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CBSE Class 10 Maths Question Paper 2023

The CBSE Question Paper 2023 for Class 10 Maths is provided here to help students prepare for their board exams efficiently. Maths can be tricky, and the best way to do well in Maths is to practise daily. With a little determination, you can make real strides in Maths.

The CBSE board exams are a crucial milestone in a student’s academic journey, and proper preparation is essential to excel in these exams. One of the key subjects in the CBSE Class 10 board exams is Mathematics. To aid students in their preparation for the CBSE Class 10 Maths exam, the CBSE Question Paper 2023 Class 10 Maths has been made available here. The CBSE Previous Year Question Papers provide students with an opportunity to practise and familiarise themselves with the exam pattern, marking scheme and difficulty level of the Maths exam. By solving the CBSE 2023 Question Paper of Class 10 Maths, students can identify their weak areas, manage time better, and build confidence for the exam.

Download CBSE Board Class 10 Maths Standard Question Paper 2023 With Solution

Cbse class 10 maths standard question paper solutions 2023.

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Download CBSE Board Class 10 Maths Basic Question Paper 2023 With Solution

Cbse class 10 maths basic question paper solutions 2023.

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CBSE Class 10 Maths (Standard) Question Paper 2023

The download link lets students access the CBSE Class 10 Maths (Standard) Question paper 2023.

In conclusion, solving previous years’ question papers is a crucial part of a student’s preparation for the CBSE Class 10 board exams, and the CBSE Class 10 Question Paper for Maths 2023 is a valuable resource for Maths preparation. Keep practising and striving towards your goals. To further enhance your learning experience, be sure to check out BYJU’S highly interactive videos of Science and Maths.

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Home  ›   Class 10 Previous Year Papers  ›   Class 10 Maths Previous Year  Papers

Download CBSE Class 10 Mathematics Standard 2023 Previous Year Papers PDF

Download cbse class 10 mathematics 2023  past year papers pdf.

Engaging in Mathematics Practice Papers is instrumental in assessing your grasp of the material and identifying areas where you may need improvement. Whether you tackle these papers during your exam preparation phase or as part of your regular curriculum studies, Previous Year Mathematics Papers serve as invaluable tools to help you avoid careless errors and bolster your confidence throughout your preparations.

To facilitate this, we offer a comprehensive collection of CBSE Class 10 Mathematics 2023 Question Papers, Compartment Papers, and Detailed Marking Scheme Solutions as provided by CBSE.

However, it's crucial to take a moment to review the examination structure implemented in 2023, which covered the prescribed curriculum. Each of these sets featured 38 questions, organized into five sections - A, B, C, D, and E. This understanding will aid you in making the most of these resources effectively.

Click on any of the links below and practice a 2023 paper as a surprise test or practice paper. These links are completely free and you won’t have to enter any login information.

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CBSE Class 10 Maths Question Paper 2023: Download PDF & Check Answer Key By Experts

Cbse class 10 maths exam paper 2023: cbse class 10 maths standard question paper of board exam 2023 is available here. check and download cbse class 10 maths question paper pdf with answer key..

CBSE Class 10 Maths Question Paper 2023: The Central Board of Secondary Education (CBSE) Class 10 Maths Question Paper 2023 was based on the full syllabus after doing away with the term-wise exams. The question paper had a mix of multiple choice and subjective type questions. About 40-50% of questions were of competency level. The same exam pattern will be followed in the CBSE Class 10 Maths Exam 2024. Hence, last year's question paper can be the best practice material for students preparing for the CBSE Class 10 Board Exam 2024. I n this article, we have provided the question paper PDFs of CBSE Class 10th Maths for the Board Exam 2023. Students can also check the exam analysis and answer key here. 

Class 10 Maths Question Paper and Answer Key: Key Highlights

Class 10 CBSE Maths Question Paper 2023 Preview 

CBSE Class 10 Maths Unit-wise Weightage in 2023

CBSE Class 10 Maths Standard Question Paper 2023: Pattern

• CBSE Class 10 Maths Standard Question Paper was divided into five sections – A, B, C, D, E.
• Section A had 20 multiple choice questions of 1 mark each. 
• Section B had 5 questions of 2 marks each.
• Section C had 6 questions of 3 marks each.
• Section D had 4 questions of 5 marks each. 
• Section E had 3 case-based questions of 5 marks each.
• Internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks, 2 Questions of 2 marks and 2 marks questions of Section E was provided.  

CBSE Class 10 Maths Question Paper 2023

CBSE will release the official question papers and answer keys of Class 10 later on. 

CBSE Class 10 Maths Question Paper 2023 PDF

Also check: 

CBSE Date Sheet 2024 Class 10 PDF Download

NCERT Book for Class 10 Maths PDF (Revised)

NCERT Exemplar Solutions for Class 10 Maths (Chapter-Wise

CBSE Class 10 Maths Complete Study Material

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JEE Main 2023 Question Paper with Solutions - Free PDF Download

JEE Main 2023 Question Paper with Solutions: To do well in the JEE Main exam, students must know the types of questions and challenges they will encounter. The question papers for the 2023 JEE Main exams in January and April are available as PDFs . By checking these papers and their solutions, students can see how they performed and get ready for future exams. Solving these papers is an essential part of the preparation, helping students understand and tackle tricky questions.

JEE Main Previous Year Question Paper

JEE Advanced Previous Year Question Paper

JEE Mains 2023 Question papers for session 1 held from 24-Jan-2023 to 1-Feb-2023. Download Question papers and answers PDFs from the link given below :

JEE Main 2023 Question papers for session 2 held from April 6th,2023 to April 15th,2023 Download Question papers and answers PDFs from the link given below :

Changes Introduced in JEE Main Exams 2023

 5 major Changes are  introduced in JEE Main exams 2023:

75% Criteria: Admission to B.E., B.Arch, B. Planning courses to various institutions as prescribed will be based on the All India Rank secured by the student. However, this is subject to the condition that students must secure a minimum of 75 % in the class 12th examination held by any recognized board. In the case of SC/ST students, the limit of 75% is reduced to 65%.

The number of exam cities decreased: In India the number of exam cities decreased to 399 as compared to 514 cities last year. While abroad this number has increased to 24 from 13 last year.

Increase in JEE Main registration fees: JEE Main registration fees for students in India has increased for male students from 650 Rs to 1000 Rs and for female candidates it is 800 Rs only. In the case of SC, ST, PwD, and third Gender students have to pay 500 Rs, earlier it was Rs 325. In the case of students residing abroad, fees have increased to Rs 5000 and Rs 4000 for male and female students respectively. Earlier it was Rs 3000 Rs and Rs 1500 for male and female students respectively.

Mandatory Parents Details: Students have to provide the Email and Phone Numbers of the parents/guardians to complete the registration process which was not mandatory earlier.

One application: Students applying for the JEE Main Exams students can apply for only one session at a time According to NTA “ Strict actions will be taken against students who apply for more than one application at a time”

Sections, Subjects included, and Marking pattern of JEE Mains

Jee main exam pattern 2023 - paper 1.

Exam Mode: The JEE Main 2023 exam will be conducted in a computer-based test mode, which means you will take the test on a computer.

Exam Duration: The total duration of the exam will be 3 hours. However, for persons with benchmark disabilities, the exam duration will be 4 hours.

Subjects:  The exam will cover three subjects: Physics, Chemistry, and Mathematics.

Total Number of Questions: There will be a total of 90 questions in the exam, but you need to answer only 75 questions. Each subject will have 20 Multiple Choice Questions (MCQs) and 10 numerical questions, out of which you need to answer 5 numerical questions.

Type of Questions: The exam will have two types of questions. The first type is objective questions, where you will have 4 options to choose from, and only one option will be correct. The second type is numerical questions, where you need to calculate the answer and enter it.

Marking Scheme: For the MCQs, you will be awarded 4 marks for every correct answer, and 1 mark will be deducted for every incorrect answer. For the numerical questions, the marking scheme is the same as MCQs.

Maximum Marks: The maximum marks for the JEE Main 2023 exam will be 300.

Medium of Paper: The exam can be taken in various languages, including English, Hindi, Assamese, Bengali, Gujarati, Kannada, Marathi, Malayalam, Odia, Punjabi, Tamil, Telugu, and Urdu.

JEE Main Exam Pattern 2023 - Paper 2

Mode of Examination: The JEE Main 2023 exam will be conducted in a computer-based format, except for the Drawing section in the B.Arch paper, which will be done offline.

Language of Examination: The exam will be available in English and Hindi for all center cities.

Duration of Examination: The total duration of the exam is 3 hours.

Number of Sections: Both B.Arch and B.Plan papers have three sections.

a.) Mathematics

b.) Aptitude test

c.) Drawing test

c.) Planning test

Type of Questions: In the B.Arch paper, the Mathematics section has multiple-choice questions and questions with numerical value answers. The Aptitude section has multiple-choice questions, and the Drawing section tests your drawing aptitude. In the B.Plan paper, the Mathematics and Aptitude sections have multiple-choice questions, while the Planning section also consists of multiple-choice questions.

Number of Questions: The B.Arch paper has a total of 82 questions, while the B.Plan paper has 105 questions.

Total Marks: The maximum mark for both papers is 400.

Marking Scheme: For multiple-choice questions, you will be awarded 4 marks for each correct answer, and there will be a negative marking of 1 mark for each incorrect answer. For questions with numerical value answers, the marking scheme remains the same. In the Drawing Test of the B.Arch paper, two questions will be evaluated out of 100 marks.

These are the essential details about the JEE Main 2023 exam pattern, including the mode of examination, sections, types of questions, marking scheme, and duration. Make sure to understand these details to prepare effectively for the exam.

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2023 Mathematics Specimen Paper 1

In this post, you’ll find the worked solutions for 2023 Mathematics specimen paper 1.

Questions from the 2023 Mathematics Specimen Paper 1

Click on the question below to go directly to the solutions of each question

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 1: Algebra

Question 2: numbers (lcm and hcf), question 3: numbers (estimation and standard form), question 4: algebra – expand and simplify, question 5: statistics (pie chart).

(b) The pie chart only gives us information about the proportion of adults in each age group. The number of adults in any age group, or total number of adults are not given. Hence, it is not possible to calculate the number of adults overs 60 years old.

Question 6: Algebra (Quadratic Functions)

(a) Part a involve completing the square for a quadratic function. Alternatively, you could expand the “complete- the- square” form, and compare coefficient to find n.

(b) The square of any number must be at least 0. For (x-6) 2 to be minimum, x = 6. (x-6) 2 -19 is a minimum when x = 6.

Question 7: Geometry (Construction of lines)

Question 8: algebra, question 9: properties of circles.

⦟BDC = 180 o – 124 =56 o

⦟ADB =⦟ABD = 37 o ( angles in an isos triangle)

⦟ADC = ⦟ADB + ⦟BDC =56 o + 37 o = 93 o

⦟ABC= ⦟ABD + ⦟DBC =37 o + 50 o = 87 o

Since ⦟ABC +⦟ADB = 180 o , ⦟ABC and ⦟ADB are opposite angles in a cyclic quadrilateral, A, B, C and D lie on the circumference of a circle, and it is possible to draw a circle passing through them.

Question 10: Ratio

In this question, student can use a non- algebra or an algebra method to solve this question on ratio.

Question 11: Numbers (Mean)

(a) 20 x 78 = 1560 kg

(b) Total weight of males = 12 x 84 = 1008 kg

Total weight of females = 1560 – 1008 = 552 kg

Mean weight of females = 552 / 8 = 69 kg

Question 12: Algebra

Question 13: algebra, question 14: coordinate geometry, question 15: algebra, question 16: congruent triangles, question 17: algebra (factorize).

(a) 9wx + y – 3x -3wy

= 9wx – 3wy – 3x + y

= 3w(3x-y) – (3x-y)

= (3w-1)(3x-y)

(b) 5x 4 – 80y 4

= 5( x 4 – 16y 4 )

= 5( x 2 – 4y 2 )( x 2 + 4y 2 )

= 5( x + 2y)( x – 2y)( x 2 + 4y 2 )

Question 18: Matrices

Question 19: geometry – angles of a polygon, question 20: properties of circles, question 21: area and length of sectors.

(a) perimeter of sector = 8.2(2.2) + 8.2 + 8.2 = 34.44 cm

(b) πr(8.2) = ½(8.2) 2 (2.2)

r= 2.87078 = 2.87 cm (3 s.f.)

Question 22: Set notation and Venn Diagrams

a(i) A = {17, 19, 23}

(ii) B = { 20, 25}

ε = {16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

Hence, (A U B)’ ={16, 18, 21, 22, 24}

b(i) The correct statement is:

(ii) (a) 10 (b) 3

Question 23: Trigonometry

Question 24: statistic.

(a)(i) 26/50 = 13/25

(ii) 20- 22 cm

(iii) [4(17) + 21(19) + 20(21) + 5(23) + 1(25)]/50 = 20.54 cm

(b) 1. Median and mode for males occur at the same headspan rage of 22 – 24 cm. For female, they occur at different headspan range. For females, the median headspan occurs at the 20- 22 cm range, while the mode occurs in the 18- 20 cm range.

2. The mean headspan of males are larger than the mean headspan of females.

Question 25: Similar triangles and figures

(a) x/7.5 = (10-2) / 10

x = 7.5(8/10) = 6 cm

(b) Volume of glass block = (2/10) 3 [1/3 x 7.5 x 7.5 x 10] = 1.5 cm 3

mass = 1.5 x 2.6 = 3.9 g

Question 26: Number patterns

(b) 4n + 6 = 264

Since n should be an interger as it is the term number of a sequence, hence 264 is not a term of this sequence.

(c) 2n 2 + 8n = 384

2n 2 + 8n – 384 = 0

n 2 + 4n – 192 = 0

(n +16)( n – 12) = 0

n = 12 or -16 (reject -16, since n is positive)

Hence, n = 12

Worked Solutions for 2023 Mathematics Specimen Paper:

2023 Specimen Paper for Mathematics Paper 1

2023 Specimen Paper for Mathematics Paper 2

Download the papers:

JEE Main 2023 Mathematics (January) Chapter wise Questions with Solutions

Jee main mathematics chapter-wise solved questions (january 2023) – pdf download.

Download JEE Main 2023 (January) Chapter wise solved questions for Mathematics in PDF format prepared by expert IIT JEE teachers at MathonGo. By solving JEE Main January 2023 chapterwise questions with solutions will help you to score more in your IIT JEE examination.

If you want to download more JEE Main Chapterwise solved questions for JEE Main click here

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What’s Next? Analysis of GCSE Maths Paper 1 Topics With Recommended Revision List For GCSE Maths Paper 2 and Paper 3 (2023)

Christine Norledge

Originally published Monday 22nd May 2023

Expert consultant and contributor Christine Norledge gives a detailed analysis of the GCSE maths Paper 1 topics this year from both the Foundation and Higher papers to provide key recommendations on what’s likely to come up on Papers 2 and 3. Includes a hit list of recommended topics to revise next. 

We’re here again! It feels like five minutes since I sat down to analyse 2022’s summer GCSE papers, but another year has passed and another cohort have just sat their GCSE Maths Paper 1.

Last year’s exams felt a little unusual with advance information for each paper, but this year we are more or less back to normal – the only adaptation that has remained in 2023 is the provision of formulae sheets for GCSE maths, physics and combined science.

After each paper, I find it useful to go through and check off the topics that we’ve had, in order to provide students with a hit-list of areas to focus their revision for the next paper. 

This blog is my analysis of the 2023 Foundation and Higher Paper 1, with some suggestions to support your students in preparing for the Paper 2 and Paper 3.

This blog focuses on the Edexcel papers, rather than AQA, OCR or IGCSE. It’s also specifically about GCSE mathematics, rather than any A Level exams.

Be aware that the analysis and recommendations that follow are my own interpretation of GCSE maths Paper 1, and are not endorsed in any way by Edexcel. The question papers and mark schemes are yet to be formally released.

GCSE MATHS 2024: STAY UP TO DATE Join our email list to stay up to date with the latest news, revision lists and resources for GCSE maths 2024. We’re analysing each paper during the course of the 2024 GCSEs in order to identify the key topic areas to focus on for your revision. Thursday 16th May 2024: GCSE Maths Paper 1 2024 Analysis & Revision Topic List Monday 3rd June 2024: GCSE Maths Paper 2 2024 Analysis & Revision Topic List Monday 10th June 2024: GCSE Maths Paper 3 2024 Analysis GCSE 2024 dates GCSE 2024 results (when published) GCSE results 2023

Hit list of revision recommendations for Edexcel Paper 2 & 3

Foundation tier revision focus hitlist, higher tier revision focus list, data behind the revision focused hit lists for paper 2 and paper 3, student reactions to maths paper 1, process and terminology used in the analysis of paper 1, detailed analysis of maths paper 1 foundation 2023, detailed analysis of maths paper 1 higher 2023.

• What’s next? Preparing for Papers 2 and 3
• What’s next for your GCSE maths revision

Addendum: Links to the free maths revision guides for all topics in the hit lists above

Stay updated for 2024 GCSE season Join our email list to be alerted to any new changes to GCSE maths exams in 2024. We’ve got all the GCSE dates 2024 and we will be reviewing the contents of each of the GCSE maths papers in 2024 and taking a good look at the GCSE results 2024 in August. Take a look at GCSE Maths Paper 1 2024 Analysis And Revision Topic List

Free GCSE maths revision resources for schools As part of the Third Space Learning offer to schools, the personalised online GCSE maths tuition can be supplemented by hundreds of free GCSE maths revision resources from the secondary maths resources library including: – GCSE maths past papers – GCSE maths predicted papers – GCSE maths worksheets – GCSE maths questions – GCSE maths topic list

Let’s start with the hit list of recommended revision priorities for Edexcel Paper 2 and Paper 3 and then move on to the analysis. But keep in mind that, to quote @justmaths on Twitter, “No one can predict what is going to come up”.

We’d all like to know what’s going to be on Paper 2 and 3 but we don’t. What we can do is make educated and informed guesses based on what is likely to come up. And that’s what follows.

Below are the two lists of topics I’d direct students towards to ensure that they can do confidently before the next two papers. These should be viewed as a suggested, incomplete list, not an exclusive prediction of the next two papers! 

How best to share these revision recommendations

If you’re concerned that your students may ‘over-interpret’ this list, then consider sharing it with them in a different format. Using the Third Space Learning secondary maths resources library you will be able to create your own collection of practice exam questions targeting these top topics. 

To make it easier for you we’ve already put together a free bundle that includes worksheets on the hit list topics. Each worksheet includes functional and applied reasoning questions, practice questions and exam style questions 

At the end of this blog you’ll also find links to the specific GCSE maths revision resources, questions and worksheets you’ll need for each of the hit-list topics, which may be useful in producing revision resources along these lines for your students.

Paper 2 & Paper 3 Revision: GCSE Exam Questions & Worksheets

Based on the Edexcel GCSE Maths Exam 2023 Paper 1, this resource provides all of the worksheets that accompany our revision guides and correspond to the recommended revision priorities for Edexcel Paper 2 and Paper 3.

To create this list, I’ve used a combination of:

• Data from my analyses of previous June series of Foundation and Higher papers;
• Lists of topics that have more frequently appeared on calculator papers;
• Topics that are by necessity only assessed on the calculator papers;
• Topic lists from Paper 1 Foundation and Higher sat by students on 19th May.

For some topics that have already appeared, it is less likely (but not impossible!) that they will come up in subsequent papers – so for this series, that’s things like a tree diagram given in a question, or drawing a frequency polygon.

Some topics are so broad-reaching that they appear on two or more papers – for example, it’s almost guaranteed that there will be more proportional reasoning on one of the Foundation calculator papers, but this is unlikely to be another recipe problem.

For further detail and other suggested topics, please see the more detailed tables and analysis that follows.

Before we get into my analysis of Paper 1, let’s have a quick look at what this year’s cohort made of the papers.

As usual, students took to social media in their droves to offer their opinions and witty takes on Edexcel Foundation and Higher Paper 1. 

The ‘carrots and tomatoes’ question on the Higher got a lot of mentions – the easiest solution required students to write and solve a pair of simultaneous equations, but the sticking point for many was converting the second piece of information (given as a ratio) into a usable equation.

The division by a two-digit decimal upset a few people on Foundation and Higher…

…but generally the reaction to the papers were fairly positive from students, with a few having a really positive experience.

Now let’s look in more detail in the topics and questions we saw in the 2023 GCSE maths paper 1. 

In this blog, I’ve used the same processes and classifications as in my previous exam analysis blog posts:

• Question Level Analysis Of Edexcel Maths Past Papers (Foundation) (2017-2019)
• Question Level Analysis Of Edexcel GCSE Maths Higher Past Papers (2017-2019)

And 2022’s series of exam paper analysis blogs:

• GCSE maths Paper 1 2022
• GCSE maths Paper 2 2022
• GCSE maths Paper 3 2022

To summarise, I’ve gone through the paper and assigned a topic and strand to each question, noted the number of marks available and also given a ‘complexity’ score, which broadly aligns with the GCSE assessment objectives (see more below).

Topic classification used across all GCSE maths papers

Standard abbreviations are used as follows:

In order to simplify the analysis process, I have classified the high-mark problem-solving questions in the maths past papers by their main topic, or by the topic that’s required to access any of the marks on the question. 

For example, I have classified the volume of a cylinder and pressure question that appears in the crossover content as primarily “volume of a cylinder”, as it’s difficult to do anything meaningful with the pressure/force/area formula unless the candidate can use volume and height to work backwards and calculate the base area.

This does lose a little bit of the detail, but makes it easier to look for trends across a larger data set. 

Complexity classification used across all GCSE maths papers

It should be noted that this is not a ‘difficulty’ measure – for example, ‘higher grade’ topics on each tier, such as simultaneous equations on Foundation tier or trigonometric graphs on Higher tier, are often examined as standard procedural. We can see examples from this year’s Paper 1 with frequency polygons and fraction calculations in the crossover content (i.e. top end of Foundation), and the 3D trigonometry question towards the end of the Higher paper.

The suggestions that follow are based on data analysis of the June 2017-2019 and 2022 exam papers (i.e. the ones that were actually sat by students) – this is four series of papers.

These are only ever going to be informed recommendations from me so I leave it of course to your professional judgement to decide on what to do with the information.

This year’s Foundation Paper 1 felt generally fair and accessible, particularly given that this year’s cohort have had considerable disruption to learning time as a result of the pandemic. The paper started with some nice one-markers and ramped slowly in comparison with some previous papers – for example, Q11 involved students carrying out a simple subtraction in context for two marks, which seems quite generous.

Topic allocation in Maths Paper 1 (Foundation) 2023

In the pre-crossover content, most questions were very straightforward, with limited sneaky bits for students to spot or be tripped up by. As is to be expected, some students reportedly struggled with the crossover volume of a cylinder/pressure question, but it’s worth noting that even this one only required students to use volume = area of cross section x length, rather than the full volume of a cylinder formula – both of which appear on the formula sheet.

Complexity of questions in Maths Paper 1 (Foundation) 2023 compared to previous years

2023’s Paper 1 is proportionally similar in complexity to June 2022, which is to be expected given the disruption these cohorts have experienced. Nearly 60% of the paper was C1 (standard procedural) questions, reflective of the lack of “sneaky questions” or nuance to the way most questions were asked. 

C2 content appears fairly consistent across summer series, with roughly 20% of the marks on the paper available for questions involving reasoning, interpreting charts or tables, reading and synthesising information.

2023’s paper has the lowest proportion of C3 questions of all the summer series so far – again, this is possibly deliberate on the part of the examiners to make allowances for the cohort.

Mark allocation for topics in Maths Paper 1 (Foundation) 2023 with comparison to previous years

This paper has significantly more marks available for the Number strand and fewer for the Proportion strand than previous series, with very little on straight proportion or ratio questions. 

As such, we can probably expect to see more on Papers 2 and 3, particularly reasoning or problem solving. Within Number, the rough 50/50 balance between Properties and Calculations and Fractions, Decimals and Percentages is within the expected variation.

In Algebra, Shape, Probability and Statistics, there is no significant variation from normal patterns. Of note for Papers 2 and 3 is the relatively low proportion of marks for Equations and Inequalities (we’ve only seen one 1-mark question so far for this important sub-strand), and limited work on Shape Properties and Constructions; I would expect that these in particular will be hit harder on the following papers.

This year’s Higher paper also felt very accessible, with plenty of straightforward content in the paper’s crossover content with Foundation to ease students in. 

Topic allocation in Maths Paper 1 (Higher) 2023

As discussed, some students took umbrage to the paper starting with decimal division, but decimal calculation within the first five questions on Higher isn’t unusual. Of the remaining crossover content, the fraction multiplication, frequency polygon, scatter graph and reverse percentage questions in particular were straightforward and procedural.

Of the topics that only appear on Higher, quite a few questions are directed towards the lower end of the difficulty spectrum – for example, the proportion equation was a simple direct proportion “use these values to find a missing value”, which doesn’t even require writing an equation, whereas on previous series we’ve seen questions requiring candidates to combine two proportion equations, often involving squares or cubes.

The only questions in the Higher only content that included significant amounts of topic embedding or unfamiliar or unusual combinations were 

• Q16 – volume of a sphere with fractions and simplifying surds 
• Q18 – the infamous carrots and tomatoes question, which involved writing a ratio as a fraction to derive a pair of simultaneous equations

The other high-mark questions contained topic combinations that students would likely have come across in routine exercises of exam preparation – while the question on finding solutions to a pair of quadratic inequalities pulls in a lot of algebra topics (such as factorising and solving quadratics), these are expected and will have been rehearsed within lessons.

Complexity of questions in Maths Paper 1 (Higher) 2023 compared to previous years

As with Foundation, 2023’s Higher Paper 1 is very similar in complexity to June 2022, which may be reflective of allowances made in exam writing to account for the disruption these cohorts have experienced. 

June 2018 and 2019 had a higher ratio of C3 to C1 to questions (over half of the paper). In comparison the two most recent papers sit at around 40% of the marks available on multi-step questions requiring in-depth thinking, problem-solving or applications of several topics.

C2 content is again fairly consistent across summer series. Approximately 15% of the marks on Higher Paper 1 were available for questions involving reasoning, interpreting charts or tables, reading and synthesising information.

Mark allocation for topics in Maths Paper 1 (Higher) 2023 with comparison to previous years

Although the marks available for Number topics (Properties and Calculations, and Fractions, Decimals and Percentages) are within usual variations, Proportion appears unusually low. This may be partially due to this strand not appearing significantly in the crossover content for Paper 1. Again, I think we can expect more on Papers 2 and 3, particularly reasoning or problem solving. 

In Algebra, Shape, Probability and Statistics, there is no significant variation from normal patterns. Statistics content is always fairly low on Paper 1 (it tends to get hit harder on Papers 2 and 3, where there is more space for it), so we’ll probably see more of this in the papers to come.

What’s next? Preparing for Papers 2 and 3

As Papers 2 and 3 are both Calculator papers, they are functionally identical with no difference between what can appear on either paper. So any suggestions we’re giving students at this stage apply equally to both of the remaining papers.

The rest of this article looks across the past 4 years’ data we have on both Foundation and Higher summer papers to highlight in more detail how topics and questions have fallen across Papers 1, 2 and 3 and what you might expect to see this year for the remaining papers. 

Each section and chart is an attempt to answer a key question that will inform the next stage of your GCSE revision.

Practical revision and exam tips 

If, after the first exam you think your students are still struggling with mapping out their revision effectively, then it’s also worth reviewing the guidance and resources available for them here:

• Free revision timetable template 
• How to revise (20 proven techniques)
• How to revise for GCSE 
• Exam techniques and making the most of every mark

‘Calculator topics’ vs ‘Non-Calculator topics’ 

The nature of some questions and topics mean they are more suited to one or the other – for example, questions where there are marks available for accurate calculation methods, such as fraction arithmetic, are more likely to appear on the Non-Calculator paper. However, it’s worth remembering that such topics could appear on the Calculator papers as a ‘show that’ or ‘spot the mistake’ question, or as an assumed skill for more advanced work.

Topics which don’t require a calculator, such as transformations, constructions, sketching and transforming graphs tend to appear slightly more frequently on the two Calculator papers, just because there is less room for them on the Non-Calculator paper! This skew is more apparent on Higher than Foundation, with the Higher Calculator papers usually containing less explicit work on Number and Proportion, and more on Algebra and Shape.

Question: Which topics have appeared most frequently across all papers?  

Topic frequency by paper (Foundation, all previous summer series) 

Topic frequency by paper (Higher, all previous summer series) 

Question: Which topics have appeared most frequently on the Calculator papers?  

The topics below have either appeared exclusively on the Calculator papers, or have a significant proportion (< 80%) of appearances on the Calculator papers.

As many of these are traditionally crossover topics, and some have appeared very frequently in the previous four series, it is unlikely that all of the topics listed below will appear in 2023 . Italicised topics have appeared on the first paper.

Most frequent Paper 2 and Paper 3 topics (Foundation and Higher)

Question: Which topics have appeared on every summer Calculator paper so far?  

The topics below have appeared in every series of live summer exam papers (2017-2019, 2022), either on Paper 2 or Paper 3, or both. As such, there’s a reasonable probability that a good proportion of these will come up this year on either of the Calculator papers. Anything relevant to this year’s Paper 1 has been noted in italics.

This would be a good place to start in collating a “general Calculator Paper” practice booklet – there are some suggestions of questions that you could use with students so they know what sorts of things to expect.

25 topics seen on every June series Foundation Maths Paper 2 and Paper 3

13 topics seen on every June series Higher Maths Paper 2 and Paper 3

Question: Which Calculator topics haven’t been seen for a while?

This is a selection of topics that have only appeared once on the Calculator papers between 2017 and 2019, and did not appear in the 2022 series. These may be ones to watch out for as less frequently assessed, but perhaps due a turn this year!

Some of these are good topics to hit once students are really confident and fluent with the essentials for each paper – definitely not an area to focus all of their revision. For example, I’d mention to Higher students aiming for grades 8-9 to check their understanding of invariance, as it’s a topic that’s often forgotten, won’t be worth many marks, but may be relevant for those trying to get every possible mark on the paper.

6 topics missing from recent Foundation Papers 2 and 3

11 topics missing from recent Higher Papers 2 and 3

What’s next for your GCSE maths revision

That concludes our analysis so far on the two first maths papers. The dates for the next two GCSE maths papers are:

• Paper 2 – Wednesday 7th June
• Paper 3 – Wednesday 14th June

We’ll be back then with an updated hit-list and some further analysis in between Papers 2 and 3. 

The suggested list of topics won’t change significantly between these two papers, but we’ll be able to narrow down our hit-list for Paper 3 once we know how Paper 2 pans out.

Look out for a more in-depth analysis of the series as a whole towards the end of June, when we’ll be thinking about how you can use this year’s exam questions with next year’s cohort and doing some more data-crunching to look at how this series sits in the wider context of previous Edexcel exam papers.

Foundation tier revision guides

Higher tier revision guides

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Content Curator | Updated On - Jul 10, 2024

JEE Main 2023 Question Papers with solutions and answer key PDF are available for download.  Apart from solving 2023 question papers, candidates must practice JEE Main Previous Year Question Paper to know the exam trends and the types of questions asked.

JEE Main 2023 Question Paper with Solution and Answer Key PDF- Session 2

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JEE Main 2023 B.Arch/B.Planning Question Paper

JEE Main 2023 B.Arch question paper includes total 82 questions. Just like B.Tech paper, the Mathematics section in BArch consists of a total of 30 questions (20 MCQs + 10 numerical type questions). Additionally, the Aptitude section includes 50 questions and the Drawing section includes 2 questions. Candidates are required to answer 25 questions from Mathematics and all questions from the Drawing and Aptitude section. The drawing section carries a weightage of 100 marks (50 + 50 marks for each question).

JEE Main 2023 B. Planning question paper has 105 questions in total divided into Mathematics, Aptitude and Planning sections. All questions from the aptitude and planning section are to be answered while 25 questions are to be answered for the Mathematics section.

Since the preparation material for JEE Main B.Arch/ B.Planning is not as extensive as B.Tech, solving the previous year question papers is considered the best practice for exam preparation. Therefore to assist JEE Main 2023 B.Arch/ B.Planning candidates, previous year paper 2 question papers have been linked in the table below.

JEE Main 2023 Question Paper Shift 1 and Shift 2

JEE Main 2023 Question Paper 1 Feb Shift 1

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JEE Main 2023 Questions

1. let  \(a_1,a_2,a_3\) , ..., an, be in a. p. and  \(s_n\)  denotes the sum of first  \(n\)  terms of this a. p. is  \(s_{10}\)  = \(390, \frac{a_{10}}{a_{50}} =\frac{15}{7}\) , then  \(s_{15} -s_5 =\)  _________., 2. if  \(4 cos\ θ + 5 sin\ θ = 1\) , then all possible values of  \(tan\ θ\) , is/are where,  \(θ∈(-\frac \pi2,\frac \pi2)\), 3. let  \(α\)  and  \(β\)  the roots of equation  \(px^2 + qx - r = 0\) , where  \(p≠ 0\) . if  \(p,q,r\)  be the consecutive term of non constant g.p and  \(\frac{1}{α} + \frac{1}{β} = \frac{3}{4}\)  then the value of  \((α - β)^2\)  is:, 4. if the 20 th term from the end of the progression 20,19 \({\frac{1}{4}}\)  ,18 \({\frac{1}{2}}\)  ,17 \({\frac{3}{4}}\)  ,……, -129 \({\frac{1}{4}}\)  is______, 5. if the domain of the function  \(f(x)\)  =  \(\frac{\sqrt{x^2-25}}{(4-x^2)}+ \log(x^2+2x-15)\)  is  \((-∞, α) ∪ (β, ∞)\) , then  \(α^2+β^2\)  is equal to  \(b\).

* The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

JEE Main 2023 Question Paper April 6 Shift 1

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How to cite ChatGPT

Use discount code STYLEBLOG15 for 15% off APA Style print products with free shipping in the United States.

We, the APA Style team, are not robots. We can all pass a CAPTCHA test , and we know our roles in a Turing test . And, like so many nonrobot human beings this year, we’ve spent a fair amount of time reading, learning, and thinking about issues related to large language models, artificial intelligence (AI), AI-generated text, and specifically ChatGPT . We’ve also been gathering opinions and feedback about the use and citation of ChatGPT. Thank you to everyone who has contributed and shared ideas, opinions, research, and feedback.

In this post, I discuss situations where students and researchers use ChatGPT to create text and to facilitate their research, not to write the full text of their paper or manuscript. We know instructors have differing opinions about how or even whether students should use ChatGPT, and we’ll be continuing to collect feedback about instructor and student questions. As always, defer to instructor guidelines when writing student papers. For more about guidelines and policies about student and author use of ChatGPT, see the last section of this post.

Quoting or reproducing the text created by ChatGPT in your paper

If you’ve used ChatGPT or other AI tools in your research, describe how you used the tool in your Method section or in a comparable section of your paper. For literature reviews or other types of essays or response or reaction papers, you might describe how you used the tool in your introduction. In your text, provide the prompt you used and then any portion of the relevant text that was generated in response.

Unfortunately, the results of a ChatGPT “chat” are not retrievable by other readers, and although nonretrievable data or quotations in APA Style papers are usually cited as personal communications , with ChatGPT-generated text there is no person communicating. Quoting ChatGPT’s text from a chat session is therefore more like sharing an algorithm’s output; thus, credit the author of the algorithm with a reference list entry and the corresponding in-text citation.

When prompted with “Is the left brain right brain divide real or a metaphor?” the ChatGPT-generated text indicated that although the two brain hemispheres are somewhat specialized, “the notation that people can be characterized as ‘left-brained’ or ‘right-brained’ is considered to be an oversimplification and a popular myth” (OpenAI, 2023).

OpenAI. (2023). ChatGPT (Mar 14 version) [Large language model]. https://chat.openai.com/chat

You may also put the full text of long responses from ChatGPT in an appendix of your paper or in online supplemental materials, so readers have access to the exact text that was generated. It is particularly important to document the exact text created because ChatGPT will generate a unique response in each chat session, even if given the same prompt. If you create appendices or supplemental materials, remember that each should be called out at least once in the body of your APA Style paper.

When given a follow-up prompt of “What is a more accurate representation?” the ChatGPT-generated text indicated that “different brain regions work together to support various cognitive processes” and “the functional specialization of different regions can change in response to experience and environmental factors” (OpenAI, 2023; see Appendix A for the full transcript).

Creating a reference to ChatGPT or other AI models and software

The in-text citations and references above are adapted from the reference template for software in Section 10.10 of the Publication Manual (American Psychological Association, 2020, Chapter 10). Although here we focus on ChatGPT, because these guidelines are based on the software template, they can be adapted to note the use of other large language models (e.g., Bard), algorithms, and similar software.

The reference and in-text citations for ChatGPT are formatted as follows:

• Parenthetical citation: (OpenAI, 2023)
• Narrative citation: OpenAI (2023)

Let’s break that reference down and look at the four elements (author, date, title, and source):

Author: The author of the model is OpenAI.

Date: The date is the year of the version you used. Following the template in Section 10.10, you need to include only the year, not the exact date. The version number provides the specific date information a reader might need.

Title: The name of the model is “ChatGPT,” so that serves as the title and is italicized in your reference, as shown in the template. Although OpenAI labels unique iterations (i.e., ChatGPT-3, ChatGPT-4), they are using “ChatGPT” as the general name of the model, with updates identified with version numbers.

The version number is included after the title in parentheses. The format for the version number in ChatGPT references includes the date because that is how OpenAI is labeling the versions. Different large language models or software might use different version numbering; use the version number in the format the author or publisher provides, which may be a numbering system (e.g., Version 2.0) or other methods.

Bracketed text is used in references for additional descriptions when they are needed to help a reader understand what’s being cited. References for a number of common sources, such as journal articles and books, do not include bracketed descriptions, but things outside of the typical peer-reviewed system often do. In the case of a reference for ChatGPT, provide the descriptor “Large language model” in square brackets. OpenAI describes ChatGPT-4 as a “large multimodal model,” so that description may be provided instead if you are using ChatGPT-4. Later versions and software or models from other companies may need different descriptions, based on how the publishers describe the model. The goal of the bracketed text is to briefly describe the kind of model to your reader.

Source: When the publisher name and the author name are the same, do not repeat the publisher name in the source element of the reference, and move directly to the URL. This is the case for ChatGPT. The URL for ChatGPT is https://chat.openai.com/chat . For other models or products for which you may create a reference, use the URL that links as directly as possible to the source (i.e., the page where you can access the model, not the publisher’s homepage).

Other questions about citing ChatGPT

You may have noticed the confidence with which ChatGPT described the ideas of brain lateralization and how the brain operates, without citing any sources. I asked for a list of sources to support those claims and ChatGPT provided five references—four of which I was able to find online. The fifth does not seem to be a real article; the digital object identifier given for that reference belongs to a different article, and I was not able to find any article with the authors, date, title, and source details that ChatGPT provided. Authors using ChatGPT or similar AI tools for research should consider making this scrutiny of the primary sources a standard process. If the sources are real, accurate, and relevant, it may be better to read those original sources to learn from that research and paraphrase or quote from those articles, as applicable, than to use the model’s interpretation of them.

We’ve also received a number of other questions about ChatGPT. Should students be allowed to use it? What guidelines should instructors create for students using AI? Does using AI-generated text constitute plagiarism? Should authors who use ChatGPT credit ChatGPT or OpenAI in their byline? What are the copyright implications ?

On these questions, researchers, editors, instructors, and others are actively debating and creating parameters and guidelines. Many of you have sent us feedback, and we encourage you to continue to do so in the comments below. We will also study the policies and procedures being established by instructors, publishers, and academic institutions, with a goal of creating guidelines that reflect the many real-world applications of AI-generated text.

For questions about manuscript byline credit, plagiarism, and related ChatGPT and AI topics, the APA Style team is seeking the recommendations of APA Journals editors. APA Style guidelines based on those recommendations will be posted on this blog and on the APA Style site later this year.

Update: APA Journals has published policies on the use of generative AI in scholarly materials .

We, the APA Style team humans, appreciate your patience as we navigate these unique challenges and new ways of thinking about how authors, researchers, and students learn, write, and work with new technologies.

American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.). https://doi.org/10.1037/0000165-000

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CBSE Class 12 Business Studies Question Paper Set-1 (66/4/1) 2024

Business Studies Set-1 (66/4/1) Question Paper for CBSE Class 12 - 2024 with Solutions - Download FREE PDF

Vedantu's Class 12 Business Studies Set-1 (66/4/1) Question Paper 2024 solutions offer a comprehensive guide to tackling the exam effectively. This set of solutions is designed to help students understand the key concepts and question patterns from the 2024 Business Studies exam. The solutions break down each question step-by-step, providing clear explanations and answers to help students grasp the material better and improve their exam performance. It includes various questions covering different topics in Business Studies according to the CBSE Class 12 Business Studies Syllabus . 

Whether you're revising or practising, these solutions aim to make studying more efficient and less stressful. By working through CBSE Class 12 Business Studies Previous Year Question Papers , students can get a feel for the types of questions that might appear on their exam, practice solving them, and identify areas where they might need more study.

Instructions to Follow - CBSE Class 12 Business Studies Question Paper Set-1 (66/4/1) 2024

Read the following instructions very carefully and strictly follow them :

(i) This question paper contains 34 questions. All questions are compulsory.

(ii) Marks are indicated against each question.

(iii) Answers should be brief and to the point.

(iv) Answers to questions carrying 3 marks may be from 50 to 75 words.

(v) Answers to questions carrying 4 marks may be in about 150 words.

(vi) Answers to questions carrying 6 marks may be in about 200 words.

(vii) Attempt all parts of a question together. 

Syllabus and Weightage of Units for CBSE Business Studies Class 12 - Exam 2024-25

The CBSE Class 12 Business Studies syllabus covers important topics like Business environment, Planning and organising Each topic has a set weightage, showing how much focus you should give to each one when preparing for exams.

Benefits of Solving CBSE Class 12 Business Studies Question Paper Set-1 (66/4/1) 2024

Solving Business Studies Question Paper 2024 Class 12 Set 1 (66/4/1) PDF helps students understand the format and types of questions that appear in the exam, making them more comfortable with the main exam.

By working through this question paper, students can recognise which frequently asked topics and focus their revision accordingly.

Practising with this paper helps students improve their time management during the exam, ensuring they can complete all questions within the given time limit.

Regular practice with previous papers builds confidence as students become more familiar with the types of questions and the best ways to answer them.

Going over questions multiple times helps you remember and understand important concepts better.

Vedantu Class 12 Business Studies Set-1 66/4/1 Question Paper 2024 solutions offer a clear and structured approach to understanding key concepts. The solutions break down complex problems into manageable steps, making it easier for students to grasp and apply important business principles effectively. By following these solutions, students can enhance their problem-solving skills and improve their exam performance. Overall, this set is a valuable resource for thorough preparation and achieving a better understanding of Business Studies.

Class 12 Business Studies Question Paper 2024 Links PDF Download - All Other Sets

The following table lists all the sets that are there in this Question paper. Students can refer to this to get more practice for exams.

Class 12 Business Studies Year-wise Question Papers (2013 - 2023)

Related Study Materials for Class 12 Business Studies

FAQs on CBSE Class 12 Business Studies Question Paper Set-1 (66/4/1) 2024

1. What topics are covered in the Class 12 Business Studies Set 1 (66/4/1) question paper?

This question paper includes various business studies topics such as principles of management, business environment, and financial management.

2. How is the question paper of Class 12 Business Studies structured?

The paper is divided into sections, including objective questions, short answer questions, and long answer questions, each focusing on different aspects of the syllabus.

3. What is the marking scheme in Class 12 Business Studies Question Paper 2024?

The paper is designed to test both conceptual understanding and application. Marks are allocated based on the correctness and depth of answers.

4. Are there any sample questions available for Class 12 Business Studies in Vedantu?

Yes, sample questions and solutions are often provided by Vedantu to help students practice and understand the type of questions that may appear on the exam.

5. How can I best prepare for Business Studies paper?

Review key concepts, practice past questions, and use the solutions to understand how to approach different types of questions.

6. What should I focus on while solving the paper?

Pay attention to clarity in answers, accurate application of business concepts, and following the instructions given for each question.

7. How can I use the solutions given by Vedantu in Class 12 Business Studies effectively?

Study the solutions to understand the correct approach and common pitfalls, and use them to practice similar problems on your own.

8. Can I use the solutions for self-assessment?

Yes, compare your answers with the provided solutions to identify areas where you need improvement and understand the correct approach.