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MathsMaths311 views·Updated 21 Jul 2026·7 pages

Year 9 Maths Test: Questions and Answers PDF Free

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- revision help -@xrevisiontipsandtricksx

The Year 9 foundation assessment questions and answers pdfprovides...

1
of 7
Year 9 Assesment 3:Foundation  – page 1

Page 2: Questions 1-3

This page contains the first three questions of the Year 9 Maths Test with answers pdf.

Question 1 involves multiplying decimal numbers: 0.004 x 0.32.

Question 2 is a multi-step problem about cinema seating and ticket sales. Students need to calculate the number of unsold tickets based on given information.

Example: For Question 2, students must calculate the total number of seats (14 rows x 15 seats = 210) and compare it with the number of tickets sold.

Question 3 deals with volume measurements, requiring students to calculate leftover soup after serving a certain amount in bowls.

Vocabulary: Pint - a unit of volume commonly used in the UK and US, equivalent to about 568 ml in the UK.

2
of 7
Year 9 Assesment 3:Foundation  – page 2

Page 3: Questions 4-6

This page continues with questions 4-6 of the Year 9 Maths test Papers with answers pdf free download.

Question 4 involves calculations with standard form, asking students to divide and express the result in standard form.

Question 5 requires finding the Highest Common Factor (HCF) of three numbers: 32, 48, and 72.

Definition: Highest Common Factor (HCF) is the largest positive integer that divides each of the numbers without a remainder.

Question 6 is a real-world problem involving bus schedules. Students need to determine when buses to two different destinations will next leave the station at the same time.

Example: For Question 6, students must find the least common multiple of the bus intervals (24 minutes and 20 minutes) to solve the problem.

3
of 7
Year 9 Assesment 3:Foundation  – page 3

Page 4: Questions 7-9

This page features questions 7-9 of the Year 9 foundation assessment questions and answers gcse mathematics.

Question 7 has three parts dealing with standard form: a) Converting from standard form to an ordinary number b) Writing a decimal in standard form c) Adding numbers in standard form

Question 8 asks students to convert a decimal (0.4) to a percentage.

Question 9 is a reverse percentage problem. Students must calculate the original value of a car before a 15% decrease, given its current value.

Highlight: In Question 9, students need to recognize that the current value represents 85% of the original value.

4
of 7
Year 9 Assesment 3:Foundation  – page 4

Page 5: Questions 10-12

This page contains questions 10-12 of the Year 9 Maths test papers with answers PDF 2023.

Question 10 requires students to write 37% as a fraction.

Question 11 asks students to write 5/8 as a decimal.

Question 12 is a two-part question about percentage increase and decrease: a) Explaining why Bill's method for calculating a 3% increase is incorrect b) Completing a statement to show how to decrease a number by 3%

Highlight: In Question 12, students must recognize that multiplying by 1.3 represents a 30% increase, not a 3% increase.

5
of 7
Year 9 Assesment 3:Foundation  – page 5

Page 6: Questions 13-14

This page features questions 13 and 14 of the Year 9 Foundation Maths test.

Question 13 involves compound interest calculations. Students must determine the final amount in a savings account after 2 years of 4% per annum compound interest.

Vocabulary: Per annum - Latin for "per year", used to describe annual interest rates.

Question 14 is a multi-step problem about house value changes over three years, involving both depreciation and appreciation.

Example: In Question 14, students must calculate a 4% depreciation in the first year, followed by two 6% increases in the subsequent years.

6
of 7
Year 9 Assesment 3:Foundation  – page 6

Page 7: Question 15

The final page contains Question 15, concluding the Year 9 maths test papers with answers pdf NON calculator section.

This question is a real-world problem involving currency conversion and budgeting. It has two parts: a) Determining if Rehan has enough money to buy all desired items b) Using approximation to explain why Rehan's statement about the cost of trainers is incorrect

Highlight: Part bb requires students to use estimation skills to quickly determine if a statement is true or false.

This question tests students' ability to apply mathematical concepts to practical situations, combining currency conversion, budgeting, and estimation skills.

7
of 7
Year 9 Assesment 3:Foundation  – page 7

Page 1: Assessment Instructions

This page outlines the key information and instructions for the Year 9 foundation assessment.

The assessment paper has a total of 37 marks, with marks for each question clearly indicated. Students are advised to use this as a guide for time management.

Highlight: Read each question carefully before starting to answer.

Important instructions include:

  • Keeping an eye on the time
  • Attempting every question
  • Checking answers if time permits
  • Showing working for questions worth more than 2 marks

Definition: Foundation assessment refers to the basic level of difficulty in GCSE mathematics exams.

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Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

You can download the app from Google Play Store and Apple App Store.

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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MathsMaths311 views·Updated 21 Jul 2026·7 pages

Year 9 Maths Test: Questions and Answers PDF Free

user profile picture
- revision help -@xrevisiontipsandtricksx

The Year 9 foundation assessment questions and answers pdf provides a comprehensive test for students studying GCSE mathematics. This assessment covers various mathematical concepts and problem-solving skills essential for Year 9 students.

  • The paper consists of 15 questions with...
1
of 7
Year 9 Assesment 3:Foundation  – page 1

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Page 2: Questions 1-3

This page contains the first three questions of the Year 9 Maths Test with answers pdf.

Question 1 involves multiplying decimal numbers: 0.004 x 0.32.

Question 2 is a multi-step problem about cinema seating and ticket sales. Students need to calculate the number of unsold tickets based on given information.

Example: For Question 2, students must calculate the total number of seats (14 rows x 15 seats = 210) and compare it with the number of tickets sold.

Question 3 deals with volume measurements, requiring students to calculate leftover soup after serving a certain amount in bowls.

Vocabulary: Pint - a unit of volume commonly used in the UK and US, equivalent to about 568 ml in the UK.

2
of 7
Year 9 Assesment 3:Foundation  – page 2

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  • Join milions of students

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Page 3: Questions 4-6

This page continues with questions 4-6 of the Year 9 Maths test Papers with answers pdf free download.

Question 4 involves calculations with standard form, asking students to divide and express the result in standard form.

Question 5 requires finding the Highest Common Factor (HCF) of three numbers: 32, 48, and 72.

Definition: Highest Common Factor (HCF) is the largest positive integer that divides each of the numbers without a remainder.

Question 6 is a real-world problem involving bus schedules. Students need to determine when buses to two different destinations will next leave the station at the same time.

Example: For Question 6, students must find the least common multiple of the bus intervals (24 minutes and 20 minutes) to solve the problem.

3
of 7
Year 9 Assesment 3:Foundation  – page 3

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  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 4: Questions 7-9

This page features questions 7-9 of the Year 9 foundation assessment questions and answers gcse mathematics.

Question 7 has three parts dealing with standard form: a) Converting from standard form to an ordinary number b) Writing a decimal in standard form c) Adding numbers in standard form

Question 8 asks students to convert a decimal (0.4) to a percentage.

Question 9 is a reverse percentage problem. Students must calculate the original value of a car before a 15% decrease, given its current value.

Highlight: In Question 9, students need to recognize that the current value represents 85% of the original value.

4
of 7
Year 9 Assesment 3:Foundation  – page 4

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  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 5: Questions 10-12

This page contains questions 10-12 of the Year 9 Maths test papers with answers PDF 2023.

Question 10 requires students to write 37% as a fraction.

Question 11 asks students to write 5/8 as a decimal.

Question 12 is a two-part question about percentage increase and decrease: a) Explaining why Bill's method for calculating a 3% increase is incorrect b) Completing a statement to show how to decrease a number by 3%

Highlight: In Question 12, students must recognize that multiplying by 1.3 represents a 30% increase, not a 3% increase.

5
of 7
Year 9 Assesment 3:Foundation  – page 5

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  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 6: Questions 13-14

This page features questions 13 and 14 of the Year 9 Foundation Maths test.

Question 13 involves compound interest calculations. Students must determine the final amount in a savings account after 2 years of 4% per annum compound interest.

Vocabulary: Per annum - Latin for "per year", used to describe annual interest rates.

Question 14 is a multi-step problem about house value changes over three years, involving both depreciation and appreciation.

Example: In Question 14, students must calculate a 4% depreciation in the first year, followed by two 6% increases in the subsequent years.

6
of 7
Year 9 Assesment 3:Foundation  – page 6

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 7: Question 15

The final page contains Question 15, concluding the Year 9 maths test papers with answers pdf NON calculator section.

This question is a real-world problem involving currency conversion and budgeting. It has two parts: a) Determining if Rehan has enough money to buy all desired items b) Using approximation to explain why Rehan's statement about the cost of trainers is incorrect

Highlight: Part bb requires students to use estimation skills to quickly determine if a statement is true or false.

This question tests students' ability to apply mathematical concepts to practical situations, combining currency conversion, budgeting, and estimation skills.

7
of 7
Year 9 Assesment 3:Foundation  – page 7

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Assessment Instructions

This page outlines the key information and instructions for the Year 9 foundation assessment.

The assessment paper has a total of 37 marks, with marks for each question clearly indicated. Students are advised to use this as a guide for time management.

Highlight: Read each question carefully before starting to answer.

Important instructions include:

  • Keeping an eye on the time
  • Attempting every question
  • Checking answers if time permits
  • Showing working for questions worth more than 2 marks

Definition: Foundation assessment refers to the basic level of difficulty in GCSE mathematics exams.

We thought you’d never ask...

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

You can download the app from Google Play Store and Apple App Store.

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Similar content

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Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

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Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user