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Updated Mar 17, 2026
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Year 9 Foundation Maths Test: Calculator Paper PDF with Answers
- revision help -
@xrevisiontipsandtricksx
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Page 2: Questions on Ratios and Similar Triangles
This page contains two questions focusing on ratios and similar triangles:
Question 1 asks students to calculate a fraction from a given ratio. The ratio 6:9:10 is used to share an amount of money between three people.
Question 2 deals with similar triangles. Students must: a) Calculate the length of side EF in a similar triangle. b) Determine the length of side AB using the given information.
Example: In Question 2, students use the concept of similar triangles to find missing side lengths. For instance, if triangle ABC has a side of 4 cm and triangle DEF has a corresponding side of 20 cm, the scale factor between the triangles is 5.
Vocabulary: Similar triangles are triangles that have the same shape but may be different sizes, with corresponding angles equal and sides proportional.
Page 3: Enlargement, Angles, and Proportional Reasoning
This page includes three questions on various topics:
Question 3 tests understanding of enlargement on a coordinate grid. Students must: a) Identify the scale factor of enlargement between two triangles. b) Explain why the angles in an enlarged triangle remain the same, despite the scale factor.
Question 4 involves proportional reasoning with weights and costs. Students calculate the cost of 3.5 kg of apples given the price of 2.5 kg.
Definition: Enlargement is a transformation that changes the size of a shape without altering its angles.
Highlight: It's crucial to remember that in enlargements, only the side lengths change, not the angles.
Page 4: Proportionality and Unit Conversions
This page focuses on proportionality and unit conversions:
Question 5 asks students to identify which graph represents direct proportion among four different types of proportionality.
Question 6 involves using a graph to convert between ounces and grams. Students must: a) Convert 850 grams to ounces. b) Convert 80 ounces to grams.
Vocabulary: Direct proportion is a relationship between two quantities where one is a constant multiple of the other, represented by a straight line through the origin on a graph.
Example: In the conversion graph, students can see that 10 ounces is equivalent to approximately 300 grams.
Page 5: Problem-Solving with Ratios and Proportions
This page contains two multi-step problem-solving questions:
Question 7 requires students to calculate if Ms. Ahmed has enough money to buy 20 pens and 20 folders, given the prices for smaller quantities.
Question 8 involves a complex ratio problem where three people share sweets in the ratio 4:5:7, with additional information about the difference in quantities.
Highlight: These questions test students' ability to apply mathematical concepts to real-world scenarios, an important skill in the GCSE Mathematics Foundation Tier.
Page 6: Complex Ratio Problem
The final page contains one complex ratio problem:
Question 9 asks students to calculate how much money Sayma gets when £360 is shared between four people using a combination of ratios and multipliers.
Example: In this question, students must first determine the total number of parts in the ratio, then calculate the value of one part before finding Sayma's share.
Highlight: This question combines multiple concepts, including ratios, fractions, and algebraic thinking, making it an excellent test of overall mathematical understanding for Year 9 Maths.
Page 1: Introduction and Instructions
The first page introduces the Year 9 foundation assessment calculator paper, providing essential information for students:
- The assessment is for Year 9 students at the foundation level.
- Students are allowed to use a calculator.
- The total mark for the paper is 25.
- Students should answer all questions in the spaces provided.
- Marks for each question are shown to guide time management.
Highlight: This is a calculator paper, allowing students to use calculators to assist with calculations.
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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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Year 9 Foundation Maths Test: Calculator Paper PDF with Answers
- revision help -
@xrevisiontipsandtricksx
This Year 9 foundation assessment calculator papercovers various mathematical concepts, including ratios, similar triangles, enlargement, proportionality, unit conversions, and problem-solving. The paper consists of 9 questions worth a total of 25 marks, designed to test students' understanding of key... Show more
Page 2: Questions on Ratios and Similar Triangles
This page contains two questions focusing on ratios and similar triangles:
Question 1 asks students to calculate a fraction from a given ratio. The ratio 6:9:10 is used to share an amount of money between three people.
Question 2 deals with similar triangles. Students must: a) Calculate the length of side EF in a similar triangle. b) Determine the length of side AB using the given information.
Example: In Question 2, students use the concept of similar triangles to find missing side lengths. For instance, if triangle ABC has a side of 4 cm and triangle DEF has a corresponding side of 20 cm, the scale factor between the triangles is 5.
Vocabulary: Similar triangles are triangles that have the same shape but may be different sizes, with corresponding angles equal and sides proportional.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 3: Enlargement, Angles, and Proportional Reasoning
This page includes three questions on various topics:
Question 3 tests understanding of enlargement on a coordinate grid. Students must: a) Identify the scale factor of enlargement between two triangles. b) Explain why the angles in an enlarged triangle remain the same, despite the scale factor.
Question 4 involves proportional reasoning with weights and costs. Students calculate the cost of 3.5 kg of apples given the price of 2.5 kg.
Definition: Enlargement is a transformation that changes the size of a shape without altering its angles.
Highlight: It's crucial to remember that in enlargements, only the side lengths change, not the angles.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 4: Proportionality and Unit Conversions
This page focuses on proportionality and unit conversions:
Question 5 asks students to identify which graph represents direct proportion among four different types of proportionality.
Question 6 involves using a graph to convert between ounces and grams. Students must: a) Convert 850 grams to ounces. b) Convert 80 ounces to grams.
Vocabulary: Direct proportion is a relationship between two quantities where one is a constant multiple of the other, represented by a straight line through the origin on a graph.
Example: In the conversion graph, students can see that 10 ounces is equivalent to approximately 300 grams.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 5: Problem-Solving with Ratios and Proportions
This page contains two multi-step problem-solving questions:
Question 7 requires students to calculate if Ms. Ahmed has enough money to buy 20 pens and 20 folders, given the prices for smaller quantities.
Question 8 involves a complex ratio problem where three people share sweets in the ratio 4:5:7, with additional information about the difference in quantities.
Highlight: These questions test students' ability to apply mathematical concepts to real-world scenarios, an important skill in the GCSE Mathematics Foundation Tier.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 6: Complex Ratio Problem
The final page contains one complex ratio problem:
Question 9 asks students to calculate how much money Sayma gets when £360 is shared between four people using a combination of ratios and multipliers.
Example: In this question, students must first determine the total number of parts in the ratio, then calculate the value of one part before finding Sayma's share.
Highlight: This question combines multiple concepts, including ratios, fractions, and algebraic thinking, making it an excellent test of overall mathematical understanding for Year 9 Maths.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 1: Introduction and Instructions
The first page introduces the Year 9 foundation assessment calculator paper, providing essential information for students:
- The assessment is for Year 9 students at the foundation level.
- Students are allowed to use a calculator.
- The total mark for the paper is 25.
- Students should answer all questions in the spaces provided.
- Marks for each question are shown to guide time management.
Highlight: This is a calculator paper, allowing students to use calculators to assist with calculations.
We thought you’d never ask...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
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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4.7/5
Google 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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user