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Maths Paper 1: Non-Calculator Past Paper
B
Bin™
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1 / 10
Exam Instructions and Setup
Exam basics: You've got 90 minutes to tackle this Foundation Tier paper without a calculator. The paper's worth 80 marks total, so you can roughly spend about a minute per mark.
Essential kit: Bring a ruler, protractor, compass, pens, HB pencil, and eraser. You'll get a formula sheet too, which is brilliant for remembering those tricky formulas under pressure.
Top strategy: The marks for each question are shown in brackets - use this as your time guide. A 1-mark question shouldn't take as long as a 4-mark one!
Remember: All diagrams aren't drawn to scale unless stated otherwise, so don't rely on measuring with your eye.
Basic Number Skills (Questions 1-4)
Starting simple: These opening questions test fundamental skills like converting decimals to fractions (0.3 = 3/10), calculating powers (3² = 9), and using order of operations for 20 ÷ (3+2).
Factor knowledge: You'll need to identify factors of numbers. For 60, you're looking for a number between 8 and 14 that divides evenly into 60 (like 10 or 12).
These questions are worth 1 mark each, so they should be quick wins. Don't overthink them - trust your basic maths knowledge and move on confidently.
Pro tip: Always show your working, even for simple calculations. It could save you marks if you make a small error.
Algebra and Real-World Problems (Questions 5-6)
Algebraic simplification: When you see 3 × w × 5 × t, multiply the numbers together and arrange the letters alphabetically: 15wt. It's that straightforward!
Multi-step word problems: Fay's theme park question tests your ability to handle real-world calculations. Break it down step by step: petrol (£23), adult ticket (£33), children's tickets (2 × £24.50), adult meal (£15), children's meals (2 × £10).
Add everything up, then subtract from her £200 budget. These problems look scary but they're just addition and subtraction dressed up in a story.
Money matters: Always double-check your arithmetic in money questions - they're easy marks to lose through simple calculation errors.
Probability and Basic Algebra (Questions 7-8)
Mode and probability: The mode is simply the most frequent value in your data set. For probability, count how many times each outcome appears and divide by the total number of items.
Solving equations: For m - 3 = 4, just add 3 to both sides to get m = 7. For 3n + n = 24, combine like terms first , then divide both sides by 4.
Probability scales: When marking probability on a scale from 0 to 1, think about fractions. If 2 out of 8 letters are B, that's 2/8 = 1/4 = 0.25 on your scale.
Equation solving: Whatever you do to one side of an equation, you must do to the other side too.
Angle Properties (Question 9)
Angle relationships: This question tests your knowledge of angle properties in geometric shapes. You'll need to identify what type of angle relationship you're dealing with.
Look for clues like parallel lines, triangles, or straight lines. The 70° angle given is your starting point - use angle rules to find the value of y.
Common angle rules include: angles on a straight line add to 180°, angles in a triangle add to 180°, and alternate angles are equal when you have parallel lines.
Show your reasoning: Don't just give the answer - explain which angle rule you've used to get full marks.
Division and Logical Reasoning (Question 10)
Division with remainders: To find how many £4 jars Michael can buy with £23, divide 23 by 4. You get 5 remainder 3, so he can buy 5 jars (not 5.75 jars!).
Half-price logic: When jars cost £2 each (half of £4), work out how many he can actually buy: 23 ÷ 2 = 11.5, so 11 jars maximum.
Testing assumptions: Michael thinks he can buy twice as many (10 jars), but he can actually buy 11. His assumption is wrong, and you need to explain why with calculations.
Real-world maths: Remember you can't buy half a jar - always round down for "how many can you buy" questions.
Transformations (Question 11)
Enlargements: Compare corresponding sides to find the scale factor. If triangle B's sides are twice as long as triangle A's, the scale factor is 2.
Centre of enlargement: Draw lines from corresponding points on both triangles - where they meet is your centre. It's like finding where all the "zoom lines" come together.
Reflections: The mirror line sits exactly halfway between corresponding points on the original and reflected shapes. For the equation, look at whether it's horizontal or vertical .
Use tracing paper: If you're struggling to spot transformations, trace one shape and see how it moves to become the other.
Percentages and Time Calculations (Question 12)
Multiple time calculations: Elena's 120 minutes get split several ways. Swimming takes 1/6 × 120 = 20 minutes. The gym takes 20% × 120 = 24 minutes.
Working backwards: Badminton (50) + swimming (20) + gym (24) = 94 minutes used. So cafe time = 120 - 94 = 26 minutes.
Time logic: If she arrived at 1.30pm and needed 94 minutes for activities, she reached the cafe at 1.30pm + 94 minutes = 3.04pm. She's 4 minutes late for her 3pm meeting!
Convert carefully: Make sure all your time units match - don't mix minutes and hours without converting properly.
Data Interpretation (Question 13)
Reading bar charts: Composite bar charts stack different categories on top of each other. Read the values carefully by looking at where each section starts and ends.
Finding differences: To find just the children in 2010, subtract the bottom of the children section from the top. Don't include the men and women sections below.
Ratios: For 2020 data, count children separately, then add men and women together. Express as a simplified ratio like 2:3 or 5:7.
Take your time: Bar charts can be tricky to read accurately. Use a ruler to line up with the scale if needed.
Distance, Speed and Scale (Question 14)
Distance formula: Use Distance = Speed × Time. Jenny drives at 54 mph for 1½ hours, so distance = 54 × 1.5 = 81 miles.
Map scales: A 1:25000 scale means 1 cm on the map equals 25,000 cm in real life. So 6 cm represents 6 × 25,000 = 150,000 cm.
Unit conversion: Convert 150,000 cm to kilometres by dividing by 100 (to get metres): 1,500 m, then dividing by 1,000 (to get km): 1.5 km.
Scale calculations: Always convert to the units asked for in the question - don't leave your answer in centimetres when they want kilometres!
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Maths Paper 1: Non-Calculator Past Paper
B
Bin™
@user_mqji6k9dpc
This is a Pearson Edexcel GCSE Mathematics Foundation Tier exam paper that covers essential mathematical skills you'll need to master. It's a non-calculator paper worth 80 marks total, testing everything from basic fractions to geometry and data handling.
Exam Instructions and Setup
Exam basics: You've got 90 minutes to tackle this Foundation Tier paper without a calculator. The paper's worth 80 marks total, so you can roughly spend about a minute per mark.
Essential kit: Bring a ruler, protractor, compass, pens, HB pencil, and eraser. You'll get a formula sheet too, which is brilliant for remembering those tricky formulas under pressure.
Top strategy: The marks for each question are shown in brackets - use this as your time guide. A 1-mark question shouldn't take as long as a 4-mark one!
Remember: All diagrams aren't drawn to scale unless stated otherwise, so don't rely on measuring with your eye.
Sign up to see the contentIt's free!
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By signing up you accept Terms of Service and Privacy Policy
Basic Number Skills (Questions 1-4)
Starting simple: These opening questions test fundamental skills like converting decimals to fractions (0.3 = 3/10), calculating powers (3² = 9), and using order of operations for 20 ÷ (3+2).
Factor knowledge: You'll need to identify factors of numbers. For 60, you're looking for a number between 8 and 14 that divides evenly into 60 (like 10 or 12).
These questions are worth 1 mark each, so they should be quick wins. Don't overthink them - trust your basic maths knowledge and move on confidently.
Pro tip: Always show your working, even for simple calculations. It could save you marks if you make a small error.
Sign up to see the contentIt's free!
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By signing up you accept Terms of Service and Privacy Policy
Algebra and Real-World Problems (Questions 5-6)
Algebraic simplification: When you see 3 × w × 5 × t, multiply the numbers together and arrange the letters alphabetically: 15wt. It's that straightforward!
Multi-step word problems: Fay's theme park question tests your ability to handle real-world calculations. Break it down step by step: petrol (£23), adult ticket (£33), children's tickets (2 × £24.50), adult meal (£15), children's meals (2 × £10).
Add everything up, then subtract from her £200 budget. These problems look scary but they're just addition and subtraction dressed up in a story.
Money matters: Always double-check your arithmetic in money questions - they're easy marks to lose through simple calculation errors.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Probability and Basic Algebra (Questions 7-8)
Mode and probability: The mode is simply the most frequent value in your data set. For probability, count how many times each outcome appears and divide by the total number of items.
Solving equations: For m - 3 = 4, just add 3 to both sides to get m = 7. For 3n + n = 24, combine like terms first , then divide both sides by 4.
Probability scales: When marking probability on a scale from 0 to 1, think about fractions. If 2 out of 8 letters are B, that's 2/8 = 1/4 = 0.25 on your scale.
Equation solving: Whatever you do to one side of an equation, you must do to the other side too.
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Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Angle Properties (Question 9)
Angle relationships: This question tests your knowledge of angle properties in geometric shapes. You'll need to identify what type of angle relationship you're dealing with.
Look for clues like parallel lines, triangles, or straight lines. The 70° angle given is your starting point - use angle rules to find the value of y.
Common angle rules include: angles on a straight line add to 180°, angles in a triangle add to 180°, and alternate angles are equal when you have parallel lines.
Show your reasoning: Don't just give the answer - explain which angle rule you've used to get full marks.
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By signing up you accept Terms of Service and Privacy Policy
Division and Logical Reasoning (Question 10)
Division with remainders: To find how many £4 jars Michael can buy with £23, divide 23 by 4. You get 5 remainder 3, so he can buy 5 jars (not 5.75 jars!).
Half-price logic: When jars cost £2 each (half of £4), work out how many he can actually buy: 23 ÷ 2 = 11.5, so 11 jars maximum.
Testing assumptions: Michael thinks he can buy twice as many (10 jars), but he can actually buy 11. His assumption is wrong, and you need to explain why with calculations.
Real-world maths: Remember you can't buy half a jar - always round down for "how many can you buy" questions.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Transformations (Question 11)
Enlargements: Compare corresponding sides to find the scale factor. If triangle B's sides are twice as long as triangle A's, the scale factor is 2.
Centre of enlargement: Draw lines from corresponding points on both triangles - where they meet is your centre. It's like finding where all the "zoom lines" come together.
Reflections: The mirror line sits exactly halfway between corresponding points on the original and reflected shapes. For the equation, look at whether it's horizontal or vertical .
Use tracing paper: If you're struggling to spot transformations, trace one shape and see how it moves to become the other.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Percentages and Time Calculations (Question 12)
Multiple time calculations: Elena's 120 minutes get split several ways. Swimming takes 1/6 × 120 = 20 minutes. The gym takes 20% × 120 = 24 minutes.
Working backwards: Badminton (50) + swimming (20) + gym (24) = 94 minutes used. So cafe time = 120 - 94 = 26 minutes.
Time logic: If she arrived at 1.30pm and needed 94 minutes for activities, she reached the cafe at 1.30pm + 94 minutes = 3.04pm. She's 4 minutes late for her 3pm meeting!
Convert carefully: Make sure all your time units match - don't mix minutes and hours without converting properly.
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Data Interpretation (Question 13)
Reading bar charts: Composite bar charts stack different categories on top of each other. Read the values carefully by looking at where each section starts and ends.
Finding differences: To find just the children in 2010, subtract the bottom of the children section from the top. Don't include the men and women sections below.
Ratios: For 2020 data, count children separately, then add men and women together. Express as a simplified ratio like 2:3 or 5:7.
Take your time: Bar charts can be tricky to read accurately. Use a ruler to line up with the scale if needed.
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Improve your grades
Join milions of students
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Distance, Speed and Scale (Question 14)
Distance formula: Use Distance = Speed × Time. Jenny drives at 54 mph for 1½ hours, so distance = 54 × 1.5 = 81 miles.
Map scales: A 1:25000 scale means 1 cm on the map equals 25,000 cm in real life. So 6 cm represents 6 × 25,000 = 150,000 cm.
Unit conversion: Convert 150,000 cm to kilometres by dividing by 100 (to get metres): 1,500 m, then dividing by 1,000 (to get km): 1.5 km.
Scale calculations: Always convert to the units asked for in the question - don't leave your answer in centimetres when they want kilometres!
We thought you’d never ask...
What is the Knowunity AI companion?
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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
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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 THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
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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
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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 THE SCHOOLGPT. 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