Subjects

Maths

Number

Converting between fractions, decimals and percentages

CCEA GCSE Maths M2 Past Paper Summer 2022 with Answers

Name: Knowunity
Brand: Knowunity

View

CCEA GCSE Maths M2 Past Paper Summer 2022 with Answers

michael

@bigbob22

15 Followers

This CCEA GCSE Maths past paper for Unit M2 Foundation Tier covers a range of mathematical topics and problem-solving skills. The exam is 1 hour 45 minutes long and worth 100 marks total. It tests students' abilities in areas like calculations, geometry, statistics, and applied mathematics problems.

Key features:

Calculator allowed
Formula sheet provided
27 questions total
Mix of short and longer problem-solving questions
Functional mathematics assessed
Clear instructions and marking scheme

The paper aims to assess students' mathematical knowledge and skills at the GCSE Foundation level. Questions progress from basic calculations to more complex multi-step problems requiring analysis and explanation.

11/10/2022

1880

Page 6: Question 4 - Angle Measurement and Safety

This question presents a diagram of a ladder leaning against a wall and asks students to determine if the ladder is safe based on the angle at its base. Students must:

Measure the angle at the base of the ladder
Compare it to the safe range of 72° to 78°
Explain their answer

Vocabulary: The base angle of a ladder is the angle formed between the ladder and the ground.

Highlight: This question combines practical knowledge with geometry skills.

cea
Rewarding Learning
General Certificate of Secondary Education
2022
Mathematics
Unit M2
(With calculator)
Foundation Tier
[GMC21]
TUESDAY

Page 7: Question 5 - Billing and Discounts

This question has two parts related to a plumber's charges:

a) Determine which calculation for a 4-hour job is correct:

Tom's method: 25 + 15 × 4 = £160
Jane's method: (25 + 15) × 4 = £85 Students must explain the correct answer.

b) Calculate the savings on a £12.50 tap with a 10% discount

Example: When calculating discounts, multiply the original price by the discount percentage to find the amount saved.

View

Page 8: Question 6 - Statistics

This question tests statistical concepts using the weights of a rowing crew:

a) Calculate the mean weight of the crew members b) Find the range of the weights c) Evaluate the manager's statement about not being able to find the median with 6 crew members

Definition: The range is the difference between the highest and lowest values in a dataset.

Highlight: This question assesses understanding of mean, median, and range in a practical context.

View

Page 9: Question 7 - Fractions and Percentages

This question involves calculating fractions and percentages of animal species at Belfast Zoo:

Total species: 120
1/4 are birds
40% are mammals
Students must determine the fraction of species that are neither birds nor mammals

Vocabulary: A species refers to a group of living organisms that can interbreed and produce fertile offspring.

View

Page 10: Question 8 - Angle Calculation

This question presents a diagram with an unknown angle y and a given angle of 108°. Students must calculate the size of angle y.

Highlight: This question tests understanding of angle relationships in geometric figures.

View

Page 11: Question 9 - Incomplete

This page contains the beginning of Question 9, but the full question is not visible in the provided transcript.

View

Page 1: Introduction and Instructions

This page introduces the CCEA GCSE Mathematics Unit M2 Foundation Tier exam paper for Summer 2022. Key details include:

Exam date: Tuesday 24 May 2022
Time: 9:15am - 11:00am (1 hour 45 minutes)
Calculator allowed
Answer all 27 questions
Total marks: 100
Additional support materials provided

The instructions emphasize using black ink, showing all working clearly, and answering within the provided spaces. Students are reminded that functional mathematics is assessed in this unit.

Highlight: This paper allows the use of calculators, which is important for students to note when preparing.

View

Page 2: Formula Sheet

This page contains the formula sheet provided to students for reference during the exam. It includes formulas for:

Area of a trapezium: 1/2(a + b)h
Volume of a prism: area of cross section × length

Definition: A trapezium is a quadrilateral with at least one pair of parallel sides.

Example: The volume of a triangular prism can be calculated by multiplying the area of the triangular cross-section by the length of the prism.

View

Page 3: Question 1 - Temperature Conversions

This question tests students' understanding of temperature scales and conversions. It consists of two parts:

a) Calculate the difference between the warmest (34°C in Ethiopia) and coldest (-58°C in Antarctica) average temperatures in the world.

b) Use the given formula (F = 1.8C + 32) to: i) Convert 8°C (average temperature in Northern Ireland) to Fahrenheit ii) Convert 32°F (freezing point of water) to Celsius

Vocabulary: Celsius and Fahrenheit are two different temperature scales used to measure temperature.

Highlight: This question assesses both basic arithmetic and the ability to use and rearrange formulas.

View

Page 4: Question 2 - Volume and Capacity

This question focuses on volume calculations and unit conversions. Students are presented with a cuboid-shaped gravy tin and asked to:

a) Calculate the volume of the tin in cubic centimeters (cm³) b) Determine how many 120ml tubs can be filled with the gravy from the tin

Definition: A cuboid is a three-dimensional shape with six rectangular faces.

Example: The volume of a cuboid is calculated by multiplying length × width × height.

View

Page 5: Question 3 - Financial and Percentage Calculations

This question covers various practical math applications:

a) Rounding Priya's hourly wage (£11.158) to the nearest penny b) Converting diesel cost from pence to pounds (131.9p) c) Calculating a fraction (5/8) of Priya's total miles driven d) Determining the amount Priya's firm pays for her car service (70% of £260)

Highlight: This question tests students' ability to handle decimals, percentages, and fractions in real-world contexts.

View

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Number

Converting between fractions, decimals and percentages

CCEA GCSE Maths M2 Past Paper Summer 2022 with Answers

michael

@bigbob22

15 Followers

Key features:

Calculator allowed
Formula sheet provided
27 questions total
Mix of short and longer problem-solving questions
Functional mathematics assessed
Clear instructions and marking scheme

11/10/2022

1880

Page 6: Question 4 - Angle Measurement and Safety

This question presents a diagram of a ladder leaning against a wall and asks students to determine if the ladder is safe based on the angle at its base. Students must:

Measure the angle at the base of the ladder
Compare it to the safe range of 72° to 78°
Explain their answer

Vocabulary: The base angle of a ladder is the angle formed between the ladder and the ground.

Highlight: This question combines practical knowledge with geometry skills.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 7: Question 5 - Billing and Discounts

This question has two parts related to a plumber's charges:

a) Determine which calculation for a 4-hour job is correct:

Tom's method: 25 + 15 × 4 = £160
Jane's method: (25 + 15) × 4 = £85 Students must explain the correct answer.

b) Calculate the savings on a £12.50 tap with a 10% discount

Example: When calculating discounts, multiply the original price by the discount percentage to find the amount saved.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 8: Question 6 - Statistics

This question tests statistical concepts using the weights of a rowing crew:

a) Calculate the mean weight of the crew members b) Find the range of the weights c) Evaluate the manager's statement about not being able to find the median with 6 crew members

Definition: The range is the difference between the highest and lowest values in a dataset.

Highlight: This question assesses understanding of mean, median, and range in a practical context.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 9: Question 7 - Fractions and Percentages

This question involves calculating fractions and percentages of animal species at Belfast Zoo:

Total species: 120
1/4 are birds
40% are mammals
Students must determine the fraction of species that are neither birds nor mammals

Vocabulary: A species refers to a group of living organisms that can interbreed and produce fertile offspring.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 10: Question 8 - Angle Calculation

This question presents a diagram with an unknown angle y and a given angle of 108°. Students must calculate the size of angle y.

Highlight: This question tests understanding of angle relationships in geometric figures.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 11: Question 9 - Incomplete

This page contains the beginning of Question 9, but the full question is not visible in the provided transcript.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 1: Introduction and Instructions

This page introduces the CCEA GCSE Mathematics Unit M2 Foundation Tier exam paper for Summer 2022. Key details include:

Exam date: Tuesday 24 May 2022
Time: 9:15am - 11:00am (1 hour 45 minutes)
Calculator allowed
Answer all 27 questions
Total marks: 100
Additional support materials provided

The instructions emphasize using black ink, showing all working clearly, and answering within the provided spaces. Students are reminded that functional mathematics is assessed in this unit.

Highlight: This paper allows the use of calculators, which is important for students to note when preparing.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 2: Formula Sheet

This page contains the formula sheet provided to students for reference during the exam. It includes formulas for:

Area of a trapezium: 1/2(a + b)h
Volume of a prism: area of cross section × length

Definition: A trapezium is a quadrilateral with at least one pair of parallel sides.

Example: The volume of a triangular prism can be calculated by multiplying the area of the triangular cross-section by the length of the prism.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 3: Question 1 - Temperature Conversions

This question tests students' understanding of temperature scales and conversions. It consists of two parts:

a) Calculate the difference between the warmest (34°C in Ethiopia) and coldest (-58°C in Antarctica) average temperatures in the world.

b) Use the given formula (F = 1.8C + 32) to: i) Convert 8°C (average temperature in Northern Ireland) to Fahrenheit ii) Convert 32°F (freezing point of water) to Celsius

Vocabulary: Celsius and Fahrenheit are two different temperature scales used to measure temperature.

Highlight: This question assesses both basic arithmetic and the ability to use and rearrange formulas.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 4: Question 2 - Volume and Capacity

This question focuses on volume calculations and unit conversions. Students are presented with a cuboid-shaped gravy tin and asked to:

a) Calculate the volume of the tin in cubic centimeters (cm³) b) Determine how many 120ml tubs can be filled with the gravy from the tin

Definition: A cuboid is a three-dimensional shape with six rectangular faces.

Example: The volume of a cuboid is calculated by multiplying length × width × height.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Page 5: Question 3 - Financial and Percentage Calculations

This question covers various practical math applications:

Highlight: This question tests students' ability to handle decimals, percentages, and fractions in real-world contexts.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user