Subjects

Maths

Geometry and measure

2-dimensional shapes

GCSE Maths Higher Tier Calculator Paper Practice PDF with Answers + Free Past Papers

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GCSE Maths Higher Tier Calculator Paper Practice PDF with Answers + Free Past Papers

yuma

@blueyberrymuffin

173 Followers

This GCSE Maths Higher Tier Calculator Paper practice PDF contains 20 pages of sample assessment materials for the Pearson Edexcel Level 1/Level 2 GCSE (9-1) Mathematics exam. Key features include:

80 total marks
1 hour 30 minutes time allowed
Calculator permitted
Questions cover topics like ratios, trigonometry, sequences, speed calculations, statistics, and graphing functions
Requires showing all working out
Includes mark allocations for each question

The paper tests students' ability to:

Apply mathematical reasoning to solve multi-step problems
Interpret information presented in various formats (tables, graphs, diagrams)
Use a calculator effectively for complex calculations
Demonstrate understanding of key mathematical concepts at the Higher tier level

26/10/2022

8309

Page 3: Question 3

This page focuses on arithmetic sequences, a common topic in GCSE Maths past papers PDF with answers:

Question 3 (4 marks) is divided into two parts:

(a) Students must derive an expression for the nth term of an arithmetic sequence given its first four terms.

(b) Students need to determine if a specific number (108) is a term in a different arithmetic sequence with the given nth term formula.

Definition: An arithmetic sequence is a sequence where the difference between consecutive terms is constant.

Example: For part (a), given the sequence 6, 10, 14, 18, students should recognize the common difference of 4 and formulate the nth term as 4n + 2.

This question tests students' understanding of sequence patterns and their ability to work with algebraic expressions.

Write your name here
Surname
UNIDA
Pearson Edexcel
Level 1/Level 2 GCSE (9-1)
S48574A
Centre Number
Mathematics
Paper 2 (Calculator)
Sample

Page 6: Question 6

This page features a geometry problem commonly found in Edexcel GCSE Maths past papers:

Question 6 (4 marks) presents a compound shape consisting of two right-angled triangles. Students must:

Use the Pythagorean theorem to find the length of an unknown side (BD).
Apply the Pythagorean theorem again to calculate the length of side x.
Round the final answer to 2 decimal places.

Highlight: This question assesses students' ability to break down a complex problem into steps and apply geometric principles multiple times.

Example: The solution involves first calculating BD² = 10² - 5² = 75, then using this to find x² = 75 + 4² = 91, and finally calculating x ≈ 9.54 cm.

This problem demonstrates the importance of spatial reasoning and precise calculation in geometry questions.

View

Page 2: Questions 1-2

This page contains the first two questions of the GCSE Maths Higher Tier Calculator Paper practice:

Question 1 (3 marks) tests ratio and proportion skills. Students must calculate the total number of sweets shared between three people in a given ratio, using the information that one person received 18 more sweets than another.

Question 2 (2 marks) involves trigonometry in a right-angled triangle. Students need to calculate an angle using the sine ratio and round their answer to one decimal place.

Example: In Question 1, if Seth got 18 more sweets than Frank in a 4:5:7 ratio, the solution involves finding the value of one part (18 ÷ 3 = 6) and then calculating the total (16 × 6 = 96 sweets).

Highlight: These questions demonstrate the importance of step-by-step problem-solving and the ability to apply mathematical concepts to real-world scenarios.

View

Page 1: Exam Instructions and Information

This page provides key details about the GCSE Maths Higher Tier Calculator Paper practice:

The exam is a Pearson Edexcel Level 1/Level 2 GCSE (9-1) Mathematics Paper 2 (Calculator) for the Higher Tier. Students have 1 hour 30 minutes to complete the 80-mark assessment. Required materials include a calculator, ruler, protractor, compasses, pen, pencil and eraser.

Highlight: Students must show all working out, even when using a calculator.

The instructions emphasize reading questions carefully, managing time effectively, and attempting all questions. Diagrams are not drawn to scale unless specified. The paper reference is 1MA1/2H.

Vocabulary: Tier - In the context of GCSE exams, this refers to the level of difficulty, with Higher Tier being more challenging than Foundation Tier.

View

Page 5: Question 5

This page covers statistical analysis, a key component of the GCSE Maths Higher Tier Calculator Paper practice:

Question 5 (4 marks) presents a frequency table of foot lengths for 40 adults and asks students to:

(a) Identify the modal class interval. (b) Calculate an estimate for the mean foot length.

Vocabulary:

Modal class interval: The interval with the highest frequency in a grouped data set.

Mean: The average value, calculated by summing all values and dividing by the number of values.

Example: To estimate the mean, students should use the midpoint of each class interval, multiply by the frequency, sum these products, and divide by the total frequency.

This question tests students' ability to interpret grouped data and apply statistical measures.

View

Page 4: Question 4

This page presents a real-world application problem, typical of those found in GCSE Maths Practice Tests Set 1 Paper 1H answers:

Question 4 (3 marks) involves a speed, distance, and time calculation in the context of motorway driving. Students must:

Interpret information from a road sign showing distance and average time to a junction.
Calculate the speed needed to cover the distance in the given time.
Compare this speed to the motorway speed limit to evaluate a statement's accuracy.

Highlight: This question assesses students' ability to convert between units (mph to miles per minute) and apply mathematical reasoning to a practical scenario.

Example: To solve this, students should calculate the speed required (30 miles ÷ 26/60 hours ≈ 69.2 mph) and compare it to the 70 mph limit.

View

Page 7: Question 7

This page focuses on graph interpretation, a crucial skill tested in GCSE Maths Higher Tier Calculator Paper practice free resources:

Question 7 (3 marks) presents a graph of y = f(x) and asks students to:

(a) State the coordinates of the turning point. (b) Identify the roots of f(x) = 2. (c) Determine the value of f(0.5).

Vocabulary:

Turning point: The point where a function changes from increasing to decreasing or vice versa.

Roots: The x-values where a function intersects the x-axis or equals a specific y-value.

Highlight: This question tests students' ability to extract information from a graphical representation of a function without being given its equation.

This type of question assesses visual interpretation skills and understanding of function behavior, which are essential for higher-level mathematics.

View

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Lena, iOS user

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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

Geometry and measure

2-dimensional shapes

GCSE Maths Higher Tier Calculator Paper Practice PDF with Answers + Free Past Papers

yuma

@blueyberrymuffin

173 Followers

80 total marks
1 hour 30 minutes time allowed
Calculator permitted
Questions cover topics like ratios, trigonometry, sequences, speed calculations, statistics, and graphing functions
Requires showing all working out
Includes mark allocations for each question

The paper tests students' ability to:

Apply mathematical reasoning to solve multi-step problems
Interpret information presented in various formats (tables, graphs, diagrams)
Use a calculator effectively for complex calculations
Demonstrate understanding of key mathematical concepts at the Higher tier level

26/10/2022

8309

11/9

Maths

269

Page 3: Question 3

This page focuses on arithmetic sequences, a common topic in GCSE Maths past papers PDF with answers:

Question 3 (4 marks) is divided into two parts:

(a) Students must derive an expression for the nth term of an arithmetic sequence given its first four terms.

(b) Students need to determine if a specific number (108) is a term in a different arithmetic sequence with the given nth term formula.

Definition: An arithmetic sequence is a sequence where the difference between consecutive terms is constant.

Example: For part (a), given the sequence 6, 10, 14, 18, students should recognize the common difference of 4 and formulate the nth term as 4n + 2.

This question tests students' understanding of sequence patterns and their ability to work with algebraic expressions.

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

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Join milions of students

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By signing up you accept Terms of Service and Privacy Policy

Page 6: Question 6

This page features a geometry problem commonly found in Edexcel GCSE Maths past papers:

Question 6 (4 marks) presents a compound shape consisting of two right-angled triangles. Students must:

Use the Pythagorean theorem to find the length of an unknown side (BD).
Apply the Pythagorean theorem again to calculate the length of side x.
Round the final answer to 2 decimal places.

Highlight: This question assesses students' ability to break down a complex problem into steps and apply geometric principles multiple times.

Example: The solution involves first calculating BD² = 10² - 5² = 75, then using this to find x² = 75 + 4² = 91, and finally calculating x ≈ 9.54 cm.

This problem demonstrates the importance of spatial reasoning and precise calculation in geometry questions.

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: Questions 1-2

This page contains the first two questions of the GCSE Maths Higher Tier Calculator Paper practice:

Question 2 (2 marks) involves trigonometry in a right-angled triangle. Students need to calculate an angle using the sine ratio and round their answer to one decimal place.

Example: In Question 1, if Seth got 18 more sweets than Frank in a 4:5:7 ratio, the solution involves finding the value of one part (18 ÷ 3 = 6) and then calculating the total (16 × 6 = 96 sweets).

Highlight: These questions demonstrate the importance of step-by-step problem-solving and the ability to apply mathematical concepts to real-world scenarios.

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: Exam Instructions and Information

This page provides key details about the GCSE Maths Higher Tier Calculator Paper practice:

Highlight: Students must show all working out, even when using a calculator.

The instructions emphasize reading questions carefully, managing time effectively, and attempting all questions. Diagrams are not drawn to scale unless specified. The paper reference is 1MA1/2H.

Vocabulary: Tier - In the context of GCSE exams, this refers to the level of difficulty, with Higher Tier being more challenging than Foundation Tier.

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 5

This page covers statistical analysis, a key component of the GCSE Maths Higher Tier Calculator Paper practice:

Question 5 (4 marks) presents a frequency table of foot lengths for 40 adults and asks students to:

(a) Identify the modal class interval. (b) Calculate an estimate for the mean foot length.

Vocabulary:

Modal class interval: The interval with the highest frequency in a grouped data set.

Mean: The average value, calculated by summing all values and dividing by the number of values.

Example: To estimate the mean, students should use the midpoint of each class interval, multiply by the frequency, sum these products, and divide by the total frequency.

This question tests students' ability to interpret grouped data and apply statistical measures.

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 4

This page presents a real-world application problem, typical of those found in GCSE Maths Practice Tests Set 1 Paper 1H answers:

Question 4 (3 marks) involves a speed, distance, and time calculation in the context of motorway driving. Students must:

Interpret information from a road sign showing distance and average time to a junction.
Calculate the speed needed to cover the distance in the given time.
Compare this speed to the motorway speed limit to evaluate a statement's accuracy.

Highlight: This question assesses students' ability to convert between units (mph to miles per minute) and apply mathematical reasoning to a practical scenario.

Example: To solve this, students should calculate the speed required (30 miles ÷ 26/60 hours ≈ 69.2 mph) and compare it to the 70 mph limit.

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 7

This page focuses on graph interpretation, a crucial skill tested in GCSE Maths Higher Tier Calculator Paper practice free resources:

Question 7 (3 marks) presents a graph of y = f(x) and asks students to:

(a) State the coordinates of the turning point. (b) Identify the roots of f(x) = 2. (c) Determine the value of f(0.5).

Vocabulary:

Turning point: The point where a function changes from increasing to decreasing or vice versa.

Roots: The x-values where a function intersects the x-axis or equals a specific y-value.

Highlight: This question tests students' ability to extract information from a graphical representation of a function without being given its equation.