2024_AQA-GCSE Mathematics –Higher Tier Paper 1
Non-Calculator
(Merged Question Paper and Marking Scheme)
Thursday 16 May 2024
Please write clearly in block capitals.
Centre number
Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
GCSE
MATHEMATICS
Higher Tier Paper 1 Non-Calculator
H
Thursday 16 May 2024 Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have: For Examiner’s Use
• mathematical instruments Pages Mark
• the Formulae Sheet (enclosed).
2–3
You must not use a calculator. 4–5
Instructions 6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil. 8–9
• Fill in the boxes at the top of this page. 10–11
• Answer all questions. 12–13
• You must answer the questions in the spaces provided. Do not write
14–15
outside the box around each page or on blank pages.
• If you need extra space for your answer(s), use the lined pages at the end 16–17
of this book. Write the question number against your answer(s). 18–19
• Do all rough work in this book. Cross through any work you do not want to 20–21
be marked.
22–23
Information 24
• The marks for questions are shown in brackets. TOTAL
• The maximum mark for this paper is 80.
• You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
*JUN2483001H01*
IB/M/Jun24/G4007/E10 8300/1H
,GCSE Mathematics Higher Tier Paper 1: Non-Calculator Summary
The GCSE Mathematics Higher Tier Paper 1: Non-Calculator, scheduled for May 2025, will
assess students' mathematical skills without the use of a calculator. The exam will focus on testing
the depth of understanding in a variety of mathematical topics, with an emphasis on problem-solving
and the ability to perform calculations and apply concepts manually. The key areas covered include:
1. Number:
Arithmetic: Operations with integers, fractions, decimals, and percentages. Students will need to handle
calculations involving fractions, ratios, and percentages, including finding percentage increases/decreases and
converting between fractions, decimals, and percentages.
Standard Form: Understanding and working with numbers in standard form (e.g., 1.23×1061.23 \times
10^61.23×106) and performing calculations such as multiplication and division in standard form.
Surds: Simplifying expressions with square roots, cube roots, and irrational numbers, and performing
calculations involving surds.
Powers and Roots: Working with squares, cubes, square roots, and cube roots, including applying laws of
indices for calculations.
2. Algebra:
Simplifying Expressions: Manipulating algebraic expressions by collecting like terms, expanding brackets, and
simplifying expressions.
Equations: Solving linear equations, simultaneous equations, and quadratic equations (by factorization and
applying the quadratic formula).
Inequalities: Solving and interpreting linear inequalities and representing solutions on number lines.
Sequences: Identifying and continuing arithmetic and geometric sequences and finding the nth term of
sequences.
Graphs: Understanding and interpreting linear graphs and using the equation of a straight line y=mx+cy = mx +
cy=mx+c to solve problems.
3. Geometry and Measures:
Angles: Calculating interior and exterior angles of polygons, using properties of angles in parallel lines, and
solving problems involving angle properties in various geometric shapes.
Trigonometry: Using sine, cosine, and tangent to solve right-angled triangle problems, including finding
missing sides or angles.
Area and Volume: Calculating the areas of various 2D shapes (triangles, circles, sectors) and volumes of 3D
shapes (cylinders, cones, spheres). This includes using the correct formulas for area and volume.
Pythagoras’ Theorem: Using Pythagoras' Theorem to find the length of sides in right-angled triangles.
Circles: Understanding the properties of circles, including calculating the circumference and area, and using
the formulae for the area and circumference of a circle.
4. Statistics and Probability:
Averages: Calculating mean, median, mode, and range from data sets and interpreting these measures in
context.
Probability: Understanding and calculating the probability of single and multiple events, using probability scale
(0 to 1), and solving problems involving probability.
Data Representation: Interpreting and constructing graphs such as bar charts, histograms, cumulative
frequency graphs, and box plots.
Scatter Diagrams: Drawing and interpreting scatter diagrams to identify trends and correlations between
variables.
5. Ratio and Proportion:
Ratios: Solving problems involving direct and inverse proportions, and simplifying and comparing ratios.
Proportional Reasoning: Using proportional reasoning to solve problems involving scale factors, recipes, and
maps.
, Rate of Change: Understanding and calculating rates of change, including speed, density, and currency
conversion problems.
6. Functional Mathematics:
Problem Solving: Applying mathematical methods to real-life contexts, including interpreting word problems
and applying appropriate mathematical techniques to solve them.
Estimation: Estimating calculations and solutions in context, particularly when exact numbers are difficult or
unnecessary.
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 2
÷
1
Work out 12 × 36
3
[3 marks]
Answer
2 Measure the shortest distance from point P to the line.
Give your answer in millimetres.
[1 mark]
Answer mm
*02*
IB/M/Jun24/8300/1H
Non-Calculator
(Merged Question Paper and Marking Scheme)
Thursday 16 May 2024
Please write clearly in block capitals.
Centre number
Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
GCSE
MATHEMATICS
Higher Tier Paper 1 Non-Calculator
H
Thursday 16 May 2024 Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have: For Examiner’s Use
• mathematical instruments Pages Mark
• the Formulae Sheet (enclosed).
2–3
You must not use a calculator. 4–5
Instructions 6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil. 8–9
• Fill in the boxes at the top of this page. 10–11
• Answer all questions. 12–13
• You must answer the questions in the spaces provided. Do not write
14–15
outside the box around each page or on blank pages.
• If you need extra space for your answer(s), use the lined pages at the end 16–17
of this book. Write the question number against your answer(s). 18–19
• Do all rough work in this book. Cross through any work you do not want to 20–21
be marked.
22–23
Information 24
• The marks for questions are shown in brackets. TOTAL
• The maximum mark for this paper is 80.
• You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
*JUN2483001H01*
IB/M/Jun24/G4007/E10 8300/1H
,GCSE Mathematics Higher Tier Paper 1: Non-Calculator Summary
The GCSE Mathematics Higher Tier Paper 1: Non-Calculator, scheduled for May 2025, will
assess students' mathematical skills without the use of a calculator. The exam will focus on testing
the depth of understanding in a variety of mathematical topics, with an emphasis on problem-solving
and the ability to perform calculations and apply concepts manually. The key areas covered include:
1. Number:
Arithmetic: Operations with integers, fractions, decimals, and percentages. Students will need to handle
calculations involving fractions, ratios, and percentages, including finding percentage increases/decreases and
converting between fractions, decimals, and percentages.
Standard Form: Understanding and working with numbers in standard form (e.g., 1.23×1061.23 \times
10^61.23×106) and performing calculations such as multiplication and division in standard form.
Surds: Simplifying expressions with square roots, cube roots, and irrational numbers, and performing
calculations involving surds.
Powers and Roots: Working with squares, cubes, square roots, and cube roots, including applying laws of
indices for calculations.
2. Algebra:
Simplifying Expressions: Manipulating algebraic expressions by collecting like terms, expanding brackets, and
simplifying expressions.
Equations: Solving linear equations, simultaneous equations, and quadratic equations (by factorization and
applying the quadratic formula).
Inequalities: Solving and interpreting linear inequalities and representing solutions on number lines.
Sequences: Identifying and continuing arithmetic and geometric sequences and finding the nth term of
sequences.
Graphs: Understanding and interpreting linear graphs and using the equation of a straight line y=mx+cy = mx +
cy=mx+c to solve problems.
3. Geometry and Measures:
Angles: Calculating interior and exterior angles of polygons, using properties of angles in parallel lines, and
solving problems involving angle properties in various geometric shapes.
Trigonometry: Using sine, cosine, and tangent to solve right-angled triangle problems, including finding
missing sides or angles.
Area and Volume: Calculating the areas of various 2D shapes (triangles, circles, sectors) and volumes of 3D
shapes (cylinders, cones, spheres). This includes using the correct formulas for area and volume.
Pythagoras’ Theorem: Using Pythagoras' Theorem to find the length of sides in right-angled triangles.
Circles: Understanding the properties of circles, including calculating the circumference and area, and using
the formulae for the area and circumference of a circle.
4. Statistics and Probability:
Averages: Calculating mean, median, mode, and range from data sets and interpreting these measures in
context.
Probability: Understanding and calculating the probability of single and multiple events, using probability scale
(0 to 1), and solving problems involving probability.
Data Representation: Interpreting and constructing graphs such as bar charts, histograms, cumulative
frequency graphs, and box plots.
Scatter Diagrams: Drawing and interpreting scatter diagrams to identify trends and correlations between
variables.
5. Ratio and Proportion:
Ratios: Solving problems involving direct and inverse proportions, and simplifying and comparing ratios.
Proportional Reasoning: Using proportional reasoning to solve problems involving scale factors, recipes, and
maps.
, Rate of Change: Understanding and calculating rates of change, including speed, density, and currency
conversion problems.
6. Functional Mathematics:
Problem Solving: Applying mathematical methods to real-life contexts, including interpreting word problems
and applying appropriate mathematical techniques to solve them.
Estimation: Estimating calculations and solutions in context, particularly when exact numbers are difficult or
unnecessary.
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 2
÷
1
Work out 12 × 36
3
[3 marks]
Answer
2 Measure the shortest distance from point P to the line.
Give your answer in millimetres.
[1 mark]
Answer mm
*02*
IB/M/Jun24/8300/1H
