GCSE
MATHEMATICS
Foundation Tier Paper 3 Calculator
Mark scheme for Predicted Paper
,Mark Scheme for AQA GCSE Mathematics Foundation Paper 3
Five Year Past Paper Question Analysis by topic and frequency
1. Arithmetic
• Percentage: 37%
• Recurring Patterns:
o Focus on real-world applications like calculating costs, evaluating discounts, and
determining ratios.
o Strong emphasis on numerical fluency, including fractions, percentages, and
proportional reasoning.
o Consistently tests fundamental arithmetic skills across all papers.
2. Algebra
• Percentage: 31%
• Recurring Patterns:
o Simplification of expressions and solving equations.
o Substitution in formulas and nth terms of sequences.
o Logical reasoning and problem-solving in a variety of contexts.
3. Geometry
• Percentage: 21%
• Recurring Patterns:
o Questions cover basic properties of shapes, angles, and symmetry.
o Includes calculations of area, volume, and perimeter of 2D and 3D shapes.
o Occasional integration with other topics like arithmetic or trigonometry.
4. Probability and Statistics
• Percentage: 7%
• Recurring Patterns:
o Basic probability and interpreting frequency trees.
o Questions focus on reading and analyzing data in charts and tables.
o Minimal emphasis on complex probability or statistical calculations.
Page | 2
,5. Graphs
• Percentage: 4%
• Recurring Patterns:
o Simple tasks like plotting points and identifying trends.
o Limited focus on distance-time or quadratic graphs.
o Few multi-step questions involving graphs or equations.
1. Most Tested Areas:
• Arithmetic and algebra form the core focus of all three papers, accounting for nearly
70% of the total questions.
• Both areas emphasize foundational skills and practical applications.
2. Least Tested Areas:
• Probability, statistics, and graphs appear in limited capacity, with simple and direct tasks.
3. Recurring Patterns Across Papers:
1. Real-Life Contexts:
Many questions are framed in practical scenarios, such as cost analysis, distance-time
relationships, and data interpretation.
2. Progressive Difficulty:
Questions transition from simple recall-based tasks to moderately challenging multi-step
problems.
Integration of Topics:
Some questions combine arithmetic with geometry or algebra with statistics, testing broader
conceptual understanding.
Page | 3
, 1. (a) What is the clockwise turn from North to South?
Question:
What is the clockwise turn from North to South? Circle your answer:
• 45∘
• 90∘
• 180∘
• 135∘
1. Strategies to Answer the Question
• Visualize or sketch a compass.
o North is the starting point at the top of the compass.
o South is directly opposite, at the bottom of the compass.
• Observe that moving from North to South forms a straight line.
• A straight line represents a turn of 180∘ .
2. Mark Scheme
• 1 mark for correctly circling 180∘ .
3. Background Theory Needed
• Angles in a Circle: A full circle is 360∘ . Half of a circle (a straight line) is 180∘ .
Example: A clockwise turn from North to South moves halfway around the compass,
forming a 180∘ angle.
1. (b) Circle the number with the lowest value.
Question:
Circle the number with the lowest value:
Page | 4
MATHEMATICS
Foundation Tier Paper 3 Calculator
Mark scheme for Predicted Paper
,Mark Scheme for AQA GCSE Mathematics Foundation Paper 3
Five Year Past Paper Question Analysis by topic and frequency
1. Arithmetic
• Percentage: 37%
• Recurring Patterns:
o Focus on real-world applications like calculating costs, evaluating discounts, and
determining ratios.
o Strong emphasis on numerical fluency, including fractions, percentages, and
proportional reasoning.
o Consistently tests fundamental arithmetic skills across all papers.
2. Algebra
• Percentage: 31%
• Recurring Patterns:
o Simplification of expressions and solving equations.
o Substitution in formulas and nth terms of sequences.
o Logical reasoning and problem-solving in a variety of contexts.
3. Geometry
• Percentage: 21%
• Recurring Patterns:
o Questions cover basic properties of shapes, angles, and symmetry.
o Includes calculations of area, volume, and perimeter of 2D and 3D shapes.
o Occasional integration with other topics like arithmetic or trigonometry.
4. Probability and Statistics
• Percentage: 7%
• Recurring Patterns:
o Basic probability and interpreting frequency trees.
o Questions focus on reading and analyzing data in charts and tables.
o Minimal emphasis on complex probability or statistical calculations.
Page | 2
,5. Graphs
• Percentage: 4%
• Recurring Patterns:
o Simple tasks like plotting points and identifying trends.
o Limited focus on distance-time or quadratic graphs.
o Few multi-step questions involving graphs or equations.
1. Most Tested Areas:
• Arithmetic and algebra form the core focus of all three papers, accounting for nearly
70% of the total questions.
• Both areas emphasize foundational skills and practical applications.
2. Least Tested Areas:
• Probability, statistics, and graphs appear in limited capacity, with simple and direct tasks.
3. Recurring Patterns Across Papers:
1. Real-Life Contexts:
Many questions are framed in practical scenarios, such as cost analysis, distance-time
relationships, and data interpretation.
2. Progressive Difficulty:
Questions transition from simple recall-based tasks to moderately challenging multi-step
problems.
Integration of Topics:
Some questions combine arithmetic with geometry or algebra with statistics, testing broader
conceptual understanding.
Page | 3
, 1. (a) What is the clockwise turn from North to South?
Question:
What is the clockwise turn from North to South? Circle your answer:
• 45∘
• 90∘
• 180∘
• 135∘
1. Strategies to Answer the Question
• Visualize or sketch a compass.
o North is the starting point at the top of the compass.
o South is directly opposite, at the bottom of the compass.
• Observe that moving from North to South forms a straight line.
• A straight line represents a turn of 180∘ .
2. Mark Scheme
• 1 mark for correctly circling 180∘ .
3. Background Theory Needed
• Angles in a Circle: A full circle is 360∘ . Half of a circle (a straight line) is 180∘ .
Example: A clockwise turn from North to South moves halfway around the compass,
forming a 180∘ angle.
1. (b) Circle the number with the lowest value.
Question:
Circle the number with the lowest value:
Page | 4
