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AQA GCSE Foundation Maths Paper 3 Summary

May 6, 2025

AQA GCSE Maths Foundation Paper 3 Notes

Rounding and Basic Arithmetic

  • Rounding to Two Decimal Places: 6.219 rounds to 6.22.
  • Percentages: If 50% of a number is 40, the full number is 80.
  • Decimals Comparison: 0.7 is greater than 0.07.

Geometry and Shapes

  • Congruent Shapes: Shapes A and C are congruent (rotated).

Calculations Using Cards

  • Multiple of Ten: 38 x 5 = 190 (ends in zero).
  • Single Digit Calculation: 3 x 5 - 8 = 7.
  • Correct Calculation: (6 + 5) / (8 + 3) = 1.

Budgeting and Savings

  • Saving for Purchase: £125 + 19 weeks x £7.50 = £267.50.

Algebra

  • Types of Algebraic Statements:
    • Equation: Has an equal sign.
    • Expression: Does not have an equal sign.

Combinatorics

  • Team Combinations: 6 possible teams with one female and one male.

Word Problems

  • Race Completion:
    • Start: 500 participants (281 men, the rest women).
    • Finish: 224 men, 190 women finished.

Unit Conversion and Measurement

  • Ordering Distances: Convert to meters for comparison.
  • Angle Calculation: Angle X in a line sum is 28°.

Statistics and Probability

  • Pie Chart Completion: Complete pie chart using given angles.
  • Probability: Probability of <4 days absence is 19/25.

Money Management

  • Counting Coins: 14 coins of 20p (worth £2.80) & same number of 50p coins (worth £7.00).
  • Ticket Pricing: Cheapest option for 3 adults + 4 children saves £46.

Graphs and Equations

  • Graph Drawing: Formula Y = 3.6x from 0 to 20.
  • Speed Conversion:
    • 50 km/h ≈ 14 m/s
    • 30 m/s = 67.08 mph

Statistical Calculations

  • Mean Calculation: Mean days absent = 69 days/25 students = 2.76 days.

Formula Representation

  • Formula for Total Value: T = 15 + 10x.

Geometry and Angles

  • Cuboid Drawing: 2x3 rectangle for front elevation.
  • Scale Factor and Similarity: Scale factor = 1.25.

Pythagorean Theorem

  • Use Pythagorean Theorem: Calculate hypotenuse using a² + b² = c².

Problem Solving and Logic

  • Chris' Cycling: Speed home = 8 mph.
  • Similar Triangles: Identify scale factor and calculate unknown side.

Linear Equations

  • Parallel Lines: Identify parallel lines by matching gradients.

Loci and Bisectors

  • Locus of Points: Use compass to find equidistant path between points.

Ratio and Proportion

  • Proportion Problems: Use ratios to solve.

Perimeter and Area

  • Perimeter Calculation: Verify percent decrease claim.

Expanding and Simplifying Expressions

  • Expand Expressions: Distribute terms correctly.

Conclusion

  • Final Calculation: Calculate final values for combined expressions.

These notes compile the key information and processes from the AQA GCSE Foundation Maths Paper 3 lecture, providing a concise study aid for exam preparation.

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