Mathematics Paper 1 (Non-Calculator) Foundation Tier

General Instructions

• Use black ink or ball-point pen.
• Fill in candidate details: name, centre number, candidate number.
• Answer all questions in the spaces provided; calculations must be shown.
• Diagrams are not accurately drawn unless stated.
• Calculators are not allowed.

Examination Details

• Total marks: 80
• Time allocated: 1 hour 30 minutes
• Use provided formulae sheet.
• Necessary tools: ruler, protractor, compasses, pen, HB pencil, eraser.

Question Breakdown

Simple Arithmetic and Operations

1. Convert 0.3 into a fraction.
2. Calculate (3^2).
3. Solve (20 \times (3 + 2)).
4. Identify a factor of 60 between 8 and 14.

Algebra and Simplification

5. Simplify the expression (3w + 5t).
6. Calculate the remaining money after costs for a trip (involving multiple costs like petrol, tickets, meals with specified values).

Probability and Statistics

7. Given letters B, C, A, find:
   • Mode of the set.
   • Probability of picking a specific letter.

Solving Equations

8. Solve linear equations:
   • (m - 3 = 4)
   • (3n + n = 24)

Geometry and Measurement

9. Find the value of (y) from a given geometric diagram.
10. Calculate the number of items that can be bought within a budget and evaluate changes in conditions (e.g., sale).
11. Geometry questions involving transformations:

• Determine the scale factor for an enlargement.
• Reflect a shape and write the equation for the mirror line.

Time Management and Scheduling

12. Calculate time spent in various activities (sports centre example) and assess if a schedule is met.

Data Interpretation

13. Use a composite bar chart to extract information regarding population demographics.

Distance and Scale

14. Calculate distance using speed and time, convert map scale to real-world distance.

Coordinates and Graphs

15. Find the midpoint of a line segment given coordinates.

Algebraic Expressions and Ratios

16. Solve for dimensions in geometric shapes using perimeter.
17. Calculate probabilities and ratios within a group of items (e.g., colored counters).
18. Determine percentage compositions in groups of items after changes.
19. Write numbers as products of prime factors.

Fractions, Decimals, and Percentages

20. Perform operations on fractions and convert results.
21. Simplify expressions with powers.
22. Calculate products of decimals.

Proportional Reasoning

23. Determine production numbers based on survey data.
24. Solve ratio problems involving multiple levels (e.g., a:b = 1:3, b:c = 6:5).

Physics Applications

25. Calculate pressure using force and area.

Inequalities and Factorization

26. Solve inequalities and factor quadratic expressions.

Evaluation

• Check answers thoroughly if time permits.
• Aim to attempt every question for maximum scoring potential.