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Welcome to your first GL 11+ Mathematics practice paper! This paper covers arithmetic, fractions, decimals, percentages, measurement, and word problems.
Work out each calculation. Show your working.
Q1. 4,567 + 2,895 = ? (2 marks)
Q2. 8,003 − 3,748 = ? (2 marks)
Q3. 347 × 26 = ? (2 marks)
Q4. 1,764 ÷ 12 = ? (2 marks)
Q5. What is the value of 7² + 3³? (2 marks)
Q6. Simplify the fraction 36/48 to its lowest terms. (1 mark)
Q7. Calculate 3/5 + 2/3. Give your answer as a mixed number. (2 marks)
Q8. Convert 0.35 to a fraction in its simplest form. (1 mark)
Q9. Find 15% of 240. (2 marks)
Q10. A shirt costs 45 pounds. In a sale, the price is reduced by 20%. What is the sale price? (2 marks)
Q11. Put these in order from smallest to largest: 0.4, 3/8, 37%, 2/5. (2 marks)
Q12. Convert 3.5 kilometres to metres. (1 mark)
Q13. A rectangle has a length of 12 cm and a width of 7 cm. Calculate: (a) The perimeter (1 mark) (b) The area (1 mark)
Q14. A triangle has a base of 10 cm and a height of 6 cm. What is its area? (2 marks)
Q15. What is the size of each interior angle of a regular hexagon? (2 marks)
Q16. A cuboid has length 5 cm, width 4 cm, and height 3 cm. What is its volume? (1 mark)
Q17. If a clock shows 14:47, what time will it show 1 hour and 38 minutes later? (2 marks)
Q18. A baker makes 480 biscuits. He packs them equally into 32 boxes. How many biscuits are in each box? (2 marks)
Q19. Tickets to a show cost 8 pounds for adults and 5 pounds for children. A family of 2 adults and 3 children buys tickets. How much do they pay in total? (2 marks)
Q20. A train leaves the station at 09:15 and arrives at its destination at 11:42. How long does the journey take? (2 marks)
Q21. In a class of 30 pupils, 2/5 walk to school, 1/3 come by bus, and the rest are driven by car. How many pupils come by car? (2 marks)
Q22. A rectangular garden is 18 m long and 12 m wide. A path 1 m wide runs around the inside edge. What is the area of the path? (2 marks)
| Section | Marks |
|---|---|
| A: Arithmetic | 10 |
| B: Fractions, Decimals & Percentages | 10 |
| C: Measurement & Geometry | 10 |
| D: Word Problems | 10 |
| Total | 40 |
| Mistake | How to avoid it |
|---|---|
| Forgetting to carry in addition | Write carried digits clearly above the column |
| Errors with borrowing in subtraction | Check by adding your answer to the smaller number |
| Forgetting units in measurement answers | Always include cm, m, kg, etc. |
| Not simplifying fractions | Always check if your answer can be simplified further |
| Misreading the question | Underline key words like "total", "difference", "how many more" |
Parents/guardians: use this section to mark the paper. Keep it separate from the student during the test.
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