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This is your second GL 11+ Mathematics practice paper. It covers geometry, algebra, data handling, ratio, and multi-step problems.
Q1. What are the next two numbers in this sequence? 3, 7, 11, 15, 19, ___, ___ (1 mark)
Q2. Find the rule for this sequence and the 10th term: 5, 8, 11, 14, 17, ... (2 marks)
Q3. Solve: 4x + 7 = 31 (2 marks)
Q4. If a = 5 and b = 3, find the value of 2a squared minus 3b. (2 marks)
Q5. Write an expression for the perimeter of a rectangle with length (2n + 1) and width (n + 4). Simplify your answer. (3 marks)
Q6. Angles on a straight line add up to ___ degrees. (1 mark)
Q7. In a triangle, two angles are 65 degrees and 48 degrees. What is the third angle? (2 marks)
Q8. A regular pentagon has how many lines of symmetry? (1 mark)
Q9. Name the 3D shape that has 6 faces (all rectangles), 12 edges, and 8 vertices. (1 mark)
Q10. A circle has a diameter of 14 cm. Calculate its circumference. Use the approximation that pi is approximately 22/7. (2 marks)
Q11. Two angles are vertically opposite. One angle is 72 degrees. What is the other angle? Explain why. (1 mark)
Q12. A shape has been translated 3 units right and 2 units down. If the original point was at (1, 5), what are the new coordinates? (2 marks)
Q13. The table shows the number of books read by pupils in Class 6 during one term.
| Books read | 0–2 | 3–5 | 6–8 | 9–11 | 12+ |
|---|---|---|---|---|---|
| Number of pupils | 4 | 8 | 12 | 5 | 1 |
(a) How many pupils are in Class 6? (1 mark) (b) What fraction of the class read 6 or more books? Give your answer in its simplest form. (2 marks) (c) Which group is the mode? (1 mark)
Q14. The mean of five numbers is 12. Four of the numbers are 8, 10, 14, and 16. What is the fifth number? (2 marks)
Q15. A pie chart shows how 60 pupils travel to school. The "walk" sector has an angle of 120 degrees. How many pupils walk to school? (2 marks)
Q16. The range of a set of numbers is 15. The smallest number is 7. What is the largest number? (2 marks)
Q17. Share 72 pounds between Ali and Ben in the ratio 5:3. (2 marks)
Q18. A recipe for 4 people requires 300 g of flour. How much flour is needed for 10 people? (2 marks)
Q19. A shop sells pencils for 35p each. Tom has 5 pounds. He buys as many pencils as he can. (a) How many pencils can he buy? (2 marks) (b) How much change does he get? (1 mark)
Q20. A car travels at 60 miles per hour. How far does it travel in 2 hours and 15 minutes? (3 marks)
| Section | Marks |
|---|---|
| A: Number Patterns & Algebra | 10 |
| B: Geometry & Angles | 10 |
| C: Data Handling | 10 |
| D: Ratio & Multi-Step Problems | 10 |
| Total | 40 |
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