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Welcome to your first CSSE 11+ Mathematics practice paper! The CSSE Maths paper covers arithmetic, problem solving, and reasoning. This paper is split into two sections, just like the real exam.
Work out each calculation. Show your working.
Q1. 5,847 + 3,769 = ? (2 marks)
Q2. 9,004 - 4,657 = ? (2 marks)
Q3. 463 x 28 = ? (2 marks)
Q4. 2,016 / 14 = ? (2 marks)
Q5. What is the value of 8 squared + 5 squared? (2 marks)
Q6. Simplify the fraction 42/56 to its lowest terms. (1 mark)
Q7. Calculate 4/7 + 2/5. Give your answer as a fraction in its simplest form. (2 marks)
Q8. Convert 0.45 to a fraction in its simplest form. (1 mark)
Q9. Find 35% of 460. (2 marks)
Q10. A coat costs 85 pounds. In a sale, the price is reduced by 30%. What is the sale price? (2 marks)
Q11. Put these in order from smallest to largest: 0.6, 5/8, 58%, 3/5. (2 marks)
Q12. A bag contains 40 sweets. Tom eats 3/8 of them. How many sweets are left? (2 marks)
Q13. What is 2/3 of 270? (1 mark)
Q14. A shop has a "buy 3, get 1 free" offer on pencils that cost 45p each. James wants 8 pencils. How much does he pay? (3 marks)
Q15. Calculate 7.85 + 3.6 - 2.09 (2 marks)
Q16. Write the number 4,073,286 in words. (2 marks)
Q17. A rectangle has a length of 14 cm and a width of 9 cm. (a) Calculate the perimeter. (1 mark) (b) Calculate the area. (1 mark)
Q18. A triangle has a base of 12 cm and a perpendicular height of 8 cm. What is its area? (2 marks)
Q19. Convert 4.2 kilometres to metres. (1 mark)
Q20. If a clock shows 15:38, what time will it show 2 hours and 47 minutes later? (2 marks)
Q21. A regular octagon has a perimeter of 56 cm. What is the length of one side? (1 mark)
Q22. What are the next two numbers in this sequence? 4, 9, 16, 25, 36, ___, ___ (2 marks)
Q23. Solve: 5x + 9 = 44 (2 marks)
Q24. If a = 4 and b = 6, find the value of 3a squared - 2b. (2 marks)
Q25. A train leaves Oxford at 08:35 and arrives in London at 09:52. The return train leaves London at 17:15. If the return journey takes the same time, when does the train arrive back in Oxford? (3 marks)
Q26. In a class of 36 pupils, 1/4 walk to school, 1/3 cycle, and the rest come by car. How many pupils come by car? (2 marks)
Q27. Share 96 pounds between Maya and Finn in the ratio 5:3. How much does each person get? (2 marks)
Q28. A recipe for 6 people requires 450 g of flour. How much flour is needed for 10 people? (2 marks)
Q29. A square field has an area of 6,400 m squared. What is the length of one side? What is the perimeter of the field? (3 marks)
Q30. A shop sells notebooks for 1 pound 20 each. Eva has a 10 pound note. She buys as many notebooks as she can. (a) How many notebooks can she buy? (1 mark) (b) How much change does she get? (1 mark)
| Section | Marks |
|---|---|
| A: Arithmetic | 30 |
| B: Problem Solving and Reasoning | 30 |
| Total | 60 |
| Score | What it means |
|---|---|
| 50–60 | Outstanding — keep up the great work! |
| 40–49 | Very good — revise the topics you found tricky |
| 30–39 | Good effort — keep practising the areas you found hard |
| Below 30 | Go back to the Maths course lessons for more help |
| 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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