You are viewing a free preview of this lesson.
Subscribe to unlock all 10 lessons in this course and every other course on LearningBro.
This is your second CSSE 11+ Mathematics practice paper. It includes more challenging problem-solving and reasoning questions alongside arithmetic. This paper mirrors the difficulty level you may encounter in the real CSSE exam.
Q1. 6,389 + 4,745 = ? (2 marks)
Q2. 10,002 - 5,678 = ? (2 marks)
Q3. 527 x 34 = ? (2 marks)
Q4. 2,592 / 18 = ? (2 marks)
Q5. What is the value of 9 squared - 4 cubed? (2 marks)
Q6. Simplify the fraction 48/72 to its lowest terms. (1 mark)
Q7. Calculate 5/6 - 1/4. Give your answer as a fraction in its simplest form. (2 marks)
Q8. Convert 3/8 to a decimal. (1 mark)
Q9. Find 22% of 550. (2 marks)
Q10. A bicycle costs 240 pounds. It is reduced by 15% in a sale. What is the sale price? (2 marks)
Q11. A shop sells apples at 35p each. Mrs Chen buys 2 kg of apples. Each apple weighs 125 g. How much does she pay? (3 marks)
Q12. What is 5/9 of 630? (1 mark)
Q13. A bag of sweets is shared equally among 5 children. Each child gets 12 sweets and there are 3 left over. How many sweets were in the bag? (2 marks)
Q14. Calculate 12.7 - 3.85 + 1.6 (2 marks)
Q15. Write 0.004 as a fraction in its simplest form. (1 mark)
Q16. A number rounded to the nearest hundred is 4,300. What is the smallest possible value of the number? (1 mark)
Q17. A circle has a diameter of 21 cm. Using the approximation that pi is approximately 22/7, calculate the circumference. (2 marks)
Q18. The angles in a triangle are in the ratio 2:3:4. Find the size of each angle. (3 marks)
Q19. A train travels at 80 miles per hour. How far does it travel in 1 hour and 45 minutes? (2 marks)
Q20. A rectangular swimming pool is 25 m long and 12 m wide. A path 2 m wide runs around the outside of the pool. What is the area of the path? (3 marks)
Q21. The mean of six numbers is 15. Five of the numbers are 11, 13, 14, 17, and 19. What is the sixth number? (2 marks)
Q22. A pie chart shows how 90 pupils travel to school. The "bus" sector has an angle of 140 degrees. How many pupils travel by bus? (2 marks)
Q23. What are the next two numbers in this sequence? 2, 5, 10, 17, 26, ___, ___ (2 marks)
Q24. Write an expression for the perimeter of a rectangle with length (3n + 2) and width (n + 5). Simplify your answer. (3 marks)
Q25. A shop has a sale. All prices are reduced by 25%. After the sale, prices increase by 20%. A jumper originally costs 60 pounds. (a) What is the sale price? (1 mark) (b) What is the price after the increase? (1 mark) (c) Is the final price the same as the original price? Explain why or why not. (2 marks)
Q26. A water tank is a cuboid with length 2 m, width 1.5 m, and height 1 m. Water fills the tank to a depth of 0.8 m. How many litres of water are in the tank? (1 litre = 1,000 cm cubed) (3 marks)
Q27. In a survey, 3/5 of the people asked said they preferred tea. 1/4 preferred coffee. The rest (24 people) preferred juice. How many people were surveyed in total? (3 marks)
Q28. A point at (2, 7) is reflected in the x-axis. What are the new coordinates? (1 mark)
| Section | Marks |
|---|---|
| A: Arithmetic | 30 |
| B: Problem Solving and Reasoning | 30 |
| Total | 60 |
Parents/guardians: use this section to mark the paper. Keep it separate from the student during the test.
Q1. 11,134 Working: 9 + 5 = 14, carry 1. 8 + 4 + 1 = 13, carry 1. 3 + 7 + 1 = 11, carry 1. 6 + 4 + 1 = 11. (2 marks: 1 for correct method, 1 for correct answer)
Q2. 4,324 Working: Borrow where needed. 2 cannot take 8, borrow from tens. 0 cannot lend, borrow from hundreds. Continue through the zeros. (2 marks: 1 for correct method, 1 for correct answer)
Q3. 17,918 Working: 527 x 4 = 2,108. 527 x 30 = 15,810. Add: 2,108 + 15,810 = 17,918. (2 marks: 1 for correct method, 1 for correct answer)
Subscribe to continue reading
Get full access to this lesson and all 10 lessons in this course.