Practice Paper: Maths & NVR 1

Welcome to your first CEM 11+ Mathematics and Non-Verbal Reasoning practice paper! CEM exams interleave maths with spatial reasoning, so this paper mixes both subjects to simulate real exam conditions.

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Instructions

• Time allowed: 45 minutes
• Total marks: 40
• Show your working where possible
• No calculators allowed
• Answer every question — there is no penalty for wrong answers
• Answers are at the end of this paper — do not look until you have finished!

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Section A: Arithmetic & Number (12 marks)

Q1. 6,438 + 3,579 = ? (1 mark)

Q2. 9,001 - 4,367 = ? (1 mark)

Q3. 256 x 34 = ? (2 marks)

Q4. 1,872 / 12 = ? (2 marks)

Q5. What is the value of 8 squared minus 5 squared? (1 mark)

Q6. Round 7,849 to the nearest hundred. (1 mark)

Q7. What is 3/8 + 1/4? Give your answer as a fraction in its simplest form. (2 marks)

Q8. Calculate 20% of 365. (2 marks)

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Section B: Non-Verbal Reasoning — Patterns & Sequences (10 marks)

Q9. A dot moves clockwise around the four corners of a square. It starts in the top-left corner. Where is it after 7 moves? (1 mark)

Q10. A shape sequence shows: circle, square, triangle, circle, square, triangle, circle, ___. What comes next? (1 mark)

Q11. Frame 1: a small white hexagon. Frame 2: a medium grey hexagon. Frame 3: a large black hexagon. The pattern then reverses. What is frame 4? (2 marks)

Q12. An arrow points up in frame 1. It rotates 45 degrees clockwise each frame. Where does it point in frame 5? (1 mark)

Q13. Five shapes are shown: (A) black triangle, (B) black square, (C) white circle, (D) black pentagon, (E) black hexagon. Which is the odd one out? (1 mark)

Q14. A large striped circle becomes a small white circle. A large striped square becomes what? (2 marks)

Q15. A pattern has two features changing independently. The outer shape cycles: triangle, square, pentagon. The inner shading cycles: black, white. Frame 1 is a triangle with a black centre. Frame 2 is a square with a white centre. What is frame 6? (2 marks)

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Section C: Measurement, Geometry & Spatial Reasoning (18 marks)

Q16. Convert 4.2 kilometres to metres. (1 mark)

Q17. A rectangle has length 15 cm and width 9 cm. Calculate its perimeter. (1 mark)

Q18. A triangle has a base of 12 cm and a height of 8 cm. What is its area? (2 marks)

Q19. What is the size of each interior angle of a regular pentagon? (2 marks)

Q20. A cuboid measures 6 cm by 4 cm by 5 cm. What is its volume? (1 mark)

Q21. A clock shows 15:28. What time will it show 2 hours and 47 minutes later? (2 marks)

Q22. Two squares share an edge on a cube net. Are they opposite or adjacent on the cube? (1 mark)

Q23. A square piece of paper is folded in half. A triangle is cut from the folded edge. When unfolded, what shape is the hole? (1 mark)

Q24. How many small cubes make up a 4 x 4 x 4 cube? (1 mark)

Q25. In a 3 x 3 x 3 painted cube, how many small cubes have exactly 2 painted faces? (2 marks)

Q26. A point is at coordinates (2, 6). It is translated 4 units right and 3 units down. What are the new coordinates? (2 marks)

Q27. A shape has 5 sides and 5 lines of symmetry. What is it? (1 mark)

Q28. An L-shape points up and to the right. After reflection in a horizontal mirror line, describe its new orientation. (1 mark)

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Mark Scheme Summary

Section	Marks available
A: Arithmetic & Number	12
B: NVR — Patterns & Sequences	10
C: Measurement, Geometry & Spatial Reasoning	18
Total	40

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How Did You Do?