Practice Paper: Maths & NVR 2

This is your second CEM 11+ Maths and Non-Verbal Reasoning practice paper. It covers algebra, ratio, data handling, and more advanced spatial reasoning — all interleaved as in the real CEM exam.

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Instructions

• Time allowed: 45 minutes
• Total marks: 40
• Show your working for method marks
• No calculators allowed
• Answer every question
• Answers are at the end of this paper — do not look until you have finished!

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Section A: Algebra, Ratio & Data (14 marks)

Q1. What are the next two numbers in this sequence: 5, 11, 17, 23, 29, ___, ___? (1 mark)

Q2. Solve: 3x + 8 = 29 (2 marks)

Q3. If p = 4 and q = 7, find the value of 3p + 2q - 5. (2 marks)

Q4. Share 90 pounds between two friends in the ratio 2:3. How much does each person get? (2 marks)

Q5. A recipe for 6 people requires 450 g of pasta. How much pasta is needed for 10 people? (2 marks)