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GCSE Mathematics Unit 2 Preparation: Non-Calculator Exam Practice and Problem Solving

Prepare for your GCSE Mathematics Unit 2 non-calculator examination with this comprehensive guide. This resource includes solving inequalities, simplifying expressions, and working with ratios and proportions. Practice problems cover standard form, prime factorization, highest common factors, and simultaneous equations, tailored for exam success. Engage with real-world applications like calculating discounts and sharing amounts in ratios. This guide is a vital tool for anyone looking to excel in their upcoming mathematics exams.

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GCSE Mathematics Unit 2 Preparation: Non-Calculator Exam Practice and Problem Solving

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  1. GCSE Mathematics Unit 2 Preparation for your forthcoming non-calculator examination

  2. a) Work out the integer values of n which satisfy the inequality b) Solve

  3. Simplify fully each of the following a) b)

  4. Express in standard form (i) 46 million (ii) 0.00000375 Work out leaving your answer in standard form

  5. Jack wins £100 in a local raffle which he intends to share with his sister in the ratio of their ages. If Jack is 12 years old and his sister is 8 years old how much will Jack give to his sister?

  6. P is directly proportional to R2 When R = 5, P = 100 Find an equation connecting P and R. Find the value of R when P = 144

  7. Express 120 as a product of prime factors Given that find the highest common factor of 36 and 120

  8. Estimate a) b)

  9. An Insurance firm are offering an online discount of 35%. Work out the online discount for insurance usually costing £125. Work out the original price of the Pet Insurance Pet Insurance Sale off Sale Price £98

  10. Write down the value of Work out as a decimal Work out leaving your answer as a power of 4. Simplify Work out

  11. Simplify a) b) c) d) e)

  12. Each pattern is made up from pencils Pattern 1 3 pencils Pattern 2 5 pencils Pattern 3 7 pencils How many pencils will there be in Pattern n? Explain why there is no pattern with 200 pencils.

  13. Solve the equation Solve the simultaneous equations

  14. Solve the equation

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