Maths Past Paper PDF
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This document contains a collection of maths questions. The questions cover problem-solving and simplification in algebra, including simplifying surds and expressions.
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1. Simplify: ( 2ab3 )4 2. State whether √ 36 is a rational or irrational number. 3. PATH Simplify the following: 3n 1 5 × 5n 1 3. 4. PATH Simplify the following: √5 32p 10q 15. 5. PATH Determine the exact value of 81− 3 4. 6. MC Select which of the numbers of the set { √ 0.25, 𝜋, 0.261,...
1. Simplify: ( 2ab3 )4 2. State whether √ 36 is a rational or irrational number. 3. PATH Simplify the following: 3n 1 5 × 5n 1 3. 4. PATH Simplify the following: √5 32p 10q 15. 5. PATH Determine the exact value of 81− 3 4. 6. MC Select which of the numbers of the set { √ 0.25, 𝜋, 0.261, −5, 2 3 } are rational. { √ A. 0.25, 𝜋, 0.261} {0.261, −5, 2 3 B. } C. {𝜋, 0.261} { √ 0.25, 0.261, −5, 2 3 D. } 7. MC 12x 8 × 3x 7 9x 10 × x 3 simplifies to: 5x 2 3 A. 4x 2 B. 4x 26 C. 5x 26 3 D. 8. PATH Simplify the following expression: 3√ 2 × √ 10. 9. PATH Simplify the following expression: 5√ 2 + 12√ 2 − 3 √ 2. 10. MC PATH Choose the most simplified form of the following expression: √ 8a 3 + √ 18a + √ a 5 5 √ 2a + a √ A. a 2a √ 2a 2 + 3 √ 2a + a 4 √ B. a 2a 2 √ 2a + 2 √ 3a + a 4 √ C. a 2a √ 2a + 3 √ 2a + a 2 √ D. a 11. True or false? 8−2 = −1 64 12. True or false? 53 × 5 −3 = 0 13. PATH True or false? √3 8x 9 = 2x 6 14. Simplify: 4a 2b 3 × 5a 4b 5 6a 6b 7 15. PATH Simplify: 2 3 2 × 4 − 1 4 ÷ 16 3 4