Lesson N8

N8 Exact calculation with fractions, multiples of pi and surds Quiz: AQA Maths, Unit 1

20 questions

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Lesson N8, Exact calculation with fractions, multiples of pi and surds: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 1: Number, written with Revision Ninja.

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The 20 questions

  1. Write 2π + 3π in its simplest form.

    • 5π
    • 3π
    • 6π²
    • 5π²
  2. Simplify √12.

    • 4√3
    • 2√3
    • √6
    • 3√2
  3. Simplify √8 × √2.

    • 2√2
    • √10
    • 4
    • 16
  4. Write 1/√2 with a rational denominator.

    • 2√2
    • 1/2
    • √2/2
    • √2
  5. Calculate 2/3 + 1/4 exactly.

    • 3/12
    • 5/12
    • 11/12
    • 3/7
  6. Calculate 3/4 of 12π.

    • 36π
    • 9π
    • 8π
    • 4π
  7. Calculate (√5)² exactly.

    • 10
    • √10
    • 5
    • 25
  8. Calculate (2 + √3)(2 - √3) exactly.

    • 4 + 2√3
    • 7
    • 1
    • 4√3
  9. Rationalise the denominator of 5/√3.

    • 5/3
    • 5√3/3
    • 5√3
    • √15/3
  10. A circle has radius 3 cm. What is its exact area?

    • 9π cm²
    • 18π cm²
    • 6π cm²
    • 3π cm²
  11. Simplify 2√5 + 3√5 - √5.

    • 4√5
    • 5√5
    • 6√5
    • 4√15
  12. Write 0.75 as a fraction in its simplest form.

    • 3/5
    • 5/4
    • 7/5
    • 3/4
  13. Calculate 5/6 × 3/10 in its simplest form.

    • 3/5
    • 1/4
    • 1/2
    • 1/3
  14. Simplify √75.

    • 3√5
    • 5√3
    • 5√15
    • 25√3
  15. Calculate √18 + √8 exactly.

    • 10
    • √26
    • 5√2
    • 5√26
  16. Find the exact value of half of 6π plus one third of 9π.

    • 9π
    • 6π²
    • 5π
    • 6π
  17. Calculate √7 × (√7 + 1) exactly.

    • 7 + √7
    • 7√7
    • 14
    • 8√7
  18. Calculate (1/2) × (2/3) × (3/4) in its simplest form.

    • 1/4
    • 1/2
    • 2/3
    • 3/4
  19. A rectangle has sides 2√3 cm and √3 cm. What is its exact area?

    • 6 cm²
    • 6√3 cm²
    • 2√3 cm²
    • 3√3 cm²
  20. Calculate 1 1/2 ÷ 3/4 exactly.

    • 4/9
    • 2
    • 1/2
    • 9/8

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