N8 calculate exactly with fractions, surds and multiples of π Quiz: Pearson Edexcel Maths, Unit 1

The 20 questions

1. Simplify √12.

   • 3√2
   • √6
   • 4√3
   • 2√3

2. What is the exact area of a circle with radius 2 cm?

   • 8π cm²
   • 4π cm²
   • π cm²
   • 2π cm²

3. Rationalise the denominator of 1/√2.

   • 1/2
   • √2
   • 2√2
   • √2/2

4. What is √2 × √8?

   • 2√2
   • 4
   • 8
   • √10

5. Calculate 2/3 + 3/5 exactly.

   • 19/15
   • 5/8
   • 6/15
   • 5/15

6. Simplify 3√5 + 2√5 − √5.

   • 5√5
   • 4√15
   • 4√5
   • 6√5

7. Express 3/8 × 4/9 in simplest form.

   • 1/2
   • 12/17
   • 1/6
   • 7/17

8. Simplify √75.

   • 3√25
   • 25√3
   • 5√3
   • √3 × 25

9. Give the exact circumference of a circle with diameter 5 cm in terms of π.

   • 25π cm
   • 10π cm
   • 5π cm
   • 2.5π cm

10. Simplify (2√3)².

    • 18
    • 4√3
    • 6
    • 12

11. Rationalise the denominator of 5/√10.

    • 5√10
    • √10/2
    • √10
    • 5/10

12. Calculate 5/6 ÷ 2/9 in exact form.

    • 10/54
    • 15/4
    • 5/3
    • 3/10

13. Simplify (√7 + 2)(√7 − 2).

    • -3
    • 4√7
    • 11
    • 3

14. Write 1/(2 + √3) with a rational denominator.

    • 2 − √3
    • √3 − 2
    • (2 − √3)/2
    • 2 + √3

15. Find the exact area of a sector with angle 90° and radius 6 cm.

    • 3π cm²
    • 36π cm²
    • 18π cm²
    • 9π cm²

16. What is the exact value of √3 × √12?

    • √15
    • 6
    • 3√2
    • 4√3

17. Work out 7/12 − 1/8 + 5/6 exactly.

    • 2/3
    • 27/24
    • 31/24
    • 25/24

18. What is the exact circumference of a circle with diameter 3√2 cm?

    • √2π cm
    • 6√2π cm
    • 3π cm
    • 3√2π cm

19. Simplify √18 + √32.

    • 5√2
    • √50
    • 9√2
    • 7√2

20. What is the exact value of 1/√3 + √3?

    • 4√3/3
    • 2/√3
    • √3/3
    • 1/√3 + 3

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