N9 Standard form: calculating and interpreting A x 10^n Quiz: AQA Maths, Unit 1

The 20 questions

1. Write 4 500 000 in standard form.

   • 45 × 10⁵
   • 0.45 × 10⁷
   • 4.5 × 10⁵
   • 4.5 × 10⁶

2. Write 0.00072 in standard form.

   • 7.2 × 10⁻⁴
   • 7.2 × 10⁴
   • 72 × 10⁻⁶
   • 7.2 × 10⁻³

3. Calculate (3 × 10⁴) × (2 × 10³), giving the answer in standard form.

   • 6 × 10⁷
   • 6 × 10⁶
   • 5 × 10⁷
   • 6 × 10¹²

4. Calculate (6 × 10⁸) ÷ (2 × 10³), giving the answer in standard form.

   • 3 × 10⁴
   • 4 × 10⁵
   • 3 × 10⁶
   • 3 × 10⁵

5. Which of these is the largest: 3.2 × 10⁵, 4.1 × 10⁴, 9 × 10³ or 2.8 × 10⁵?

   • 2.8 × 10⁵
   • 4.1 × 10⁴
   • 3.2 × 10⁵
   • 9 × 10³

6. Write 3.4 × 10⁴ as an ordinary number.

   • 3400
   • 340 000
   • 0.000034
   • 34 000

7. The Sun is about 1.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

   • 15 000 000 km
   • 1 500 000 000 km
   • 1 500 000 km
   • 150 000 000 km

8. A calculator display shows 3.6 E5. What is this number in ordinary form?

   • 0.00036
   • 3 600 000
   • 360 000
   • 36 000

9. Calculate (4 × 10⁻³) × (5 × 10⁻²), giving the answer in standard form.

   • 2 × 10⁻⁵
   • 9 × 10⁻⁵
   • 2 × 10⁴
   • 2 × 10⁻⁴

10. Which number is written correctly in standard form?

    • 5.1 × 10⁻²
    • 50.1 × 10⁻²
    • 0.51 × 10⁻¹
    • 51 × 10⁻³

11. Calculate (2 × 10⁵) + (3 × 10⁴), giving the answer in standard form.

    • 5 × 10⁵
    • 2.3 × 10⁴
    • 2.3 × 10⁵
    • 5 × 10⁹

12. Write 0.0000907 in standard form.

    • 9.07 × 10⁻⁴
    • 90.7 × 10⁻⁶
    • 9.07 × 10⁻⁵
    • 9.07 × 10⁵

13. Calculate (6 × 10⁶) ÷ (3 × 10²), giving the answer in standard form.

    • 2 × 10³
    • 2 × 10⁴
    • 3 × 10⁴
    • 2 × 10⁸

14. A grain has mass 2 × 10⁻⁵ kg. How many grains have a total mass of 1 kg?

    • 5 × 10⁻⁴
    • 5 × 10⁴
    • 2 × 10⁵
    • 2 × 10⁴

15. Write 1 234 000 000 correct to 2 significant figures in standard form.

    • 12 × 10⁸
    • 1.23 × 10⁹
    • 1.3 × 10⁹
    • 1.2 × 10⁹

16. A calculator display shows 4.7 -03. What is this number?

    • 4700
    • 0.047
    • 0.0047
    • 47 000

17. Calculate 8 × 10⁵ × 2.5 × 10⁻³, giving the answer in standard form.

    • 2 × 10⁻²
    • 20 × 10⁸
    • 2 × 10³
    • 2 × 10²

18. What is 3 × 10⁰ in ordinary form?

    • 30
    • 3
    • 0.3
    • 300

19. A virus is about 1 × 10⁻⁷ m long. Write this length as an ordinary decimal in metres.

    • 0.0000001 km
    • 0.0000001 m
    • 0.000001 m
    • 0.00000001 m

20. Light travels about 3 × 10⁸ m each second. How far does it travel in 10 seconds?

    • 30 × 10⁹ m
    • 3 × 10⁹ m
    • 3 × 10⁷ m
    • 3 × 10⁸ m

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