Math 9 · Unit 7: Shapes and measurements · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. 1 hectometre = how many metres?

   • 10
   • 0.01
   • 100
   • 1000
   Check

2. 2. 1 kilogram = how many grams?

   • 1 000 000
   • 0.001
   • 100
   • 1000
   Check

3. 3. 1 megatonne = how many tonnes?

   • 100
   • 1 000 000
   • 1000
   • 1 000 000 000
   Check

4. 4. 1 gigalitre = how many litres?

   • 1 000 000
   • 1000
   • 1 000 000 000
   • 1 000 000 000 000
   Check

5. 5. 1 centimetre = ____ metres OR 1 metre = ____ centimetres. What goes in the two blanks?

   • 100 and 0.01
   • 0.1 and 10
   • 0.01 and 100
   • 0.001 and 1000
   Check

6. 6. 1 milligram = ____ grams OR 1 gram = ____ milligrams. What goes in the two blanks?

   • 0.000 001 and 1 000 000
   • 1000 and 0.001
   • 0.001 and 1000
   • 0.01 and 100
   Check

7. 7. 1 microlitre = ____ litres OR 1 litre = ____ microlitres. What goes in the two blanks?

   • 0.000 000 001 and 1 000 000 000
   • 0.001 and 1000
   • 1 000 000 and 0.000 001
   • 0.000 001 and 1 000 000
   Check

8. 8. 1 nanometre = ____ metres OR 1 metre = ____ nanometres. What goes in the two blanks?

   • 0.000 001 and 1 000 000
   • 0.001 and 1000
   • 0.000 000 001 and 1 000 000 000
   • 1 000 000 000 and 0.000 000 001
   Check

9. 9. Write these capacities in order of size, starting with the smallest.

   Put these in order.

   • 3 teralitres
   • 3 millilitres
   • 3 litres
   • 3 nanolitres
   • 3 centilitres
   Check

10. 10. Write 3 centilitres, 3 litres, 3 teralitres, 3 millilitres and 3 nanolitres using only letters for the units, in that order.

    • 3 cL, 3 L, 3 TL, 3 μL, 3 nL
    • 3 CL, 3 L, 3 TL, 3 ML, 3 NL
    • 3 cL, 3 L, 3 TL, 3 mL, 3 nL
    • 3 cL, 3 L, 3 GL, 3 mL, 3 nL
    Check

11. 11. Write these masses in order of size, starting with the smallest.

    Put these in order.

    • 9 kilograms
    • 9 micrograms
    • 9 grams
    • 9 gigagrams
    • 9 milligrams
    Check

12. 12. Write 9 gigagrams, 9 grams, 9 milligrams, 9 kilograms and 9 micrograms using only letters for the units, in that order.

    • 9 Gg, 9 g, 9 mg, 9 kg, 9 ng
    • 9 Tg, 9 g, 9 mg, 9 kg, 9 μg
    • 9 Gg, 9 g, 9 Mg, 9 kg, 9 μg
    • 9 Gg, 9 g, 9 mg, 9 kg, 9 μg
    Check

13. 13. Complete the description, using the words and letters in the box. Words and letters to use: length, one thousandth, μg, mass, one millionth, mm, metres, one thousand, g, m, one million, grams. A millimetre is a very small measure of (1) ____ . It is represented by the letters (2) ____ . 1 millimetre = 0.001 (3) ____ which is the same as 1 mm = 1 × 10⁻³ (4) ____ . You can also say that there are (5) ____ millimetres in a metre or that 1 millimetre is (6) ____ of a metre. Which words and letters fill blanks (1) to (6)?

    • mass, mm, grams, g, one thousand, one thousandth
    • length, mm, metres, m, one thousand, one thousandth
    • length, mm, metres, m, one thousandth, one thousand
    • length, m, metres, mm, one million, one millionth
    Check

14. 14. Complete the description, using the words and letters in the box. Words and letters to use: length, one thousandth, μg, mass, one millionth, mm, metres, one thousand, g, m, one million, grams. A microgram is a very small measure of (1) ____ . It is represented by the letters (2) ____ . 1 microgram = 0.000 001 (3) ____ which is the same as 1 μg = 1 × 10⁻⁶ (4) ____ . You can also say that there are (5) ____ micrograms in a gram or that 1 microgram is (6) ____ of a gram. Which words and letters fill blanks (1) to (6)?

    • mass, μg, grams, g, one millionth, one million
    • mass, μg, grams, g, one million, one millionth
    • mass, g, grams, μg, one million, one millionth
    • length, μg, metres, m, one million, one millionth
    Check

15. 15. Complete the description, using the words, letters and numbers in the box. Words, letters and numbers to use: km, one thousandth, large, Mt, metres, one millionth, tonnes, mass, 3, one thousand, 6, megatonne. A kilometre is a very (1) ____ measure of length. It is represented by the letters (2) ____ . 1 kilometre = 1000 (3) ____ which is the same as 1 km = 1 × 10 to the power (4) ____ metres. You can also say that there are (5) ____ metres in a kilometre or that 1 metre is (6) ____ of a kilometre. Which fill blanks (1) to (6)?

    • large, Mt, metres, 3, one thousand, one thousandth
    • large, km, metres, 6, one thousand, one thousandth
    • large, km, metres, 3, one thousand, one thousandth
    • large, km, tonnes, 3, one thousandth, one thousand
    Check

16. 16. Complete the description, using the words, letters and numbers in the box. Words, letters and numbers to use: km, one thousandth, large, Mt, metres, one millionth, tonnes, mass, 3, one thousand, 6, megatonne. A megatonne is a very large measure of (1) ____ . It is represented by the letters (2) ____ . 1 (3) ____ = 1 000 000 tonnes which is the same as 1 Mt = 1 × 10 to the power (4) ____ t. You can also say that there are one million (5) ____ in a megatonne or that 1 tonne is (6) ____ of a megatonne. Which fill blanks (1) to (6)?

    • length, Mt, megatonne, 6, metres, one millionth
    • mass, Mt, megatonne, 3, tonnes, one millionth
    • mass, km, megatonne, 6, tonnes, one millionth
    • mass, Mt, megatonne, 6, tonnes, one millionth
    Check

17. 17. Convert 17.2 km to metres.

    • 17 200 m
    • 0.0172 m
    • 1720 m
    • 172 000 m
    Check

18. 18. Convert 0.9 hL to litres.

    • 90 L
    • 0.009 L
    • 9 L
    • 900 L
    Check

19. 19. Convert 1.5 Gg to grams.

    • 1500 g
    • 1 500 000 g
    • 1 500 000 000 g
    • 15 000 000 000 g
    Check

20. 20. Convert 760 cm to metres.

    • 7.6 m
    • 76 m
    • 76 000 m
    • 0.76 m
    Check