Length

16 Grade 6 Mathematics questions on Length, with worked marking schemes. 16 questions are available on this topic in full.

1. Question 1

   1 mark

   A rectangular field is 200 m by 150 m. What is the total fencing needed?

   A. 30,000 m

   B. 700 m

   C. 600 m

   D. 350 m

   (1 mark)

   Marking scheme

   B. $700$ m — fencing goes round the edge, so this is the perimeter $2(200+150)=700$. A is the area, which measures the ground inside rather than the boundary.

2. Question 2

   1 mark

   What is the perimeter of an equilateral triangle with side 15 cm?

   A. 60 cm

   B. 75 cm

   C. 45 cm

   D. 30 cm

   (1 mark)

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3. Question 3

   1 mark

   The circumference of a wheel is 1.5 m. How many full turns does it make to cover 30 m?

   A. 15

   B. 45

   C. 20

   D. 30

   (1 mark)

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4. Question 4

   1 mark

   How many metres are in 0.75 km?

   A. 7,500

   B. 750

   C. 7.5

   D. 75

   (1 mark)

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5. Question 5

   1 mark

   Convert 8,350 m to km and m.

   A. 8 km 350 m

   B. 835 km

   C. 83 km 50 m

   D. 8 km 35 m

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6. Question 6

   1 mark

   A ribbon is 2 m 45 cm long. Express this in cm.

   A. 24.5 cm

   B. 245 cm

   C. 2,450 cm

   D. 2,045 cm

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7. Question 7

   1 mark

   The diameter of a circular pond is 14 m. What is its circumference? (Use $\pi =\frac{22}{7}$)

   A. 42 m

   B. 44 m

   C. 88 m

   D. 154 m

   (1 mark)

   Marking scheme

   B. $44$ m — the diameter is given, so use $C=\pi d$ directly: $\frac{22}{7}\times 14=44$. C doubles as well, treating $14$ as a radius, and D is the area.

8. Question 8

   1 mark

   A road is 12.5 km long. A driver covers 7 km 800 m. How far is left?

   A. Both B and C

   B. 4,700 m

   C. 4.7 km

   D. 5,700 m

   (1 mark)

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9. Question 9

   1 mark

   Convert 5.6 km to metres.

   A. 560 m

   B. 56,000 m

   C. 5,600 m

   D. 56 m

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10. Question 10

    1 mark

    A wire 3.2 m long is cut into 8 equal pieces. How long is each piece in cm?

    A. 32 cm

    B. 320 cm

    C. 40 cm

    D. 4 cm

    (1 mark)

    Marking scheme

    C. $40$ cm — the answer is wanted in centimetres, so convert first: $3.2$ m is $320$ cm, and $320÷8=40$. A divides before converting.

11. Question 11

    1 mark

    A lorry transported 4,500 kg of sand to a construction site. What was the mass of the sand in tonnes?

    A. 4.5

    B. 0.45

    C. 45

    D. 450

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12. Question 12

    1 mark

    A perimeter of a square field is 480 m. What is the length of one side?

    A. 160 m

    B. 120 m

    C. 240 m

    D. 60 m

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13. Question 13

    1 mark

    A lorry transported 4,500 kg of sand to a construction site. What was the mass of the sand in tonnes?

    A. 4.5

    B. 0.45

    C. 45

    D. 450

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14. Question 14

    1 mark

    How many centimetres are in 4.25 m?

    A. 425 cm

    B. 42.5 cm

    C. 4,250 cm

    D. 4.25 cm

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15. Question 15

    1 mark

    The perimeter of a rectangle is 72 cm. The length is 22 cm. What is the width?

    A. 28 cm

    B. 25 cm

    C. 14 cm

    D. 50 cm

    (1 mark)

    Marking scheme

    C. $14$ cm — perimeter is $2(l+w)$, so $l+w=72÷2=36$, and the width is $36-22=14$. D subtracts the length from the whole perimeter without halving first.

16. Question 16

    1 mark

    Convert 67 mm to cm.

    A. 6.7 cm

    B. 0.67 cm

    C. 67 cm

    D. 670 cm

    (1 mark)

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