Length

14 Grade 4 Mathematics questions on Length, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   Find the perimeter of a square with side 8 cm.

   A. 24 cm

   B. 32 cm

   C. 64 cm

   D. 16 cm

   (1 mark)

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2. Question 2

   1 mark

   Convert 4 km 250 m to metres.

   A. 42,500 m

   B. 4,025 m

   C. 4,250 m

   D. 425 m

   (1 mark)

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3. Question 3

   1 mark

   A running track is 400 m. How many km does an athlete run in 5 laps?

   A. 2 km

   B. 0.2 km

   C. 5 km

   D. 20 km

   (1 mark)

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4. Question 4

   1 mark

   A rectangle is 14 m long and 6 m wide. What is the perimeter?

   A. 84 m

   B. 80 m

   C. 20 m

   D. 40 m

   (1 mark)

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5. Question 5

   1 mark

   How many centimetres are in 2.5 m?

   A. 200 cm

   B. 25 cm

   C. 2,500 cm

   D. 250 cm

   (1 mark)

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6. Question 6

   1 mark

   A plank is 4 m 50 cm. It is cut into 3 equal pieces. How long is each?

   A. 1 m 30 cm

   B. 1 m 50 cm

   C. 1 m 20 cm

   D. 2 m 0 cm

   (1 mark)

   Marking scheme

   B. $1$ m $50$ cm — work in one unit: $4$ m $50$ cm is $450$ cm, and $450÷3=150$ cm, which is $1$ m $50$ cm. Dividing the metres and centimetres separately gives the wrong answer.

7. Question 7

   1 mark

   Subtract: 7 m 20 cm − 3 m 55 cm = ___

   A. 3 m 65 cm

   B. 3 m 75 cm

   C. 4 m 35 cm

   D. 4 m 65 cm

   (1 mark)

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8. Question 8

   1 mark

   Convert 3.8 km to metres.

   A. 380 m

   B. 3,080 m

   C. 3,800 m

   D. 38,000 m

   (1 mark)

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9. Question 9

   1 mark

   Convert 5 m 80 cm to centimetres.

   A. 58 cm

   B. 5,080 cm

   C. 508 cm

   D. 580 cm

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10. Question 10

    1 mark

    Convert 420 cm to metres and centimetres.

    A. 4 m 2 cm

    B. 42 m 0 cm

    C. 42 m 0 cm

    D. 4 m 20 cm

    (1 mark)

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11. Question 11

    1 mark

    Which is longer: 2 km 500 m or 2,800 m?

    A. 2 km 500 m

    B. They are equal

    C. 2,800 m

    D. Cannot compare

    (1 mark)

    Marking scheme

    C. $2,800$ m — convert before comparing: $2$ km $500$ m is $2,500$ m, which is less than $2,800$ m. The figure $500$ looks larger than $800$ only until the units are matched.

12. Question 12

    1 mark

    A rope is $5$ metres long. How many centimetres is this? (Remember $1$ m $=100$ cm.)

    A. $500$

    B. $50$

    C. $550$

    D. $5000$

    (1 mark)

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13. Question 13

    3 marks

    Otieno walks $2$ km $350$ m from home to school each morning, and back home along the same route each evening. What total distance, in metres, does he cover in one day? (Remember $1$ km $=1000$ m.)

    (3 marks)

    Marking scheme

    First change the one-way distance to metres: $2$ km $=2\times 1000=2000$ m, so $2$ km $350$ m $=2000+350=2350$ m. He walks to school and back, so double it: $2350\times 2=4700$ m. He covers $4700$ m in one day.

14. Question 14

    1 mark

    Add: 3 m 60 cm + 2 m 75 cm = ___

    A. 6 m 35 cm

    B. 5 m 35 cm

    C. 6 m 25 cm

    D. 6 m 45 cm

    (1 mark)

    Marking scheme

    A. $6$ m $35$ cm — the centimetres make $60+75=135$, which is more than a metre, so carry one metre across: $3+2+1=6$ m and $35$ cm left. B comes from dropping that carry.

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