Length

14 Grade 5 Mathematics questions on Length, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   How many metres are in 4.25 km?

   A. 4,025 m

   B. 4,250 m

   C. 425 m

   D. 42,500 m

   (1 mark)

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2. Question 2

   1 mark

   2,340 m = ___ km ___ m

   A. 2 km 340 m

   B. 23 km 40 m

   C. 2 km 34 m

   D. 234 km 0 m

   (1 mark)

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3. Question 3

   1 mark

   4 km 750 m = ___ m

   A. 4,750 m

   B. 4,075 m

   C. 475 m

   D. 4,705 m

   (1 mark)

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4. Question 4

   1 mark

   12 km 300 m − 5 km 850 m = ___

   A. 7 km 550 m

   B. 7 km 450 m

   C. 6 km 450 m

   D. 6 km 350 m

   (1 mark)

   Marking scheme

   C. $6$ km $450$ m — $300$ m cannot take away $850$ m, so borrow a kilometre to make $1,300-850=450$ m, leaving $11-5=6$ km. B forgets to give that kilometre up.

5. Question 5

   1 mark

   A stick is 2 m 30 cm long. It is cut into 4 equal pieces. How long is each piece?

   A. 58 cm

   B. 57.5 cm

   C. 60 cm

   D. 55 cm

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6. Question 6

   1 mark

   Which is the longest: 2,500 m, 3 km, 2 km 900 m, 2,800 m?

   A. 2,800 m

   B. 2,500 m

   C. 3 km

   D. 2 km 900 m

   (1 mark)

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7. Question 7

   1 mark

   Convert 3.5 km to metres.

   A. 300 m

   B. 350 m

   C. 35,000 m

   D. 3,500 m

   (1 mark)

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8. Question 8

   2 marks

   Achieng has a ribbon that is $2$ m $45$ cm long. She cuts off $85$ cm to tie a gift. What length of ribbon remains? Give your answer in metres and centimetres.

   (2 marks)

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9. Question 9

   1 mark

   Add: 3 km 450 m + 2 km 780 m = ___

   A. 5 km 230 m

   B. 6 km 230 m

   C. 6 km 330 m

   D. 6 km 130 m

   (1 mark)

   Marking scheme

   B. $6$ km $230$ m — the metres make $450+780=1,230$, which is more than a kilometre, so carry one across: $3+2+1=6$ km with $230$ m left. A comes from dropping that carry.

10. Question 10

    1 mark

    Convert 85 mm to centimetres.

    A. 8.5 cm

    B. 8 cm

    C. 0.85 cm

    D. 850 cm

    (1 mark)

    Marking scheme

    A. $8.5$ cm — $10$ mm make $1$ cm, so divide by $10$: $85÷10=8.5$. D multiplies instead, which would make the number larger when a bigger unit must make it smaller.

11. Question 11

    1 mark

    A road is 7.2 km long. A car drives 4.75 km. How far is remaining?

    A. 2.35 km

    B. 3.45 km

    C. 2.55 km

    D. 2.45 km

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12. Question 12

    1 mark

    A race is 400 m. How many times must a runner run it to cover 3.6 km?

    A. 7

    B. 10

    C. 8

    D. 9

    (1 mark)

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13. Question 13

    1 mark

    Perimeter of a rectangle: length 8.5 m, width 4.5 m.

    A. 24 m

    B. 13 m

    C. 38 m

    D. 26 m

    (1 mark)

    Marking scheme

    D. $26$ m — perimeter is $2(\text{length}+\text{width})=2(8.5+4.5)=2\times 13$. B gives only one length and one width, forgetting that each occurs twice.

14. Question 14

    1 mark

    A rope measures $3.5$ m. What is its length in centimetres?

    A. $35$ cm

    B. $3500$ cm

    C. $350$ cm

    D. $305$ cm

    (1 mark)

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