Ratio

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

1. Question 1

   1 mark

   Divide 560 in the ratio 3:5.

   A. 168 and 392

   B. 200 and 360

   C. 280 and 280

   D. 210 and 350

   (1 mark)

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2. Question 2

   1 mark

   Increase 450 in the ratio 5:3.

   A. 750

   B. 150

   C. 270

   D. 900

   (1 mark)

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3. Question 3

   1 mark

   The ratio of boys to girls is 3:4. If there are 21 boys, how many girls are there?

   A. 32

   B. 24

   C. 12

   D. 28

   (1 mark)

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4. Question 4

   1 mark

   If 3 litres of paint cover 12 m², how many litres are needed for 40 m²?

   A. 15 litres

   B. 8 litres

   C. 10 litres

   D. 12 litres

   (1 mark)

   Marking scheme

   C. $10$ litres — direct proportion: $40$ m${}^2$ is not a whole multiple of $12$, so work per square metre. One litre covers $12÷3=4$ m${}^2$, so $40$ m${}^2$ needs $40÷4=10$ litres.

5. Question 5

   1 mark

   A map scale is 1:50,000. A distance of 4 cm on the map represents:

   A. 2 km

   B. 200 m

   C. 20 km

   D. 200 km

   (1 mark)

   Marking scheme

   A. $2$ km — multiply by the scale: $4\times 50,000=200,000$ cm. Then convert, since $100,000$ cm make a kilometre: $2$ km. D reads the 200,000 cm as metres, and B and C each put the decimal point one place out.

6. Question 6

   1 mark

   Simplify the ratio 24:36.

   A. 2:3

   B. 4:6

   C. 3:4

   D. 12:18

   (1 mark)

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