Ratios

Equivalent Ratios

Unitary Method

Sharing by Ratios

Rates

In a class of 28 students there are 17 boys. What is the ratio of boys to girls?

(A) 28:17 (B) 17:11 (C) 11:17 (D) 17:28

(B) 17:11

Express 12:30 as a ratio in its simplest form.

(A) 6:15 (B) 2:5 (C) 4:10 (D) 1:3

(B) 2:5

The ratio of teachers to students is 2:11. How many students are there if there are 10 teachers?

(A) 2 (B) 8 (C) 1 (D) 55

(D) 55

What is $1000 divided into the ratio 4:6?

(A) $400:$600 (B) $100:$900

(C) $600:$400 (D) $900:$100

(A) $400:$600

How much do I earn per hour if I earned $67 over 5 hours?

(A) $0.07 (B) $62 (C) $13.40 (D) $72

(C) $13.40

A bag contains Mints and Fruities. There are 18 lollies altogether and 11 of them are Mints. What is the ratio of Mints to Fruities?

(A) 18:11 (B) 11:18 (C) 7:11 (D) 11:7

(D) 11:7

Which of the following is equivalent to 3:5?

(A) 21:36 (B) 9:25 (C) 18:15 (D) 45:75

(D) 45:75

The ratio of dogs to cats is 15:13. If there are 180 dogs, how many cats are there?

(A) 156 (B) 208 (C) 6 (D) 90

(A) 156

Divide 1640L in the ratio 13:28.

(A) 40L:1600L (B) 1600L:40L

(C) 520L:1120L (D) 1120L:520L

(C) 520L:1120L

Ian jogs 3.5km in 20 minutes. What was his average speed in km/min?

(A) 0.175 km/min (B) 5.714 km/min

(C) 70 km/min (D) 1.75 km/min

(A) 0.175 km/min

In a bag of lollies containing smarties and jubes, 4/11 are smarties. What is the ratio of smarties to jubes?

(A) 4:7 (B) 7:4 (C) 4:11 (D) 7:11

(A) 4:7

Simplify 25cm:0.6m

(A) 5:12 (B) 25:0.6 (C) 25:600 (D) 5:6

(A) 5:12

A triangle has side lengths in the ratio of 2:5:4. If the shortest side is 12.4cm, what are the lengths of the two remaining sides?

(A) 62cm and 49.6cm (B) 24.8cm and 111.6cm

(C) 31cm and 24.8cm (D) 37.2cm and 74.4cm

(C) 31cm and 24.8cm

Divide 24.6m into the ratio 2:3:1.

(A) 4.1m:8.2m:12.3m (B) 8.2m:4.1m:12.3m

(C) 8.2m:12.3m:4.1m (D) 12.3m:8.2m:4.1m

(C) 8.2m:12.3m:4.1m

A train travels 756km at a speed of 168km/h. How long does the journey take?

(A) 20 minutes (B) 20 hours

(C) 4.5 hours (D) 4.5 minutes

(C) 4.5 hours

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