Ratios and Rates Topic Test

Ratios and rates · MST-12-S2-05

Maths Standard Year 12 · All 1 lesson · MC checkpoint plus separate short-answer practice

L1, Rates

25 MC 8 SA ~55 min

0/25

MC Checkpoint

Answer questions to see your score.

Recommended next step after MC checkpoint

Complete the 25 multiple choice questions to unlock a sharper next move. The short-answer section below is separate practice.

Why this won

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Part A, Multiple Choice (1 mark each, 25 marks total)

1 A car travels 240 km in 3 hours. Its average speed is: L1

A the largest number

B $80$ km/h

C the smallest label

D the time zone

B, $80$ km/h. Speed $= 240 \div 3 = 80$ km/h.

2 At 90 km/h, how far does a car travel in 2.5 hours? L1

A $225$ km

B the largest number

C the smallest label

D the time zone

A, $225$ km. Distance $= 90 \times 2.5 = 225$ km.

3 A 500 g packet costs $4.50. What is the cost per kg? L1

A the largest number

B the smallest label

C $9.00/kg

D the time zone

C, $9.00/kg. 500 g is 0.5 kg, so $4.50 divided by 0.5 = 9.00.

4 Which is better value: 2 kg for $7.80 or 3 kg for $11.40? L1

A the largest number

B the smallest label

C the time zone

D 3 kg for $11.40

D, 3 kg for $11.40. The unit prices are $3.90/kg and $3.80/kg.

5 A tap fills 18 L in 3 minutes. Its flow rate is: L1

A $6$ L/min

B the largest number

C the smallest label

D the time zone

A, $6$ L/min. $18 \div 3 = 6$ L/min.

6 At 12 L/min, how long to fill 96 L? L1

A the largest number

B $8$ min

C the smallest label

D the time zone

B, $8$ min. $96 \div 12 = 8$ min.

7 A car uses 32 L to travel 400 km. Fuel consumption is: L1

A the largest number

B the smallest label

C the time zone

D $8$ L/100 km

D, $8$ L/100 km. $32 \div 400 \times 100 = 8$.

8 A car uses 7.5 L/100 km for a 360 km trip. Fuel used is: L1

A the largest number

B the smallest label

C $27$ L

D the time zone

C, $27$ L. $7.5 \times 360 \div 100 = 27$.

9 A worker earns $184 for 8 hours. Hourly rate is: L1

A the largest number

B $23/h

C the smallest label

D the time zone

B, $23/h. $184 divided by 8 = 23.

10 If $1 AUD = 0.65 USD, then $200 AUD is: L1

A $130 USD

B the largest number

C the smallest label

D the time zone

A, $130 USD. $200 \times 0.65 = 130$.

11 A runner covers 10 km in 50 min. Speed in km/h is: L1

A the largest number

B the smallest label

C the time zone

D $12$ km/h

D, $12$ km/h. 50 min is $5/6$ h, so $10 \div 5/6 = 12$.

12 A recipe uses 300 g flour for 12 biscuits. Flour per biscuit is: L1

A the largest number

B the smallest label

C $25$ g

D the time zone

C, $25$ g. $300 \div 12 = 25$.

13 If 5 m of fabric costs $42.50, the cost per metre is: L1

A $8.50/m

B the largest number

C the smallest label

D the time zone

A, $8.50/m. $42.50 divided by 5 = 8.50.

14 At 75 km/h, the time to travel 150 km is: L1

A the largest number

B the smallest label

C $2$ h

D the time zone

C, $2$ h. $150 \div 75 = 2$.

15 A cyclist rides 18 km in 45 minutes. Average speed is: L1

A the largest number

B $24$ km/h

C the smallest label

D the time zone

B, $24$ km/h. 45 min is 0.75 h, so $18 \div 0.75 = 24$.

16 Which unit is a rate? L1

A the largest number

B the smallest label

C the time zone

D $ per kg

D, $ per kg. A rate compares two different units.

17 A machine makes 240 items in 6 hours. Production rate is: L1

A the largest number

B the smallest label

C $40$ items/h

D the time zone

C, $40$ items/h. $240 \div 6 = 40$.

18 At 40 items/h, how many items are made in 7.5 h? L1

A $300$

B the largest number

C the smallest label

D the time zone

A, $300$. $40 \times 7.5 = 300$.

19 A 1.25 L bottle costs $3.75. Cost per litre is: L1

A the largest number

B $3.00/L

C the smallest label

D the time zone

B, $3.00/L. $3.75 divided by 1.25 = 3.00.

20 A car travels at 100 km/h for 45 minutes. Distance is: L1

A the largest number

B the smallest label

C the time zone

D $75$ km

D, $75$ km. 45 minutes is 0.75 h, so distance is 75 km.

21 Fuel costs $1.90/L and a trip uses 26 L. Fuel cost is: L1

A $49.40

B the largest number

C the smallest label

D the time zone

A, $49.40. $1.90 \times 26 = 49.40$.

22 A printer prints 18 pages per minute. Time for 270 pages is: L1

A the largest number

B the smallest label

C the time zone

D $15$ min

D, $15$ min. $270 \div 18 = 15$.

23 Which is best value: 750 mL for $3.60 or 1 L for $4.40? L1

A the largest number

B the smallest label

C 1 L for $4.40

D the time zone

C, 1 L for $4.40. 750 mL costs $4.80/L, so $4.40/L is better.

24 A trip is 520 km and the car uses 6.5 L/100 km. Fuel used is: L1

A the largest number

B $33.8$ L

C the smallest label

D the time zone

B, $33.8$ L. $6.5 \times 520 \div 100 = 33.8$.

25 To compare best value, you should usually: L1

A convert to the same unit rate

B the largest number

C the smallest label

D the time zone

A, convert to the same unit rate. Unit rates allow fair comparison.

Part B, Short Answer (separate practice)

0 L1

A car travels 315 km in 3.5 hours.

(a) Find the average speed.

(b) How far would it travel in 5 hours at this speed?

(a) $315 \div 3.5 = 90$ km/h.

(b) $90 \times 5 = 450$ km.

1 L1

Compare 600 g for $5.10 with 1 kg for $8.20.

(a) Find each cost per kg.

(b) State the better value.

(a) $5.10 \div 0.6 = \$8.50$/kg; the other is $\$8.20$/kg.

(b) The 1 kg option is better.

2 L1

A car has fuel consumption 7.2 L/100 km.

(a) Find fuel used for 450 km.

(b) Find cost if fuel is $1.85/L.

(a) $7.2 \times 450 \div 100 = 32.4$ L.

(b) Cost is $\$59.94$.

3 L1

A pump moves 84 L in 7 minutes.

(a) Find the flow rate.

(b) How long to pump 180 L?

(a) $12$ L/min.

(b) $180 \div 12 = 15$ min.

4 L1

A runner completes 12 km in 1 h 20 min.

(a) Convert the time to hours.

(b) Find the average speed.

(a) $1.333\ldots$ h.

(b) Speed is 9 km/h.

5 L1

A worker is paid $31.50 per hour for 38 hours.

(a) Find the weekly pay.

(b) Find the pay for 4 weeks.

(a) $31.50 \times 38 = \$1\,197$.

(b) $\$4\,788$.

6 L1

A recipe for 8 serves uses 500 g rice.

(a) Find rice per serve.

(b) Find rice needed for 20 serves.

(a) $62.5$ g.

(b) $1\,250$ g.

7 L1

A printer works at 22 pages per minute.

(a) How many pages in 15 minutes?

(b) How long for 550 pages?

(a) 330 pages.

(b) 25 minutes.

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