Part A, Multiple Choice (1 mark each, 25 marks total)
1A car travels 240 km in 3 hours. Its average speed is:L1
A $60$ km/h
B $80$ km/h
C $120$ km/h
D $720$ km/h
B, $80$ km/h. Speed $= 240 \div 3 = 80$ km/h.
2At 90 km/h, how far does a car travel in 2.5 hours?L1
A $225$ km
B $36$ km
C $180$ km
D $92.5$ km
A, $225$ km. Distance $= 90 \times 2.5 = 225$ km.
3A 500 g packet costs $4.50. What is the cost per kg?L1
A $2.25/kg
B $0.90/kg
C $9.00/kg
D $4.50/kg
C, $9.00/kg. 500 g is 0.5 kg, so $4.50 divided by 0.5 = 9.00.
4Which is better value: 2 kg for $7.80 or 3 kg for $11.40?L1
A 2 kg for $7.80
B They are equal value
C Cannot compare, the pack sizes differ
D 3 kg for $11.40
D, 3 kg for $11.40. The unit prices are $3.90/kg and $3.80/kg.
5A tap fills 18 L in 3 minutes. Its flow rate is:L1
A $6$ L/min
B $54$ L/min
C $3$ L/min
D $15$ L/min
A, $6$ L/min. $18 \div 3 = 6$ L/min.
6At 12 L/min, how long to fill 96 L?L1
A $1152$ min
B $8$ min
C $12$ min
D $84$ min
B, $8$ min. $96 \div 12 = 8$ min.
7A car uses 32 L to travel 400 km. Fuel consumption is:L1
A $12.5$ L/100 km
B $0.08$ L/100 km
C $80$ L/100 km
D $8$ L/100 km
D, $8$ L/100 km. $32 \div 400 \times 100 = 8$.
8A car uses 7.5 L/100 km for a 360 km trip. Fuel used is:L1
A $48$ L
B $270$ L
C $27$ L
D $2700$ L
C, $27$ L. $7.5 \times 360 \div 100 = 27$.
9A worker earns $184 for 8 hours. Hourly rate is:L1
A $1472/h
B $23/h
C $8/h
D $176/h
B, $23/h. $184 divided by 8 = 23.
10If $\$1$ AUD = 0.65 USD, then $\$200$ AUD is:L1
A $130 USD
B $307.69 USD
C $265 USD
D $65 USD
A, $130 USD. $200 \times 0.65 = 130$.
11A runner covers 10 km in 50 min. Speed in km/h is:L1
A $20$ km/h
B $8.3$ km/h
C $0.2$ km/h
D $12$ km/h
D, $12$ km/h. 50 min is $5/6$ h, so $10 \div 5/6 = 12$.
12A recipe uses 300 g flour for 12 biscuits. Flour per biscuit is:L1
A $3600$ g
B $12$ g
C $25$ g
D $36$ g
C, $25$ g. $300 \div 12 = 25$.
13If 5 m of fabric costs $42.50, the cost per metre is:L1
A $8.50/m
B $212.50/m
C $5.00/m
D $47.50/m
A, $8.50/m. $42.50 divided by 5 = 8.50.
14At 75 km/h, the time to travel 150 km is:L1
A $0.5$ h
B $75$ h
C $2$ h
D $11250$ h
C, $2$ h. $150 \div 75 = 2$.
15A cyclist rides 18 km in 45 minutes. Average speed is:L1
A $40$ km/h
B $24$ km/h
C $0.4$ km/h
D $13.5$ km/h
B, $24$ km/h. 45 min is 0.75 h, so $18 \div 0.75 = 24$.
16Which unit is a rate?L1
A kilograms
B seconds
C square metres
D dollars per kilogram
D, dollars per kilogram. A rate compares two quantities measured in different units. Kilograms, seconds and square metres are each a single unit, so none of them is a rate.
17A machine makes 240 items in 6 hours. Production rate is:L1
A $1440$ items/h
B $6$ items/h
C $40$ items/h
D $34$ items/h
C, $40$ items/h. $240 \div 6 = 40$.
18At 40 items/h, how many items are made in 7.5 h?L1
A $300$
B $5.3$
C $47.5$
D $3000$
A, $300$. $40 \times 7.5 = 300$.
19A 1.25 L bottle costs $3.75. Cost per litre is:L1
A $4.69/L
B $3.00/L
C $1.25/L
D $2.50/L
B, $3.00/L. $3.75 divided by 1.25 = 3.00.
20A car travels at 100 km/h for 45 minutes. Distance is:L1
A $45$ km
B $4500$ km
C $133$ km
D $75$ km
D, $75$ km. 45 minutes is 0.75 h, so distance is 75 km.
21Fuel costs $1.90/L and a trip uses 26 L. Fuel cost is:L1
A $49.40
B $13.68
C $27.90
D $4.94
A, $49.40. $1.90 \times 26 = 49.40$.
22A printer prints 18 pages per minute. Time for 270 pages is:L1
A $4860$ min
B $18$ min
C $252$ min
D $15$ min
D, $15$ min. $270 \div 18 = 15$.
23Which is best value: 750 mL for $3.60 or 1 L for $4.40?L1
A 750 mL for $3.60
B They are equal value
C 1 L for $4.40
D Cannot compare, the volumes differ
C, 1 L for $4.40. 750 mL costs $4.80/L, so $4.40/L is better.
24A trip is 520 km and the car uses 6.5 L/100 km. Fuel used is:L1
A $80$ L
B $33.8$ L
C $338$ L
D $3380$ L
B, $33.8$ L. $6.5 \times 520 \div 100 = 33.8$.
25To compare best value, you should usually:L1
A convert to the same unit rate
B choose the largest package every time
C choose the lowest total price
D compare the package sizes only
A, convert to the same unit rate. Unit rates allow fair comparison.
Part B, Short Answer (separate practice)
0L1
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.
1L1
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.
2L1
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 $\$59.94$.
3L1
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.
4L1
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.
5L1
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) $\$4\,788$.
6L1
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.
7L1
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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