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Rates & Unit Rates

Quiz · Maths · Y8 Ratios & Rates · Year 8
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

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Level 1 · Warm-up

1 A worker earns $126 for 6 hours. Hourly rate?
Show worked solution
126 ÷ 6 = $21/h.
2 Speed: 150 km in 2 hours?
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150 ÷ 2 = 75 km/h.
3 Distance: 3 hours at 65 km/h?
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65 × 3 = 195 km.

Level 2 · Core

4 Better buy: 400 g for $5.20 or 1 kg for $12.50? (type 400g or 1kg)
Show worked solution
$13/kg vs $12.50/kg → 1 kg.
5 Time: 270 km at 90 km/h?
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270 ÷ 90 = 3 h.
6 A cyclist rides 12 km in 30 minutes. Speed in km/h?
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×2 → 24 km/h.

Level 3 · Challenge

7 A car uses 6.5 L/100 km. Fuel for a 780 km trip?
Show worked solution
7.8 × 6.5 = 50.7 L.
8 Walk 4 km at 4 km/h then 4 km at 2 km/h. Average speed in km/h?
Show worked solution
1 h + 2 h → 8 ÷ 3 = 2.67 km/h (not 3!).
9 A pump fills 45 L in 2.5 minutes; a second fills 100 L in 5 minutes. Which is faster? (first/second)
Show worked solution
18 L/min vs 20 L/min → the second.