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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 The labels on a scale are 20 apart with 5 gaps between each pair. What is one mark worth?
Show worked solution
20 ÷ 5 = 4.
2 Look at this thermometer, where each small mark is 2 degrees. Write what one mark is worth, and the temperature shown.
Show worked solution
Each mark is 2. The arrow is one mark above 20, so the reading is 22.
3 A temperature rises 1 degree every 15 minutes. How many minutes does a rise of 4 degrees take?
Show worked solution
4 × 15 = 60 minutes.
Level 2 · Core
4 A tap fills a tank at 3 litres every 2 minutes. How long does it take to put in 21 litres?
Show worked solution
21 ÷ 3 = 7 lots, and each takes 2 minutes, so 14 minutes.
5 At 9:00 am a thermometer reads 14 degrees and rises 1 degree every 30 minutes. Write the rise needed to reach 17 degrees, and the number of minutes that takes.
Show worked solution
17 − 14 = 3 degrees, and 3 × 30 = 90 minutes, so it reaches 17 at 10:30 am.
6 A rate is given as 4 degrees every hour. How many minutes does 1 degree take?
Show worked solution
60 ÷ 4 = 15 minutes.
Level 3 · Challenge
7 A temperature rises at 2 degrees every 30 minutes, starting from 11 degrees at 8:00 am.1 The rate is 1 degree every 15 minutes.
2 It reaches 17 degrees at 9:30 am.
3 It reaches 17 degrees at 11:00 am.
Which statements are correct?
2 It reaches 17 degrees at 9:30 am.
3 It reaches 17 degrees at 11:00 am.
Which statements are correct?
Show worked solution
Halving gives 1 degree per 15 minutes (1 ✓). The rise needed is 17 − 11 = 6 degrees, taking 6 × 15 = 90 minutes, so 8:00 + 1 h 30 = 9:30 am (2 ✓, 3 ✗). 1 and 2.
8 A pump moves 5 litres every 4 minutes. Write how many litres it moves in 20 minutes, and how many minutes 30 litres takes.
Show worked solution
20 ÷ 4 = 5 lots, so 5 × 5 = 25 litres. And 30 ÷ 5 = 6 lots, so 6 × 4 = 24 minutes.
9 A temperature rises at 2 degrees per hour. How many minutes does a rise of 5 degrees take?
Show worked solution
1 degree takes 60 ÷ 2 = 30 minutes, so 5 degrees take 5 × 30 = 150 minutes (2 hours 30).