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 This scale is labelled 0 and 100. What number does the mark with the ? show?
Show worked solution
Four gaps, so each is 25. The ? is the third mark: 3 × 25 = 75.
2 A thermometer is labelled 0, 10, 20, 30. Between each pair of labels there are 5 small gaps. What is one small gap worth, in degrees?
Show worked solution
10 ÷ 5 = 2 degrees per small gap.
3 A map scale says 1 cm represents 10 m. Two shops are 7 cm apart on the map. How far apart are they in real life, in metres?
Show worked solution
7 × 10 = 70 m.
Level 2 · Core
4 A map scale says 1 cm represents 10 m. A ruler shows two gates are 125 mm apart on the map. How far apart are they in real life, in metres?
Show worked solution
125 mm = 12.5 cm, and 12.5 × 10 = 125 m. (With this scale the number of millimetres equals the number of metres.)
5 How much water is in this jug, in mL?
Show worked solution
Each gap is 60 ÷ 4 = 15 mL. Third mark: 3 × 15 = 45 mL.
6 A café aims to sell 150 drinks today. The graph shows sales so far. How many more drinks must they sell to reach the target?
Show worked solution
Tea 35, coffee 45, juice 20, water 30: total 130. 150 − 130 = 20 more.
Level 3 · Challenge
7 A column graph has no numbers on its scale. Ravi's column is 3 gridlines tall and stands for 18 goals. Sam's column is 5 gridlines tall. How many goals did Sam score?
Show worked solution
One gridline = 18 ÷ 3 = 6 goals. Sam: 5 × 6 = 30.
8 A thermometer is labelled every 10 degrees with 5 small gaps between labels. At 6 am it read 14 °C; by noon it read 26 °C. How many small gaps did the red line rise?
Show worked solution
Rise = 26 − 14 = 12 °C. Each gap is 2 °C, so 12 ÷ 2 = 6 gaps.
9 On a map with scale 1 cm = 25 m, a ruler shows two doors 64 mm apart. How far apart are the doors in real life, in metres?
Show worked solution
6 cm = 150 m. 4 mm is 0.4 cm, and 0.4 × 25 = 10 m. Total 160 m.