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 A die shows 6 on top. Opposite faces on a die add to 7. What number is underneath?
Show worked solution
1.
2 A number is multiplied by 6, then 12 is taken off, leaving 30. Write the result of adding the 12 back, and then the number itself.
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30 + 12 = 42, and 42 ÷ 6 = 7.
3 What is 9.1 − 2.6?
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6.5.
Level 2 · Core
4 A rectangle has a perimeter of 30 cm. One side is 9 cm. How long is the other side?
Show worked solution
30 − 18 = 12 for the two other sides, so each is 6 cm.
5 A number is divided by 4, then 2.6 is added, giving 9.1. Write the result of taking 2.6 off 9.1, and then the number itself.
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9.1 − 2.6 = 6.5; 6.5 × 4 = 26.
6 A gold medal is worth 5 points and a silver 3. How many points does a team with 2 golds and 4 silvers have?
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10 + 12 = 22 points.
Level 3 · Challenge
7 Three dice sit in a row showing 2, 5 and 3 on top. Opposite faces on a die add to 7, and the six faces of one die add to 21.1 The three faces underneath total 11.
2 The three dice carry 63 spots altogether.
3 The three faces underneath total 10.
Which statements are correct?
2 The three dice carry 63 spots altogether.
3 The three faces underneath total 10.
Which statements are correct?
Show worked solution
5 + 2 + 4 = 11 (1 ✓, 3 ✗). 3 × 21 = 63 (2 ✓). 1 and 2.
8 A gold medal is worth 5 points and a silver 3. A team has 4 golds and 2 silvers. Write its total points, and then how many silvers a team with 3 golds and 24 points has.
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20 + 6 = 26 points. For the Bees, 24 − 15 = 9, and 9 ÷ 3 = 3 silvers.
9 A rectangle has a perimeter of 34 cm and one side 12 cm. How many centimetres is the shorter side?
Show worked solution
17 − 12 = 5 cm.