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 What number does □ stand for in □ + 28 = 50?
Show worked solution
50 − 28 = 22.
2 Solve both sentences.
Show worked solution
54 ÷ 6 = 9. 25 + 19 = 44.
3 What number does □ stand for in □ ÷ 7 = 9?
Show worked solution
9 × 7 = 63.
Level 2 · Core
4 What number does □ stand for in 48 ÷ □ = 4 + 2?
Show worked solution
4 + 2 = 6, so 48 ÷ □ = 6 and □ = 48 ÷ 6 = 8.
5 Solve 5 × □ − 7 = 38 in two steps.
Show worked solution
38 + 7 = 45, so 5 × □ = 45 and □ = 9.
6 What number does □ stand for in 4 × □ = 3 × 12 + 8?
Show worked solution
3 × 12 + 8 = 44, so 4 × □ = 44 and □ = 11.
Level 3 · Challenge
7 Three statements are made about 2 × □ + 9 = □ + 20.1 □ = 11.
2 When □ is correct, both sides equal 31.
3 □ = 29.
Which statements are correct?
2 When □ is correct, both sides equal 31.
3 □ = 29.
Which statements are correct?
Show worked solution
Remove a box from each side: □ + 9 = 20, so □ = 11 (1 ✓, 3 ✗). Left: 22 + 9 = 31; right: 11 + 20 = 31 (2 ✓). 1 and 2.
8 7 × □ = 84 and □ + △ = 30. Find □ and △.
Show worked solution
□ = 84 ÷ 7 = 12. Then 12 + △ = 30, so △ = 18.
9 What number does △ stand for in △ + △ + △ = 96 − 12?
Show worked solution
96 − 12 = 84, and 84 ÷ 3 = 28.