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 is the value of 4 × 6 + 2?
Show worked solution
4 × 6 = 24, plus 2 = 26.
2 23 pencils are put into packs of 5. Complete the sentence.
Show worked solution
23 = 5 × 4 + 3.
3 What is the value of 10 × 7 + 6?
Show worked solution
70 + 6 = 76.
Level 2 · Core
4 What number does □ stand for in 45 + □ = 60 − 3?
Show worked solution
60 − 3 = 57, so 45 + □ = 57 and □ = 12.
5 Write 56 as a multiple of 9 plus a remainder smaller than 9.
Show worked solution
56 = 9 × 6 + 2.
6 What number does □ stand for in □ × 7 − 5 = 51?
Show worked solution
□ × 7 = 56, so □ = 8.
Level 3 · Challenge
7 Three statements are made about 17 × 6.1 17 × 6 = 10 × 6 + 7 × 6.
2 17 × 6 = 20 × 6 − 3 × 6.
3 17 × 6 = 17 × 5 + 17.
Which statements are correct?
2 17 × 6 = 20 × 6 − 3 × 6.
3 17 × 6 = 17 × 5 + 17.
Which statements are correct?
Show worked solution
60 + 42 = 102 (1 ✓). 120 − 18 = 102 (2 ✓). 85 + 17 = 102 (3 ✓). 1, 2 and 3.
8 Complete: 38 × 4 = 40 × 4 − □ × 4, and give the value.
Show worked solution
38 = 40 − 2, so □ = 2: 160 − 8 = 152.
9 In △ + △ + 7 = 31, what number is △?
Show worked solution
△ + △ = 24, so △ = 12.