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 23 × 14?
Show worked solution
200 + 80 + 30 + 12 = 322.
2 Work out 45 × 32 in two rows.
Show worked solution
45 × 2 = 90; 45 × 30 = 1 350; total 1 440.
3 What is 312 × 3?
Show worked solution
312 × 3 = 936.
Level 2 · Core
4 What is 347 × 25?
Show worked solution
347 × 5 = 1 735; 347 × 20 = 6 940; total 8 675.
5 A crate holds 36 bottles. Estimate how many bottles are in 14 crates by rounding 36 to 40 and 14 to 10, then work out the exact number.
Show worked solution
Estimate: 40 × 10 = 400. Exact: 36 × 14 = 144 + 360 = 504.
6 What is 218 × 34?
Show worked solution
218 × 4 = 872; 218 × 30 = 6 540; total 7 412.
Level 3 · Challenge
7 Sam works out 406 × 27 and gets 10 962.1 406 × 7 = 2 842.
2 406 × 20 = 8 120.
3 The estimate 400 × 30 = 12 000 shows that 10 962 must be wrong.
Which statements are correct?
2 406 × 20 = 8 120.
3 The estimate 400 × 30 = 12 000 shows that 10 962 must be wrong.
Which statements are correct?
Show worked solution
406 × 7 = 2 842 (1 ✓). 406 × 20 = 8 120 (2 ✓). 10 962 is the same size as 12 000 — five digits, close by — so the estimate supports it, and in fact it is exactly right (3 ✗). 1 and 2.
8 A hall has 28 rows of 36 seats on the main floor and 15 rows of 42 seats in the balcony. Give the seats on the main floor, in the balcony, and in total.
Show worked solution
28 × 36 = 1 008. 15 × 42 = 630. Total 1 638.
9 A number multiplied by 24 gives 6 072. What is the number?
Show worked solution
24 × 250 = 6 000, and 6 072 − 6 000 = 72 = 3 × 24, so the number is 253.