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 remainder when 23 is divided by 4?
Show worked solution
23 = 4 × 5 + 3. Remainder 3.
2 Work out 45 ÷ 6 with a remainder.
Show worked solution
45 ÷ 6 = 7 remainder 3, because 6 × 7 = 42 and 42 + 3 = 45.
3 58 pencils are put into packs of 8. How many full packs are there?
Show worked solution
58 ÷ 8 = 7 r 2. 7 full packs (2 pencils left over).
Level 2 · Core
4 230 people are seated at tables of 8. How many tables are needed so that everyone has a seat?
Show worked solution
28 full tables seat 224; the other 6 people need one more: 29 tables.
5 Complete the number sentence for 200 ÷ 12.
Show worked solution
200 = 12 × 16 + 8.
6 How many full lengths of 15 cm can be cut from a 1000 cm strip?
Show worked solution
15 × 66 = 990, leaving 10 cm which is not a full length. 66 lengths.
Level 3 · Challenge
7 400 students travel in buses that hold 45 each.1 8 buses are needed.
2 9 buses are needed.
3 The last bus carries 40 students.
Which statements are correct?
2 9 buses are needed.
3 The last bus carries 40 students.
Which statements are correct?
Show worked solution
8 × 45 = 360 leaves 40 students, who need a ninth bus (1 ✗, 2 ✓); that last bus carries the remainder, 40 (3 ✓). 2 and 3.
8 A year has 365 days. How many whole weeks is that, and how many days are left over?
Show worked solution
365 ÷ 7 = 52 remainder 1: 52 weeks and 1 day.
9 A number divided by 9 gives 23 remainder 4. What is the number?
Show worked solution
9 × 23 = 207, and 207 + 4 = 211.