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 Work out 1/2 ÷ 1/6.
Show worked solution
1/2 × 6/1 = 6/2 = 3, and three sixths do make one half.
2 Write the reciprocal of 2/7 (as a fraction).
Show worked solution
7/2, because 2/7 × 7/2 = 14/14 = 1.
3 Work out 3/4 ÷ 1/8.
Show worked solution
3/4 × 8/1 = 24/4 = 6.
Level 2 · Core
4 Work out 2/3 ÷ 4/5, giving your answer in simplest form.
Show worked solution
2/3 × 5/4 = 10/12 = 5/6.
5 Work out 3/8 ÷ 3/4, giving your answer in simplest form.
Show worked solution
3/8 × 4/3 = 12/24 = 1/2.
6 Work out 2/5 ÷ 4 (as a fraction).
Show worked solution
2/5 × 1/4 = 2/20 = 1/10.
Level 3 · Challenge
7 Work out 5/6 ÷ 2/3.
Show worked solution
5/6 × 3/2 = 15/12 = 5/4 = 1 and 1/4.
8 Work out 2 and 1/2, divided by 1/2.
Show worked solution
2 and 1/2 is 5/2, so 5/2 × 2/1 = 10/2 = 5.
9 A ribbon 9/10 of a metre long is cut into pieces each 3/10 of a metre long. How many pieces are there?
Show worked solution
9/10 ÷ 3/10 = 9/10 × 10/3 = 90/30 = 3 pieces.