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 A pizza is cut into 8 equal slices and you eat 4 of them. What fraction of the pizza did you eat? Write it in its simplest form.
Show worked solution
You ate 4/8, which is the same as 1/2 of the pizza.
2 What is half of 46?
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Half of 40 is 20 and half of 6 is 3, so half of 46 is 23.
3 What is 1/4 of 20?
Show worked solution
20 ÷ 4 = 5.
Level 2 · Core
4 Which is larger: 3/4 or 5/8?
Show worked solution
3/4 is the same as 6/8, and 6/8 is more than 5/8, so 3/4 is larger.
5 A pizza has 8 slices and you eat 3/8 of it. How many slices are left?
Show worked solution
3/8 of 8 slices is 3 slices, so 8 − 3 = 5 slices are left.
6 What is 1/8 of 40?
Show worked solution
40 ÷ 8 = 5.
Level 3 · Challenge
7 Half of a number is 18. What is a quarter of the same number?
Show worked solution
The number is 36, and a quarter of 36 is 9. (A quarter is half of a half, so half of 18 is 9.)
8 Tom ate 1/4 of a cake and Ana ate 3/8 of the same cake. What fraction of the cake is left?
Show worked solution
1/4 is 2/8, so together they ate 2/8 + 3/8 = 5/8. That leaves 8/8 − 5/8 = 3/8.
9 A ribbon is cut in half, each half is cut in half again, and then one of those pieces is cut in half once more. What fraction of the whole ribbon is the smallest piece?
Show worked solution
After the first cut a piece is 1/2, after the second 1/4, and after the third 1/8 of the whole ribbon.
⭐ Bonus Challenge · only if the rest felt easy
10 A cake is cut into 8 equal slices. You eat 1/4 of the cake and your friend eats 3/8 of it. How many slices are LEFT?
Show worked solution
1/4 of 8 slices = 2 slices. 3/8 of 8 slices = 3 slices. Eaten: 2 + 3 = 5, so 8 − 5 = 3 slices are left.