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 Write 7/4 as a mixed number.
Show worked solution
7/4 = 4/4 + 3/4 = 1 3/4.
2 Write 2 1/3 as thirds.
Show worked solution
2 × 3 + 1 = 7: 7/3.
3 How many fifths are there in 3 whole pizzas?
Show worked solution
3 × 5 = 15 fifths.
Level 2 · Core
4 What is 1 1/2 + 2 3/4?
Show worked solution
3 + 5/4 = 3 + 1 1/4 = 4 1/4.
5 Three cakes are cut into quarters. Two people eat 1 1/4 and 3/4. Give the quarters eaten and the quarters left.
Show worked solution
5/4 + 3/4 = 8/4 eaten. 12/4 − 8/4 = 4/4 left — one whole cake.
6 2 2/5 + 1 4/5 = ?/5. What is the numerator?
Show worked solution
12/5 + 9/5 = 21/5 (which is 4 1/5).
Level 3 · Challenge
7 Four pizzas. Amina eats 4/5, Fred eats 1 1/5, Sally eats 3/5, and Quoc eats the rest.1 13/5 of the pizza was eaten by Amina, Fred and Sally.
2 Quoc gets 1 2/5 pizzas.
3 Quoc eats 2/5 more than Fred.
Which statements are correct?
2 Quoc gets 1 2/5 pizzas.
3 Quoc eats 2/5 more than Fred.
Which statements are correct?
Show worked solution
4 + 6 + 3 = 13 fifths (1 ✓). 20 − 13 = 7 fifths = 1 2/5 (2 ✓). 7/5 − 6/5 = 1/5, not 2/5 (3 ✗). 1 and 2.
8 Quoc ate 7/5 of a pizza and Amina ate 4/5. By how many fifths did Quoc eat more? And write Quoc's share as a mixed number.
Show worked solution
7 − 4 = 3 fifths more. 7/5 = 1 and 2/5.
9 How many fifths is 2 3/5?
Show worked solution
2 × 5 + 3 = 13: 13/5.