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 Which of these is less than 1/2?
Show worked solution
2/5: 4 < 5, so under a half. 2/5. The others: 6 > 5, 10 > 8, 8 > 7.
2 On a number line marked in tenths, where do 2/5 and 1/2 sit?
Show worked solution
2/5 = 4/10; 1/2 = 5/10. So 2/5 is just left of a half.
3 How many twentieths is 3/4?
Show worked solution
3/4 = 15/20.
Level 2 · Core
4 Rio ate 3/8 of a pizza and Sam ate 1/4. How much did they eat altogether?
Show worked solution
3/8 + 2/8 = 5/8.
5 Write 3/8 and 1/4 as eighths.
Show worked solution
3/8 = 3/8 already. 1/4 = 2/8.
6 3/5 + 1/5 = ?/10. What is the missing numerator?
Show worked solution
4/5 = 8/10.
Level 3 · Challenge
7 Andy ate 1/5 of a bar, Bella ate 2/5, and Carlo ate the rest.1 Carlo ate 2/5 of the bar.
2 Bella ate more than Andy.
3 All three of them ate more than a quarter each.
Which statements are correct?
2 Bella ate more than Andy.
3 All three of them ate more than a quarter each.
Which statements are correct?
Show worked solution
5/5 − 3/5 = 2/5 for Carlo (1 ✓). 2/5 > 1/5 (2 ✓). Andy's 1/5 = 4/20 is under 1/4 = 5/20 (3 ✗). 1 and 2.
8 Carlo ate 2/5 of the bar. Compare that with a half, in tenths.
Show worked solution
2/5 = 4/10, 1/2 = 5/10, so Carlo was 1/10 short of half.
9 1/5 + 2/5 + ?/5 = 1. What is the missing numerator?
Show worked solution
5 − 1 − 2 = 2.