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 fraction is equivalent to the shaded part?
Show worked solution
2/6 = 1/3.
2 Fill in the missing numbers.
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1/2: bottom × 4, so top × 4 = 4. 3/4: top × 3, so bottom × 3 = 12.
3 How many twelfths are equal to 3/4?
Show worked solution
3/4 = 9/12.
Level 2 · Core
4 Which mark is at 2/3?
Show worked solution
The marks sit at 0.5, 0.6, 0.667, 0.75, 0.9. 2/3 is the third.
5 Simplify 18/24.
Show worked solution
18 ÷ 6 = 3 and 24 ÷ 6 = 4: 3/4.
6 3/5 = ?/40. What is the missing numerator?
Show worked solution
3 × 8 = 24: 3/5 = 24/40.
Level 3 · Challenge
7 Compare 3/8 and 2/5.1 3/8 is less than 2/5.
2 3/8 = 15/40.
3 2/5 = 15/40.
Which statements are correct?
2 3/8 = 15/40.
3 2/5 = 15/40.
Which statements are correct?
Show worked solution
3/8 = 15/40 (2 ✓) and 2/5 = 16/40 (3 ✗), so 3/8 < 2/5 (1 ✓). 1 and 2.
8 Rename 3/8 and 2/5 as fortieths.
Show worked solution
3/8 = 15/40 (× 5). 2/5 = 16/40 (× 8).
9 A strip is divided into 36 equal cells. How many cells is 5/6 of the strip?
Show worked solution
5/6 = 30/36, so 30 cells.