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 What fraction of this bar is shaded?
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4 out of 10 is 2/5.
2 Write 1/3 and 2/5 with the same bottom number, using fifteenths.
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1/3 = 5/15 and 2/5 = 6/15.
3 How many quarters are there in 4 whole pizzas?
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16.
Level 2 · Core
4 A third of a jug is poured out, and then half of what is left is poured out. What fraction of the jug remains?
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6 − 2 = 4 left, less half of 4 = 2, leaving 2 parts: 1/3.
5 Four pizzas are shared: Ana 1¼, Ben ¾, Cal ½. Write the number of quarters used and the number of quarters left.
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10 used and 16 − 10 = 6 left.
6 Green and yellow share a probability of 0.6, and green is twice as likely as yellow. What is the chance of green? Give it as a decimal.
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2 × 0.2 = 0.4.
Level 3 · Challenge
7 In this bar 2 of the 10 parts are red and 4 are blue.1 Red and blue together are 3/5 of the bar.
2 That is more than a half.
3 That is more than three quarters.
Which statements are correct?
2 That is more than a half.
3 That is more than three quarters.
Which statements are correct?
Show worked solution
6 of 10 is 3/5 (1 ✓), and 6 is more than 5, so more than half (2 ✓). Three quarters would need 7.5 parts (3 ✗). 1 and 2.
8 Two fifths of a cake is eaten, then half of what is left. Write the number of tenths eaten altogether, and the number of tenths remaining.
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4 + 3 = 7 tenths eaten, leaving 3 tenths.
9 The chances of four outcomes add to 1. Three of them are 0.3, 0.2 and 0.25. What is the fourth, as a decimal?
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0.3 + 0.2 + 0.25 = 0.75, so the fourth is 0.25.