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 $18 buys 6 pencils. How much do 10 pencils cost?
Show worked solution
$18 ÷ 6 = $3 each, so 10 cost $30.
2 Work out 16 × 25 by halving and doubling. Write the easier multiplication's first number, and the answer.
Show worked solution
16 ÷ 4 = 4 and 25 × 4 = 100, so it is 4 × 100 = 400.
3 A ratio of 3 : 5 has how many parts altogether?
Show worked solution
3 + 5 = 8 parts.
Level 2 · Core
4 What is 48 × 10 ÷ 16?
Show worked solution
48 ÷ 16 = 3, so it becomes 3 × 10 = 30.
5 $40 is shared in the ratio 3 : 5. Write the value of one part, and the smaller share.
Show worked solution
One part is $40 ÷ 8 = 5, so the smaller share is 3 × 5 = 15 dollars.
6 A recipe for 4 people uses 200 ml of milk. How many millilitres are needed for 6 people?
Show worked solution
200 ÷ 4 = 50 ml each, so 6 × 50 = 300 ml.
Level 3 · Challenge
7 A recipe for 4 servings uses 300 g of flour.1 One serving needs 75 g.
2 8 servings need 600 g.
3 10 servings need 3000 g.
Which statements are correct?
2 8 servings need 600 g.
3 10 servings need 3000 g.
Which statements are correct?
Show worked solution
300 ÷ 4 = 75 g per serving (1 ✓), so 8 servings need 8 × 75 = 600 g (2 ✓) and 10 need 750 g, not 3000 (3 ✗). 1 and 2.
8 $72 is shared in the ratio 4 : 5. Write the total number of parts, and the larger share in dollars.
Show worked solution
4 + 5 = 9 parts, one part is $72 ÷ 9 = $8, and the larger share is 5 × 8 = 40 dollars.
9 A machine makes 45 items in 15 minutes. How many items does it make in 40 minutes?
Show worked solution
45 ÷ 15 = 3 items a minute, so 40 × 3 = 120 items.