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.
15 questions · official format, shuffled order
1 Six pens cost $8.40. How much do 11 pens cost at the same rate?
Show worked solution
$8.40 ÷ 6 = $1.40 each. 11 × $1.40 = $15.40.
2 Cordial is mixed with water in the ratio 1 : 4. How much cordial is in 2.5 litres of the drink?
Show worked solution
2 500 ÷ 5 = 500 mL of cordial (and 2 000 mL of water).
3 Ana and Ben share some money in the ratio 3 : 5. Ben receives $14 more than Ana. How much money was shared altogether?
Show worked solution
2 parts = $14, so 1 part = $7. There are 8 parts altogether: 8 × $7 = $56.
4 A car uses 6 litres of petrol for every 100 km. How many litres does it use on a 350 km trip?
Show worked solution
3.5 × 6 = 21 L.
5 Which of these is the best buy — the lowest price per gram?
Show worked solution
Per 100 g: 80c, 75c, 70c, 75c, 80c. 1 kg for $7.00 is cheapest.
6 A recipe uses flour and sugar in the ratio 5 : 2.1 With 350 g of flour you need 140 g of sugar.
2 Sugar is two sevenths of the mixture.
3 With 100 g of sugar you need 200 g of flour.
Which statements are correct?
2 Sugar is two sevenths of the mixture.
3 With 100 g of sugar you need 200 g of flour.
Which statements are correct?
Show worked solution
350 ÷ 5 = 70 per part, so sugar is 140 g (1 ✓). 2 parts out of 7 (2 ✓). 100 g of sugar is 50 per part, so flour is 5 × 50 = 250 g, not 200 (3 ✗). 1 and 2.
7 A cyclist rides 36 km in 1 hour 30 minutes. At the same speed, how far does she ride in 50 minutes?
Show worked solution
36 ÷ 9 = 4 km every 10 minutes. 5 × 4 = 20 km in 50 minutes.
8 Write the ratio 1.5 m to 60 cm in its simplest form.
Show worked solution
150 : 60, divide both by 30: 5 : 2.
9 Four painters, working at the same rate, take 6 days to paint a hall. How long would 3 painters take?
Show worked solution
The job is 4 × 6 = 24 painter-days. With 3 painters: 24 ÷ 3 = 8 days.
10 A tap fills 18 litres in 4 minutes. How long does it take to fill a 63 litre tank?
Show worked solution
18 ÷ 4 = 4.5 L per minute. 63 ÷ 4.5 = 14 min.
11 A jar of 60 marbles has red, white and blue marbles in the ratio 2 : 3 : 7. How many more blue marbles than red are there?
Show worked solution
One part is 5 marbles. Blue 35, red 10: 35 − 10 = 25.
12 A printer prints 45 pages in 3 minutes.1 It prints 15 pages a minute.
2 It prints 300 pages in 20 minutes.
3 It can print 1 000 pages in less than an hour.
Which statements are correct?
2 It prints 300 pages in 20 minutes.
3 It can print 1 000 pages in less than an hour.
Which statements are correct?
Show worked solution
45 ÷ 3 = 15 a minute (1 ✓). 20 × 15 = 300 (2 ✓). 60 × 15 = 900, which is less than 1 000 (3 ✗). 1 and 2.
13 One dollar buys 0.6 euros. How many dollars are needed to buy 90 euros?
Show worked solution
$10 buys 6 euros, so 90 euros needs 15 lots of $10: $150.
14 A pack of 12 batteries costs $9.60. Single batteries cost 95 cents each. How many cents cheaper per battery is the pack?
Show worked solution
$9.60 ÷ 12 = 80 c each. 95 − 80 = 15 cents cheaper.
15 A class of 27 students has boys and girls in the ratio 4 : 5. Three more boys join the class. What is the new ratio of boys to girls?
Show worked solution
One part is 3, so 12 boys and 15 girls. After three join: 15 boys and 15 girls, 1 : 1.