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 Three boxes are weighed two at a time. What is the mass of box Q?
Show worked solution
27 + 35 + 30 = 92, so all three together are 46 kg. P + R = 30, so Q = 46 − 30 = 16 kg.
2 A box measures 15 cm by 12 cm by 8 cm on the inside. How many litres of water does it hold?
Show worked solution
15 × 12 × 8 = 1 440 cm³ = 1 440 mL = 1.44 L.
3 This jug is marked every 50 mL. After 275 mL is poured out, how much is left?
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The jug holds 650 mL. 650 − 275 = 375 mL.
4 A 1.2 L jug is full. 350 mL is poured into glass A and 275 mL into glass B. Then all of glass A is poured back into the jug. How much is in the jug now?
Show worked solution
1 200 − 350 − 275 + 350 = 925 mL. (Only glass B's 275 mL has really left the jug.)
5 A bowl of flour sits on this scale. The empty bowl weighs 450 g, and the recipe needs 3 kg of flour. How many more grams of flour are needed?
Show worked solution
The scale reads 3 250 g. 3 250 − 450 = 2 800 g of flour, and 3 000 − 2 800 = 200 g more.
6 A truck may carry at most 4.5 tonnes. It is loaded with 38 crates of 95 kg each. How many kilograms under the limit is the load?
Show worked solution
38 × 95 = 3 800 − 190 = 3 610 kg. 4 500 − 3 610 = 890 kg under.
7 A box is 10 cm long, 7 cm wide and 4 cm high.1 Its volume is 280 cm³.
2 It holds 2.8 litres.
3 Doubling its height would double its volume.
Which statements are correct?
2 It holds 2.8 litres.
3 Doubling its height would double its volume.
Which statements are correct?
Show worked solution
10 × 7 × 4 = 280 (1 ✓). 280 cm³ is 280 mL = 0.28 L, not 2.8 L (2 ✗). 10 × 7 × 8 = 560, double (3 ✓). 1 and 3.
8 Three parcels weigh 1.25 kg, 980 g and 0.8 kg. What is their total mass in grams?
Show worked solution
1 250 + 980 + 800 = 3 030 g.
9 How many cubes of side 2 cm fit exactly into a box 12 cm long, 8 cm wide and 6 cm high?
Show worked solution
6 × 4 × 3 = 72 cubes. (576 is the volume in cm³, which would be right for 1 cm cubes.)
10 Three apples balance two pears. One pear weighs 150 g. What does one apple weigh?
Show worked solution
Two pears: 2 × 150 = 300 g. Three apples weigh 300 g, so one apple is 300 ÷ 3 = 100 g.
11 Five identical bags of rice sit on this scale, which is marked every 100 g. What is the mass of one bag?
Show worked solution
Halfway between 1 400 and 1 500 is 1 450 g. 1 450 ÷ 5 = 290 g.
12 A tap pours 250 mL every 4 seconds. How long does it take to fill a 3 L bucket?
Show worked solution
3 000 ÷ 250 = 12 lots, and 12 × 4 = 48 s.
13 A 900 mL bottle is two thirds full of juice. Ana drinks 150 mL, then tops it up with 350 mL of water. How much more liquid could the bottle now hold?
Show worked solution
⅔ of 900 = 600 mL. 600 − 150 + 350 = 800 mL. 900 − 800 = 100 mL of space left.
14 Two boxes weigh 14.6 kg together. One is 2.4 kg heavier than the other. What is the mass of the lighter box?
Show worked solution
14.6 − 2.4 = 12.2 kg, which is two lighter boxes. 12.2 ÷ 2 = 6.1 kg (the heavier is 8.5 kg).
15 A swimming pool holds 25 kilolitres.
1 That is 25 000 litres.
2 That is 2.5 cubic metres.
3 That is 25 000 000 millilitres.
Which statements are correct?
1 That is 25 000 litres.
2 That is 2.5 cubic metres.
3 That is 25 000 000 millilitres.
Which statements are correct?
Show worked solution
25 × 1 000 = 25 000 L (1 ✓). 1 kL is one cubic metre, so 25 kL is 25 m³, not 2.5 (2 ✗). 25 000 × 1 000 = 25 000 000 mL (3 ✓). 1 and 3.