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 is 8.4 − 2.65?
Show worked solution
8.40 − 2.65 = 5.75.
2 58 pencils are packed 8 to a packet. Write how many packets are full, and how many pencils are left over.
Show worked solution
7 full packets, with 2 left over.
3 What is 4 356 + 2 700?
Show worked solution
7 056.
Level 2 · Core
4 Three pencils at 45c and one rubber at 65c cost the same as two pens. What does one pen cost, in cents?
Show worked solution
135 + 65 = 200c for two pens, so one pen is 100 cents.
5 You buy three pens at 85c each and pay with $5. Write the cost of the pens in cents, and the change in cents.
Show worked solution
3 × 85 = 255c; 500 − 255 = 245c.
6 $15 buys 3 toy cars. How many toy cars can be bought for $45?
Show worked solution
9 cars.
Level 3 · Challenge
7 Digit cards 3, 6 and 8 are used to make 3-digit numbers, using each card once.1 The largest number that can be made is 863.
2 The largest even number is 863.
3 The largest even number is 836.
Which statements are correct?
2 The largest even number is 863.
3 The largest even number is 836.
Which statements are correct?
Show worked solution
Biggest digit first gives 863 (1 ✓), but 863 ends in 3, so it is odd (2 ✗). For the largest even number the ones place must be 6 or 8; using the smaller even digit keeps the 8 at the front, giving 836 (3 ✓). 1 and 3.
8 A car travels 240 km and uses 20 litres of petrol. Write how many kilometres it travels on one litre, and how far it would go on 35 litres.
Show worked solution
240 ÷ 20 = 12 km per litre; 12 × 35 = 420 km.
9 A square is divided into a 3 by 4 grid of small squares, and 5 of them are shaded. How many small squares are not shaded?
Show worked solution
12 − 5 = 7.