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 Mia spends $4.50 on a drink, then gives half of what is left to Ben. She then finds $2 and now has $9.75. How much did she start with?
Show worked solution
$9.75 − $2 = $7.75. Before giving half away she had 2 × $7.75 = $15.50. Before the drink: $15.50 + $4.50 = $20.
2 Which is the best estimate for 48 612 + 27 398 − 9 850?
Show worked solution
49 000 + 27 000 − 10 000 = 66 000. (The exact answer is 66 160.)
3 One digit in this subtraction is hidden. What is it?
Show worked solution
2 176 + 2 847 = 5 023, so the hidden digit is 2.
4 Three parcels are packed into a box that may hold at most 6 kg. How much more mass can still be added?
Show worked solution
2.750 + 1.900 + 0.845 = 5.495 kg. 6.000 − 5.495 = 0.505 kg.
5 To work out 7 998 + 4 567, Ava does 8 000 + 4 567 and then subtracts 2.
1 Ava's method gives the right answer.
2 7 998 + 4 567 = 12 565.
3 8 000 + 4 567 − 2 = 12 567.
Which statements are correct?
1 Ava's method gives the right answer.
2 7 998 + 4 567 = 12 565.
3 8 000 + 4 567 − 2 = 12 567.
Which statements are correct?
Show worked solution
Rounding 7 998 up to 8 000 adds 2, so subtracting 2 at the end is correct (1 ✓). 8 000 + 4 567 = 12 567, minus 2 is 12 565 (2 ✓), so statement 3 has forgotten the subtraction (3 ✗). 1 and 2.
6 Four friends compare their money. Ana has $12.40. Ben has $3.15 more than Ana. Cal has twice as much as Ben. Dev has $5 less than Cal. How much do the four have altogether?
Show worked solution
Ben $15.55, Cal $31.10, Dev $26.10. Total: 12.40 + 15.55 + 31.10 + 26.10 = $85.15.
7 A city's population was 1 996 480 in 2010 and 2 103 275 in 2020. By how much did it grow?
Show worked solution
1 996 480 to 2 000 000 is 3 520; 2 000 000 to 2 103 275 is 103 275. 3 520 + 103 275 = 106 795.
8 Which calculation has the same answer as 6 435 − 2 999?
Show worked solution
2 999 is 1 less than 3 000, so subtracting 3 000 removes 1 too much and you add it back: 6 435 − 3 000 + 1 = 3 436.
9 A number is doubled, then 1 500 is subtracted, then the result is halved. The answer is 4 250. What was the number?
Show worked solution
4 250 × 2 = 8 500. 8 500 + 1 500 = 10 000. 10 000 ÷ 2 = 5 000.
10 Liam buys three pens and a ruler and pays with a $20 note. How much change does he get?
Show worked solution
3 × $2.35 = $7.05. $7.05 + $1.80 = $8.85. $20 − $8.85 = $11.15.
11 Two numbers add to 10 000. One of them is 2 468 more than the other. What is the smaller number?
Show worked solution
10 000 − 2 468 = 7 532, which is two equal shares, so the smaller number is 7 532 ÷ 2 = 3 766. (The larger is 6 234.)
12 How much less than half a million is 123 456 + 98 765?
Show worked solution
123 456 + 98 765 = 222 221. 500 000 − 222 221 = 277 779.
13 A ribbon is 4.5 m long. Three pieces are cut from it. How much ribbon is left?
Show worked solution
1.250 + 0.800 + 1.375 = 3.425 m cut off. 4.500 − 3.425 = 1.075 m.
14 Kai adds 3 468 and 2 975 and gets 6 443.1 Kai's answer is correct.
2 An estimate made by rounding both numbers to the nearest thousand is 6 000.
3 The correct answer is a multiple of 10.
Which statements are correct?
2 An estimate made by rounding both numbers to the nearest thousand is 6 000.
3 The correct answer is a multiple of 10.
Which statements are correct?
Show worked solution
8 + 5 = 13, write 3 carry 1; 6 + 7 + 1 = 14; 4 + 9 + 1 = 14; 3 + 2 + 1 = 6 — so 6 443 is right (1 ✓). 3 000 + 3 000 = 6 000 (2 ✓). 6 443 does not end in 0 (3 ✗). 1 and 2.
15 Ticket sales over three days totalled 9 200. How many tickets were sold on Wednesday?
Show worked solution
2 785 + 3 196 = 5 981. 9 200 − 5 981 = 3 219.