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 Round 63 749 to the nearest thousand.
Show worked solution
The digit to the right of the thousands is 7, so the thousands go up: 64 000.
2 Round 2 380 000 to the nearest million, and to the nearest hundred thousand.
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Nearest million: the 3 stays, so 2 000 000. Nearest hundred thousand: the 8 pushes the 3 up to 4, so 2 400 000.
3 Round 39 600 to the nearest thousand.
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39 thousands plus one is 40 thousands: 40 000.
Level 2 · Core
4 Which of these numbers does not round to 500 000 when rounded to the nearest hundred thousand?
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550 000 has a 5 in the ten-thousands, so it rounds up to 600 000. All the others land on 500 000 — 550 000 is the odd one out.
5 Ana rounds 7 460 000 to the nearest million. Ben rounds it to the nearest hundred thousand. Give both answers.
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Ana: the 4 stays, 7 000 000. Ben: the 6 sends the 4 up to 5, 7 500 000.
6 When 852 700 is rounded to the nearest ten thousand, by how much does it change?
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852 700 → 850 000 (the 2 stays). It moved 852 700 − 850 000 = 2700.
Level 3 · Challenge
7 A number is rounded to the nearest thousand and the answer is 46 000. Three statements are made.1 The number could be 45 500.
2 The number could be 46 500.
3 The number must be less than 46 500.
Which statements are correct?
2 The number could be 46 500.
3 The number must be less than 46 500.
Which statements are correct?
Show worked solution
Numbers that round to 46 000 run from 45 500 (halfway, goes up) to 46 499. So 45 500 is possible (1 ✓), 46 500 rounds to 47 000 (2 ✗), and the number must be below 46 500 (3 ✓). 1 and 3.
8 Round 24 499 and 24 501 to the nearest thousand, and give the distance each one moved.
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24 499 → 24 000, a move of 499. 24 501 → 25 000, a move of 499. Different directions, the same distance: direction is not distance.
9 A number rounded to the nearest hundred thousand is 800 000. The same number rounded to the nearest ten thousand is 760 000. What is the smallest the number could be?
Show worked solution
Rounding to 760 000 needs a number from 755 000 to 764 999. The smallest, 755 000, also rounds to 800 000 (the 5 in the ten-thousands goes up). So 755 000.