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 In 6 305 218, which digit is in the ten-thousands place?
Show worked solution
Ten thousands is the third column from the left: the digit there is 0. (6 millions, 3 hundred thousands, 0 ten thousands, 5 thousands.)
2 Rename 8 730 000 in thousands.
Show worked solution
Cover the last three digits: 8730 is left, so it is 8730 thousands.
3 What number is 3 thousands more than 41 726?
Show worked solution
41 thousands + 3 thousands = 44 thousands, and the 726 stays: 44 726.
Level 2 · Core
4 Using each card once, what is the largest six-digit odd number you can make?
Show worked solution
Descending order gives 975 210, which is even. Keep the front as large as possible and end on the smallest odd digit, 1: 975 201.
5 Rename 2 405 000 in ten thousands, with what is left over.
Show worked solution
Cover the last four digits: 240 ten thousands. Covered: 5000. So 240 ten thousands + 5000.
6 Which number does the arrow point to?
Show worked solution
Marks are 250 000 apart. The arrow is on the fifth mark: 5 × 250 000 = 1 250 000.
Level 3 · Challenge
7 The table shows the population of five towns.
Three statements are made.
1 Corran has the largest population.
2 Bexley has more people than Ellis.
3 Dunmore has fewer than one tenth of Aldern's population.
Which statements are correct?
| Town | Population |
| Aldern | 1 048 900 |
| Bexley | 985 700 |
| Corran | 1 050 200 |
| Dunmore | 99 890 |
| Ellis | 1 004 800 |
1 Corran has the largest population.
2 Bexley has more people than Ellis.
3 Dunmore has fewer than one tenth of Aldern's population.
Which statements are correct?
Show worked solution
Seven-digit numbers beat six-digit ones, so Bexley (985 700) is smaller than Ellis (1 004 800) — statement 2 is wrong. Among the seven-digit numbers, 1 050 200 is largest — statement 1 is right. One tenth of 1 048 900 is 104 890, and 99 890 is less — statement 3 is right. 1 and 3.
8 Write 3 060 208 as millions, thousands and ones.
Show worked solution
Millions house: 3. Thousands house: 060, which is 60 thousand. Ones house: 208.
9 Priya adds 40 000 to a number, then takes away 7000, and gets 296 300. What number did she start with?
Show worked solution
Undo the − 7000 by adding it: 296 300 + 7000 = 303 300. Undo the + 40 000 by subtracting it: 303 300 − 40 000 = 263 300.