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 Which is larger: 4099 or 4110?
Show worked solution
Both have 4 thousands. In the hundreds, 1 beats 0, so 4110 is larger — even though 4099 ends in bigger digits.
2 Order these smallest first: 3050, 3500, 3005 (type like 3005,3050,3500)
Show worked solution
Hundreds: 3005 has 0, 3050 has 0, 3500 has 5. Between the first two, the tens decide. Order: 3005, 3050, 3500.
3 What number is halfway between 2000 and 3000?
Show worked solution
They are 1000 apart, and half of 1000 is 500. So halfway is 2000 + 500 = 2500.
Level 2 · Core
4 How many whole numbers are there between 6700 and 6710, not counting 6700 and 6710 themselves?
Show worked solution
They are 6701 up to 6709, which is 9 numbers. A common slip is answering 10 by counting one of the ends.
5 Which is larger: 5 thousands and 4 tens, or 5040?
Show worked solution
5 thousands and 4 tens is 5000 + 40 = 5040. The two are equal.
6 Order these largest first: 7009, 7090, 7900 (type like 7900,7090,7009)
Show worked solution
Hundreds: 9, 0, 0. So 7900 is largest; then the tens separate 7090 from 7009. Order: 7900, 7090, 7009.
Level 3 · Challenge
7 Using the digits 6, 1, 9 and 4 once each, make the smallest number that is greater than 5000.
Show worked solution
To be above 5000 the first digit must be 6 or 9; 6 is smaller. Then order the rest smallest-first: 6149.
8 A number rounded to the nearest hundred is 3500. What is the smallest it could be?
Show worked solution
Anything from 3450 upwards rounds to 3500, and 3449 would round to 3400. So the smallest is 3450.
9 A whole number rounded to the nearest hundred is 3500. What is the largest it could be?
Show worked solution
3550 would round to 3600, so the largest whole number that still rounds to 3500 is 3549.
⭐ Bonus Challenge · only if the rest felt easy
10 Using the digits 2, 6, 0 and 9 once each, make the 4-digit number that is CLOSEST to 5000.
Show worked solution
The largest number below 5000 is 2960, which is 2040 away. The smallest number above 5000 is 6029, which is only 1029 away. So 6029 is closest.