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 the number 4703, what is the value of the 7?
Show worked solution
The 7 is in the hundreds column, so it is worth 7 × 100 = 700.
2 Start at 6970 and count on by 10 four times. What number do you land on?
Show worked solution
6970 → 6980 → 6990 → 7000 → 7010. (Four tens is 40, and 6970 + 40 = 7010.)
3 Which is larger: 8099, or 8 thousands and 9 tens? Write the larger number.
Show worked solution
8 thousands and 9 tens is 8090. Comparing 8099 with 8090, the tens are equal and 9 ones beats 0 ones, so 8099 is larger.
Level 2 · Core
4 Ann says 9099 rounded to the nearest hundred is 9000. What is the correct answer?
Show worked solution
9099 sits between 9000 and 9100. It is only 1 away from 9100 but 99 away from 9000, so it rounds to 9100. Ann looked at the wrong digit.
5 I have 3 thousands. My tens digit is double my ones digit, my digits add to 12, and I am between 3600 and 3700. What number am I?
Show worked solution
Between 3600 and 3700 means 3 thousands and 6 hundreds, which is 9 of the 12. The tens and ones must add to 3, with the tens double the ones: 2 and 1. The number is 3621.
6 What number is 500 more than 8750?
Show worked solution
8750 + 500: 750 + 500 = 1250, so that is 1 thousand and 250 more. 8000 + 1000 + 250 = 9250.
Level 3 · Challenge
7 Using the digits 2, 5, 0 and 8 once each, write the 4-digit number closest to 6000.
Show worked solution
The largest below 6000 is 5820, which is 180 away. The smallest above is 8025, which is 2025 away. So 5820 is closest.
8 I am between 4000 and 5000. My hundreds digit is 3 less than my thousands digit, my tens digit is 0, and I am odd. What is the smallest number I could be?
Show worked solution
Between 4000 and 5000 means the thousands digit is 4, so the hundreds digit is 4 − 3 = 1. The tens is 0. The smallest odd ones digit is 1, giving 4101.
9 Using the digits 7, 0, 4 and 9 once each, write the largest 4-digit number that is smaller than 9000.
Show worked solution
Starting with 9 gives a number over 9000, so start with the next largest digit, 7. Then use the rest largest-first: 7940.
⭐ Bonus Challenge · only if the rest felt easy
10 Start at 9640 and count back by 100 four times. What number do you land on?
Show worked solution
9640 → 9540 → 9440 → 9340 → 9240. (Four hundreds back is 400, and 9640 − 400 = 9240.)