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 5 250 000 there are two 5s. The value of the first 5 is how many times the value of the second?
Show worked solution
The first 5 is in the millions (5 000 000); the second in the ten-thousands (50 000). One column apart → 10 times.
2 Give the value of each digit in 4 800.
Show worked solution
The 4 is in the thousands: 4000. The 8 is in the hundreds: 800.
3 How many times larger is 7 000 than 70?
Show worked solution
7 000 ÷ 70 = 100.
Level 2 · Core
4 In 60 300, the value of the 6 is how many times the value of the 3?
Show worked solution
60 000 ÷ 300 = 600 ÷ 3 = 200.
5 In 2 505, give the value of each 5, then say how many times the first is of the second.
Show worked solution
The first 5 is worth 500, the second 5. 500 ÷ 5 = 100.
6 In 9 040 000, the value of the 9 is how many times the value of the 4?
Show worked solution
9 000 000 ÷ 40 000 = 900 ÷ 4 = 225.
Level 3 · Challenge
7 Look at 405 020 and the three statements.1 The 4 is worth 1000 times the 5.
2 The 5 is worth 250 times the 2.
3 The 4 is worth 20 000 times the 2.
Which statements are correct?
2 The 5 is worth 250 times the 2.
3 The 4 is worth 20 000 times the 2.
Which statements are correct?
Show worked solution
400 000 ÷ 5 000 = 80, not 1000 — 1 is wrong. 5 000 ÷ 20 = 250 — 2 is right. 400 000 ÷ 20 = 20 000 — 3 is right. 2 and 3.
8 The 8 in 8 000 000 is how many times the 2 in 20 000, and how many times the 4 in 400?
Show worked solution
8 000 000 ÷ 20 000 = 800 ÷ 2 = 400. 8 000 000 ÷ 400 = 80 000 ÷ 4 = 20 000.
9 In a five-digit number, the digit 3 is in the tens column and the digit 6 is worth 2000 times the value of the 3. What is the value of the 6?
Show worked solution
The 3 is worth 30, and 30 × 2000 = 60 000 — so the 6 is in the ten-thousands column.