Place Value & Number Patterns
28 Class 6 IMO Mathematics Olympiad practice questions on place value & number patterns, part of the Number Sense topic area. Every question below includes the correct answer and a full explanation.
Practice this topic interactively →1. What is the place value of 7 in 3,762?
- A.7
- B.70
- C.700
- D.7000
View this question on its own page →Show answer & explanation
Answer: C. 700
7 is in the hundreds place, so its place value is 700.
2. What is the place value of 5 in 45,201?
- A.5
- B.50
- C.500
- D.5000
View this question on its own page →Show answer & explanation
Answer: D. 5000
5 is in the thousands place, so its place value is 5000.
3. What is 7³?
- A.342
- B.344
- C.49
- D.343
View this question on its own page →Show answer & explanation
Answer: D. 343
7 × 7 × 7 = 343.
4. What is 5³?
- A.125
- B.124
- C.126
- D.25
View this question on its own page →Show answer & explanation
Answer: A. 125
5 × 5 × 5 = 125.
5. Write 4 thousands + 3 hundreds + 2 tens + 6 ones as a number.
- A.4236
- B.4326
- C.4362
- D.4623
View this question on its own page →Show answer & explanation
Answer: B. 4326
4000+300+20+6 = 4326.
6. What is the successor of 99,999?
- A.99998
- B.100000
- C.100001
- D.999999
View this question on its own page →Show answer & explanation
Answer: B. 100000
The successor of a number is 1 more than it: 99,999+1 = 100,000.
7. What is the predecessor of 50,000?
- A.49998
- B.49999
- C.50001
- D.49990
View this question on its own page →Show answer & explanation
Answer: B. 49999
The predecessor of a number is 1 less than it: 50,000−1 = 49,999.
8. Round 4,678 to the nearest hundred.
- A.4600
- B.4650
- C.4700
- D.4800
View this question on its own page →Show answer & explanation
Answer: C. 4700
The last two digits, 78, round up since 78 ≥ 50, giving 4,700.
9. Round 3,245 to the nearest ten.
- A.3240
- B.3250
- C.3200
- D.3300
View this question on its own page →Show answer & explanation
Answer: B. 3250
The units digit is 5, so it rounds up to 3,250.
10. Which of these numbers is the greatest?
- A.45,678
- B.45,687
- C.45,768
- D.45,786
View this question on its own page →Show answer & explanation
Answer: D. 45,786
Comparing digit by digit from the left, 45,786 is the greatest.
11. Arrange in ascending order: 4021, 4012, 4201, 4102
- A.4012, 4021, 4102, 4201
- B.4021, 4012, 4102, 4201
- C.4012, 4102, 4021, 4201
- D.4201, 4102, 4021, 4012
View this question on its own page →Show answer & explanation
Answer: A. 4012, 4021, 4102, 4201
Comparing digit by digit: 4012 < 4021 < 4102 < 4201.
12. What is the sum of the place values of both 4s in 44,562?
- A.40400
- B.44000
- C.44400
- D.8000
View this question on its own page →Show answer & explanation
Answer: B. 44000
The first 4 is worth 40,000 and the second is worth 4,000. Their sum is 44,000.
13. What is the smallest 4-digit number using the digits 2, 0, 5, 8 (each used once)?
- A.0258
- B.2058
- C.2085
- D.2580
View this question on its own page →Show answer & explanation
Answer: B. 2058
The first digit can't be 0, so the smallest arrangement is 2058.
14. What is the largest 4-digit number using the digits 3, 7, 1, 9 (each used once)?
- A.9713
- B.9731
- C.9371
- D.7931
View this question on its own page →Show answer & explanation
Answer: B. 9731
Arranging the digits from largest to smallest gives 9731.
15. Find the next number in the pattern: 5, 50, 500, ?
- A.550
- B.5000
- C.5050
- D.50000
View this question on its own page →Show answer & explanation
Answer: B. 5000
Each term is multiplied by 10: 500×10 = 5000.
16. What is 10,000 more than 25,340?
- A.25350
- B.26340
- C.35340
- D.35350
View this question on its own page →Show answer & explanation
Answer: C. 35340
25,340 + 10,000 = 35,340.
17. What is 8³?
- A.513
- B.512
- C.511
- D.64
View this question on its own page →Show answer & explanation
Answer: B. 512
8 × 8 × 8 = 512.
18. What is 2³?
- A.9
- B.7
- C.8
- D.4
View this question on its own page →Show answer & explanation
Answer: C. 8
2 × 2 × 2 = 8.
19. The product of two consecutive whole numbers is 72. Which pair is possible?
- A.7 and 8
- B.8 and 9
- C.9 and 10
- D.10 and 11
View this question on its own page →Show answer & explanation
Answer: B. 8 and 9
8 × 9 = 72.
20. How many 3-digit numbers are there in total (from 100 to 999)?
- A.899
- B.900
- C.901
- D.999
View this question on its own page →Show answer & explanation
Answer: B. 900
999 − 100 + 1 = 900.
21. What is 11²?
- A.120
- B.122
- C.22
- D.121
View this question on its own page →Show answer & explanation
Answer: D. 121
11 × 11 = 121.
22. What is 4³?
- A.65
- B.63
- C.64
- D.16
View this question on its own page →Show answer & explanation
Answer: C. 64
4 × 4 × 4 = 64.
23. What is 8²?
- A.64
- B.65
- C.63
- D.16
View this question on its own page →Show answer & explanation
Answer: A. 64
8 × 8 = 64.
24. What is 3³?
- A.26
- B.9
- C.27
- D.28
View this question on its own page →Show answer & explanation
Answer: C. 27
3 × 3 × 3 = 27.
25. What is 10²?
- A.100
- B.101
- C.99
- D.20
View this question on its own page →Show answer & explanation
Answer: A. 100
10 × 10 = 100.
26. What is 4²?
- A.15
- B.16
- C.17
- D.8
View this question on its own page →Show answer & explanation
Answer: B. 16
4 × 4 = 16.
27. What is 6²?
- A.36
- B.12
- C.37
- D.35
View this question on its own page →Show answer & explanation
Answer: A. 36
6 × 6 = 36.
28. What is 7²?
- A.48
- B.49
- C.50
- D.14
View this question on its own page →Show answer & explanation
Answer: B. 49
7 × 7 = 49.