← Back to view Tip: choose "Save as PDF" as your printer for a clean PDF
Mathematics

Playing with Numbers

Number Operations and Properties
Date: May 29, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
Student Name
Class / Section
Grade / Year
Teacher
School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. The number 10 is a multiple of 5. (1 pt)
True
False
2. Every multiple of 2 is an even number. (1 pt)
True
False
3. The HCF of co-prime numbers 9 and 14 is 3. (1 pt)
True
False
4. Multiplying any number by 1 gives the same number. (1 pt)
True
False
5. The sum of two odd numbers is always odd. (1 pt)
True
False
6. The number 1 is considered a prime number. (1 pt)
True
False
7. The smallest prime number is 2. (1 pt)
True
False
8. Zero is neither positive nor negative. (1 pt)
True
False
9. Multiplying two negative numbers gives a positive product. (1 pt)
True
False
10. A prime number has exactly two distinct factors: 1 and the number itself. (1 pt)
True
False

11. What is the first step in solving 14 + 8 × 4 + 194 ÷ 7? (2 pts)
A. Addition
B. Multiplication
C. Division
D. Subtraction
12. Which operation should be performed first according to BODMAS? (2 pts)
A. Addition
B. Multiplication
C. Division
D. Brackets
13. What is the smallest prime number? (2 pts)
A. 1
B. 2
C. 3
D. 5
14. The HCF of 4 and 15 is: (2 pts)
A. 1
B. 2
C. 4
D. None
15. Which of the following numbers is divisible by 3? (2 pts)
A. 73
B. 137
C. 54
D. 277
16. Which number is a perfect number? (2 pts)
A. 496
B. 459
C. 495
D. 469
17. The 8th prime number minus the 12th prime number equals: (2 pts)
A. 30
B. 14
C. 18
D. 28
18. If a number is divisible by 90, it must be divisible by: (2 pts)
A. 7 and 45
B. 9 and 11
C. 8 and 18
D. 5 and 9
19. Which digit should replace '#' in 90##53 to make it divisible by 11? (2 pts)
A. 3
B. 0
C. 1
D. 2
20. What is the least number that can replace '*' in 764*52 so it is divisible by 11? (2 pts)
A. 3
B. 4
C. 5
D. 6

21. The smallest prime number is   . (2 pts)
22. A number divisible by 10 ends with   . (2 pts)
23. To solve 36 ÷ 3 × 4, you should first perform the   operation. (2 pts)
24. The LCM of 3 and 4 is   . (2 pts)
25. The HCF of two prime numbers always equals   . (2 pts)
26. According to BODMAS,   should be solved first in the expression 4 + (5 × 3). (2 pts)
27. The sum of digits rule is used to check divisibility by   . (2 pts)
28. The number   is both a factor of itself and 0. (2 pts)
29. Prime factorisation can be done using either the division method or the   method. (2 pts)
30. A number divisible by both 5 and 9 is also divisible by   . (2 pts)

31. If a number is divisible by both 6 and 8, what is the smallest such positive number? Show your working. (5 pts)
Working:
Answer:
32. A car travels 150 km in 3 hours. What is its average speed? Show your working. (5 pts)
Working:
Answer:
33. Find the least number of 5-digit divisible by 45. Show your working. (5 pts)
Working:
Answer:
34. A bus stops every 8th block and a tram stops at every 12th block. What is the first block they both stop at? Show your working. (5 pts)
Working:
Answer:
35. If three water tanks hold 5000L, 7500L, and 10000L respectively, what is the maximum container size to drain them exactly? (5 pts)
Working:
Answer:
36. In a colony, there are 3 types of events every 4 days, 6 days, and 9 days. What is the first day they all coincide? Show your working. (5 pts)
Working:
Answer:
37. Calculate the number that should be added to 9813 to make it divisible by 5, 8, and 10. (5 pts)
Working:
Answer:
38. If 764*52 needs to be divisible by 11, what single digit number replaces *? Show your working. (5 pts)
Working:
Answer:
39. Determine the smallest digit added to 31290876 to make it divisible by 5, 8, and 10. Show your working. (5 pts)
Working:
Answer:
40. What number should be subtracted from 1002 to make it divisible by 3 and 4? Show your working. (5 pts)
Working:
Answer: