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 rabbit takes one step forward for each correct answer.
(1 pt)
2.
The result of 4 × 100 + 7 × 10 + 3 is 473.
(1 pt)
3.
According to the BODMAS rule, operations inside brackets are performed first.
(1 pt)
4.
In a multi-operation problem, subtraction is always carried out first.
(1 pt)
5.
The property LCM × HCF = Product of two numbers holds true for any pair of numbers.
(1 pt)
6.
Prime factorization involves breaking down a number into its prime factors.
(1 pt)
7.
A prime number has more than two distinct factors.
(1 pt)
8.
Multiples of a number are obtained by repeatedly adding the number to itself.
(1 pt)
9.
If a number is divisible by both 9 and 11, it is always divisible by 90.
(1 pt)
10.
A perfect number is one that is equal to the sum of its proper divisors.
(1 pt)
11.
What is 4 × 100 + 7 × 10 + 3?
(2 pts)
12.
What is 10 less than 10 times 51?
(2 pts)
13.
What is the simplified form of 5 × 10,000 + 9 × 10 + 1?
(2 pts)
14.
According to the BODMAS rule, which operation should be performed first?
(2 pts)
15.
The HCF of two coprime numbers is:
(2 pts)
16.
In prime factorization, which number is considered the smallest prime?
(2 pts)
17.
Which of the following numbers is divisible by 3?
(2 pts)
18.
What does LCM stand for?
(2 pts)
C. Largest Common Multiple
19.
What is the key concept behind the factor tree method?
(2 pts)
A. Division into prime factors
D. Subtraction of numbers
20.
Which statement is true about prime numbers?
(2 pts)
A. All even numbers are prime
B. 2 is the only even prime number
D. Prime numbers are divisible by 2
21.
In the number 4 × 100 + 7 × 10 + 3, the digit in the tens place is
.
(2 pts)
22.
The result of 10 times 51 minus 10 is
.
(2 pts)
23.
The simplified expression for 5 × 10,000 + 9 × 10 + 1 is
.
(2 pts)
24.
According to the BODMAS rule, operations inside
are performed first.
(2 pts)
25.
The smallest factor of every number is
.
(2 pts)
26.
Prime factorization breaks a number into its
factors.
(2 pts)
27.
LCM stands for Least Common
.
(2 pts)
28.
The property LCM × HCF = Product of two numbers shows the relation between
.
(2 pts)
29.
Divisibility by 3 is determined by the sum of the
of a number.
(2 pts)
30.
A perfect number is one that is equal to the sum of its
divisors.
(2 pts)
31.
A rabbit hops forward each time a correct answer is given. If it takes 473 steps to reach a carrot, and each correct answer moves it 1 step, how many correct answers did it get? Show your working.
(5 pts)
32.
Solve: 10 less than 10 times 51. Show your working.
(5 pts)
33.
Evaluate: 5 × 10,000 + 9 × 10 + 1 × 1. Show your working.
(5 pts)
34.
Calculate 36,000 + 400 - 100 + 10. Show your working.
(5 pts)
35.
Find the least common multiple (LCM) of 15 and 20. Show your working.
(5 pts)
36.
Determine the highest common factor (HCF) of 36 and 60. Show your working.
(5 pts)
37.
A six-digit number has digits that sum to 27. Explain why this number is divisible by 9. Show your working.
(5 pts)
38.
In a colony with 62 blocks, a bus stops every 10th block and a van every 6th block. What is the first block where both vehicles stop? Show your working.
(5 pts)
39.
If the property LCM × HCF = Product of two numbers holds, and the LCM of two numbers is 60 while the HCF is 12, find the product of the two numbers. Show your working.
(5 pts)
40.
Three water tankers have capacities of 5000, 8000, and 10,000 litres. What is the maximum capacity of a container that can measure all three tanks exactly? Show your working.
(5 pts)