Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Write all factors of 12.
(2) Write all multiples of 7 less than 50.
(3) Write the smallest prime number.
Correct! 2 is the smallest and only even prime number.
(4) Write the HCF of 18 and 24.
Perfect! HCF is the highest common factor.
(5) Write the LCM of 4 and 5.
Excellent! Since 4 and 5 have no common factors, LCM = 4 × 5 = 20.
Short Answer Questions (2 Marks Each)
Answer each question clearly
(1) Write the first 6 multiples of 9.
(2) Find the sum of the factors of 16. Sum =
Perfect! The sum of all factors of 16 is 31.
(3) Write the first 5 prime numbers.
(4) Check whether 45 is divisible by 5.
Yes, 45 is divisible by 5 because it ends in
(5) Write the prime factorisation of 36.
Excellent! 36 =
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete working and clear explanations.
(1) Find the HCF of 28 and 42 by listing their common factors. HCF =
(2) Find the LCM of 12 and 15 by the prime factorisation method. LCM =
Perfect! LCM takes the highest power of each prime factor.
(3) Write all factors of 24 and 36 and find their HCF. HCF =
(4) Write all multiples of 6 and 8 less than 50 and find their common multiples.
Common multiples: 24, 48
(5) Verify whether 35 is divisible by both 5 and 7.
Yes, 35 is divisible by both 5 and 7.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) Which of the following is a prime number?
(a) 4 (b) 7 (c) 9 (d) 15
Correct! 7 has only two factors: 1 and 7.
(2) Which is the smallest composite number?
(a) 1 (b) 2 (c) 3 (d) 4
Correct! 4 = 2 × 2, so it's the smallest composite number.
(3) The HCF of 10 and 15 is:
(a) 5 (b) 10 (c) 15 (d) 1
Correct! Common factors of 10 and 15 are 1 and 5. HCF = 5.
(4) The LCM of 3 and 4 is:
(a) 7 (b) 12 (c) 24 (d) 36
Correct! Since 3 and 4 are coprime, LCM = 3 × 4 = 12.
(5) Which number is divisible by 9?
(a) 234 (b) 235 (c) 236 (d) 237
Correct! Sum of digits: 2+3+4 = 9, which is divisible by 9.
(6) Which of these numbers has exactly 2 factors?
(a) 1 (b) 2 (c) 4 (d) 6
Correct! Prime numbers have exactly 2 factors. 2 has factors 1 and 2.
(7) The smallest common multiple of 5 and 6 is:
(a) 11 (b) 15 (c) 25 (d) 30
Correct! LCM of 5 and 6 = 30 (since they're coprime).
(8) Which is a factor of both 18 and 24?
(a) 2 (b) 3 (c) 6 (d) All of these
Correct! 2, 3, and 6 are all common factors of 18 and 24.
(9) The prime factorisation of 20 is:
(a) 2 × 10 (b) 2 × 2 × 5 (c) 4 × 5 (d) 5 × 5
Correct! 20 =
(10) A number divisible by both 2 and 3 must be divisible by:
(a) 4 (b) 5 (c) 6 (d) 12
Correct! If divisible by both 2 and 3, it must be divisible by LCM(2,3) = 6.
Factors and Multiples Challenge
Determine whether these statements are True or False: