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Primary 4 Maths: Factors and Multiples — Practice Paper 1 (10 Questions)

Primary 4 Maths: Factors and Multiples — Practice Paper 1 (10 Questions)

  • 2026-10-29

Tutor Prep Guide · Primary Maths

Primary 4 Maths: Factors and Multiples — Practice Paper 1 (10 Questions)

Paper 1 lists factors by pairs and separates primes from composites, then uses short division to keep H.C.F. and L.C.M. apart: H.C.F. multiplies the left column only, L.C.M. multiplies the left column and the bottom row. Two word problems follow, and the last item redoes the H.C.F. that swallowed the bottom row.

Quick answer　10 questions, about 25 minutes. Items 01 to 03 are listing factors, spotting a prime and a divisibility check; items 04 to 06 are the factors of 24, the H.C.F. of 16 and 24 and the L.C.M. of 6 and 9; items 07 to 09 are both values for one pair, bagging fruit (H.C.F.) and buses leaving together (L.C.M.); item 10 redoes the swapped pair.

01　Paper details (check answers afterwards)

Item Detail
Questions 10 questions
Suggested time 25 minutes
Difficulty mix Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter Chapter: Primary 4 Maths: Factors and Multiples (H.C.F. and L.C.M.) — Tutor Lesson Plan
Level Primary 4

02　Questions (10 items)

  1. FoundationList all the factors of 18.
  2. FoundationWhich of 9, 11 and 15 is a prime number?
  3. FoundationIs 36 divisible by 4? Show the division.
  4. IntermediateList all the factors of 24 and say how many there are.
  5. IntermediateFind the H.C.F. of 16 and 24.
  6. IntermediateFind the L.C.M. of 6 and 9.
  7. ChallengeFind the H.C.F. and the L.C.M. of 20 and 30.
  8. Challenge48 apples and 36 oranges are packed into identical bags. What is the greatest number of bags, and what goes in each?
  9. ChallengeBus A leaves every 8 minutes and bus B every 12 minutes. If they leave together now, after how many minutes will they next leave together?
  10. Error redoA student finds the H.C.F. of 12 and 18 by multiplying the left column and the bottom row and answers 36. What is wrong, and what is the correct H.C.F.?

03　Answers and one-line notes

# Answer One-line note
1 1, 2, 3, 6, 9, 18 (6 factors) Write the pairs from the outside in: 1 × 18, 2 × 9, 3 × 6. Working in pairs means neither 1 nor the number itself gets left out.
2 11 A prime has exactly two factors, 1 and itself. 9 = 3 × 3 and 15 = 3 × 5 are composite, while 11 divides only by 1 and 11.
3 Yes, 36 ÷ 4 = 9 Divisible means no remainder: 4 × 9 = 36, so 4 is a factor of 36 and 36 is a multiple of 4.
4 1, 2, 3, 4, 6, 8, 12, 24 (8 factors) Pair them: 1 × 24, 2 × 12, 3 × 8, 4 × 6. Four pairs make 8 factors, and you stop when the two numbers in a pair meet.
5 8 Short division gives 2, 2, 2 in the left column, and only that column is multiplied: 2 × 2 × 2 = 8. An H.C.F. can never exceed the smaller number, 16.
6 18 The left column holds 3 and the bottom row holds 2 and 3, so 3 × 2 × 3 = 18. An L.C.M. is never below the larger number, 9.
7 H.C.F. = 10, L.C.M. = 60 Short division leaves 2 and 5 in the left column, so 2 × 5 = 10 is the H.C.F.; multiplying the bottom row as well gives 10 × 6 = 60 as the L.C.M., and H.C.F. × L.C.M. = 20 × 30 checks it.
8 12 bags, each with 4 apples and 3 oranges The greatest number of identical bags is the H.C.F.: H.C.F.(48, 36) = 12, and 48 ÷ 12 = 4, 36 ÷ 12 = 3, so nothing is left over.
9 24 minutes The next shared time is the L.C.M.: L.C.M.(8, 12) = 24, the smallest number that is a multiple of both, far below 8 × 12 = 96.
10 36 is really the L.C.M.; the H.C.F. is 6 Short division leaves 2 and 3 on the left, and 2 × 3 = 6 is the H.C.F.; bringing the bottom row 2 and 3 into the multiplication gives 36, which is the L.C.M.

04　What to do after marking

  • After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
  • Repeat the same item two days later; move to the next paper only when both attempts are correct.
  • Parents only need the answer and note columns; there is no need to explain every item.

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