Let's solve the
matching problem from the image step by step.
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Problem:
Match the items in
Column 1 with the correct items in
Column 2.
####
Column 1
(i) 35
(ii) 15
(iii) 16
(iv) 20
(v) 25
####
Column 2
(a) Multiple of 8
(b) Multiple of 7
(c) Multiple of 70
(d) Factor of 30
(e) Factor of 50
(f) Factor of 20
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We need to determine for each number in Column 1 whether it is a
multiple or a
factor of the given numbers in Column 2.
Let’s go one by one.
---
(i) 35
- Is 35 a multiple of 7?
→ $ 7 × 5 = 35 $ → Yes, so
35 is a multiple of 7.
✔ Match:
(i) → (b)
---
(ii) 15
- Is 15 a factor of 30?
→ $ 30 ÷ 15 = 2 $ → Yes, 15 divides 30 exactly.
So,
15 is a factor of 30.
✔ Match:
(ii) → (d)
---
(iii) 16
- Is 16 a multiple of 8?
→ $ 8 × 2 = 16 $ → Yes
So,
16 is a multiple of 8.
✔ Match:
(iii) → (a)
---
(iv) 20
- Is 20 a factor of 20?
→ $ 20 ÷ 20 = 1 $ → Yes
So,
20 is a factor of 20.
✔ Match:
(iv) → (f)
---
(v) 25
- Is 25 a factor of 50?
→ $ 50 ÷ 25 = 2 $ → Yes
So,
25 is a factor of 50.
✔ Match:
(v) → (e)
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Now let’s check if any options are left unmatched:
- Column 2:
- (a) Multiple of 8 → matched with 16
- (b) Multiple of 7 → matched with 35
- (c) Multiple of 70 →
no number in Column 1 is a multiple of 70
→ But none of the numbers (35, 15, 16, 20, 25) are multiples of 70.
→ So
(c) is not used.
But we have only five numbers and five options — but (c) is not matched.
Wait! Let's verify: Are all the numbers used?
Yes:
- (i) 35 → (b)
- (ii) 15 → (d)
- (iii) 16 → (a)
- (iv) 20 → (f)
- (v) 25 → (e)
So (c) "Multiple of 70" is
not matched, which is okay — because none of the numbers in Column 1 are multiples of 70.
But let’s double-check:
- Is
35 a multiple of 70? No → 70 > 35
- Is
15, 16, 20, 25 a multiple of 70? All less than 70 → no
So (c) remains unused.
But the matching is between
five items, and there are
six options in Column 2 — so one will be left out.
That’s fine.
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✔ Final Matching:
| Column 1 | Matches With | Column 2 |
|----------|--------------|----------|
| (i) 35 | → | (b) Multiple of 7 |
| (ii) 15 | → | (d) Factor of 30 |
| (iii) 16 | → | (a) Multiple of 8 |
| (iv) 20 | → | (f) Factor of 20 |
| (v) 25 | → | (e) Factor of 50 |
Option
(c) Multiple of 70 is
not matched.
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✔ Answer:
(i) – (b)
(ii) – (d)
(iii) – (a)
(iv) – (f)
(v) – (e)
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🔍 Explanation Summary:
- A
multiple of a number is the product of that number and an integer.
- A
factor of a number is a number that divides it exactly (no remainder).
We checked each number:
- 35 = 7×5 → multiple of 7
- 15 divides 30 → factor of 30
- 16 = 8×2 → multiple of 8
- 20 divides 20 → factor of 20
- 25 divides 50 → factor of 50
No number in Column 1 is a multiple of 70 → (c) is unused.
---
✔ Final Answer:
- (i) → (b)
- (ii) → (d)
- (iii) → (a)
- (iv) → (f)
- (v) → (e)
Parent Tip: Review the logic above to help your child master the concept of math worksheet course 1 lesson 3 6 answers.
