Let’s solve each question one by one, with clear explanations.
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**Question 1: What is the rule?
5, 10, 15, 20, 25**
Look at the difference between consecutive numbers:
- 10 – 5 =
5
- 15 – 10 =
5
- 20 – 15 =
5
- 25 – 20 =
5
✔ The rule is:
add 5
Answer: D. add 5
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**Question 2: What number belongs in the blank?
18, 24, __, 36, 42**
Check the differences:
- 24 – 18 =
6
- 36 – 24 =
12 → Wait, that’s not consistent. Let’s check from the end too.
- 42 – 36 =
6
So maybe it’s adding 6 each time?
Try:
18 + 6 = 24
24 + 6 =
30 ← this should be the missing number
30 + 6 = 36
36 + 6 = 42
✔
Perfect!
Answer: D. 30
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**Question 3: What are the missing numbers in this pattern?
22, 29, 36, __, 50, __**
Check the differences:
- 29 – 22 =
7
- 36 – 29 =
7
So we’re adding 7 each time.
Next:
36 + 7 =
43
43 + 7 =
50 (matches given)
50 + 7 =
57
So missing numbers are
43 and 57
Answer: D. 43, 57
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**Question 4: How many counters would come next?
Image shows:
Term 1: 1 counter
Term 2: 3 counters
Term 3: 5 counters
Term 4: 7 counters? (But the image shows 4 groups — let me interpret visually)**
Actually, looking at the image:
- First group: 1 dot
- Second: 3 dots (like a triangle)
- Third: 5 dots (larger triangle)
- Fourth: 7 dots (even larger)
This is an
odd number sequence: 1, 3, 5, 7...
So next term (5th) would be
9
Answer: A. 9
*(Note: If the question is asking for the NEXT after the last shown, which is 7, then yes — 9)*
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Question 5: ABC ABC ABC _
Pattern: “ABC” repeats.
So after ABC ABC ABC, the next letter is the
first letter of the next cycle →
A
Answer: B. A
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Question 6: How many blocks will be in the 4th term?
Looking at the image:
- Term 1: 3 blocks (2 on bottom, 1 on top — like a small staircase)
- Term 2: 6 blocks (3+2+1? Or 3 on bottom, 2 middle, 1 top → total 6)
- Term 3: 10 blocks (4+3+2+1? No — actually, visually: bottom row 4, then 3, then 2, then 1? That’s 10)
Wait — let’s count properly:
Actually, these look like
triangular numbers:
- Term 1: 1 + 2 =
3 blocks? Or maybe just 3 arranged as a triangle.
- Better way: Count total blocks per term:
Term 1: 3 blocks
Term 2: 6 blocks
Term 3: 10 blocks
That’s:
T1 = 3
T2 = 6
T3 = 10
Differences:
6 - 3 = 3
10 - 6 = 4
So next difference might be 5 → 10 + 5 =
15
Also, 3, 6, 10, 15 are triangular numbers starting from T2:
Triangular numbers: 1, 3, 6, 10, 15, 21...
So if Term 1 = 3 (which is T2), Term 2 = 6 (T3), Term 3 = 10 (T4), then Term 4 = 15 (T5)
✔ So 4th term has
15 blocks
Answer: B. The next term will have 15 blocks.
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✔ Final Answers:
1.
D
2.
D
3.
D
4.
A
5.
B
6.
B
Let me know if you’d like a visual explanation or more practice!
Parent Tip: Review the logic above to help your child master the concept of patterns worksheet 4th grade.
