Let’s solve each pattern one by one. We’ll look at how the numbers change from one to the next, then write the rule and fill in the missing boxes.
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Problem 1:
Numbers: 1, 5, 25, 125, __, __
Look at how we get from 1 to 5 → multiply by 5
5 to 25 → also ×5
25 to 125 → also ×5
So the rule is:
Multiply by 5
Next number after 125: 125 × 5 =
625
Then: 625 × 5 =
3,125
✔ Rule: Multiply by 5
✔ Missing numbers: 625, 3125
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Problem 2:
Numbers: 1, 7, 13, 19, __, __
From 1 to 7 → +6
7 to 13 → +6
13 to 19 → +6
Rule:
Add 6
Next: 19 + 6 =
25
Then: 25 + 6 =
31
✔ Rule: Add 6
✔ Missing numbers: 25, 31
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Problem 3:
Numbers: 100, 90, 80, 70, __, __
100 to 90 → -10
90 to 80 → -10
80 to 70 → -10
Rule:
Subtract 10
Next: 70 - 10 =
60
Then: 60 - 10 =
50
✔ Rule: Subtract 10
✔ Missing numbers: 60, 50
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Problem 4:
Numbers: 0, 5, 4, 9, __, __
This one alternates! Let’s check:
0 → 5 → that’s +5
5 → 4 → that’s -1
4 → 9 → that’s +5
So next should be -1 again? Let’s see:
Pattern: +5, -1, +5, -1, ...
After 9: subtract 1 →
8
Then add 5 →
13
Check:
0 (+5) → 5
5 (-1) → 4
4 (+5) → 9
9 (-1) → 8
8 (+5) → 13
✔
✔ Rule: Alternate adding 5 and subtracting 1 (starting with +5)
✔ Missing numbers: 8, 13
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Problem 5:
Numbers: 16,000, 8,000, 4,000, 2,000, __, __
16,000 → 8,000 → divide by 2 (or halve it)
8,000 → 4,000 → ÷2
4,000 → 2,000 → ÷2
Rule:
Divide by 2 (or “halve the number”)
Next: 2,000 ÷ 2 =
1,000
Then: 1,000 ÷ 2 =
500
✔ Rule: Divide by 2
✔ Missing numbers: 1000, 500
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Final Answer:
1. Numbers: 625, 3125 | Rule: Multiply by 5
2. Numbers: 25, 31 | Rule: Add 6
3. Numbers: 60, 50 | Rule: Subtract 10
4. Numbers: 8, 13 | Rule: Alternate adding 5 and subtracting 1
5. Numbers: 1000, 500 | Rule: Divide by 2
Parent Tip: Review the logic above to help your child master the concept of pattern rule worksheet grade 4.
