Let’s go through each pattern one by one. We’ll look at how the numbers change from one to the next, find the rule, and then use that rule to fill in the blanks.
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1. 30, 40, 50, 60, ___, ___
Look:
40 - 30 = 10
50 - 40 = 10
60 - 50 = 10
→ Rule: Add 10 each time.
Next two: 60 + 10 =
70, 70 + 10 =
80
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2. 1; 10; 100; 1,000; ___, ___
Look:
1 × 10 = 10
10 × 10 = 100
100 × 10 = 1,000
→ Rule: Multiply by 10 each time.
Next two: 1,000 × 10 =
10,000, 10,000 × 10 =
100,000
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3. 2, 4, 8, 16, ___, ___
Look:
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
→ Rule: Multiply by 2 each time.
Next two: 16 × 2 =
32, 32 × 2 =
64
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4. 26; 260; 2,600; 26,000; ___, ___
Look:
26 × 10 = 260
260 × 10 = 2,600
2,600 × 10 = 26,000
→ Rule: Multiply by 10 each time.
Next two: 26,000 × 10 =
260,000, 260,000 × 10 =
2,600,000
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5. 22,195; 22,190; 22,185; 22,180; ___, ___
Look:
22,195 - 5 = 22,190
22,190 - 5 = 22,185
22,185 - 5 = 22,180
→ Rule: Subtract 5 each time.
Next two: 22,180 - 5 =
22,175, 22,175 - 5 =
22,170
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6. 3; 30; 300; 3,000; ___, ___
Look:
3 × 10 = 30
30 × 10 = 300
300 × 10 = 3,000
→ Rule: Multiply by 10 each time.
Next two: 3,000 × 10 =
30,000, 30,000 × 10 =
300,000
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7. 360,000; 36,000; 3,600; ___, ___
Look:
360,000 ÷ 10 = 36,000
36,000 ÷ 10 = 3,600
→ Rule: Divide by 10 each time.
Next two: 3,600 ÷ 10 =
360, 360 ÷ 10 =
36
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8. 520,000; 52,000; 5,200; ___, ___
Look:
520,000 ÷ 10 = 52,000
52,000 ÷ 10 = 5,200
→ Rule: Divide by 10 each time.
Next two: 5,200 ÷ 10 =
520, 520 ÷ 10 =
52
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Now for #9 and #10 — you’re supposed to make up your own patterns! Here are two simple ones you can use (or change if you want):
9. 5, 10, 15, 20, ___, ___
Rule: Add 5 → Next: 25, 30
10. 100, 50, 25, ___, ___
Rule: Divide by 2 → Next: 12.5, 6.25 *(or if you want whole numbers, try 80, 40, 20...)*
But since this is for a classmate, let’s keep it simple with whole numbers:
9. 7, 14, 21, 28, ___, ___ → Add 7 → 35, 42
10. 81, 27, 9, ___, ___ → Divide by 3 → 3, 1
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Final Answer:
1. 70, 80 → Rule: Add 10
2. 10,000, 100,000 → Rule: Multiply by 10
3. 32, 64 → Rule: Multiply by 2
4. 260,000, 2,600,000 → Rule: Multiply by 10
5. 22,175, 22,170 → Rule: Subtract 5
6. 30,000, 300,000 → Rule: Multiply by 10
7. 360, 36 → Rule: Divide by 10
8. 520, 52 → Rule: Divide by 10
9. Example: 7, 14, 21, 28, 35, 42 → Rule: Add 7
10. Example: 81, 27, 9, 3, 1 → Rule: Divide by 3
Parent Tip: Review the logic above to help your child master the concept of number pattern worksheet 4th grade.
