Number patterns worksheet for practicing sequence recognition and comparison.
A math worksheet titled "Number Patterns" with exercises for comparing and identifying number sequences.
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Step-by-step solution for: Number Pattern Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Number Pattern Worksheets
Let’s solve each number pattern step by step. We’ll look for the rule that changes one number to the next, then use that rule to fill in the blanks.
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A) Complete each number pattern.
1. 41, 38, 35, 32, __, __, __, __
→ Each number goes down by 3.
32 - 3 = 29
29 - 3 = 26
26 - 3 = 23
23 - 3 = 20
✔ Answer: 29, 26, 23, 20
2. 37, 42, 47, 52, 57, __, __, __, __
→ Each number goes up by 5.
57 + 5 = 62
62 + 5 = 67
67 + 5 = 72
72 + 5 = 77
✔ Answer: 62, 67, 72, 77
3. 8, 16, 24, 32, 40, __, __, __, __
→ Each number goes up by 8 (or it’s the 8 times table).
40 + 8 = 48
48 + 8 = 56
56 + 8 = 64
64 + 8 = 72
✔ Answer: 48, 56, 64, 72
4. 92, 83, 74, 65, 56, __, __, __, __
→ Each number goes down by 9.
56 - 9 = 47
47 - 9 = 38
38 - 9 = 29
29 - 9 = 20
✔ Answer: 47, 38, 29, 20
5. 5, 7, 11, 13, 17, __, __, __, __
→ These are prime numbers! (Numbers only divisible by 1 and themselves.)
After 17: next primes are 19, 23, 29, 31
✔ Answer: 19, 23, 29, 31
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B) Identify each number pattern and fill in the missing numbers.
1. __, 18, __, 24, __, 30, __, 36
→ Looks like counting by 6s: 12, 18, 24, 30, 36...
So before 18 is 12, between 18 and 24 is nothing? Wait — let’s check positions:
Position 1: ?
Position 2: 18
Position 3: ?
Position 4: 24
Position 5: ?
Position 6: 30
Position 7: ?
Position 8: 36
If we assume it increases by 6 every step:
Start at 12 → 18 → 24 → 30 → 36
But there are 8 spots. Let’s try starting lower:
Maybe it’s increasing by 3?
Try: 15, 18, 21, 24, 27, 30, 33, 36 → YES! That fits perfectly.
✔ Answer: 15, 21, 27, 33
2. 22, __, 4, __, -14, __, -32, __
→ From 22 to 4 is a drop of 18 over 2 steps → so maybe -9 per step?
Check:
22 - 9 = 13
13 - 9 = 4 ✔️
4 - 9 = -5
-5 - 9 = -14 ✔️
-14 - 9 = -23
-23 - 9 = -32 ✔️
-32 - 9 = -41
✔ Answer: 13, -5, -23, -41
3. 120, __, 100, __, 80, __, 60, __
→ Decreasing by 20 every other step? Or steadily?
From 120 to 100 is -20 over 2 steps → so -10 per step?
Try:
120, 110, 100, 90, 80, 70, 60, 50 → YES!
✔ Answer: 110, 90, 70, 50
4. __, 36, __, 54, __, 72, __, 90
→ Increasing by 18 every two steps? Or steady increase?
From 36 to 54 is +18 over 2 steps → so +9 per step?
Try:
Start before 36: 36 - 9 = 27
Then: 27, 36, 45, 54, 63, 72, 81, 90 → YES!
✔ Answer: 27, 45, 63, 81
5. __, __, 16, __, 32, __, 48, __
→ Looks like multiples of 8?
8, 16, 24, 32, 40, 48, 56 → but we have 8 positions.
Positions:
1: ?
2: ?
3: 16
4: ?
5: 32
6: ?
7: 48
8: ?
If it’s increasing by 8 each time:
Then position 3 is 16 → position 1 would be 0?
0, 8, 16, 24, 32, 40, 48, 56 → YES! Fits all given numbers.
✔ Answer: 0, 8, 24, 40, 56
Wait — let’s double-check:
Position 1: 0
Position 2: 8
Position 3: 16 ✔️
Position 4: 24
Position 5: 32 ✔️
Position 6: 40
Position 7: 48 ✔️
Position 8: 56
Perfect.
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Final Answer:
A)
1. 29, 26, 23, 20
2. 62, 67, 72, 77
3. 48, 56, 64, 72
4. 47, 38, 29, 20
5. 19, 23, 29, 31
B)
1. 15, 21, 27, 33
2. 13, -5, -23, -41
3. 110, 90, 70, 50
4. 27, 45, 63, 81
5. 0, 8, 24, 40, 56
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A) Complete each number pattern.
1. 41, 38, 35, 32, __, __, __, __
→ Each number goes down by 3.
32 - 3 = 29
29 - 3 = 26
26 - 3 = 23
23 - 3 = 20
✔ Answer: 29, 26, 23, 20
2. 37, 42, 47, 52, 57, __, __, __, __
→ Each number goes up by 5.
57 + 5 = 62
62 + 5 = 67
67 + 5 = 72
72 + 5 = 77
✔ Answer: 62, 67, 72, 77
3. 8, 16, 24, 32, 40, __, __, __, __
→ Each number goes up by 8 (or it’s the 8 times table).
40 + 8 = 48
48 + 8 = 56
56 + 8 = 64
64 + 8 = 72
✔ Answer: 48, 56, 64, 72
4. 92, 83, 74, 65, 56, __, __, __, __
→ Each number goes down by 9.
56 - 9 = 47
47 - 9 = 38
38 - 9 = 29
29 - 9 = 20
✔ Answer: 47, 38, 29, 20
5. 5, 7, 11, 13, 17, __, __, __, __
→ These are prime numbers! (Numbers only divisible by 1 and themselves.)
After 17: next primes are 19, 23, 29, 31
✔ Answer: 19, 23, 29, 31
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B) Identify each number pattern and fill in the missing numbers.
1. __, 18, __, 24, __, 30, __, 36
→ Looks like counting by 6s: 12, 18, 24, 30, 36...
So before 18 is 12, between 18 and 24 is nothing? Wait — let’s check positions:
Position 1: ?
Position 2: 18
Position 3: ?
Position 4: 24
Position 5: ?
Position 6: 30
Position 7: ?
Position 8: 36
If we assume it increases by 6 every step:
Start at 12 → 18 → 24 → 30 → 36
But there are 8 spots. Let’s try starting lower:
Maybe it’s increasing by 3?
Try: 15, 18, 21, 24, 27, 30, 33, 36 → YES! That fits perfectly.
✔ Answer: 15, 21, 27, 33
2. 22, __, 4, __, -14, __, -32, __
→ From 22 to 4 is a drop of 18 over 2 steps → so maybe -9 per step?
Check:
22 - 9 = 13
13 - 9 = 4 ✔️
4 - 9 = -5
-5 - 9 = -14 ✔️
-14 - 9 = -23
-23 - 9 = -32 ✔️
-32 - 9 = -41
✔ Answer: 13, -5, -23, -41
3. 120, __, 100, __, 80, __, 60, __
→ Decreasing by 20 every other step? Or steadily?
From 120 to 100 is -20 over 2 steps → so -10 per step?
Try:
120, 110, 100, 90, 80, 70, 60, 50 → YES!
✔ Answer: 110, 90, 70, 50
4. __, 36, __, 54, __, 72, __, 90
→ Increasing by 18 every two steps? Or steady increase?
From 36 to 54 is +18 over 2 steps → so +9 per step?
Try:
Start before 36: 36 - 9 = 27
Then: 27, 36, 45, 54, 63, 72, 81, 90 → YES!
✔ Answer: 27, 45, 63, 81
5. __, __, 16, __, 32, __, 48, __
→ Looks like multiples of 8?
8, 16, 24, 32, 40, 48, 56 → but we have 8 positions.
Positions:
1: ?
2: ?
3: 16
4: ?
5: 32
6: ?
7: 48
8: ?
If it’s increasing by 8 each time:
Then position 3 is 16 → position 1 would be 0?
0, 8, 16, 24, 32, 40, 48, 56 → YES! Fits all given numbers.
✔ Answer: 0, 8, 24, 40, 56
Wait — let’s double-check:
Position 1: 0
Position 2: 8
Position 3: 16 ✔️
Position 4: 24
Position 5: 32 ✔️
Position 6: 40
Position 7: 48 ✔️
Position 8: 56
Perfect.
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Final Answer:
A)
1. 29, 26, 23, 20
2. 62, 67, 72, 77
3. 48, 56, 64, 72
4. 47, 38, 29, 20
5. 19, 23, 29, 31
B)
1. 15, 21, 27, 33
2. 13, -5, -23, -41
3. 110, 90, 70, 50
4. 27, 45, 63, 81
5. 0, 8, 24, 40, 56
Parent Tip: Review the logic above to help your child master the concept of math patterns worksheet grade 4.
