Number Patterns worksheet for practicing sequence completion and pattern recognition.

Looking at the worksheet, we need to complete each number pattern by filling in the missing numbers.

Let’s go one by one:

1. 0, 2, __, 6, 8, __, 12, 14, __, 20
→ This is counting by 2s.
Missing: 4, 10, 16

2. 1, __, 3, 4, 5, 6, __, 8, __, 10
→ Counting by 1s.
Missing: 2, 7, 9

3. 0, 6, 9, 12, __, 18, __, 24, __, 30
→ After 0, it increases by 3 each time.
Missing: 15, 21, 27

4. 10, 20, 30, __, 50, 60, __, 80, 90, __, 110
→ Counting by 10s.
Missing: 40, 70, 100

5. 5, __, 15, __, 25, 30, __, 45, 50, 55
→ Counting by 5s.
Missing: 10, 20, 40

6. 6, __, 10, 12, 14, 16, __, 20, 22, 26
→ Starting from 6, adding 2 each time — but 26 breaks the pattern? Wait, let’s check:
6, 8, 10, 12, 14, 16, 18, 20, 22, 24 — but last is 26. That doesn’t fit.
Wait — maybe it’s +2 until 22, then jumps to 26? That seems odd.
Actually, looking again: 6, __, 10 → so between 6 and 10 should be 8. Then 12,14,16, then next should be 18, then 20, 22, then 24? But it says 26. Hmm.
Wait — perhaps it’s a typo? Or maybe it’s +2 except at the end? Let’s assume standard pattern:
6, 8, 10, 12, 14, 16, 18, 20, 22, 24 — but last is 26. That’s inconsistent.
Wait — maybe it’s +2, +2, +2... but 22 to 26 is +4? That doesn’t make sense.
Alternatively, maybe it’s even numbers starting from 6: 6,8,10,12,14,16,18,20,22,24 — but the last given is 26. So perhaps the pattern is correct up to 22, then 26 is a mistake? Or maybe I misread.
Wait — let’s list positions:
Position 1: 6
Position 2: ?
Position 3: 10 → so position 2 must be 8 (since 6+2=8, 8+2=10)
Then 12,14,16 → all +2
Then position 7: ? → should be 18
Position 8: 20
Position 9: 22
Position 10: 26 → that’s +4 from 22? That breaks the pattern.
But looking back at the original: “6, __, 10, 12, 14, 16, __, 20, 22, 26”
Perhaps it’s a typo and should be 24? Or maybe it’s two different patterns? Unlikely for this level.
I think it’s safe to assume it’s counting by 2s, so the missing are 8 and 18, and 26 might be a typo — but since we have to fill blanks, we’ll put 8 and 18. The last number 26 is given, so we don’t change it.
So missing: 8, 18

7. 100, 90, __, 70, 60, __, 40, __, 20, 10, 0
→ Counting down by 10s.
Missing: 80, 50, 30

8. 4, 8, 12, __, 20, __, 28, 32, 40
→ Counting by 4s.
Missing: 16, 24

9. __, 11, 10, 9, __, 7, __, 5, 4, 3
→ Counting down by 1s.
Missing: 12, 8, 6

10. 20, 40, 60, 80, 100, __, 140, __, 180, 200
→ Counting by 20s.
Missing: 120, 160

Now, Part B: Put each number in a row and complete the following number patterns.

A. 3, 1, 1.5, __, 2.5, 3, 3.5, 4.5, __
Wait — let’s look: 3, 1, 1.5, ?, 2.5, 3, 3.5, 4.5, ?
This seems messy. Maybe it’s not sorted? The instruction says “put each number in a row” — probably means arrange them in order? But the numbers given are: 3, 1, 1.5, 2.5, 3, 3.5, 4.5, 5.5 — wait, the sequence has duplicates and gaps.
Looking at the pattern: after 1, it goes 1.5, then ?, then 2.5, 3, 3.5, 4.5, ?
From 1.5 to 2.5 is +1, but there’s a blank in between.
Perhaps it’s increasing by 0.5? Let’s see:
Start from 1: 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5 — but the given sequence starts with 3, then 1, which is confusing.
Wait — the instruction says: “Put each number in a row and complete the following number patterns.”
And the numbers listed are: 3, 1, 1.5, 2.5, 3, 3.5, 4.5, 5.5 — but in the sequence it’s written as:
A. 3, 1, 1.5, __, 2.5, 3, 3.5, 4.5, __
So perhaps the first two numbers are out of order? Or maybe it’s a pattern that decreases then increases?
Let’s list the positions:
Pos1: 3
Pos2: 1
Pos3: 1.5
Pos4: ?
Pos5: 2.5
Pos6: 3
Pos7: 3.5
Pos8: 4.5
Pos9: ?

From pos3 to pos5: 1.5 to 2.5 — difference of 1 over two steps, so +0.5 per step.
So pos4 should be 2.0
Then pos5: 2.5, pos6: 3.0, pos7: 3.5, pos8: 4.5 — wait, 3.5 to 4.5 is +1, not +0.5. Inconsistent.
Unless pos8 is 4.0? But it’s written as 4.5.
Perhaps the pattern is: after 1, it increases by 0.5 each time: 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5
But the sequence starts with 3, then 1 — maybe it’s a mistake, or perhaps we ignore the first two and start from 1?
The instruction says “put each number in a row” — probably means arrange all given numbers in order and then find the pattern.
Given numbers for A: 3, 1, 1.5, 2.5, 3, 3.5, 4.5, 5.5 — but in the pattern it’s listed as 3,1,1.5,_,2.5,3,3.5,4.5,_
So perhaps the intended sequence is from 1 onwards: 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5 — but we have only up to 4.5 and then blank.
In the sequence, after 4.5 is blank, and before that is 3.5, so likely +0.5, so 4.5 +0.5 =5.0? But then why is there a 5.5 mentioned?
Looking back: "A. 3, 1, 1.5, __, 2.5, 3, 3.5, 4.5, __" and the numbers include 5.5, so probably the last blank is 5.0 or 5.5?
If we assume the pattern is increasing by 0.5 starting from 1:
1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5
But in the sequence, we have 3 at the beginning, which might be a distractor or error.
Perhaps the sequence is: start from 1, then 1.5, then 2, then 2.5, etc., and the first 3 is misplaced.
To make sense, let's assume the pattern is: from position 2 onwards: 1, 1.5, ?, 2.5, 3, 3.5, 4.5, ?
From 1 to 1.5 is +0.5, then to ? should be +0.5 so 2.0, then to 2.5 is +0.5, then to 3 is +0.5, then to 3.5 is +0.5, then to 4.5 is +1.0 — inconsistency.
Unless 4.5 is a typo and should be 4.0? But it's written as 4.5.
Another idea: perhaps it's two interleaved sequences? Unlikely.
Let's look at the differences:
From pos2 (1) to pos3 (1.5): +0.5
Pos3 to pos4 (?): if +0.5, then 2.0
Pos4 to pos5 (2.5): +0.5
Pos5 to pos6 (3): +0.5
Pos6 to pos7 (3.5): +0.5
Pos7 to pos8 (4.5): +1.0 — this is the problem.
Then pos8 to pos9 (?): if +0.5, then 5.0, but we have 5.5 in the list.
Perhaps the 4.5 is meant to be 4.0? But it's written as 4.5.
Maybe the pattern changes. Or perhaps it's a mistake in the worksheet.
For the sake of completing, let's assume that from 1 onwards, it's increasing by 0.5, so:
After 1.5 comes 2.0, then 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5
But in the sequence, after 3.5 is 4.5, skipping 4.0, so perhaps it's +0.5 but 4.0 is missing, and 4.5 is correct, then next is 5.0 or 5.5?
The last number given in the list is 5.5, so probably the last blank is 5.0 or 5.5.
Let's count the terms:
The sequence has 9 positions:
1: 3
2: 1
3: 1.5
4: ?
5: 2.5
6: 3
7: 3.5
8: 4.5
9: ?

If we ignore the first 3, and start from 1:
1, 1.5, x, 2.5, 3, 3.5, 4.5, y
From 1 to 1.5: +0.5
1.5 to x: should be +0.5 -> x=2.0
x to 2.5: +0.5 -> good
2.5 to 3: +0.5
3 to 3.5: +0.5
3.5 to 4.5: +1.0 — this is double, so perhaps it's a mistake, and it should be 4.0? But it's written as 4.5.
Maybe the pattern is +0.5 until 3.5, then +1.0 to 4.5, then +1.0 to 5.5? So y=5.5
That could work: 3.5 to 4.5 is +1, 4.5 to 5.5 is +1.
But then what about the earlier part? From 1 to 3.5 is +0.5 steps, then +1.
It's inconsistent, but possible.
Perhaps the first 3 is not part of the pattern, and the pattern starts from 1.
I think for this level, it's likely that the pattern is increasing by 0.5, and the 4.5 is a typo, but since we have to fill, let's go with:
Blank at pos4: 2.0
Blank at pos9: 5.0 or 5.5? Given that 5.5 is in the list, and if we add 0.5 to 4.5, we get 5.0, but 5.5 is there, so perhaps it's 5.5.
Let's see the numbers provided for A: "3, 1, 1.5, 2.5, 3, 3.5, 4.5, 5.5" — so 5.5 is included, so likely the last blank is 5.5, but in the sequence, after 4.5 is the blank, so if we put 5.5, then it's +1.0, which matches the jump from 3.5 to 4.5.
So:
Pos4: 2.0 (between 1.5 and 2.5)
Pos9: 5.5 (after 4.5)
But then the sequence would be: 3,1,1.5,2.0,2.5,3,3.5,4.5,5.5 — which makes sense if we consider that from 1 onwards, it's increasing by 0.5, but with a jump at the end? No, from 3.5 to 4.5 is +1, which is not consistent.
Perhaps the 3 at the beginning is a red herring, and the pattern is from 1: 1,1.5,2,2.5,3,3.5,4,4.5,5,5.5 — but in the sequence, 4 is missing, and 4.5 is given, so maybe it's correct as is.
I think the best bet is to fill pos4 as 2.0 and pos9 as 5.0, assuming +0.5 throughout, and the 4.5 is a typo for 4.0, but since it's given as 4.5, perhaps for pos9, it's 5.5.
Let's calculate the difference: from pos7 (3.5) to pos8 (4.5) is +1.0, so from pos8 to pos9 should be +1.0, so 5.5.
And from pos3 (1.5) to pos4 (?) to pos5 (2.5): if pos4 is 2.0, then 1.5 to 2.0 is +0.5, 2.0 to 2.5 is +0.5, good.
So blanks: 2.0 and 5.5

B. 1/2, 1, 1 1/2, 2, __, 3, 3 1/2, 4, 4 1/2, __
→ This is clear: counting by halves.
1/2, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5
So missing: 2.5 (or 2 1/2) and 5 (or 5)

Now, summarizing all answers:

Part A:
1. 4, 10, 16
2. 2, 7, 9
3. 15, 21, 27
4. 40, 70, 100
5. 10, 20, 40
6. 8, 18
7. 80, 50, 30
8. 16, 24
9. 12, 8, 6
10. 120, 160

Part B:
A. 2.0, 5.5 (or 2, 5.5)
B. 2.5, 5 (or 2 1/2, 5)

For B, since it's fractions, better to use fractions: 2 1/2 and 5

For A, decimals are fine, but 2.0 can be written as 2, and 5.5 as 5.5 or 5 1/2.

In the context, for A, the numbers are given as decimals, so 2 and 5.5 is fine.

But let's confirm A again. In the sequence for A: "3, 1, 1.5, __, 2.5, 3, 3.5, 4.5, __" and the numbers include 5.5, so likely the last blank is 5.5.

And the first blank is between 1.5 and 2.5, so 2.

So for A: 2 and 5.5

For B: 2 1/2 and 5

Now, to write the final answer, since the user didn't specify which part, but the task is to complete all, so I'll list all.

But the final answer should be the completed patterns.

Since it's a worksheet, perhaps list the missing numbers for each.

But for the response, I'll provide the filled sequences or the missing numbers.

Given the format, I think providing the missing numbers for each part is sufficient.

So for Part A, questions 1 to 10, and Part B, A and B.

Final Answer will be the list of missing numbers.

But to be precise, let's box the answers as per the worksheet.

Since it's multiple parts, I'll write them out.

For the final answer section, I'll list the missing numbers in order.

But perhaps for clarity, I'll state:

Part A:
1. 4, 10, 16
2. 2, 7, 9
3. 15, 21, 27
4. 40, 70, 100
5. 10, 20, 40
6. 8, 18
7. 80, 50, 30
8. 16, 24
9. 12, 8, 6
10. 120, 160

Part B:
A. 2, 5.5
B. 2½, 5

For B, since it's fractions, use mixed numbers.

In A, 2.0 can be written as 2, and 5.5 as 5.5 or 5½, but in the sequence, it's decimals, so 5.5 is fine.

To match the format, for B, use fractions as given.

So for B: 2 1/2 and 5

Now, I think that's it.