Number Patterns Grade 5 Worksheets

Download Number Patterns Grade 5 Worksheets

Q.1) Find the missing numbers in the following series
20 , 19 , 17 , 14 , ________ , 5
a) 10
b) 11
c) 12




Q.2) Look at the patterns and complete the series.
1600 , 1400 , 1200 , 1000 , 800 , __ , __ , __
a) 1000 , 800 , 600
b) 800 , 600 , 400
c) 600 , 400 , 200

Q.3) Find the missing numbers in the following series
3 , 5 , 8 , 12 , ___ , 23
a) 17
b) 15
c) 20

Q.4) Find the missing numbers in the following series
5 , 5 , 8 , 8 , 11 , __ , __
a) 11, 14
b) 13, 16
c) 9, 12

Q.5) Find the missing numbers in the following series
2 , 6 , 24 , 120 , __
a) 960
b) 720
c) 840

Q.6) Look at the patterns and complete the series.
100 , 200 , 400 , 800 , ___ , ___
a) 2400 , 7200
b) 800 , 1600
c) 1600 , 3200

Q.7) Look at the patterns and complete the series.
1 , 5 , 9 , 13 , 17 , ___ , ___ , ___
a) 25 , 29 , 33
b) 21 , 25 , 29
c) 20 , 24 , 28

Number Patterns Grade 5 Worksheets Explanations

Q.1) Explanation – Number Patterns Grade 5 Worksheets

In the given series
20 , 19 , 17 , 14 , ________ , 5
20 – 1 = 19
19 – 2 = 17
17 – 3 = 14
We have observed that, every number is decreased by 1 , 2 , 3 and so on .
Therefore to get the missing number, we need to subtract 4 from the previous number
So, 14 – 4 = 10
Hence the missing number is 10
We can also see that subtracting next consecutive number i.e 5 from the missing number we get the next number of the series which is already given
10 – 5 = 5

Correct Answer – a) 10




Q.2) Explanation – Number Patterns Grade 5 Worksheets

In the given series
1600 , 1400 , 1200 , 1000 , 800 , ___ , ___ , ___
1600 – 200 = 1400
1400 – 200 = 1200
1200 – 200 = 1000
1000 – 200 = 800
We have observed that, every number is 200 less than the previous number. Therefore to get the next three numbers of the series we need to subtract 200 from the previous number
So, we can write the next numbers as
800 – 200 = 600
600 – 200 = 400
400 – 200 = 200
Therefore the next three numbers of the series are 600 , 400 , 200

Correct Answer – c) 600 , 400 , 200

Q.3) Explanation – Number Patterns Grade 5 Worksheets

In the given series
3 , 5 , 8 , 12 , ___ , 23
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
We have observed that, every number is increased by 2 , 3 , 4 and so on .
Therefore to get the missing number, we need to add 5 to the previous number 12
So, 12 + 5 = 17
Hence the missing number is 17
We can also see that adding next consecutive number i.e 6 to the missing number we get the next number of the series which is already given
17 + 6 = 23

Correct Answer – a) 17

Q.4) Explanation – Number Patterns Grade 5 Worksheets

In the given series
5 , 5 , 8 , 8 , 11 , __ , __
5 x 1 = 5
5 + 3 = 8
8 x 1 = 8
8 + 3 = 11
In the given series , the second number is 1 times the previous number and the number after the second number is 3 more than the previous number . Again the next number is 1 times the previous number and the number after it is 3 more than the previous number and so on .
Therefore to get the first missing number, we need to multiply the previous number by 1
So, 11 x 1 = 11
Now to get the next missing number, we need to add 3 to the previous number
11 + 3 = 14
Hence the missing numbers are 11 and 14

Correct Answer – a) 11, 14

Q.5) Explanation – Number Patterns Grade 5 Worksheets

In the given series
2 , 6 , 24 , 120 , __
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
We have observed that, every number is 3 times , 4 times , 5 times and so on to its previous number .
Therefore to get the missing number, we need to multiply 6 to the previous number .
So, 120 x 6 = 720
Hence the missing number is 720

Correct Answer – b) 720




Q.6) Explanation – Number Patterns Grade 5 Worksheets

In the given series
100 , 200 , 400 , 800 , ____ , ___
100 x 2 = 200
200 x 2 = 400
400 x 2 = 800
We have observed that, every number is 2 times the previous number. Therefore to get the next two numbers of the series we need to multiply the previous number by 2
So, we can write the next numbers as
800 x 2 = 1600
1600 x 2 = 3200
Therefore the next two numbers of the series are 1600 and 3200

Correct Answer – c) 1600 , 3200

Q.7) Explanation – Number Patterns Grade 5 Worksheets

In the given series
1 , 5 , 9 , 13 , 17 , __ , __ , __
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
We have observed that, every number is 4 more than the previous number. Therefore to get the next three numbers of the series we need to add 4 to the previous number
So, we can write the next numbers as
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore the next three numbers of the series are 21 , 25 , 29

Correct Answer – b) 21 , 25 , 29

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