**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**