# Grade 5 Number Patterns Quiz

Grade 5 questions on number patterns are presented along with their detailed Solutions

## Questions

**Question 1:**Complete the pattern: 1 , 4 , 7 , 10 , __. What is the missing number?

**Question 2:**Identify the pattern: 5, 10 , 15 , 20 , __. What comes next?

**Question 3:**Identify the pattern: 2, 6 , 12 , 20, __. What comes next?

**Question 4:**Find the missing number: 9 , 7 , 10 , 8 , 11 , 9, 12, __.

**Question 5:**Complete the pattern: 1, 4 , 9 , 16, __. What is the missing number?

**Question 6:**Identify the pattern: 8, 18, 38, 68 ,__. What comes next?

**Question 7:**Complete the pattern: 2 , 3 , 5 , 7 , 11 , 13 , __. What is the missing number?

**Question 8:**Identify the pattern: 20, 10, 5, 2.5, __. What comes next?

**Question 9:**Find the missing number: 36, 20, 12, 8, 6, __.

**Question 10:**Complete the pattern: 64, 16, 4, 1, __. What is the missing number?

**Question 11:**Find the missing number: 12, 27, 57, 107, 217, __.

**Question 12:**Find the missing number: 0 , 1, 1, 2, 3, 5, 8 , 13 , 21 , __.

## Solutions

**Solution 1:**The numbers in the list are increasing by 3 (or adding 3) each time.

1

1 + 3 = 4

4 + 3 = 7

7 + 3 = 10

Missing number is 10 + 3 = 13.

**Solution 2:**The numbers in the list are increasing by 5 (or adding 5) each time.

5

5 + 5 = 10

10 + 5 = 15

15 + 5 = 20

Next number is: 20 + 5 = 25.

**Solution 3:**The pattern is given by the sum of consecutive even numbers (2, 4, 6, 8, 10, ...).

2

2 + 4 = 6

2 + 4 + 6 = 12

2 + 4 + 6 + 8 = 20

Next number is: 2 + 4 + 6 + 8 + 10 = 30

**Solution 4:**The pattern is made by subtracting 2 and adding 3.

9

9 - 2 = 7

7 + 3 = 10

10 - 2 = 8

8 + 3 = 11

11 - 2 = 9

9 + 3 = 12

Next number is: 12 - 2 = 10

**Solution 5:**The pattern is the square of numbers 1, 2 , 3 , 4 ...

1

^{2}= 1 × 1 = 1

2

^{2}= 2 × 2 = 4

3

^{2}= 3 × 3 = 9

4

^{2}= 4 × 4 = 16

The missing number is: 5

^{2}= 25.

**Solution 6:**The pattern is adding multiples of 10.

8

8 + 1 × 10 = 8 + 10 = 18

18 + 2 × 10 = 18 + 20 = 38

38 + 3 × 10 = 38 + 30 = 68

Next term: 68 + 4 × 10 = 68 + 40 = 108.

**Solution 7:**The is the list of prime numbers (2 , 3 , 5 , 7 , 11 , 13 , ...).

The missing number is the next prime number: 17.

**Solution 8:**The pattern is dividing by 2 each time.

20

20 ÷ 2 = 10

10 ÷ 2 = 5 ,

5 ÷ 2 = 2.5

Next number is : 2.5 ÷ 2 = 1.25,

**Solution 9:**The pattern is dividing by 2 and adding 2.

36

36 ÷ 2 + 2 = 18 + 2 = 20

20 ÷ 2 + 2 = 10 + 2 = 12

12 ÷ 2 + 2 = 6 + 2 = 8

8 ÷ 2 + 2 = 4 + 2 = 6

The missing number is: 6 ÷ 2 + 2 = 3 + 2 = 5

**Solution 10:**The pattern is dividing by 4 each time.

64

64 ÷ 4 = 16

16 ÷ 4 = 4

4 ÷ 4 = 1

The missing number is: 1 ÷ 4 = 0.25

**Solution 11:**The pattern is doubling and adding 3.

12

12 × 2 + 3 = 27

27 × 2 + 3 = 57

57 × 2 + 3 = 107

107 × 2 + 3 = 217

The missing number is: 217 × 2 + 3 = 437

**Solution 12:**The pattern is each number is the sum of the last two numbers.

0

1

1 + 0 = 1

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

8 + 5 = 13

13 + 8 = 21

The missing number is: 21 + 13 = 34

This pattern is called the Fibonacci sequence.