# 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.