Canada Grade 6 Math Patterns in Mathematics Quiz

Identify the next number in the pattern: 2, 4, 8, 16, ___

• 20

• 24

• 32

• 64

Answer explanation

The pattern doubles each number: 2, 4 (2x2), 8 (4x2), 16 (8x2). Continuing this pattern, 16 doubled is 32. Therefore, the next number is 32.

What is the rule for the pattern: 5, 10, 15, 20, ___?

• Add 4

• Add 5

• Multiply by 2

• Subtract 5

Answer explanation

The pattern increases by 5 each time: 5 + 5 = 10, 10 + 5 = 15, 15 + 5 = 20. Therefore, to find the next number, we add 5 to 20, resulting in 25. Thus, the correct rule is to 'Add 5'.

Which of the following is a pattern of even numbers?

• 1, 3, 5, 7

• 2, 4, 6, 8

• 1, 2, 3, 4

• 3, 6, 9, 12

Answer explanation

The correct choice is 2, 4, 6, 8, as all these numbers are even. Even numbers are integers divisible by 2 without a remainder, while the other options contain odd numbers or a mix of odd and even.

Find the missing number in the pattern: 3, 6, 12, 24, ___

• 36

• 48

• 60

• 72

Answer explanation

The pattern doubles each number: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24. Continuing this, 24 x 2 = 48. Thus, the missing number is 48.

What is the algebraic expression for the pattern: 4, 8, 12, 16, ___?

Answer explanation

The pattern increases by 4 each time: 4, 8, 12, 16. This can be expressed as 4n, where n is the term number (1, 2, 3, 4). Thus, the correct algebraic expression is 4n.

If the pattern is 10, 20, 30, 40, what is the 6th term?

• 50

• 60

• 70

• 80

Answer explanation

The pattern increases by 10 each time: 10, 20, 30, 40. Continuing this pattern, the 5th term is 50 and the 6th term is 60. Therefore, the correct answer is 60.

Which of the following sequences is a geometric pattern?

• 1, 2, 3, 4

• 2, 4, 8, 16

• 5, 10, 15, 20

• 3, 6, 9, 12

Answer explanation

The sequence 2, 4, 8, 16 is geometric because each term is multiplied by 2 to get the next term. The other sequences are arithmetic, as they increase by a constant addition.

What is the next term in the pattern: 7, 14, 21, 28, ___?

• 32

• 35

• 42

• 49

Answer explanation

The pattern increases by 7 each time: 7 + 7 = 14, 14 + 7 = 21, 21 + 7 = 28. Continuing this, 28 + 7 = 35. Thus, the next term is 35.

Determine the rule for the pattern: 1, 4, 9, 16, ___

• Add 3, 5, 7, ...

• Multiply by 2

• Square the position number

• Subtract 1

Answer explanation

The pattern consists of perfect squares: 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2). The next number is 5^2, which is 25. Thus, the rule is to square the position number.

What is the 5th term in the pattern: 2, 5, 10, 17, ___?

• 26

• 28

• 30

• 32

Answer explanation

The pattern increases by consecutive odd numbers: 3 (5-2), 5 (10-5), 7 (17-10). The next increase is 9, so 17 + 9 = 26. Thus, the 5th term is 26.