Algebra for Year 6 Primary School Students: Interactive Quizzes and Learning Resources

Question 1

You're at a shop and find a pack of stickers. The pack has an unknown number of stickers. How can you use a letter to stand for the number of stickers in the pack?

Accepted Answer

Use the letter 's' to stand for the number of stickers.

Answer

Write the number of stickers as a question mark.

Answer

Leave the space for the number of stickers empty.

Answer

Use the symbol '&' to stand for the number of stickers.

Question 2

Simplify the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

x + 6

Answer

4x + 6

Answer

4x

Question 3

Which of these is a variable?

Accepted Answer

x

Answer

10

Answer

5 + 3

Answer

ab

Question 4

Simplify the expression: 2x - 3y + x - y

Accepted Answer

3x - 2y

Answer

3x - 4y

Answer

3x + 4y

Answer

3x + 2y

Question 5

What is the gradient of the line represented by the equation y = 2x + 3?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 6

Which of the following expressions represents the perimeter of a square with side length 's'?

Accepted Answer

s + s + s + s

Answer

s - s - s - s

Answer

s x s

Answer

s ÷ s

Question 7

What is the coefficient of 'y' in the expression 2x + 3y?

Accepted Answer

3

Answer

2

Answer

x

Answer

y

Question 8

What is the value of 'y' when 'x' is 4 and the equation is y = x + 2?

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 9

Which of the following is NOT a use of algebraic expressions?

Accepted Answer

To find the area of a circle

Answer

To represent real-world scenarios

Answer

To solve problems

Answer

To create graphs

Question 10

What does 'x - 5' represent in algebra?

Accepted Answer

Five less than a number

Answer

Five more than a number

Answer

Five times a number

Answer

A number divided by five

Question 11

Solve the equation: x + 3 = 7

Accepted Answer

x = 5

Answer

x = 4

Answer

x = 6

Answer

x = 8

Question 12

Write the algebraic expression for 'double a number, then add five'

Accepted Answer

2x + 5

Answer

5 + 2x

Answer

x(2 + 5)

Answer

5x + 2

Question 13

Which of the following is a variable?

Accepted Answer

x

Answer

10

Answer

3.14

Answer

London

Question 14

Solve the equation: 3x - 5 = 10

Accepted Answer

x = 7

Answer

x = 3

Answer

x = 5

Answer

x = 15

Question 15

Which of the following is a variable?

Accepted Answer

5x

Answer

10

Answer

2 + 3

Answer

London

Question 16

Which of the following number patterns follows the rule: add 3?

Accepted Answer

3, 6, 9, 12

Answer

1, 4, 7, 10

Answer

2, 4, 6, 8

Answer

5, 10, 15, 20

Question 17

What is the answer to (3 + 4) x 5?

Accepted Answer

25

Answer

7

Answer

15

Answer

35

Question 18

Which of these expressions is the same as 2x + 4?

Accepted Answer

4 + 2x

Answer

x + 2 + 4

Answer

6x

Answer

8

Question 19

Which of these numbers is a prime number?

Accepted Answer

11

Answer

6

Answer

9

Answer

15

Question 20

To solve for x in the equation x + 5 = 10, what should you do?

Accepted Answer

Add 5 to both sides

Answer

Subtract 5 from both sides

Answer

Multiply both sides by 5

Answer

Divide both sides by 5

Question 21

Which expression shows 'the sum of a number x and 5'?

Accepted Answer

x + 5

Answer

5 - x

Answer

x * 5

Answer

5 / x

Question 22

Which of these shows the area of a rectangle with length 'l' and width 'w' using algebra?

Accepted Answer

l x w

Answer

l + w

Answer

l - w

Answer

l / w

Question 23

Solve for x: 2x + 3 = 7

Accepted Answer

2

Answer

1

Answer

3

Question 24

Which algebraic expression represents the inequality: 'A number decreased by 5 is greater than -3'?

Accepted Answer

x - 5 > -3

Answer

x - 5 < -3

Answer

-3 < x - 5

Answer

-3 > x - 5

Question 25

Which of the following is an algebraic expression that represents a number that is 5 more than a variable, x?

Accepted Answer

x + 5

Answer

5x

Answer

5 + x

Answer

x - 5

Question 26

Which of the following is a variable that can represent any number?

Accepted Answer

x

Answer

5

Answer

10

Answer

triangle

Question 27

What does the symbol '=' mean in algebra?

Accepted Answer

Equal to

Answer

Greater than

Answer

Less than

Answer

Plus

Question 28

Simplify the expression: 3x plus x

Accepted Answer

4x

Answer

2x

Answer

x

Answer

3x

Question 29

Solve for the variable x in the equation x plus 5 equals 10

Accepted Answer

x is equal to 5

Answer

x is equal to 15

Answer

x is equal to -5

Answer

x is equal to 10

Question 30

Which of the choices below is NOT a variable?

Accepted Answer

5

Answer

x

Answer

y

Answer

a

Question 31

Simplify the expression: 2 multiplied by (x plus 3)

Accepted Answer

2x plus 6

Answer

2x minus 6

Answer

x plus 6

Answer

x minus 6

Question 32

Which of the choices below is equivalent to the expression: x minus 5?

Accepted Answer

5 minus x

Answer

negative 5x

Answer

x plus 5

Answer

5x

Question 33

In algebra, which of the following is NOT a way that variables are used?

Accepted Answer

Using a symbol, like a circle, to represent a set of numbers

Answer

Representing an unknown value with a letter, like x

Answer

Showing the connection between two variables using a graph

Answer

Organizing data related to a variable in a table

Question 34

What multiplication expression shows 5 multiplied by an unknown number?

Accepted Answer

5 x

Answer

5 + x

Answer

5 - x

Answer

x/5

Question 35

Solve for x: x + 10 equals 15

Accepted Answer

5

Answer

10

Answer

15

Answer

25

Question 36

Which of these is NOT a property of multiplication?

Accepted Answer

Inverse

Answer

Commutative

Answer

Associative

Answer

Distributive

Question 37

What is the value of y when y minus 5 is 10?

Accepted Answer

15

Answer

5

Answer

10

Answer

20

Question 38

Which expression represents the area of a rectangle with a length of 4 cm and a width of x cm?

Accepted Answer

4x cm

Answer

4 + x cm

Answer

x - 4 cm

Answer

x/4 cm

Question 39

Solve for x: 3x minus 10 equals 20

Accepted Answer

15

Answer

5

Answer

10

Answer

20

Question 40

In an orchard, each tree has 3 apples. If there are x trees, what expression represents the total number of apples?

Accepted Answer

3x

Answer

3 - x

Answer

x / 3

Answer

x + 3

Question 41

Solve the equation: x + 5 = 12

Accepted Answer

7

Answer

5

Answer

12

Answer

17

Question 42

Which of the following sequences represents an addition pattern of 3?

Accepted Answer

4, 7, 10, 13, ...

Answer

4, 6, 8, 10, ...

Answer

4, 9, 16, 25, ...

Answer

4, 8, 12, 16, ...

Question 43

A rectangle has a length of 5 cm and a width of 3 cm. What is its perimeter?

Accepted Answer

16 cm

Answer

10 cm

Answer

8 cm

Answer

27 cm

Question 44

Which of the following expressions is equivalent to 2(x + 3)?

Accepted Answer

2x + 6

Answer

x + 9

Answer

x + 6

Answer

4x + 3

Question 45

What is the area of a square with a side length of s?

Accepted Answer

s²

Answer

4s

Answer

2s

Answer

s / 2

Question 46

Which of the following equations represents the relationship between the number of sides of a polygon (n) and its interior angles (i)?

Accepted Answer

i = (n - 2) x 180

Answer

i = n x 180

Answer

i = 180 / n

Answer

i = (n + 2) x 180

Question 47

What do you get when you simplify the expression 3(x + 2)?

Accepted Answer

3x + 6

Answer

6x + 2

Answer

9x + 6

Answer

3x + 2

Question 48

What is the value of x in the equation 4x + 2 = 18?

Accepted Answer

4

Answer

8

Answer

6

Answer

2

Question 49

What is the pattern in this sequence: 2, 5, 8, 11, ...?

Accepted Answer

Add 3

Answer

Multiply by 2

Answer

Divide by 2

Answer

Subtract 3

Question 50

In the equation y = 3x - 2, what is the number that tells us how steep the line is?

Accepted Answer

3

Answer

6

Answer

1

Answer

-2

Question 51

If we use the symbol * to stand for a secret number, what is the value of * in the equation * + 5 = 12?

Accepted Answer

7

Answer

5

Answer

17

Answer

6

Question 52

If 'n' stands for a number, how would you write '5 less than a number, n' as an expression?

Accepted Answer

n - 5

Answer

5 - n

Answer

5n

Answer

n + 5

Question 53

If 'a' equals 3 and 'b' equals 4, what is the answer to a + b?

Accepted Answer

7

Answer

6

Answer

12

Answer

1

Question 54

What is the rule for this pattern: 1, 3, 5, 7, 9?

Accepted Answer

Add 2 to the number before it

Answer

Subtract 2 from the number before it

Answer

Multiply the number before it by 2

Answer

Add 1 to the number before it

Question 55

A rectangle has a length of 'l' and a width of 'w'. Which expression shows its perimeter?

Accepted Answer

2l + 2w

Answer

l ÷ w

Answer

l × w

Answer

l + w

Question 56

Apples cost 50 pence each. If you buy 'a' apples, how much will they cost in pence?

Accepted Answer

50a

Answer

50 - a

Answer

a ÷ 50

Answer

50 + a

Question 57

There are 'm' minutes in one hour. How many minutes are there in 'h' hours?

Accepted Answer

60h

Answer

h + 60

Answer

h - 60

Answer

60 ÷ h

Question 58

A baker uses 3 eggs for every cake they bake. If they bake 'c' cakes, how many eggs will they need?

Accepted Answer

3c

Answer

c + 3

Answer

c - 3

Answer

3 / c

Question 59

What is the value of 'n' in this equation: n + 5 = 12?

Accepted Answer

7

Answer

60

Answer

5

Answer

17

Question 60

A pattern starts at 4 and goes up by 2 each time. Which expression shows this pattern, where 't' is the term number?

Accepted Answer

2t + 2

Answer

4t

Answer

2t

Answer

4t + 2

Question 61

Sarah is 'y' years old. Her brother is 3 years younger than her. Which expression shows her brother's age?

Accepted Answer

y - 3

Answer

3 - y

Answer

3y

Answer

y + 3

Question 62

A shop sells pencils in packs of 5. If 'p' represents the number of packs, how many pencils are there in total?

Accepted Answer

5p

Answer

5 / p

Answer

p - 5

Answer

p + 5

Question 63

In the equation y = x + 7, what happens to 'y' if we increase 'x' by 2?

Accepted Answer

y increases by 2

Answer

y increases by 7

Answer

y decreases by 2

Answer

y stays the same

Question 64

If 'a' represents the number of apples and 'b' represents the number of bananas, which expression shows the total number of fruits?

Accepted Answer

a + b

Answer

a ÷ b

Answer

a x b

Answer

a - b