Free Printable Grade 6 End of Term 3 revision 2022-2023

1.

Which term indicates that we should add?

a)

Increased by

b)

Less than

c)

Times

d)

Divided into

2.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

3.

54 + 12

a)

Twelve increased by fifty four

b)

Fifty four increased by twelve

c)

The difference of fifty four and twelve

4.

7(4)

a)

The product of seven and four

b)

Seven minus four

c)

Quotient four

5.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

6.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

7.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

8.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t

a)

21

b)

11

c)

10

d)

22

9.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

10.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

11.

3(2y - 7)

a)

6y + 7

b)

6y - 7

c)

6y + 21

d)

6y - 21

12.

8(x + 5)

a)

13x

b)

8x + 13

c)

8x + 40

d)

8x + 5

13.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

14.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

15.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

16.

Which is an example of the commutative property of multiplication?

a)

4 x (1 x 2) = (4 x 1) x 2

b)

2 x 2 = 4 x 1

c)

2(3) = 2(4)

d)

3 x 4 = 4 x 3

17.

Which example DOES NOT show the commutative property?

a)

6 x 2=2 x 6

b)

3 x 1=3

c)

4 x 5=5 x 4

d)

3 x 1=3 x 1

18.

Which property of multiplication is shown?
(6+3) x 7 = 6 x 7 + 3 x 7

a)

Commutative Property

b)

Identity Property

c)

Associative Property

d)

Distributive Property

19.

5 x (7 + 9) = (5 x 7) + (5 x 9)

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Multiplying Property

20.

12 + 7 = 7 + 12
What property is this?

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Identity Property of Addition

21.

What property is this?
5 + (8 + 14) = (5 + 8) + 14

a)

Associative Property of Multiplication

b)

Distributive Property

c)

Identity Property

d)

Associative Property of Addition

22.

Name the property showed by the following statement.
3a = a3

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Addition Property of Zero (Identity)

23.

Name the property showed by the following statement.
a(bc) = (ab)c

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

24.

Use the Distributive Property to simplify:

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

25.

Can you simplify 3x + 7?

a)

Yes, you can add 3 and 7

b)

Yes, you can add 1x and 7

c)

No, you can't add them because they don't have like terms

26.

What is 2x + x?

a)

2x²

b)

2x

c)

3x

d)

5x

27.

What are the coefficients?

7h + n + 2x -5

a)

7h, n, 2x

b)

7, 2, 5

c)

h, n, x

d)

7, 1, 2

28.

What are the constants?

4 - 6y - 3 + 7

a)

4, -3, 7

b)

6y

c)

6, 3, 7

d)

4,6, 3

29.

5 - 3y + j - 8

Which is/are constants?

a)

3, j

b)

5, -8

c)

3y, 5, j, 8

d)

y, j

30.

2(2x + 3) + 3(4x + 5)

a)

6x + 8

b)

16x + 21

c)

56x + 8

d)

16x + 8

31.

2z + 5 + 8p + n

Which are the coefficients?

a)

2,8

b)

2, 8, 5

c)

n

d)

2, 8, 1

32.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

33.

13+6k+11k-10

a)

17k+-13

b)

13k+17

c)

-13+17k

d)

3 + 17k

34.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

35.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

36.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

37.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

38.

If ,Principal = $500

Interest rate =5%

Time = 5 years

what is the interest earned?

a)

95

b)

105

c)

125

d)

135

39.

What does the "R" in the simple interest formula stand for?

a)

Principal

b)

Interest

c)

Rate

d)

Time

40.

Find the simple interest earned when the principal is $500 at a rate of 10% held in the bank for 8 years.

a)

$300

b)

$540

c)

$500

d)

$400

41.

What does the "I" in the interest formula stand for?

a)

Principal

b)

Interest

c)

Rate

d)

Time

42.

The simple interest formula is I=Prt. The P represents the principle. The principle is ___________________.

a)

the amount of money borrowed or deposited

b)

the percent interest for his year

c)

the amount taxed

d)

the amount the bank owes you for being a customer at their bank

43.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time

d)

Percent Rate

44.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

45.

The Principal and Interest are always___________.

a)

fraction

b)

decimal

c)

percent

d)

dollar amount

46.

Which answer choice is equivalent to:
3(2x+8)

a)

2x+24

b)

6x+24

c)

6x+8

d)

5x+11

47.

Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.

a)

2

b)

3

c)

4

d)

5

48.

Which mathematical property shown here proves that these two expressions are equivalent?
6(v+5v) = 6v+30v

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property

d)

Associative Property of addition

49.

Which expression is equivalent to:
8 + 3t

a)

None

b)

11t

c)

5t

d)

11

50.

An algebraic expression is an expression that _______________________.

a)

contains only numbers

b)

contains numbers, variables, and operations

c)

contains only numbers and operations

d)

contains only variables

51.

To trade a number for a letter in an expression to get a value.

a)

Solve

b)

Substitute

c)

Simplify

d)

Distribution

52.

Multiply the factor outside parentheses by every factor inside the parentheses.

a)

Factor

b)

Distribute

c)

Simplify

d)

Solve

53.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

54.

The quotient of a number and 8

a)

8g

b)

8/g

c)

g+8

d)

g/8

55.

y minus 12

a)

y + 12

b)

y - 12

c)

y x 12

d)

y / 12

56.

Write the phrase as an expression. " the total of 6 and 10"

a)

6+10

b)

6-10

c)

6⋅10

d)

6/10

57.

Write the phrase as an expression. "5 less than 8"

a)

8+5

b)

5-8

c)

5+8

d)

8-5

58.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

59.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

60.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

61.

What is the constant in the following expression: 5x + 4 + 3y - 2x

a)

5

b)

5x

c)

4

d)

3y

62.

What are the like terms that you can combine to simplify in the following expression?

-3x + x - 5 - 2 + 2x

a)

-3x + x + 2x

and

- 5 - 2

b)

-3x + x + 2x

and

5 - 2

c)

3x - 5 -2

and

x + 2x

d)

3x + x + 2x

and

5 + 2

63.

Which of the following is an example of Commutative Property?

a)

x + -x = 0

b)

5x + 0 = 5x

c)

3 + x = x + 3

d)

5(2x - 4) = 10x - 20

64.

Which of the following is an example of the Associative Property?

a)

(y + 2) + 4 = y + (2 + 4)

b)

4 x 1/4 = 1

c)

12a ⋅1 = 12a

d)

abc = cba

65.

Which of the following is an example of the Distributive Property?

a)

5p x 0 = 0

b)

(n + m) + p = n + (m + p)

c)

4(2a + 7) = 8a + 28

d)

6 + -6 = 0

66.

Which of the following is an example of the Additive Inverse property?

a)

3 + 4 + 5 = 5 + 4 + 3

b)

6a + -6a = 0

c)

x + (y + z) = (x + y) + z

d)

12m ⋅ 1 = 12m

67.

Which property says that the order of the terms does not affect the outcome in addition and multiplication problems?

a)

Commutative

b)

Associative

c)

Distributive

d)

Identity

68.

Which property says that the grouping of terms in multiplication and addition problems does not affect the outcome?

a)

Inverse

b)

Identity

c)

Associative

d)

Distributive

69.

True or False: The expressions listed below are equivalent?

5\left(g+14\right)

and

5g+14

a)

True

b)

False

70.

Choose the two expressions that are equal to:

5\left(2x+3\right)

a)

$10x+15$

b)

$5x+15+5x$

c)

$10x+8$

d)

$10x+10$

71.

Which expression is used to find the total area of the figure shown?

a)

9 (10 + 7)

b)

9 x 10 + 7

c)

(10 x 7) x 9

d)

9 x 10 x 7

72.

(2x + 5) - (6x + 3)

a)

8x + 8

b)

-4x + 2

c)

-4x + 8

d)

4x - 2

73.

(5x + 2) - (2x - 5)

a)

3x - 3

b)

7x + 7

c)

3x + 3

d)

3x +7

74.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

75.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

76.

Solve for a.
$7\ +\ \frac{a}{3}\ \ =\ \ 5$

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

77.

What is the first inverse operation needed to solve for p?

2p - 254= 900

a)

subtraction

b)

addition

c)

multiplication

d)

division

78.

Solve for the missing variable:

a)

y = 7

b)

y = 6

c)

y = 1/6

d)

y = 8

79.

Solve the equation:
$9+x=18$

a)

10

b)

8

c)

9

d)

2

80.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = -5

d)

x = 84

81.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

82.

Solve the equation
$\frac{w}{10}=7$

(a)

83.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

84.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

85.

-5y + 8
The coefficient of the variable is

a)

y

b)

8

c)

-5

d)

2

86.

3x + 7
The variable is:

a)

7

b)

3

c)

x

d)

-4

87.

What is the mathematical term for a number that has the numerator and denominator flipped?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal

88.

Which of the following is an equation?

a)

8z

b)

8z - 5

c)

8z = 2

d)

8 divided by x

89.

Which equation best describes the situation below?

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

90.

Solve for x

a)

x = 4

b)

x = 1

c)

2x = 4

d)

x = 2

91.

The inverse operation of addition is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

92.

What equation is modeled? Solve the equation.

a)

x -6 = 13 x = 19

b)

x + 6 = 13 x = 7

c)

x + 6 = 13 x = 8

d)

x - 6 = 13 x = 7

93.

What is the first step to solve this equation:
3x = 44

a)

Add 3 to both sides

b)

Subtract 3 from both sides

c)

Multiply 3 on both sides

d)

Divide 3 on both sides.

94.

Factorise 4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

95.

Factorise fully: 6x + 18

a)

3(2x + 6)

b)

6(x+3)

c)

2(3x+9)

d)

6(x+12)

96.

Factorise fully: 18 - 6x

a)

3(2x - 3)

b)

3(6 - 2x)

c)

6(3 - x)

d)

6(x - 3)

97.

Factorise -8x + 12

a)

-4(x+2)

b)

8(-x+4)

c)

-4(x+3)

d)

4(3-2x)

98.

Factorise: 15y - 5

a)

5(3y+1)

b)

15(y-10)

c)

5(3y-1)

d)

5(y-3)

99.

The length of a rectangle is x + 5 cm and the width is 4 cm. What is the area of the rectangle?

a)

A: 4x + 5

b)

B: x + 5 x 4

c)

C: 4(x + 5)

d)

D: x + 9

Grade 6 End of Term 3 revision 2022-2023

Total questions: 99

Worksheet time: 4hrs 18mins

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