Free Printable year 8 Cat sample

1.

(19 - 7) ÷ 4 + 11

a)

14

b)

0.8

c)

15

d)

13

2.

How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4

a)

4⁷

b)

65,536

c)

4⁸

d)

7⁴

3.

The quotient of a number and 8

a)

8g

b)

8/g

c)

g + 8

d)

g/8

4.

Three times the sum of 2 and e.

a)

3e + 2

b)

3(e - 2)

c)

3(e + 2)

d)

2e + 3

5.

The number in front of the variable is called the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

6.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

7.

What do you call each part of an expression that is separated by a + or a -?

a)

coefficient

b)

constant

c)

variable

d)

term

8.

Write an expression for the following. 12 less than 6 times a number is thirty.

a)

30 + 6x - 12

b)

12 - 6x = 30

c)

6x -12 = 30

d)

6 - 12x = 30

9.

Simplify [ 5 ÷ ( 3 ⋅ 1) ](-3/5 )

a)

1

b)

-1

c)

-9

d)

9

e)

-6

10.

If f(x) = 3x² - x + 1 Find f(2a)

a)

6a² - 2a + 1

b)

3a² - 2a + 1

c)

12a² - 2a + 1

d)

36a² - 2a + 1

11.

What appears to be the solution to the system of equations shown in the graph below?

a)

(-4,-2)

b)

(-1,6)

c)

(-2,-6)

d)

(4,8)

12.

The average depth of an ocean is approximately 1.2 × 10⁴ feet. How is this depth written in standard form?

a)

120 feet

b)

1,200 feet

c)

12,000 feet

d)

120,000 feet

13.

Which equation is equivalent to
12(4x-5)=18?

a)

4x-5=6

b)

4x-5=30

c)

48x+60=18

d)

48x-60=18

14.

Solve

a)

125

b)

5

c)

1/5

d)

625

15.

What is the value of y in the following system of equations:
y=2x
y=4x-8

a)

0

b)

4

c)

8

d)

10

16.

Kelvin has 36 coins, all nickels and quarters. The total value of all these coins is $3.80. How many nickels does he have?

a)

10

b)

16

c)

18

d)

26

17.

Which statement regarding the number of solutions for the linear equation is true?

a)

There is exactly one solution

b)

There are no solutions

c)

There are infinite solutions

d)

There are exactly two solutions

18.

The equation y=50x+30 represents the amount of money, y, in Amy’s savings account over time, x. The equation y=30x+50 represents the amount in Sally’s savings account. How does the graph of Sally’s account differ from the graph of Amy’s account?

a)

The graph representing Sally’s account starts lower on the y-axis.

b)

The graph representing Sally’s account starts closer to the origin.

c)

The graph representing Sally’s account is steeper.

d)

The graph representing Sally’s account is flatter.

19.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

20.

Write an algebraic expression for the sum of a number and 8.

a)

8x

b)

x - 8

c)

x + 8

d)

x / 8

21.

Write an algebraic expression for 27 decreased by a number.

a)

27 + x

b)

27 - x

c)

x - 27

d)

27 / x

22.

Evaluate 4 · 1 + 6 · 16 + 0.

a)

100

b)

0

c)

8

d)

185

23.

Determine which relation is a function.

a)

b)

$y=\frac{1}{5}x+2$

c)

d)

{(3, 0), (– 2, – 2), (7, – 2), (– 2, 0)}

24.

Which choice is equivalent to the product below?
$\sqrt{45}\ \times\ \sqrt{10}$

a)

$\sqrt{55}$

b)

$15\sqrt{2}$

c)

$8\sqrt{2}$

d)

$5\sqrt{5}$

25.

Which choice is equivalent to the quotient below? $\frac{\sqrt{5}}{\sqrt{45}}$

a)

1/81

b)

1/3

c)

3

d)

9

26.

$\sqrt{\frac{2x}{3}}\ \times\sqrt{\frac{x}{6}}$ Which choice is equivalent to the product below when x > 0?

a)

$\frac{x}{9}$

b)

$\frac{x}{3}$

c)

$\frac{\sqrt{x}}{3}$

d)

$\frac{\sqrt{2x}}{9}$

27.

Are the following inverses of each other?

a)

True

b)

False

28.

2√5 + 4√5 =

a)

6√10

b)

8√10

c)

8√5

d)

6√5

29.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

30.

A (n) _______________ connects numers and variables with mathematical operations such as ( $+,-,\times,\div$ )

a)

function

b)

formula

c)

expression

d)

equation

31.

A (n) _______________ contains an equal sign $=$ . It is a statement that shows that the expression on each side of the equal sign are equal.

a)

Formula

b)

Function

c)

Expression

d)

Equation

32.

A(n) _____________________ is a relationship that maps a set of input values to a set of output values. Each input value should map to exactly one output value.

a)

Formula

b)

Function

c)

Expression

d)

Equation

33.

A(n) _____________________ is a type of equation that expresses the relationship between certain value quantities.

a)

Formula

b)

Function

c)

Expression

d)

Equation

34.

Which of the following is an equation

a)

2x -8

b)

2x + 5 = 15

c)

x+5= 4x-20

d)

y=3x+2

35.

Choose the ones that represent a function:

a)

Volume= base x height x width

b)

Cost = $5 x number of books

c)

3n + 2m

d)

m $\rightarrow$ 2m+1

36.

Monica says that $17=24-n$ is an equation.

a)

True

b)

False

37.

In the equation $2x+3=11$ , x is a particular value that can be found by solving the equation

a)

True

b)

False

38.

2x2x2x2x2=

a)

$2^4$

b)

$2^2$

c)

$2^5$

d)

$16$

39.

1, 3 ,5,7,9, are

a)

prime numbers

b)

composite numbers

c)

odd numbers

d)

even numbers

40.

$\sqrt{30+6}=$

a)

$6$

b)

$\sqrt{6}$

c)

$36$

d)

$1$

41.

$24^{0\ =}$

a)

$0$

b)

$1$

c)

$24$

d)

$24\times0$

42.

12 is a square root of

a)

$124$

b)

$144$

c)

$\sqrt{12}$

d)

$none\ of\ these$

43.

What is 3^₂in expanded form?

a)

3 x 2

b)

3 + 2

c)

3 x 3

44.

Write in index notation. 7 x 7 x 7 x 7 x 7 x 10

a)

7⁵+ 10

b)

7⁵x 10

c)

7⁵x 10¹

45.

2⁵ is the same as 2 x 5.

a)

True

b)

False

46.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

47.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

48.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

49.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

50.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

51.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

52.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

53.

Write an integer to match the following scenario, 11 strokes above par.

a)

11

b)

-11

c)

15

d)

-15

54.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

55.

What is an integer?

a)

A positive number

b)

A fraction

c)

A negative number only

d)

A negative or positive whole number

56.

Write an integer to match the following scenario, a loss of $30.

a)

-30

b)

-80

c)

30

d)

-8

57.

-15 - 3

a)

12

b)

-12

c)

-18

d)

18

58.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

59.

35 - (-35)

a)

0

b)

-70

c)

70

d)

1

60.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

61.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

62.

-12 ÷ 3

a)

-4

b)

9

c)

4

d)

-9

63.

Negative numbers are

a)

less than zero

b)

greater than zero

64.

Is absolute value always positive?

a)

yes

b)

no

65.

(-4) + 8 =

a)

12

b)

4

c)

-4

d)

-12

66.

-4 + (-9) =

a)

-13

b)

13

c)

5

d)

-5

67.

-3(-5) =

a)

15

b)

-15

c)

-8

d)

8

68.

a)

120 degrees

b)

80 degrees

c)

100 degrees

d)

0 degrees

69.

What kind of construction is displayed in this picture?

a)

A circle inscribed in a hexagon

b)

A hexagon inscribed in a circle

c)

A hexagon

d)

A circle

70.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

71.

Find the plan view for the solid shown...

a)

b)

c)

d)

72.

How many lines of symmetry are there on a regular pentagon?

a)

3

b)

4

c)

5

d)

6

73.

How many lines of symmetry are there on a rhombus?

a)

0

b)

1

c)

2

d)

4

74.

How many lines of symmetry are there on an isosceles triangle?

a)

0

b)

1

c)

2

d)

3

75.

How many axes of symmetry does a rectangle have?

a)

0 axis of symmetry

b)

1 axis of symmetry

c)

2 axes of symmetry

d)

4 axes of symmetry

76.

a)

120 degrees

b)

80 degrees

c)

100 degrees

d)

0 degrees

77.

Name the 3-D shape

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

78.

a)

Rectangular Prism

b)

Cube

c)

Rectangular Pyramid

d)

Triangular Prism

79.

What shape is this?

a)

Rectangular Prism

b)

Rectangular Pyramid

c)

Triangular Prism

d)

Triangular Pyramid

80.

What is a net?

a)

A flattened three-dimensional figure

b)

A two-dimensional shape

c)

The formula for volume

d)

The formula for area

81.

This is a net of what shape?

a)

Triangular Prism

b)

Rectangular Prism

c)

Cube

d)

Pyramid

82.

Which one is the correct net of a cube?

a)

A

b)

B

c)

C

d)

D

83.

Angle QTP has a measure of 88°. What is the measure of angle QTU?

a)

146°

b)

30°

c)

90°

d)

22°

84.

What is the measure of the following angle?

a)

11°

b)

170°

c)

180°

d)

29°

85.

RS is the segment bisector. If OQ = 32 and PO = 4x, what does x equal?

a)

8

b)

28

c)

128

d)

36

86.

Find AC

a)

7

b)

8

c)

22

d)

23

87.

If 3a + 5 = 5a - 7 and 5b + 7 = 22, then find sum of a and b.

a)

-3

b)

3

c)

6

d)

9

88.

What is the order of rotational symmetry for the shape below?

a)

0

b)

1

c)

2

d)

3

89.

What is the order of rotation in the recycling symbol?

a)

1

b)

2

c)

3

d)

1,000

90.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

91.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

92.

Identify the smallest angle of rotation that maps the image to itself.

a)

90°

b)

180°

c)

45°

d)

60°

93.

Identify the smallest angle of rotation that maps the image to itself.

a)

72°

b)

180°

c)

144°

d)

45°

94.

What is the angle of rotational symmetry?

a)

360°

b)

180°

c)

120°

d)

90°

95.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

96.

Find the order of rotational symmetry in this shape.

a)

order 3

b)

order 2

c)

order 1

d)

no order of rotation

97.

Find the order of rotational symmetry in this shape.

a)

6

b)

8

c)

7

d)

4

98.

What is the order of rotational symmetry for the shape below?

a)

4

b)

5

c)

6

d)

0

99.

The illustration shows a light ray striking an object.
In the illustration, the light ray striking the object is-

a)

absorbed

b)

stopped

c)

reflected

d)

refracted

100.

The bouncing off of light rays from the surface of an object such as a mirror or other shiny surface is called:

a)

mirror

b)

laser

c)

reflection

d)

refraction

101.

In order to see a picture it must

a)

produce light

b)

reflect light

c)

absorb light

102.

Which of the following is not a source of light?

a)

A. candle

b)

B. caver’s lamp

c)

C. mirror

d)

D. sun

103.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

104.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

105.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

106.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ counterclockwise

d)

180⁰

107.

The earth is tilted on its _____

a)

line

b)

equator

c)

axis

d)

core

108.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

109.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

110.

Are these shapes congruent?

a)

Yes

b)

No

111.

What does congruent mean?

a)

angles faces and sides or two of the same things

b)

Same size and shape

c)

same geometric angles

d)

equal measurement

112.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

113.

Which is NOT a shortcut to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

114.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

Not enough information

115.

What shortcut would you use to prove the triangles congruent?

a)

Not enough information

b)

SAS

c)

ASA

d)

SSA

116.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

117.

what are the properties of a rhombus? tick all that apply

a)

All sides are equal

b)

Opposite sides are Parallel

c)

opposite angles are equal

d)

1 pair of parallel sides

118.

What is the name of this quadrilateral

a)

kite

b)

Rectangle

c)

parallelogram

d)

trapezium

119.

Acute, obtuse or right angle?

a)

obtuse

b)

acute

c)

right angle

120.

The side lengths of this rectangle are...

a)

3 units by 3 units

b)

4 units by 3 units

c)

5 units by 3 units

d)

none of the above

121.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

122.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

123.

3 more than x

a)

3x

b)

3 + x

c)

x - 3

124.

3 more than x

a)

3x

b)

3 + x

c)

x - 3

125.

Half of a number

a)

x / y

b)

2 / x

c)

2x

d)

x / 2

126.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

127.

A number decreased by ten

a)

10x

b)

x/10

c)

10 - x

d)

x - 10

128.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

129.

Evaluate 24 - 4t for t = 4

a)

20

b)

24

c)

8

d)

6

130.

Sofia has a bag that contains n counters. Which one is the correct expression if:

"She puts in two more counters"

a)

n + 2

b)

n × 2

c)

n - 2

d)

n ÷ 2

131.

The temperature on Tuesday was t °C.

Which's the right expression when today's temperature is:

Twice as warm as it was on Tuesday.

a)

2t °C

b)

3t ° C

c)

½ ° C

d)

t ÷ 2 °C

132.

David has x DVDs. He buys six more.

How many DVD's does David now have?

(a)

133.

Andien is a years old and Barney is b years old.

What is the total of their age?

(a)

134.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

135.

3 more than x

a)

3x

b)

3 + x

c)

x - 3

136.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.
(1 and itself)

137.

Which number is NOT prime?

a)

3

b)

7

c)

17

d)

21

138.

All the factors of 15 are:

a)

1, 2, 3, 5, 13, 15

b)

1, 15

c)

1, 6, 9, 15

d)

1, 3, 5, 15

139.

Which is a NOT a factor of 9?

a)

0

b)

1

c)

3

d)

9

140.

Joe has listed the first 4 multiples of 7 as:
7 14 22 28
Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

141.

Is 35 prime or composite?

a)

prime

b)

composite

142.

Joe has listed the first 4 multiples of 7 as:
7 14 22 28
Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

143.

$9^2=18$ True or false?

a)

True

b)

False

144.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

145.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

146.

$^3\sqrt{8}=$

a)

2

b)

-2

c)

±2

d)

None

147.

$^3\sqrt{-8}$ =

a)

2

b)

-2

c)

±2

d)

None

148.

$^3\sqrt{64}=$

a)

-8

b)

8

c)

16

d)

4

149.

Select all perfect cubes

a)

2

b)

8

c)

27

d)

64

e)

9

150.

True or false? 9² is 18

a)

True

b)

False

151.

What is a square?

a)

Something you multiply by the 3rd power

b)

A shape

c)

A number you multiply by itself

152.

Is 225 a perfect square?

a)

Yes

b)

No

153.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

154.

Solve.
√9 × √100

a)

30

b)

-200

c)

900

d)

90

155.

a)

-10

b)

-6

c)

-4

d)

4

156.

a)

-12

b)

-3

c)

-6

d)

3

157.

a)

-30

b)

-15

c)

30

d)

15

158.

-72 ÷ 9

a)

Positive

b)

Negative

159.

Alaina bought 15 pieces of candy.

She wants to put them into bags of 5 equally.

How many bags will she have?

a)

5

b)

3

c)

4

d)

2

160.

$12\times-3=$

(a)

161.

$\frac{16}{-8}=$

(a)

162.

$-56\ \div-7=$

(a)

163.

solve -20 x -200

a)

-400

b)

-40

c)

4000

d)

-4000

164.

What is the sign of this multiplication products $\left(-1,024\right)\ \times\ 10\ =\ ?$

a)

Positive

b)

Negative

c)

Zero

d)

I don't know

165.

state whether the quotient s positive or negative : $-64\div\left(-4\right)$

a)

$positive$

b)

$negative$

year 8 Cat sample

Total questions: 165

Worksheet time: 6hrs 48mins

Similar Resources on Wayground