Free Printable Autumn Term Numeracy Examination Practice 2025

1.

Write the improper fraction as a mixed number

²²/₃

a)

7 ²/₃

b)

7 ¹/₃

c)

7 ¹/₄

d)

7 ³/₄

2.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

3.

Write the mixed number as an improper fraction

3 ⁴/₉

(a)

4.

Write the mixed number as an improper fraction

7 ⁵/₁₁

(a)

5.

Write the mixed number as an improper fraction

2 ³/₅

(a)

6.

Write the mixed number as an improper fraction

4 ⁵/₈

(a)

7.

Write the improper fraction as a mixed number

$\frac{13}{4}$ .

a)

3 $\frac{3}{4}$

b)

3 $\frac{1}{4}$

c)

3

d)

4

8.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

9.

Brianna filled an bathtub with 6/8 gallon of water. Soon she realized that there was only 4/8 gallon of water. How much water leaked out of the tub?

a)

3/8

b)

2/8

c)

10/8

d)

10/12

10.

a)

1

b)

3

c)

9

d)

8

11.

Tim has 32 songs on his ipod. Three-eighths of those songs are by Bob Marley. How many Bob Marley songs does Tim have on his ipod?

a)

12 songs

b)

15 songs

c)

9 songs

d)

18 songs

12.

a)

3/8

b)

3-1/8

c)

1/24

d)

4/8

13.

36 divided by $\frac{3}{4}$

a)

36

b)

10

c)

48

d)

$13\ \frac{1}{3}$

14.

$1\ \frac{1}{2}\ \div\ 1\ \frac{1}{3}$

a)

$1\ \frac{1}{6}$

b)

$1\ \frac{1}{8}$

c)

$2$

d)

$1$

15.

What is the sum of these fractions?

a)

4/5

b)

3/20

c)

17/20

d)

4/20

16.

Simplify ¹²/₁₆

a)

³/₄

b)

²/₃

c)

¹⁰/₁₂

d)

²⁴/₃₂

17.

2 2/10 + 5 1/5 =
Simplify/Reduce if needed.

a)

5 3/4

b)

7 2/5

c)

3 3/5

d)

7 4/10

18.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

19.

Write the mixed number as an improper fraction

3 ⁴/₉

(a)

20.

Compare fractions

5/6____1/2

a)

<

b)

>

c)

=

21.

Compare fractions

7/8______9/10

a)

<

b)

>

c)

=

22.

Compare 3/4 and 1/2

a)

3/4 > 1/2

b)

3/4 < 1/2

c)

3/4 = 1/2

23.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

24.

5/10 ___ 2/7

a)

>

b)

<

c)

=

25.

Which is greater?
1/5 or 1/3

a)

1/5

b)

1/3

26.

1/2 ___ 4/9

a)

>

b)

<

c)

=

27.

Compare the fractions.
4/8 _ 3/5

a)

=

b)

>

c)

+

d)

<

28.

Compare 1/4 and 1/7

a)

1/4 > 1/7

b)

1/4 < 1/7

c)

1/4 = 1/7

29.

Compare the fractions. Use scratch paper to show your work. Choose the correct sign.
3/8 _ 1/4

a)

<

b)

=

c)

>

30.

Which is greater?

a)

3/4

b)

3/6

31.

Which is less?

a)

6/8

b)

3/8

32.

a)

<

b)

>

c)

=

33.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

34.

Which axis runs up and down?

a)

x

b)

y

35.

The coordinate (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

36.

Which axis runs horizontally?

a)

x

b)

y

37.

In the coordinate (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

38.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

39.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

40.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

41.

What will be the last coordinate of the rectangle?

a)

(1, 3)

b)

(8, 4)

c)

(8, 3)

d)

(7, 3)

42.

Is the coordinate (3,5) on the graph y=x+2?

a)

Yes

b)

No

c)

Don´t know

43.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

44.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

45.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

46.

The X axis is _______?

a)

vertical

b)

diagonal

c)

criss-cross

d)

horizontal

47.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

48.

What are the coordinates of Point C?

a)

(-4, -2)

b)

(-2,-4)

49.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

50.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

51.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

52.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

53.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

54.

What is the co-ordinate of the brown dot?

a)

(11, 1)

b)

11,1

c)

1,11

d)

(1,11)

55.

What is the co-ordinate of the letter B?

a)

(3,5)

b)

(5,3)

c)

(-5,3)

d)

(5,-3)

56.

Which pair of letters have the same value for x co-ordinate in their co-ordinate pair?

a)

A and G

b)

A and D

c)

E and G

d)

none of them

57.

Co-ordinate (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

58.

What is the co-ordinate for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

59.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

60.

a)

(0,-6)

b)

(-6,0)

c)

(0,0)

d)

(-6,-6)

61.

a)

(3,-2)

b)

(-2,3)

c)

(-2,-2)

d)

(3,3)

62.

a)

(-4,-3)

b)

(-3,-4)

c)

(-3,4)

d)

(4,-3)

63.

The yellow square is at coordinate

a)

(-3,2)

b)

(2,-3)

c)

(-2,3)

d)

(-3,-2)

64.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

65.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

66.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

67.

Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

a)

(-1,3)

b)

(5,3)

c)

(5,8)

d)

(3,5)

68.

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

a)

dilation

b)

translation

c)

rotation

d)

reflection

69.

Determine where X' would be if you translated 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

70.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

71.

The result of a transformation.

a)

Pre-image

b)

Image

72.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

73.

Write the rule for this translation:
Slide 3 up and 2 right

a)

(x, y)---->(x + 3, y + 2)

b)

(x, y)-----> (x+2, y + 3)

c)

(x, y)----> (x - 2, y + 3)

74.

Point M (-3, 5) is translated using this rule.
(x, y) ----> (x - 1, y)
What are the coordinates of M'?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

None of these

75.

What rule describes the translation?

a)

(x - 6, y + 2)

b)

(x - 2, y + 6)

c)

(x + 2, y - 6)

d)

(x + 6, y - 2)

76.

Determine how to translate triangle ABC to triangle A'B'C' ?

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

77.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

78.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

79.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

80.

Another name for Reflection is...

a)

flip

b)

turn

c)

slide

d)

dilation

81.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

82.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

83.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

84.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

85.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

86.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

87.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

88.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

89.

Which graph shows the pre-image reflected over y-axis?

a)

b)

c)

d)

90.

Which axis is the horizontal (left-right) one?

a)

x-axis

b)

y-axis

91.

Which picture shows a 90^oclockwise rotation?

a)

b)

c)

d)

92.

Which picture shows a 90^oanticlockwise rotation?

a)

b)

c)

d)

93.

Which picture shows a 180^o rotation?

a)

b)

c)

d)

94.

Which picture shows a 90^o clockwise rotation?

a)

b)

c)

d)

95.

Which picture shows a 90^o anticlockwise rotation?

a)

b)

c)

d)

96.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

97.

$\angle4$ and $\angle8$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

98.

a)

55^o alternate

b)

55^o corresponding

c)

125^o alternate

d)

125^o corresponding

99.

What is a transversal?

a)

A line that intersects two or more lines

b)

The angles opposite of each other when two lines cross

c)

Two angles whose sum measures 180 degrees

d)

Lines that intersect to form a 90 degree angle

100.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

101.

a)

135°

b)

145°

c)

35°

d)

45°

102.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

103.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

104.

Find the missing angle.

a)

60°

b)

70°

c)

50°

d)

140

105.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

106.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

107.

∠C and ∠F are in what type of relationship?

a)

Supplementary

b)

Vertical

c)

Alternate interior

d)

Alternate exterior

108.

What relationship exists between angles 1 and 5

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

109.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

110.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

e)

1/χ

111.

Evaluate 2³+ 3²

a)

72

b)

36

c)

12

d)

17

112.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

113.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

114.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

115.

What is the missing index?(2⁶)^x = 2¹⁸

a)

12

b)

3

c)

10

d)

4

116.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

117.

Calculate 11a⁵ x 8a⁷

a)

88a¹²

b)

88a³⁵

c)

19a¹²

d)

19a³⁵

118.

Find a¹⁰ ÷ a²

a)

a⁸

b)

a⁵

c)

a¹²

d)

a¹⁰²

119.

Which of the following is the AREA formula for a rectangle?

a)

$Area=b\cdot h$

b)

$Area=\frac{b\cdot h}{2}$

c)

$Area=\pi r^2$

d)

$Area=l^4$

120.

How do you find the PERIMETER of a rectangle?

a)

Multiply the sides together

b)

Add up the lengths of all the sides

c)

Add a bunch of random letters together

d)

Multiply the sides together, then remove two of them

121.

Which of the following is the AREA formula for a triangle?

a)

$Area=b\cdot h$

b)

$Area=\frac{b\cdot h}{2}$

c)

$Area=\pi r^2$

d)

$Area=l^4$

122.

How do you find the PERIMETER of a triangle?

a)

Multiply the sides together

b)

Add up the lengths of all the sides

c)

Add a bunch of random letters together

d)

Multiply the sides together, then remove two of them

123.

Using the formula for the area of a rectangle, solve for the area of the rectangle.

a)

24 cm²

b)

11 cm²

c)

5 cm²

d)

2.3 cm²

124.

Find the perimeter of the following rectangle.

a)

24 cm

b)

11 cm

c)

22 cm

d)

10 cm

125.

Using the formula for the area of a triangle, solve for the area of the triangle.

a)

24 cm²

b)

48 cm²

c)

60 cm²

d)

30 cm²

126.

What is the perimeter of the rectangle?

a)

28 in

b)

46 in

c)

56 in

d)

98 in

127.

Find the perimeter of this triangle.

a)

12 in

b)

22 in

c)

18 in

d)

24 in

128.

Which of the following expressions would not help me find the area of this rectangle?

a)

5 x 10

b)

10 x 5

c)

5 + 10

129.

Area is measured in:

a)

feet

b)

centimeters

c)

square units

d)

inches

130.

What is the area of this triangle?

a)

14 units²

b)

24 units²

c)

48 units²

131.

Find the area.

a)

25.9 yd²

b)

12.95 yd²

c)

6.475 yd²

d)

12.95 m²

132.

Find the perimeter

a)

25cm

b)

35cm

c)

50m

d)

100cm

133.

Find the area.

a)

110 square meters

b)

210 square meters

c)

126 square meters

d)

150 square meters

134.

If $a=-2,\ b=3$ calculate the value of $2a+3b$

a)

$5$

b)

$4$

c)

$11$

d)

$10$

135.

The number in front of a variable is called a (a)

136.

How many terms are there?

$2a+3b-6$

(a)

137.

Calculate the value of $2a^2$ if $a=3$

(a)

138.

If $a=1,\ b=2\ and\ c=-2$ calculate the value of $abc$

a)

-4

b)

$4$

c)

$22$

d)

$-22$

139.

The number in front of a variable is called a (a)

140.

Calculate the value of $2a^2$ if $a=3$

(a)

Autumn Term Numeracy Examination Practice 2025

Total questions: 140

Worksheet time: 9hrs 58mins

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