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4-5 Easter Revision Quiz

Total questions: 136

Worksheet time: 4hrs 39mins

Name
Class
Date
1.

Find the nth term of the following sequence...


8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

2.

Find the nth term of the following sequence...


4, 11, 18, 25...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

3.

Given the nth term is 9-2n, what is the 7th term?

a)

1

b)

-5

c)

-4

d)

-3

4.

Find the 10th term of the sequence x, x+3, x+6, x+9, ...

(a)  

5.

Find the nth term for the following quadratic sequence...


-2, 1, 6, 13, 22...

a)

2n2 + 3

b)

2n2 - 3

c)

n2 + 3

d)

n2 - 3

6.

Find the nth term for the following quadratic sequence...


7, 15, 27, 43, 63...

a)

n2 + 2n + 3

b)

2n2 + 2n + 3

c)

n2 - 2n - 3

d)

2n2 - 2n + 3

7.

What is the next term of the sequence 23, 13, 16, 112, ...?\frac{2}{3},\ \frac{1}{3},\ \frac{1}{6},\ \frac{1}{12},\ ...?  


a)

116\frac{1}{16}  

b)

124\frac{1}{24}  

c)

136\frac{1}{36}  

d)

148\frac{1}{48}  

8.

How many females studied Spanish?

a)

13

b)

30

c)

24

d)

17

9.

A student is picked at random.

What is the probability the student is male who studies French?

a)

18/72

b)

24/72

c)

13/72

d)

17/72

10.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

11.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

12.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

13.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

14.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

15.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?

a)

75/80

b)

8/80

c)

13/80

d)

44/80

16.

Find the mean age. You may want to write out the table with an extra column.

a)

2.6

b)

6.5

c)

5.7

d)

5.5

17.

Find the median age

a)

7

b)

6.5

c)

6

d)

7.5

18.

Find the mode.

a)

4

b)

5

c)

0

d)

1

19.

Which is the modal class?

a)

140 ≤ h < 150

b)

150 ≤ h < 160

c)

160 ≤ h < 170

d)

170 ≤ h < 180

20.

To estimate the mean, we should use

a)

each class' lower bound

b)

each class' upper bound

c)

each class

d)

each class' middle value

21.

Why can we only estimate the mean for this given data?

a)

There's no need being precise

b)

We don't have the raw data

c)

Mr Chang is lazy

d)

We may have counted the students incorrectly

22.

Find the mean.

a)

10

b)

20

c)

30

d)

40

23.

Carolyn walked 3 1/3 km on Sunday and 4 2/5 km on Monday. How far did she walk in total in kilometres?

a)

7 3/8

b)

7 13/15

c)

7 11/15

d)

1 1/2

e)

9

24.

James and Fred went out on their bikes. James rode a total of 5 3/8 miles. Fred rode a total of 4 5/6 miles. How much further did James ride than Fred?

a)

1/2

b)

9 8/14

c)

10 5/24

d)

0.54

e)

13/24

25.

Adding four of the five fractions 1/2, 1/3, 1/6, 1/9 and 1/18 together gives a total of 1. Which fraction is not used?

a)

1/2

b)

1/3

c)

1/6

d)

1/9

e)

1/18

26.

Dean has a piece of wood that is 34\frac{3}{4} of a foot in length. He needs to cut pieces that are 116\frac{1}{16} of a foot long. How many pieces can Dean cut?

a)

9 pieces of woods

b)

10 pieces of woods

c)

11 pieces of woods

d)

12 pieces of woods

27.

Mr. Rivera brought home one crate of mangoes from the farm which contains 15 3415\ \frac{3}{4}   kilograms of green mangoes. He gave 3 233\ \frac{2}{3}  kilograms to his neighbor, the Manalos, 2 122\ \frac{1}{2}   kilograms to another neighbor, the Perezes, and gave the rest to his wife so they can be stored to ripen. How many kilograms of mangoes were left with Mr. Rivera’s family?

a)

11 71211\ \frac{7}{12} kilograms of mangoes

b)

10 71210\ \frac{7}{12} kilograms of mangoes

c)

9 7129\ \frac{7}{12} kilograms of mangoes

d)

8 7128\ \frac{7}{12} kilograms of mangoes

28.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

7/9

b)

77/99

c)

2/3

d)

7/99

29.

Write 0.8181....0.8181....  as a fraction in its simplest form.

a)

911\frac{9}{11}  

b)

819\frac{81}{9}  

c)

89\frac{8}{9}  

d)

8199\frac{81}{99}  

30.

Change the following recurring decimal into a fraction.


Write your answer in its simplest form.

a)

47/90

b)

52/99

c)

47/99

d)

52/90

31.

Change the following recurring decimal into a fraction.


Write your answer in its simplest form.

a)

24/55

b)

48/110

c)

432/990

d)

144/330

32.

Which fraction is a recurring decimal?

a)

58\frac{5}{8}

b)

1120\frac{11}{20}

c)

27\frac{2}{7}

33.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertically opposite angles

d)

Corresponding angles

34.

Which Angles are Vertically Opposite Angles?

a)

5 and 3\angle5\ and\ \angle3

b)

2 and 4\angle2\ and\ \angle4

c)

1 and 4\angle1\ and\ \angle4

d)

6 and 4\angle6\ and\ \angle4

35.
Solve for x
a)
5
b)
90
c)
25
d)
10
36.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
37.
Solve for x.
a)
16
b)
11
c)
50
d)
6
38.

Which statement is NOT true?

a)

Parallel lines have the same slope.

b)

Parallel lines intersect at one point.

c)

Perpendicular lines form a right angle.

39.

Calculate the missing angle.

a)

110º

b)

107º

c)

73º

d)

117º

40.
Which value of x will show that line m is parallel to line r?
a)
33
b)
25
c)
24
d)
20
41.
What is the value of x?
a)
13
b)
6.2
c)
29.8
42.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
43.
Identify the hypotenuse.
a)
x
b)
z
c)
w
44.
Find x.
a)
35
b)
20
c)
8
d)
12
45.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
46.

Which of the following is a right-angled

triangle?

a)
b)
c)
d)
47.

Find the length of the blue line IO...


Round your answer to 1 decimal place

a)

6.6 cm

b)

6.5 cm

c)

5.8 cm

d)

5.9 cm

48.

Find the length of the green line GJ...


Round your answer to 1 decimal place

a)

11.9 cm

b)

11.8 cm

c)

11.1 cm

d)

11.2 cm

49.

Find the size of the angle labelled x (to 1dp)

a)

60.0°

b)

30.0°

c)

26.6°

d)

63.4°

50.

Find the size of the angle labelled x (to 1dp)

a)

75.1°

b)

14.9°

c)

74.5°

d)

15.5°

51.

Find the size of the angle labelled x (to 1dp)

a)

36.9°

b)

53.1°

c)

38.7°

d)

51.3°

52.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
53.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
54.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
55.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

56.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

57.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
58.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
59.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48𝑜 . Find the height of the tree.


Which of the following is the correct diagram for the problem?

a)
b)
c)
d)
60.

Find the midpoint of the two coordinates...

a)

(4,7)

b)

(4,6)

c)

(5,7)

d)

(5,6)

61.

Find the gradient of the line joining the two coordinates...

a)

1

b)

2

c)

1.5

d)

3.5

62.

Find the gradient of the line joining the two coordinates...

a)

-3

b)

3

c)

-2

d)

2

63.

Find the other endpoint R of the line segment with the given endpoint  S(9, 1)S\left(9,\ 1\right)  and midpoint  M(1, 0)M\left(1,\ 0\right)  

a)

R(1 12, 9 12)R\left(1\ \frac{1}{2},\ -9\ \frac{1}{2}\right)  

b)

R(5, 12)R\left(5,\ \frac{1}{2}\right)  

c)

R(7, 1)R\left(-7,\ -1\right)  

d)

R(4, 12)R\left(4,\ \frac{1}{2}\right)  

64.

Find the other endpoint R of the line segment with the given endpoint  S(3, 2)S\left(-3,\ -2\right)  and midpoint  M(1, 2)M\left(-1,\ 2\right)  

a)

R(1, 2)R\left(-1,\ -2\right)  

b)

R(8, 312)R\left(-8,\ 3\frac{1}{2}\right)  

c)

R(2 12, 12)R\left(-2\ \frac{1}{2},\ \frac{1}{2}\right)  

d)

R(1, 6)R\left(1,\ 6\right)  

65.

Find the distance between  V(4, 5)V\left(-4,\ 5\right)  and  W(1, 2)W\left(1,\ 2\right) Round your answer to the nearest tenth. 

4 lines
66.

Find the distance between  Y(0, 3)Y\left(0,\ -3\right)  and  Z(8, 7)Z\left(-8,\ -7\right) Round your answer to the nearest tenth. 

4 lines
67.

What is the gradient of the line y=2x-3

(a)  

68.

What is the y-intercept of the line y=4x-6?

a)

6

b)

4

c)

4x

d)

−6

69.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

70.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

71.

When the line is downward sloping, the gradient is ____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

72.

When the line is a horizontal (flat), the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

73.

We can choose any two points on a line to find its gradient.

a)

True

b)

False

74.

In y = mx + c, what does the c represent?

a)

the amount of cents

b)

the constant c, represents the x-intercept

c)

the constant c, represents the y-intercept

d)

the gradient of the line

75.

What is y-intercept?

a)

the x-coordinate of the point where the line cuts the x-axis

b)

the x-coordinate of the point where the line cuts the y-axis

c)

the y-coordinate of the point where the line cuts the x-axis

d)

the y-coordinate of the point where the line cuts the y-axis

76.
Which of these lines has a negative gradient?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
77.
Which of these lines has a gradient of ½?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
78.

what is the gradient and y-intercept of the equation

y=4x+7y=4x+7

a)

gradient 4, y-intercept 7

b)

gradient -4, y-intercept -7

c)

gradient -7, y-intercept -4

d)

gradient 7, y-intercept 4

79.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

80.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

81.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

82.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
83.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
84.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
85.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
86.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
87.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
88.
How long did it take this object to travel back to its reference/starting point?
a)
20 s
b)
30 s
c)
60 s
d)
100 s
89.
At 60 seconds, how far had this object traveled? 
a)
0 m
b)
10 m
c)
20 m
d)
40 m
90.

How far from home was Emma at 9am?

a)

40 miles

b)

20 miles

c)

30 miles

d)

50 miles

91.

Work out Ben's speed for the first part of his journey

a)

30 km/h

b)

60 km/h

c)

15 km/h

d)

45 km/h

92.

How do you find the speed from a distance-time graph?

a)

Find the area under the graph

b)

Find the gradient of the line

c)

Read the height of the graph

93.

How do you find the distance travelled from a speed-time graph?

a)

Find the gradient

b)

Find the area under the graph

c)

Read the height of the graph

94.

How do you find the acceleration from a speed-time graph?

a)

Find the gradient

b)

Find the area under the graph

c)

Read the height of the graph

95.

How long is the train stopped for in total?

a)

5 minutes

b)

7.5 minutes

c)

10 minutes

d)

2.5 minutes

96.

Calculate the acceleration of the train at 2.5 minutes

a)

1 km/m2

b)

3.33 km/m2

c)

0.3 km/m2

d)

7.5 km/m2

97.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

98.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

99.

What slope is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

100.

What slope is represented here

a)

zero

b)

negative

c)

positive

d)

undefined

101.

What is the gradient of this line?

a)

4

b)

4/5

c)

-2

d)

-1/2

102.

What is the gradient of the following slope ?

a)

-2

b)

-1/2

c)

2

d)

-1

103.

What is the gradient of this slope ?

a)

5

b)

5/2

c)

5/3

d)

-5/3

104.

What is the gradient of this line?

a)

2

b)

-2

c)

1/2

d)

-1/2

105.

What is the gradient of the line AD?

a)

4/5

b)

-4/5

c)

5/4

d)

-5/4

106.

What is the gradient of the line TU?

a)

5

b)

-5

c)

0

d)

undefined

107.

What is the gradient of the following slope ?

a)

-2

b)

-1/2

c)

2

d)

-1

108.

What is the gradient?

a)

-5/1

b)

-5

c)

1/5

d)

5

109.

What is the gradient of this line?

a)

1

b)

0

c)

-1

d)

Undefined (or infinite)

110.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

111.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

112.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

113.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
114.

y=x

a)
b)
c)
d)
115.

y = x3

a)
b)
c)
d)
116.

y = 1/x

a)
b)
c)
d)
117.

y = 2x

a)
b)
c)
d)
118.
What is happening in the graph from point O to A?
a)
The object is moving SLOWLY
b)
The object is moving FAST
c)
The object is NOT moving
d)
The object is accelerating
119.

Calculate the distance travelled in section B.

(a)  

120.

Which of the graphs is most likely to have the title;


'Increase in house prices is slowing down'

a)
b)
c)
d)
121.

Which of the graphs is most likely to have the title;


'The number of people in full time education'

a)
b)
c)
d)
122.

Find the area of the compound shape. Give your answer to 1 decimal place...

a)

41.1cm2

b)

25.1cm2

c)

50.3cm2

d)

66.3cm2

123.

Find the area of the shape. Give your answer to 1 decimal place...

a)

63.6cm2

b)

254.5cm2

c)

127.2cm2

d)

56.5cm2

124.

Find the area of the compound shape. Give your answer to 1 decimal place...

a)

26.1cm2

b)

125.1cm2

c)

68.5cm2

d)

28.3cm2

125.

Find the area of this shape in cm2 cm^{2\ }  
(Just write the answer as a number)

(a)  

126.

Find the area of this shape in cm2 cm^{2\ }
(Just write the answer as a number)

(a)  

127.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
128.

Find the area of each figure, round your answer to nearest whole number.

a)

46

b)

44

c)

42

d)

40

129.

What is the perimeter of this shape?

a)

200 mm

b)

210 mm

c)

150 mm

d)

65 mm

130.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
131.
Lucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume
a)
96cm³
b)
54cm³
c)
80cm³
d)
24cm³
132.
a)
Spheres
b)
Cones
c)
Cylinders
d)
Prisms
133.

what is the volume

a)

241

b)

240

c)

-1

d)

21

134.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
135.

Find the volume of the figure. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

1,904 units³

d)

952 units³

136.

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

a)

1384 cm3

b)

706 cm3

c)

631 cm3

d)

882 cm3