Free Printable Year 9 Paper 2 Revision

1.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

2.

Identify the hypotenuse.

a)

x

b)

z

c)

w

3.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

4.

Evaluate x.

a)

35

b)

20

c)

8

d)

12

5.

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

a)

5.2 m

b)

5.3 m

c)

5.7 m

d)

5.8 m

6.

What is the side from point A to point B called?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

7.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

8.

Use Pythagoras' Theorem to find c in this triangle:

a)

5.29

b)

10

c)

28

d)

100

9.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

10.

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

11.

Identify the hypotenuse.

a)

a

b)

b

c)

c

12.

Identify the hypotenuse.

a)

x

b)

z

c)

w

13.

solve for c

a)

7

b)

9

c)

4

d)

13

14.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

15.

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

a)

10 ft

b)

14 ft

c)

17 ft

d)

100 ft

16.

a)

76

b)

67

c)

85

d)

92

17.

a)

11

b)

12

c)

9.8

d)

11.5

18.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

19.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

20.

Which of the following is a right-angled

triangle?

a)

b)

c)

d)

21.

What are parallel lines?

a)

Lines that intersect

b)

Lines that are the same

c)

Lines that NEVER intersect

d)

Lines that are not straight

22.

Parallel lines have _________ gradients.

a)

the same

b)

different

c)

opposite reciprocal

d)

opposite

23.

Which of the following lines are parallel?

a)

b)

c)

24.

Which of the following lines are parallel? There is more than 1 answer!

a)

b)

c)

25.

What is the gradient of the following line? $y=-\frac{2}{3}x\ +7$

a)

$7$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$\frac{3}{2}$

26.

What would be the gradient of a line that is parallel to $y=3x-6$ ?

a)

$-6$

b)

$-3$

c)

$\frac{1}{3}$

d)

$3$

27.

What is the equation of a line that is parallel to y = 3x - 7 and goes through (2, 1) ?

a)

$y=3\left(2\right)-7$

b)

$y=3x-7$

c)

$y=3x+1$

d)

$y=3x-5$

28.

What is the equation of a line that is parallel to $y=\frac{2}{3}x+5$ and goes through $\left(6,-7\right)$ ?

a)

$y=\frac{2}{3}x-7$

b)

$y=\frac{2}{3}x-11$

c)

$y=\frac{2}{3}x-3$

d)

$y=\frac{2}{3}x-9$

29.

What is the equation of a line that is parallel to $y=-5$ and goes through $\left(-1,-8\right)$ ?

Hint: Think carefully about the gradient in the equation given!

a)

$y=0x-8$

b)

$x=-1$

c)

$y=0x-5$

d)

$y=0x-1$

30.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

31.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

32.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

33.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

34.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

35.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

36.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

37.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

38.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

39.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

40.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

41.

Are these line segments parallel or perpendicular or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Is {0} equivalent to ϕ?

a)

Yes

b)

No

43.

{ three } and { t, h, r, e, e } are :

a)

Equal

b)

Equivalent

c)

Equal and Equivalent

d)

Neither

44.

Empty set is a set with infinite elements.

a)

True

b)

False

45.

a "set" is collection of objects.

a)

True

b)

False

46.

Identify the empty set from the sets given below

a)

{ }

b)

The set of prime numbers divisible by 3

c)

{ 10 }

47.

The set of months of a year is an example of

a)

Proper set

b)

Infinite Set

c)

Finite set

48.

Identify the equal set from the sets given below

a)

A={ 3,5,9,11 } , B= { b,c,d,f }

b)

A= { a,b,c,d} , B= { e,f,g,h}

c)

A = { 2,4,6,8} , B ={ 4,8,2,6}

49.

Let $A=\left\{1,\ \left\{2\right\},\ \left\{3,4\right\}\right\}$ and $B=\left\{1,\ 2,\ 3,\ 4\right\}$ . Is the following statement true or false?

$2\in B$

a)

True

b)

False

50.

Let $A=\left\{1,\ \left\{2\right\},\ \left\{3,4\right\}\right\}$ and $B=\left\{1,\ 2,\ 3,\ 4\right\}$ . Is the following statement true or false?

$2\in A$

a)

True

b)

False

51.

Let $A=\left\{1,\ \left\{2\right\},\ \left\{3,4\right\}\right\}$ and $B=\left\{1,\ 2,\ 3,\ 4\right\}$ . Is the following statement true or false?

$1\in A$

a)

True

b)

False

52.

Which of the following statements is FALSE?

a)

$b\in\left\{b,\ g,\ 5,\ 8,\ 12\ \right\}$

b)

$x\notin\left\{b,\ g,\ 5,\ 8,\ 12\right\}$

c)

$3\in\left\{b,\ g,\ 5,\ 8,\ 12\right\}$

d)

$6\notin\left\{b,\ g,\ 5,\ 8,\ 12\right\}$

53.

Which is the correct set notation for A U B?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

54.

What type of set is denoted as either { } or ∅?

a)

Universal Set

b)

A set with no elements

c)

Disjointed Set

d)

Complement of a Set

55.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

56.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

57.

Which is the correct set notation for A intersection B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{21}

58.

What does the shaded portion of the Venn diagram represent?

a)

p

b)

p'

c)

p intersect q

d)

p union q

59.

What does the shaded portion of the Venn diagram represent?

a)

p complement

b)

p union q

c)

p intersect q

d)

q complement

60.

What does the shaded portion of the Venn diagram represent?

a)

Both Band AND art

b)

Only Art

c)

band or art or both

d)

Neither band nor art.

61.

What statement does the shaded region represent?

a)

A union B

b)

A intersect B

c)

A

d)

B

62.

if Universal set = { red, blue, green, yellow, purple} and

A = {red, blue,yellow}

what is A'?

a)

A' = {green, purple}

b)

A' = {purple}

c)

A' = {blue, red, purple}

d)

A' = {red, blue green}

63.

Which of the following operations on sets describes the given Venn Diagram?

a)

$A\ \cup\ B$

b)

$A\ \cap\ B$

c)

$A\ -\ B$

d)

$A'$

64.

Which of the following operations on sets describe the given Venn diagram?

a)

$A\ \cap\ B$

b)

$A\ -\ B$

c)

$A'\ \cup\ B'$

d)

$A\ \cup\ B$

65.

Which of the following operations on sets describe the given Venn Diagram?

a)

$\left(A\ \cap\ B\right)'$

b)

$\left(A-B\right)'$

c)

$\left(A\cup\ B\right)'$

d)

$A'\ \cup\ B$

66.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is $A\cup B$ ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

67.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is $A\ \cap\ B$ ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

68.

Solve
$3x+y=1$
$x-2y=19$

a)

$x=-4,\ y=3$

b)

$x=3,\ y=-4$

c)

$x=3,\ y=-8$

d)

$x=4,\ y=8$

69.

Solve

3x\ +\ 4y\ =\ 7

5x-2y=16

a)

$x\ =\ 3,\ y\ =\ -\frac{1}{2}$

b)

$x=-3,\ y\ =\ \frac{1}{2}$

c)

$x=\frac{1}{2},\ y=-3$

d)

$x=-\frac{1}{2},\ y=-3$

70.

Solve
$3x-4y=11$
$5x+6y=12$

a)

$x=0.5,\ y=-3$

b)

$x=3,\ y=0.5$

c)

$x=3,\ y=-0.5$

d)

$x=6,\ y=2$

71.

Solve
$2x+3y=0$
$x-3y=9$

a)

$x=2,\ y=-3$

b)

$x=3,\ y=-2$

c)

$x=-3,\ y=2$

d)

$x=-2,\ y=3$

72.

Solve
$8c+3d=-35$
$5c=-22-2d$

a)

$c=4,\ d=-1$

b)

$c=-4,\ d=-1$

c)

$c=-1,\ d=4$

d)

$c=1,\ d=-4$

73.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

74.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

75.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

76.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

77.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

78.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

79.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

80.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

81.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

82.

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

83.

A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.

a)

A = $2, B = $1

b)

A = $1, B = $2

c)

A = $1.20, B = $1.80

d)

A = $1.80, B = $1.20

84.

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

a)

59 adults and 141 children

b)

40 adults and 160 children

c)

60 adults and 140 children

d)

41 adults and 159 children

85.

Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.

a)

15 and 20

b)

5 and 15

c)

15 and 10

d)

5 and 10

86.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

87.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

88.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

89.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

90.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

91.

Use a calculator to find sin 45.

a)

.707

b)

1

c)

.809

d)

1.4

92.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

93.

Use the calculator to find tan 60

a)

.87

b)

1.7

c)

.5

d)

.11

94.

Use a calculator to find cos 0

a)

4

b)

3

c)

2

d)

1

95.

Use a calculator to find sin 100

a)

.98

b)

.17

c)

-5.6

d)

.76

96.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

97.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

98.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

99.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

100.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

101.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

102.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

103.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

104.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is across from the angle

d)

It is the bottom leg of the triangle

105.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

106.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

107.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

108.

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

a)

60.0°

b)

30.0°

c)

26.6°

d)

63.4°

109.

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

a)

75.1°

b)

14.9°

c)

74.5°

d)

15.5°

110.

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

a)

36.9°

b)

53.1°

c)

38.7°

d)

51.3°

111.

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

a)

36.9°

b)

53.1°

c)

38.7°

d)

51.3°

112.

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

a)

70.7°

b)

19.3°

c)

20.5°

d)

69.5°

113.

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

a)

48.8°

b)

41.2°

c)

61.0°

d)

29.0°

114.

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

a)

48.2°

b)

41.8°

c)

63.2°

d)

26.8°

115.

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

a)

42.8°

b)

47.2°

c)

36.3°

d)

53.7°

116.

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

a)

41.4°

b)

48.6°

c)

36.9°

d)

53.1°

117.

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

a)

55.3°

b)

34.7°

c)

39.4°

d)

50.6°

118.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

15.1 cm

b)

15.2 cm

c)

10.1 cm

d)

10.2 cm

119.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.3 cm

b)

16.7 cm

c)

11.8 cm

d)

8.4 cm

120.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.5 cm

b)

7.6 cm

c)

2.9 cm

d)

6.9 cm

121.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

122.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

5.7 cm

b)

5.8 cm

c)

17.1 cm

d)

8.6 cm

123.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.2 cm

b)

2.7 cm

c)

8.1 cm

d)

5.7 cm

124.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

10.3 cm

b)

10.2 cm

c)

17.5 cm

d)

8.6 cm

125.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

126.

How many outcomes are there with tossing a coin and rolling a dice?

a)

2

b)

6

c)

12

d)

24

127.

Which shows the sample space for flipping two coins?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

Dime, Nickel

128.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the CORRECT Sample Space List of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

129.

You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify*

a)

3/5

b)

4/10

c)

3/10

d)

6/10

130.

P(not A) =

a)

6/8

b)

3/4

c)

2/8

d)

1/4

131.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

132.

How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

a)

7

b)

5

c)

10

d)

12

133.

What is the sample space of rolling a fair dice?

a)

$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6\right\}$

b)

$\left\{2,\ 4,\ 6,\ 8,\ 10\right\}$

c)

$12$

d)

6

134.

A yogurt shop has a half-price mystery scoop special. The scoop could have vanilla or chocolate yogurt. It will also include either hot fudge, caramel, or marshmallow topping. Which list shows all the possible outcomes of the mystery scoop special?

a)

S = { vanilla, chocolate, hot fudge, caramel, marshmallow }

b)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow) }

c)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, marshmallow) }

d)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, caramel) (chocolate, marshmallow) }

135.

The result of a single observation of an experiment.

a)

Sample Space

b)

An outcome

c)

Equally Likely

136.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

137.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

138.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

139.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

140.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

141.

What is the probability that a female is chosen given they like a Toyota?

a)

.525

b)

.4627

c)

.6774

d)

.3143

142.

If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?

a)

5/9

b)

4/9

c)

1/2

d)

1/9

143.

At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager.

a)

2/3

b)

8/15

c)

2/15

d)

not enough information

144.

An automobile dealer decides to select a month for its annual sale. Find the probability that it will be September or October.

a)

1/12

b)

1/6

c)

1/4

d)

5/6

145.

Determine the likelihood of the following event:
Drawing a red card from a standard deck of cards

a)

1/2

b)

13/52

c)

1/4

d)

4/52

146.

_nC_r calculates...

a)

the number of ways to choose r things from n

b)

the number of ways to choose n things from r

147.

What could this calculation be used to find? Choose all possibilities!

a)

₇C₂

b)

₇C₅

c)

₅C₂

d)

₅C₇

148.

Without a calculator, evaluate:

₈C₂

a)

56

b)

28

c)

21

d)

35

149.

Without a calculator, evaluate:

₁₀C₃

a)

120

b)

135

c)

210

d)

30

150.

Without a calculator, evaluate:

₁₂C₃

a)

220

b)

66

c)

495

d)

1980

151.

Without a calculator, evaluate:

₁₂C₄

a)

220

b)

792

c)

495

d)

66

152.

Without a calculator, evaluate:

₉C₂

a)

36

b)

84

c)

18

d)

252

153.

Without a calculator, evaluate:

₈C₃

a)

56

b)

280

c)

168

d)

252

154.

Without a calculator, evaluate:

(₁₉C₁₀)- (₁₉C₉)

a)

0

b)

1

c)

19

d)

171

155.

Without a calculator, evaluate:

(₁₀C₁)- (₉C₁)

a)

0

b)

1

c)

9

d)

10

156.

Without a calculator, evaluate:

(₉C₇)÷ (₉C₆)

a)

⁹/₇

b)

⁶/₇

c)

³/₇

d)

⁷/₃

157.

Without a calculator, evaluate:

(₅C₃)× (₆C₅)

a)

60

b)

10

c)

150

d)

30

158.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

159.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

1

b)

3,628,800

c)

100

d)

1,814,400

160.

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.

a)

90

b)

729

c)

1000

d)

720

161.

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

a)

720

b)

36

c)

100

d)

500

162.

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

a)

324

b)

4,896

c)

816

d)

54

163.

How many ways can you arrange 7 books on a shelf?

a)

7

b)

49

c)

343

d)

5,040

164.

How many ways can you arrange 2 letters from the word

S Q U A R E?

a)

30

b)

140

c)

320

d)

45

165.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

a)

90

b)

100

c)

12

d)

24

166.

How many ways can you listen to 4 songs from a CD that has 12 selections?

a)

11,880

b)

1,320

c)

12

d)

95,040

167.

How many identification codes are possible using 4 letters if no letter may be repeated?

a)

15,600

b)

358,800

c)

7,893,600

d)

26

168.

a)

A

b)

B

c)

C

d)

D

169.

a)

A

b)

B

c)

C

d)

D

170.

a)

A

b)

B

c)

C

d)

D

171.

a)

A

b)

B

c)

C

d)

D

172.

a)

A

b)

B

c)

C

d)

D

173.

a)

A

b)

B

c)

C

d)

D

174.

a)

A

b)

B

c)

C

d)

D

175.

a)

A

b)

B

c)

C

d)

D

176.

a)

A

b)

B

c)

C

d)

D

177.

a)

A

b)

B

c)

C

d)

D

178.

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

179.

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

a)

Slope: 1/3
y-intercept: 1

b)

Slope: 1/3
y-intercept: -1

c)

Slope: -1/3
y-intercept: 1

d)

Slope: -1/3
y-intercept: 0

180.

Identify the slope-intercept equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

181.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

182.

Write the equation of the line with slope -2 through the point (7, -1).

a)

y = -2x + 15

b)

y = -2x -15

c)

y = -2x + 13

d)

y = -2x - 13

183.

Write the equation of the line with slope 3/5 through the point (20, 6).

a)

y = 3/5x - 6

b)

y = 3/5x +18

c)

y = 3/5x - 18

d)

y = 3/5x +6

184.

Write the equation of the line with slope 5/2 through the point (8, -2).

a)

y = 5/2x + 18

b)

y = 5/2x - 18

c)

y = 5/2x + 22

d)

y = 5/2x - 22

185.

Write the equation of the line through the points (-6, -19) and (2, 5).

a)

y = -7/2x + 12

b)

y = 3x + 11

c)

y = -7/2x - 40

d)

y = 3x - 1

186.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

187.

Which of the following is the slope-intercept form?

a)

m = (y₂ - y₁)/(x₂ - x₁)

b)

y = mx + b

c)

y - y₁ = m(x - x₁)

d)

ax + by = c

Year 9 Paper 2 Revision

Total questions: 187

Worksheet time: 7hrs 9mins

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