Free Printable Toby's Year 9 EOY Revision

1.

In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.

a)

2 : 5

b)

5 : 2

c)

3 : 4

d)

None of the above

2.

The angles of a triangle are in the ratio 1 : 2 : 3. The angles are

a)

45⁰ , 45⁰, 90⁰

b)

30⁰, 60⁰, 90⁰

c)

90⁰, 60⁰, 30⁰

d)

30⁰, 90⁰, 60⁰

3.

Split £20 into the ratio 7:3

a)

£14 : £6

b)

£7 : £3

c)

£6 : £14

d)

£70 : £30

4.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

5.

What is the ratio of red to white tiles?

a)

13 : 12

b)

12 : 13

c)

12 : 25

d)

13 : 25

6.

A class has boys and girls in the following ratio, 6:15. What fraction of the class are girls?

a)

6/15

b)

6/21

c)

15/6

d)

15/21

7.

2b⁶ x 2b¹³

a)

2b¹⁹

b)

2b⁹

c)

4b¹⁹

d)

4b¹²

8.

Simplify the following
3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

9.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

10.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

11.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

12.

a)

3a¹⁵

b)

9a¹⁵

c)

9a⁸

d)

27a¹⁵

13.

3²x 3⁵

a)

3⁶

b)

3⁷

c)

3⁸

d)

3¹⁰

14.

2b⁶ x 2b¹³

a)

2b¹⁹

b)

2b⁹

c)

4b¹⁹

d)

4b¹²

15.

Simplify the following
3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

16.

6a⁵÷ 2a²

a)

3a³

b)

12a³

c)

4a¹⁰

d)

2a⁷

17.

Simplify
3s⁴x 2t²x s³

a)

5st¹⁴

b)

5s⁷t²

c)

12 s⁷t ²

d)

6 s⁷t²

18.

a)

x²

b)

x⁶

c)

x⁵

d)

x^-6

19.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

20.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

21.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

22.

a)

x⁴

b)

4x³

c)

3x³

d)

4x²

23.

a)

3a¹⁵

b)

9a¹⁵

c)

9a⁸

d)

27a¹⁵

24.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

25.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

26.

Simplify:

25 x ⁶

5 x ³

a)

20x³

b)

5x⁹

c)

5x³

27.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

28.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

29.

Calculate 11a⁵ x 8a⁷

a)

88a¹²

b)

88a³⁵

c)

19a¹²

d)

19a³⁵

30.

Find a^-80 ÷ a⁸

a)

a^-88

b)

a¹⁰

c)

a⁸⁸

d)

a^-72

31.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

32.

Simplify

a)

A

b)

B

c)

C

d)

D

33.

9a+a

a)

9a²

b)

9a

c)

10a

d)

11a

34.

a)

z¹

b)

1

c)

0

d)

z^-1

35.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

36.

a)

3y⁶

b)

6y³

c)

4y⁶

d)

3y⁴

37.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

38.

$\left(6a^8b\right)\left(10a^3b^4\right)$

a)

$60a^5b^{-3}$

b)

$60a^{24}b^4$

c)

$16a^{11}b^5$

d)

$60a^{11}b^5$

39.

What is 12⁰

a)

12

b)

1

c)

0

d)

⅚

40.

What is 4^-1

a)

¼

b)

⅛

c)

-4

d)

⅜

41.

What is 9^½

a)

3

b)

4.5

c)

81

d)

18

42.

125^⅓

a)

5

b)

25

c)

15

d)

41.6

43.

4^-½=

a)

2

b)

-2

c)

½

d)

-½

44.

16^-½

a)

¼

b)

½

c)

8

d)

-8

45.

Evaluate

a)

3

b)

18

c)

9

d)

6

46.

Evaluate

a)

-1/729

b)

-729

c)

1/729

d)

729

47.

Evaluate the following...

(fully simplify your answer)

a)

25

b)

5²

c)

25²

d)

(∛125)²

48.

Evaluate the following...

(fully simplify your answer)

a)

√(²⁵/₁₂₁)

b)

²⁵/₁₂₁

c)

⁵/₁₁

d)

⁵/₁₂₁

49.

Evaluate the following...

(fully simplify your answer)

a)

³/₂

b)

²⁷/₈

c)

²/₃

d)

∛(⁸/₂₇)

50.

Find side c?

a)

10

b)

8.08

c)

14

d)

12.12

51.

Find x.

a)

54.9

b)

35.1

c)

50.7

d)

39.3

52.

Find x.

a)

8.5

b)

31.9

c)

8.8

d)

34.2

53.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

54.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

55.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

56.

Solve for x.

a)

30°

b)

45°

c)

60°

d)

90°

57.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

58.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

59.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

60.

$Evaluate\ the\ function\ for\ f\left(-9\right)\ if\ f\left(x\right)=\frac{3}{5}x+8$

a)

$\frac{67}{5}$

b)

$-\frac{13}{5}$

c)

$-\frac{67}{5}$

d)

$\frac{13}{5}$

61.

$Given\ f\left(x\right)=\frac{1}{3}\left(x+6\right)\ what\ is\ f\left(-6\right)?$

a)

$\frac{2}{3}$

b)

$-8$

c)

$-6$

d)

0

62.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

63.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

64.

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

65.

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

a)

f(g(x))= -6x²+31

b)

f(g(x))= -6x²+24

c)

f(g(x))=18x²-84x+6

d)

f(g(x))=9x²-42x-1

66.

a)

-19

b)

-21

c)

17

d)

-1

67.

a)

36

b)

72

c)

27

d)

54

68.

a)

-16

b)

16

c)

8

d)

-8

69.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

70.

If f(x) = 3x-9, what is f^-1(12)?

a)

25

b)

9

c)

11

d)

7

71.

$f\left(x\right)=\frac{8x-3}{5}$
Find $f^{-1}\left(x\right)$

a)

$5\left(8x+3\right)$

b)

$\frac{5x}{8}+3$

c)

$\frac{5\left(x+3\right)}{8}$

d)

$\frac{5x+3}{8}$

72.

Find LCM of 2a and 3a²

a)

6a

b)

6a²

73.

Find LCM of 6ab and 9abp

a)

18ab

b)

18abp

c)

6ab

d)

6abp

74.

Find HCF of 5kt² and 3k³t

a)

15kt

b)

kt

c)

15k³t²

d)

k³t²

75.

Find LCM of 3pq, 7pqr², 10p²q²r²

a)

70p²q²r²

b)

105pq²r²

c)

210p²q²r²

d)

p²q²r²

76.

Find HCF of 6k, 15ks, and 30sr

a)

3

b)

3ks

c)

5

d)

5sr

77.

Find HCF of 12a⁵, 6a³, and 36a⁴

a)

36a⁵

b)

36a³

c)

6a⁵

d)

6a³

78.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

79.

Simplify:

a)

4(x+5)/3(x+5)

b)

4/3

c)

3/4

d)

x+5

80.

Simplify:

a)

x(x-5)/(x+5)(x-5)

b)

x/(x-5)

c)

x/(x+5)

d)

(x+5)/x

81.

a)

6/5x

b)

6/5

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

82.

Simplify the algebraic fraction.

a)

3/r

b)

r/3

c)

3r

d)

1/3r

83.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

84.

$\frac{6-3x}{2x^2-8}\div\frac{12x-48}{6x+12}$

a)

$\frac{3}{x-4}$

b)

$\frac{3}{4\left(x-4\right)}$

c)

$\frac{-3}{4\left(x-4\right)}$

d)

none of the above

85.

a)

4(x-y)

b)

6

c)

4

d)

6(x-y)

86.

Simplify:

a)

1/x²

b)

x

c)

1/x

d)

x²

87.

Multiply the two rational expressions and simplify the result:

\frac{x^2-4}{x^2-9}\cdot\frac{x-3}{x+2}

a)

$\frac{x-2}{x+3}$

b)

$\frac{x+2}{x-3}$

c)

$-\frac{2}{3}$

d)

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

88.

Multiply the two rational expressions and simplify the result:

\frac{x^2-4x+4}{x^2-5x}\cdot\frac{x}{x^2-2x}

a)

$\frac{x-2}{x-5x}$

b)

$\frac{x-2}{x^2-5x}$

c)

$\frac{x-2}{x-5}$

d)

$\frac{x-4}{x^2-5x}$

89.

a)

2a/0

b)

2a/5

c)

2a/10

d)

2a

90.

Combine over a common denominator:

\frac{x}{2}+\frac{5}{2}

a)

$\frac{5x}{2}$

b)

$\frac{x+5}{2}$

c)

$\frac{x+5}{4}$

91.

Combine over a common denominator:

\frac{2x}{3}-\frac{x}{4}

a)

$\frac{5x}{12}$

b)

$\frac{x}{7}$

c)

$\frac{x}{12}$

d)

$\frac{11x}{12}$

92.

For
$\frac{n}{3}+\frac{2n}{7}=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }{21}$ ,
What is in the numerator?

a)

$n+2n$

b)

$7n+6n$

c)

$7n+2n$

d)

$7n+3n$

93.

Simplify the expression

a)

b)

c)

d)

94.

a)

-49

b)

153/5

c)

49

d)

85

95.

Solve the equation

a)

x = 56

b)

x = -56

c)

x = 8/7

d)

x = -8/7

96.

a)

1/7

b)

47/36

c)

7

d)

23

97.

Find x.

a)

x = $\frac{8}{11}$

b)

x = 5

c)

x = $\frac{15}{14}$

d)

x = $\frac{5}{3}$

98.

solve for w

a)

8/3

b)

32/3

c)

5/8

d)

-9/8

99.

Solve the equation.

a)

x = -73/11

b)

v = -73

c)

v = -73/11

d)

v = 73/11

100.

Solve for w:
$\frac{6}{w+2}=4$

a)

$1$

b)

$-\frac{1}{2}$

c)

$-\frac{7}{2}$

d)

$\frac{1}{2}$

101.

Solve for x:

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

a)

$\frac{1}{2}$

b)

$1$

c)

$\frac{1}{3}$

d)

$-1$

102.

Solve:

\frac{4}{2x}=\frac{5}{x\ +\ 6}

a)

4

b)

5

c)

8

d)

2

103.

Calculate the sum of the angle measures in a polygon with 25 sides.

a)

360 degrees

b)

4500 degrees

c)

335 degrees

d)

4140 degrees

104.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1620°

b)

900°

c)

1080°

d)

1260°

105.

Find the measure of ONE interior angle on a regular polygon with 15 sides...

a)

$45\degree$

b)

$156\degree$

c)

$225\degree$

d)

$2340\degree$

106.

What is the measure of ONE interior angle of a regular 20-gon?

a)

90

b)

146

c)

162

d)

122

107.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

540°

b)

108°

c)

120°

d)

180°

108.

Find the angle sum of the interior angles of the polygon.

a)

180°

b)

540°

c)

720°

d)

1080°

109.

What is the SUM of the angle measures in a hexagon (6 sides)?

a)

720°

b)

1080°

c)

600°

d)

540°

110.

Find the value of X.

a)

90°

b)

98°

c)

100°

d)

115°

111.

Find the value of x.

a)

138

b)

540

c)

64

d)

128

112.

Does the following equation represent a vertical line, a horizontal line, or neither?

x = 4

a)

vertical

b)

horizontal

c)

neither

113.

Does the following equation represent a vertical line, a horizontal line, or neither?

y = −3

a)

vertical

b)

horizontal

c)

neither

114.

Does the following equation represent a vertical line, a horizontal line, or neither?

y = 2x + 3

a)

vertical

b)

horizontal

c)

neither

115.

What is the equation of the line in the graph?

a)

x = −1

b)

y = −1

c)

y = −1x

d)

y = x − 1

116.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

117.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

118.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

119.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

120.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

121.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

122.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

123.

Which line has the equation

y = 2x + 1

a)

b)

c)

d)

124.

Which line has the equation

y = x + 2

a)

b)

c)

d)

125.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

126.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

127.

Match the equation to the graph.

$y=\frac{1}{5}x+4$

a)

b)

c)

d)

128.

Match the equation to the graph:

$y\ =\ -\frac{1}{3}x\ +\ 3$

a)

b)

c)

d)

129.

331 students went on a field trip. Six buses were filled and seven students were transported by car. Create an equation to calculate the number of students on each bus.

a)

$7x+6=331$

b)

$6x+7x=331$

c)

$6x+7=331$

d)

$7x-6=331$

130.

Ahmed collected boxes to use when relocating. He bought seven boxes more to add to his collection. A week later half of all the boxes were destroyed in a fire. There are now only 22 boxes left. Create an equation to calculate the number of boxes he originally had.

a)

$7-x+\frac{1}{2}\left(7-x\right)=22$

b)

$x+7-\frac{1}{2}\left(x+7\right)=22$

c)

$x+7-\frac{1}{2}x=22$

d)

$7-x+\frac{1}{2}x=22$

131.

Jill sold a quarter of her comic books and then bought sixteen more. She now has 28. Create an equation to calculate the number of books she originally had.

a)

$\frac{3}{4}x+16=28$

b)

$\frac{1}{4}x+16=28$

c)

$\left(x-\frac{1}{4}\right)+16=28$

d)

$\left(x-\frac{3}{4}\right)+16=28$

132.

Write an equation for each of these, use 'n' for the unknown number.

Do not include spaces between numbers and the equals sign, use a / for divide.

I think of a number, multiply it by 3 then add 7, the answer is 19.

(a)

133.

Write an equation for each of these, use 'n' for the unknown number.

Do not include spaces between numbers and the equals sign, use a / for divide.

Three more than double a number is 15

(a)

134.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

135.

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

a)

A = 120 + 5x

b)

A = 120x + 5

c)

A = -120 + 5x

d)

A = 120 - 5x

136.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

137.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

a)

3h + 0.90d = S

b)

S = 90d + 3h

c)

S = 3d + 90h

d)

S = 3h + 9.0d

138.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

a)

222.5 = m(35 + 0.75)

b)

222.5 = 35 + 0.75m

c)

222.5 = 0.75 + 35m

d)

222.5 = 0.75(m + 35)

139.

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

a)

smallest24.5/largest25.5

b)

smallest23.6/largest29.5

c)

smallest24.5/largest25.5kg

140.

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

a)

395 and 385

b)

390.5 and 389.5

c)

400 and 300

d)

400 and 350

141.

A bag of flour has a mass of 1500 g (to the nearest 10 g). Find the maximum mass of 10 bags of flour.

a)

15050 g

b)

15000.5 g

c)

15000 g

d)

15050 kg

142.

A piece of A4 paper is 21.1 cm by 29.7 cm measured to the nearest 0.1cm. What are the lower and upper bounds of its area, in square centimetres, correct to 1 dp?

a)

624.1325 and 629.2125

b)

624.1 and 629.2

c)

624.13 and 629.21

d)

624 and 629

143.

Work out the upper bound and lower bound for 32 cm, measured to the nearest cm

a)

32.5 and 31.5

b)

31.5 and 32.5

c)

35 and 30

d)

33 and 31

144.

The number 79 has been rounded to the nearest unit. Find its lower and upper bounds

a)

78.5  ≤ x  <79.5

b)

78 ≤ x <80

c)

78.4 ≤ x<79.4

145.

The number 9000 has been rounded to the nearest 1000. Find its lower and upper bounds.

a)

8500 ≤ x < 9500

b)

8500  ≤ x < 9500

c)

8500.5 ≤ x < 9500.5

146.

The following number has been rounded to 1 significant figure.

800

Find the upper bound...

a)

850

b)

750

c)

849

d)

749

147.

The following number has been rounded to the nearest 5 metres.

125m

Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

148.

A rectangular field has a length of 9 m and a width of 11 m.

Lengths are measured to the nearest metre.

What is the greatest possible area of the field? Include all place value and DO NOT INCLUDE UNITS

(a)

149.

A cuboid measures 5 x 4 x 19 m measured to the nearest metre.

What is the least possible volume of the cuboid? Include all place value and DO NOT INCLUDE UNITS

(a)

150.

Given that each length is correct to the nearest centimeter, find the max error in the measure for the volume to 3 d.p. DO NOT INCLUDE UNITS

(a)

151.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

x+3y=11

x-3y=-1

(a)

152.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

x+2y=7

2x-y=4

(a)

153.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

x+y=4

y=x+8

(a)

154.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

6x-2y=7

2x+y=4

(a)

155.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

x=7-y

4x+y=4

(a)

156.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

9x+2y=-1

x-y=-16

(a)

157.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

$y=\frac{1}{2}x+4$

2x+y=14

(a)

158.

Solve, entering your answers as a coordinate in the form (x,y) [no spaces]

3x-2y=9

5x+3y=-4

(a)

159.

State the inequality shown by the following shaded region

a)

$x\le3$

b)

$x<3$

c)

$y\le3$

d)

$y<3$

160.

State the inequality shown by the following shaded region

a)

$x>-1$

b)

$x\ge-1$

c)

$y>-1$

d)

$y\ge-1$

161.

State the inequality shown by the following shaded region

a)

$x\ge-2$

b)

$x>-2$

c)

$y\ge-2$

d)

$y>-2$

162.

State the inequality shown by the following shaded region

a)

$2\le y\le6$

b)

$2\le x\le6$

c)

$2<y<6$

d)

$2<x<6$

163.

State the inequality shown by the following shaded region

a)

$-4\le y\le0$

b)

$-4<y\le0$

c)

$-4\le y<0$

d)

$-4<y<0$

164.

State the inequality shown by the following shaded region

a)

$y<x$

b)

$y>x$

c)

$y\le x$

d)

$y\ge x$

165.

State the inequality shown by the following shaded region

a)

$y<\frac{1}{3}x-1$

b)

$y>\frac{1}{3}x-1$

c)

$y<3x-1$

d)

$y>3x-1$

166.

State the inequality shown by the following shaded region

a)

$y<-\frac{5}{2}x+2$

b)

$y<-\frac{5}{2}x-2$

c)

$y<-\frac{2}{5}x+2$

d)

$y<-\frac{2}{5}x-2$

167.

State the inequality shown by the following shaded region

a)

$y\ge\frac{2}{3}x-4$

b)

$y\ge\frac{3}{2}x-4$

c)

$y>\frac{2}{3}x-4$

d)

$y\ge\frac{3}{2}x-4$

168.

State the inequality shown by the following shaded region

a)

$x-3y\ge0$

b)

$x+3y\ge0$

c)

$x+3y<0$

d)

$x+3y>0$

169.

State the inequality shown by the following shaded region

a)

$2x-7y+7>0$

b)

$2x-7y-7>0$

c)

$2x+7y-7>0$

d)

$2x+7y+7>0$

170.

State the inequality shown by the following shaded region. SELECT ALL CORRECT ANSWERS

a)

$5x-4y>-4$

b)

$5x-4y\ge-4$

c)

$5x-4y-4>0$

d)

$5x-4y+4>0$

e)

$4x-5y>-4$

171.

State the inequality shown by the following shaded region. SELECT ALL CORRECT ANSWERS

a)

$y>\frac{2}{3}x-4$

b)

$2x-3y<12$

c)

$2x-3y-12<0$

d)

$3x-2y<12$

e)

$3x-2y-12<0$

172.

Select all relevant inequalities which define the following region

a)

$x>2$

b)

$y<1$

c)

$x<2$

d)

$y>1$

e)

$x\ge-2$

173.

Select all relevant inequalities which define the following region

a)

$y<-x$

b)

$y<x$

c)

$y>-x$

d)

$y>2$

e)

$y\ge-2$

174.

Select all relevant inequalities which define the following region

a)

$x\ge-4$

b)

$x\le-4$

c)

$y\le3$

d)

$y\ge3$

e)

$y\ge\frac{1}{2}x+1$

175.

Select all relevant inequalities which define the following region

a)

$-4\le x<5$

b)

$-4<x\le5$

c)

$-5\le x<-1$

d)

$-5\le y<-1$

e)

$-5<y\le-1$

176.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

177.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

178.

6x² - 54 ≤ 0

a)

-3 ≤ x ≤ 3

b)

x ≤ -3 or x ≥ 3

c)

-3 < x < 3

d)

x < -3 or x > 3

179.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

180.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

181.

Solve the inequality:
-4a < 2(a + 12).

a)

a > -4

b)

a < 4

c)

a > 12

d)

a < -4

182.

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

183.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

184.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

185.

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

186.

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

a)

x-axis

b)

y-axis

187.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

188.

The two rectangles are scale drawings. If x is 20, what is the scale factor?

a)

2

b)

3

c)

4

d)

1/4

189.

Describe the transformation from the yellow shape to the blue shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (-1,-1)

d)

Rotation

90^o anti-clockwise

Centre (-1,-1)

190.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (-1,-1)

d)

Rotation

90^o anti-clockwise

Centre (-1,-1)

191.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

180^o

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (0,-1)

d)

Rotation

180^o

Centre (0,1)

192.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (0,1)

d)

Rotation

180^oanti-clockwise

Centre (0,1)

193.

Describe the transformation from the pink shape to the blue shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (1,0)

d)

Rotation

90^oanti-clockwise

Centre (1,0)

194.

Describe the transformation...

a)

Reflection in the line x = 3

b)

Reflection in the line x = -3

c)

Reflection in the line y = -3

d)

Reflection in the line y = 3

195.

Describe the transformation...

a)

Reflection in the line x = 0

b)

Reflection in the line y = 0

c)

Reflection in the line y = x

d)

Reflection in the line y = -x

196.

Describe the transformation...

a)

Reflection in the line x = 0

b)

Reflection in the line y = 0

c)

Reflection in the line y = x

d)

Reflection in the line y = -x

197.

Describe the transformation...

a)

Reflection in the line x = 2

b)

Reflection in the line x = -2

c)

Reflection in the line y = -2

d)

Reflection in the line y = 2

198.

Describe the transformation...

a)

Reflection in the line x = 0

b)

Reflection in the line y = 0

c)

Reflection in the line y = x

d)

Reflection in the line y = -x

199.

Describe the transformation...

a)

Reflection in the line x = 0

b)

Reflection in the line y = 0

c)

Reflection in the line y = x

d)

Reflection in the line y = -x

200.

Describe the transformation that takes the blue shape to the yellow shape...

a)

Enlargement

Scale Factor: 3

Centre: (0,0)

b)

Enlargement

Scale Factor: ¹/₃

Centre: (0,0)

c)

Enlargement

Scale Factor: -3

Centre: (0,0)

d)

Enlargement

Scale Factor: ¹/₃

Centre: (3,0)

201.

Describe the transformation that takes the yellow shape to the blue shape...

a)

Enlargement

Scale Factor: 3

Centre: (0,0)

b)

Enlargement

Scale Factor: ¹/₃

Centre: (0,0)

c)

Enlargement

Scale Factor: -3

Centre: (0,0)

d)

Enlargement

Scale Factor: ¹/₃

Centre: (3,0)

202.

Describe the transformation that takes the pink shape to the blue shape...

a)

Enlargement

Scale Factor: 2

Centre: (0,0)

b)

Enlargement

Scale Factor: ¹/₂

Centre: (0,0)

c)

Enlargement

Scale Factor: -2

Centre: (0,0)

d)

Enlargement

Scale Factor: -¹/₂

Centre: (2,0)

203.

Describe the transformation that takes the yellow shape to the blue shape...

a)

Enlargement

Scale Factor: 4

Centre: (0,0)

b)

Enlargement

Scale Factor: ¹/₄

Centre: (0,0)

c)

Enlargement

Scale Factor: -4

Centre: (0,0)

d)

Enlargement

Scale Factor: -4

Centre: (2,2)

204.

Which vector translates the blue shape to the pink shape...?

a)

b)

c)

d)

205.

Which vector translates the blue shape to the green shape...?

a)

b)

c)

d)

206.

Which vector translates the blue shape to the green shape...?

a)

b)

c)

d)

207.

Which vector translates the blue shape to the green shape...?

a)

b)

c)

d)

208.

Identify the correct description from the loci diagram...

a)

Closer to the line L than the point P

b)

Within 4m of the line L and at least 5m from the point P

c)

Within 5m of the point P and at least 4m from the line L

d)

Within 4m of the line L and within 5m from the point P

209.

Identify the correct description from the loci diagram...

a)

Within 6cm from B but closer to A than B

b)

Within 6cm from B but closer to B than A

c)

Within 6cm from A but closer to A than B

d)

Within 6cm from A but closer to B than A

210.

Identify the correct description from the loci diagram...

a)

Closer to BC than AD and within 6m from D

b)

Closer to AD than BC and within 6m from D

c)

Closer to BC than AD and within 6m from A

d)

Closer to AD than BC and within 6m from A

211.

Identify the correct description from the loci diagram...

a)

At least 10m from A and closer to BC than AD

b)

At least 10m from A and closer to AD than BC

c)

Within 10m from A and closer to BC than AD

d)

Within 10m from A and closer to AD than BC

212.

Identify the correct description from the loci diagram...

a)

Closer to A than B and within 4m from A

b)

Closer to B than A and within 4m from A

c)

Closer to A than B and at least 4m from A

d)

Closer to B than A and at least 4m from A

213.

Identify the correct description from the loci diagram...

a)

Closer to A than C and within 12m from D

b)

Closer to A than C and at least 12m from D

c)

Closer to AD than BC and within 12m from D

d)

Closer to AD than BC and at least 12m from D

214.

Identify the correct description from the loci diagram...

a)

Within 5m from the point P and within 4m from the line L

b)

At least 5m from the point P and within 4m from the line L

c)

Within 5m from the point P and at least 4m from the line L

d)

At least 5m from the point P and at least 4m from the line L

215.

Identify the correct description from the loci diagram...

a)

Within 8m from A and closer to AD than DC

b)

Within 8m from A and closer to DC than AD

c)

At least 8m from A and closer to AD than DC

d)

At least 8m from A and closer to DC than AD

216.

The locus of a point P about another point O such that its distance from O is constant is ________

a)

a line passing through O

b)

a circle with centre O

c)

two parallel line equidistance from O

d)

a curve with O in it

217.

The figure shows an equilateral triangle ABC. Which of the following lines may represent the locus of a point P such that AP = PB?

a)

b)

c)

d)

None of the above

218.

What is the definition of a locus of points?

a)

The sum of two numbers

b)

The product of two numbers

c)

A set of points that satisfy a certain condition or property

d)

The square root of a number

219.

Curtis jogs through a park that is bounded on two sides by straight intersecting streets. He starts at the intersection and jogs so that he is always the same distance from each street. Describe Curtis' path.

a)

the perpendicular bisector of the line formed by the streets

b)

a circle surrounding the point of intersection of the streets

c)

a line parallel to one of the intersecting streets

d)

the angle bisector of the angle formed by the streets

220.

There are two barrels in a field. Seely rides his dirt bike so that he is always equidistant from the two barrels. Describe his path.

a)

a line parallel to the segment connecting the barrels

b)

a circle surrounding the two barrels

c)

the perpendicular bisector of the segment connecting the barrels

d)

a circle surrounding the first barrel

221.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

ASA triangle

d)

SAS triangle

222.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Line bisector

d)

Perpendicular

Toby's Year 9 EOY Revision

Total questions: 222

Worksheet time: 7hrs 24mins

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