Free Printable G8 S1 End of Term Revision 2

Worksheets

G8 S1 End of Term Revision 2

Total questions: 255

Worksheet time: 11hrs 33mins

Name

Class

Date

What is the correct law for multiplication? a^m x aⁿ=

a^m+n

a^m + aⁿ

a^mxn

a^mⁿ

Simplify: 3⁵ x 3⁷

3¹²

9¹²

3³⁵

9³⁵

Simplify: b¹⁷ x b⁵

b²²

b⁸⁵

(b²)²²

b¹²

Simplify: (3x²y³)⁰

3x²y³

Simplify: 3x³ × 6x⁸

18x¹¹

18x²⁴

9x¹¹

9x²⁴

Simplify: 4x²y × 9xy²

36x³y³

36xy³

13x²y²

13x³y³

Simplify: 64x¹⁶y¹² ÷ 4x⁸y³

16x⁸y⁹

16x²y⁴

60x⁸y⁹

60x²y⁴

Simplify: (y⁷)²

y¹⁴

y⁴⁹

y⁵

y⁹

Simplify: (3h²)³

27h⁶

27h⁵

9h⁶

9h⁵

10.

Simplify: (3a²b)² × (2ab)³

72a⁷b⁵

6a⁷b⁵

36a⁵b⁴

18a⁴b²

11.

Simplify: (4pq³)² ÷ (2p²q)³

2p^-4q³

8p⁴q³

16p⁴q²

4p^-4q²

12.

Simplify: (2x²y)² × (3xy³)⁰

4x⁴y²

12x⁴y²

4x⁵y⁵

12x⁵y⁵

13.

Simplify: 3x² × (2x)³ × x⁶

24x¹¹

24x⁹

6x¹¹

6x⁹

14.

Simplify: (3x)² × (2x³y)² ÷ 6y³

6x⁸y^-1

6x⁸y

3x⁷y

3x⁷y^-1

15.

Simplify the algebraic fraction.

-3/b

-b/3

-3b

16.

Simplify the algebraic fraction.

2pq

2/pq

pq/2

p/2q

17.

Simplify the algebraic fraction.

3/r

r/3

1/3r

18.

Simplify the algebraic fraction.

2/y

y/2

1/2y

19.

Simplify the algebraic fraction.

16/p²q

16p²q

p²q/16

16q/p²

20.

Simplify the algebraic fraction.

-m

-1/m

m/n

1/mn

21.

Simplify the algebraic fraction.

5cd/(3d-5c)

5cd/(3c-5d)

(3c-5d)/5cd

(3d-5c)/5cd

22.

Simplify the algebraic fraction.

1/a

8a/9

9/8a

9a/8

23.

Simplify the algebraic fraction.

6/xy(1+2x)

(1+2x)/6xy

xy/6(1-2x)

y/6x(1-2x)

24.

Simplify the algebraic fraction.

10/pq

q/10p

10q/p

p/10q

25.

Factor: x² + 2x – 3

(x - 2)(x + 1)

(x + 1)(x - 3)

(x + 2)(x - 1)

(x - 1)(x + 3)

26.

Factor:
x²+ 7x - 30

(x + 10)(x - 7)

(x - 10)(x + 3)

(x + 10)(x + 3)

(x + 10)(x - 3)

27.

Factor
x² + x - 6

(x + 2)(x + 3)

(x + 6)(x -1)

(x + 3)(x - 2)

(x +1)(x - 6)

28.

Factor
a² - a - 12

(a - 4)(a + 3)

(a + 6)(a - 4)

(a - 6)(a + 4)

(a + 4)(a - 3)

29.

Factor
3v² - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

30.

x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

31.

4x²- 64y²

Prime

( 2x - 32y) (2 x + 32y)

( 2x - 8y) (2 x - 8y)

( 2x - 8y) (2 x + 8y)

32.

25x²y²- 100

( 5xy - 10) (5xy + 10)

( 5xy + 10) (5xy + 10)

Prime

( 5xy - 50) (5xy + 50)

33.

9x²- 49y⁶

( 3x + 7y³) (3x + 7y³)

( 3x - 7y³) (3x + 7y³)

( 3x - 7y³) (3x - 7y³)

Prime

34.

x²+ 81

Prime

( x - 9 ) ( x + 9 )

( x + 9 ) ( x + 9 )

( x - 9 ) ( x - 9 )

35.

Factor p³- 3p² - 16p + 48

p² ( p - 3) (p - 3)

(p² - 16) (p - 3)

(p + 4) (p - 4) (p - 3)

36.

What is the factored form of x³+7x²-2x-14

(x²-2)(x-7)

(x²+2)(x-7)

(x²+2)(x+7)

(x²-2)(x+7)

37.

Simplify the product. Write the answer in standard form.
(x+2)(x-5)

x²-3x-10

2x²-3

x²-10

x²+2x-10

38.

20x³-25x²+4x-5

(5x²-5)(4x+1)

5(x²-1)(4x+5)

(5x²+1)(4x-5)

(5x²+1)(4x-1)

39.

x²- 400

( x - 200) ( x + 200)

( x + 20) ( x + 20)

Prime

( x - 20) ( x + 20)

40.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

41.

The solutions of the quadratic equation
x²+2x-15=0 are

x = 3 or x = 5

x = 5 or x = -3

x = -5 or x = 3

x = -3 or x = -5

42.

Solve for x. Round to the nearest hundredth if necessary.
3x²= 27

x = 9

x = 3

x = -3, 3

x = x = -9, 9

43.

What are the solutions to this equation?
(3x-2)(5x+1)=0

x=5/2,-1/3

x=1/5,-2/3

x=1/3,-5/2

x=2/3,-1/5

44.

What are the solutions of the equation x²+8x+15=0? (Solve by factoring)

-5,-3

-3,5

-5,3

3,5

45.

Find the size of angle B. You do not need to include units.

(a)

46.

Find the size of angle ACB.

(a)

47.

Find the size of angle DAB

(a)

48.

Find the size of x.

(a)

49.

Find the size of y.

(a)

50.

Find the size of angle x.

(a)

51.

Find the size of angle BCD.

(a)

52.

Find the angle POR.

(a)

53.

Find the angle ABC.

(a)

54.

Find the size of angle y.

(a)

55.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)

1/15

2/15

3/31

1/5

56.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

1/18

2/5

3/7

4/9

57.

Mrs. Cole has to choose two pieces of fruit for her lunch. If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples? (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)

1/4

7/30

1/32

1/64

58.

Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors.

1/12

2/9

3/7

7/19

59.

Lisa flipped the same coin 3 times. What is the probability she obtained all tails?

1/2

1/4

1/16

1/8

60.

Which compound event if composed of dependent events?

Selecting a candy bar from a bag eating the candy bar and selecting again

Selecting a candy bar from a bag, deciding you don't want it, replace the candy bar and select again.

61.

A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.

1/6

1/10

1/12

62.

Is the following compound event independent or dependent
P(1 and A)

Independent

Dependent

63.

Determine if the following events are dependent or independent.
Anna flips a coin two times.

Independent

Dependent

64.

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

1/2

4/11

1/10

2/3

65.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

2/18

1/9

2/20

1/10

66.

A number is randomly selected from 0-10 (0 is included). What is the probability the number selected is greater than 5?

1/2

3/5

2/5

5/11

67.

What is the probability of spinning an even number?

16 2/3%

33 1/3%

50%

75%

68.

A number is randomly selected from 0-10 (0 is included). What is the probability the number selected is greater than 5?

1/2

3/5

2/5

5/11

69.

What is the probability of spinning an even number?

16 2/3%

33 1/3%

50%

75%

70.

A ten sided die is rolled.

P (3 or 5)

3/10

1/5

1/10

25%

71.

A box has 3 limes, 5 grapes, and 2 oranges.

P (NOT lime)

3/10

30%

7/10

Answer Not Here

72.

What is the purpose of a tree diagram?

To make the problem pretty.

To show the total number of outcomes in a probability experiment.

To find the area of the sample space in a probability experiment.

To see if it is a experimental or a theoretical probability

73.

What is a sample space?

The answer to a probability problem.

The area or perimeter of a probability.

The total number of different results (or outcomes) you could get from an experiment.

A probability that is always written as a percent.

74.

You can make an outfit by picking 1 of 3 different shirts and match it with 1 of 2 different pants. What is size of the sample space?

6 Different Outfits (Black shirt, Black Pants) (Black Shirt, Jeans) (Brown Shirt, Black Pants) (Brown Shirt, Jeans) (White Shirt, Black Pants) (White Shirt, Jeans)

2 Different Outfits (Shirt, Black Pants) (Shirt, Jeans)

3 Different Outfits (Black Shirt, Pants) (Brown Shirt, Pants) (White Shirt, Pants)

1 Outfit (Shirt, Pants)

75.

Use the tree chart to find the probability of randomly picking an outfit with a white shirt and jeans.

There are 6 outfits

2/6, or 2 out of the 6 outfits have a white shirt with jeans

3/6, or 3 out of the 6 outfits have a white shirt with jeans

1/6, or 1 out of the 6 outfits has a white shirt with jeans.

76.

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

2, because there are 2 things to choose from to eat.

4, because there are 4 things to choose from to drink

10, because I see 10 different words on the tree diagram

8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

77.

What is the probability of randomly choosing a breakfast with a bagel and coffee?

1/8 because there is only 1 outcome out of the 8 possible choices that include both a bagel and coffee.

1/2 because there is only cereal and a bagel to choose from

1/4 because there is only one out of the four choices that include coffee

3 because the words "coffee" and "bagel" are on the diagram a total of 3 times.

78.

What is the probability of randomly picking a breakfast with cereal?

1/8 because I only see the word "cereal" on the diagram once.

4/8 or 1/2, because half of the options come with cereal.

5/8, because there is the 1 cereal and the 4 drinks that could come with it (4 + 1 = 5)

1/4, because there is the 1 cereal and the 4 drinks that could come with it.

79.

What is the sample space if I have 3 choices to pick from for lunch (hot dog, burger, pizza) 3 choices to pick from for a drink (milk, water, soda) and 2 choices for dessert (ice cream, cake)

80.

What is the probability of randomly picking a lunch with pizza, soda, and ice cream?

1/18

3/18 or 1/6

13/18

1/3

81.

What's the probability of randomly picking a lunch with pizza?

1/18

1/3, or 6/18

1/6, or 3/18

1/9, or 2/18

82.

A(3, 2) is rotated _______________ about the origin through 90° to A'.

clockwise

anticlockwise

83.

A(3, 2) is rotated anticlockwise about the origin through 90° to A'.

(-2,3)

(3,-2)

(2,-3)

(-3,2)

84.

R(1,3) is rotated anticlockwise about the origin through 180° to R'.

(-3,1)

(-3,-1)

(-1,3)

(-1,-3)

85.

V(-3,-1) is rotated anticlockwise about the origin through 180° to V’.

(1,-3)

(3,1)

(1,3)

(3,-1)

86.

U(-3,2) is rotated anticlockwise about the origin through 270° to U’.

(2,3)

(-2,-3)

(2,-3)

(3,2)

87.

anticlockwise about O through 270° =

clockwise about O through 90°

anticlockwise about O through 90°

88.

S(3,-2) is rotated anticlockwise about the origin through 270° to S'.

(-3,2)

(3,2)

(-2,3)

(-2,-3)

89.

B(–1, –4) is rotated anticlockwise through 90° to B’.

(4,1)

(4,-1)

(-4,1)

(1,-4)

90.

C(2, -5) is rotated anticlockwise through 180° to C’.

(2,5)

(-2,5)

(-2,-5)

(5,-2)

91.

F(-9, –15) is rotated anticlockwise through 270° to F’.

(9,15)

(-15,9)

(15,-9)

(-9,15)

92.

Q(-2,-3) is rotated clockwise about the origin through 90° to Q'.

(2,-3)

(-3,2)

(3,-2)

(-2,3)

93.

B(-2,2) is rotated clockwise about the origin through 90° to Q'.

(2,-2)

(-2,2)

(-2,-2)

(2,2)

94.

S(3,-2) is rotated clockwise about the origin through 180° to S'.

(-3,2)

(3,2)

(-2,3)

(-2,-3)

95.

V(-3,-1) is rotated clockwise about the origin through 270° to V’.

(1,-3)

(-1,3)

(1,3)

(3,-1)

96.

A(1, 9) is rotated clockwise through 90° to A’.

(9,1)

(-9,1)

(9,-1)

(1,-9)

97.

D(–6, 3) is rotated clockwise through 180° to D’.

(6,3)

(6,-3)

(3,-6)

(-3,6)

98.

Find the mean.

99.

The table shows the distribution of the number of hours worked each week (on average) for a sample of 100 community college students. The mean

34.6

36.8

100.

This data represents the age distribution of a sample of 100 people covered by health insurance (private or government). The sample was taken in 2003. The mean of this data set is

101.

The data presented in the table have a mean value of:

172

161

157

184

102.

Estimate the mean weight

63.5

67.2

70.1

103.

What is the range of the data set? Remember to subtract the minimum value from the maximum value.

104.

For how many weeks was the data collected?

105.

What is the mode for this data set? Remember the mode is the most common or most frequent data.

106.

How many people were surveyed to collect this data?

107.

What is the median for this data set? Remember to list all of the data in order from least to greatest. Then find the median which is the middle number in this ranked set of data.

108.

For how many weeks did it rain all 7 days?

109.

For how many weeks did it rain 5 days?

110.

How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

111.

How many people were polled?

112.

How many more boys than girls have shoes that are 22 centimeters long?

113.

How many skittles were in one bag?

114.

How many students spent over 40 minutes but under 60 minutes studying?

22 Students

30 Students

8 Students

5 Students

115.

How many baseball teams scored 0 runs per inning?

116.

Base your response on the following data:
3, 5, 2, 5, 4, 7, 1, 0, 6, 4, 8, 5, 3, 2, 4, 5, 9.
How many times were 6-8 goals scored?

117.

How do you group tally marks together?

by ones

by twos

by threes

by fives

118.

What is the formula for Volume of a Cone?

V=π r³h

V=π r²h

V=(1/3)π r²h

V=(4/3)π r³

119.

Find the volume of the solid shown in the figure? Rounded to the nearest 1s place.

7230

6621

1130

907

120.

V = ?

150.72 mm³

904.32 mm³

2,712.96 mm³

121.

A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume?

36π cm³

144π cm³

324π cm³

16π cm³

122.

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

600 in³

1,885 in³

3,140 in³

12,566 in³

123.

Find the volume of a HEMIsphere with a radius of 4.

85.3π

62.67π

42.67π

8π

124.

$65\pi$

$105\pi$

$115\pi$

$125\pi$

125.

The figure shows a cone of base radius 20 cm and slant height 29 cm. Find in terms of $\pi$ the total surface area of the cone !

$980\pi\ cm^2$

$580\pi\ cm^2$

$400\pi\ cm^2$

$380\pi\ cm^2$

126.

The figure shows a solid that consists of a right conical top, a cylindrical body and a hemispherical bottom. The radius of each of the 3 parts is 5 cm. Th cone is 12 cm high and the total height of two remaining parts is 20 cm. Find the total surface area of the solid !

$165\pi$

$200\pi$

$225\pi$

$265\pi$

127.

The shape of a glass stopper is composed of a hemisphere of radius 3 cm and a right circular cone as shown. The height of the glass stopper is 7 cm. Find the total surface area of the glass stopper !

$27\pi$

$33\pi$

$37\pi$

$40\pi$

128.

two angles that add up to 180 degrees

Angle at the centre

corresponding angles

isosceles triangle

supplementary angles

129.

lie on the same side of the transversal and in corresponding positions

Angle at the centre

corresponding angles

isosceles triangle

supplementary angles

130.

Double the angle at the circumference

Angle at the centre

isosceles triangle

supplementary angles

Co-interior angles

131.

Two angles whose sum is 90 degrees

corresponding angles

complementary angles

supplementary angles

isosceles triangle

132.

Angles that are both inside the parallel lines and on the same side of the transversal are supplementary.

Angle at the centre

isosceles triangle

supplementary angles

Co-interior angles

133.

a line drawn in a scatter plot to fit most of the dots and shows the relationship between the two sets of data

linear relationship

strong correlation

positive correlation

line of best fit

134.

A value much greater or much less than the others in a data set

strong correlation

no correlation

Outlier

linear relationship

135.

A relationship that has a straight line graph

strong correlation

no correlation

Outlier

linear relationship

136.

a graph in which data points portray the intersection of X and Y values

strong correlation

scatter plot (scattergram)

Outlier

linear relationship

137.

as one variable increases, the other decreases

positive correlation

negative correlation

no correlation

strong correlation

138.

that the two variables' pattern is very closely related

positive correlation

negative correlation

no correlation

strong correlation

139.

A line that is perpendicular to a segment at its midpoint.

perpendicular bisector

Reflexive Property

Midpoint

bisector of a segment

140.

A quantity is congruent (equal) to itself. a = a

perpendicular bisector

Reflexive Property

Midpoint

bisector of a segment

141.

Having the same size and shape

congruent

intersect

proof

postulate

142.

the format of a linear graph in the form y = mx + c

vertical line equation

Hypotenuse

horizontal line equation

Gradient-intercept form

143.

a²+b²=c²

Distance Formula

vertical line equation

horizontal line equation

Pythagorean Theorem

144.

the equation of a vertical line is x=a where a is the x intercept of the line

vertical line equation

coordinate plane

horizontal line equation

Gradient-intercept form

145.

a plane in which a horizontal number line and a vertical number line intersect at their zero points

Distance Formula

vertical line equation

coordinate plane

horizontal line equation

146.

the y-coordinate of a point where a graph crosses the y-axis

Gradient

y-intercept

Gradient-intercept form

Hypotenuse

147.

square root of (x2-x1)^2 + (y2-y1)^2

Distance Formula

vertical line equation

horizontal line equation

Pythagorean Theorem

148.

the middle score in a distribution; half the scores are above it and half are below it

Mode

Range

Median

Mean

149.

(x₁+x₂)/2, (y₁+y₂)/2

discrete data

midpoint formula

Distance Formula

continuous data

150.

the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores

Mode

Range

Median

Mean

151.

the difference between the highest and lowest scores in a distribution

Mode

Range

Median

Mean

152.

a polygon with all sides and all angles equal

Venn Diagram

regular polygon

alternate angles

complement of a set

153.

angles on opposite sides of a transversal

regular polygon

alternate angles

Exterior Angle Theorem

Alternate segment theorem

154.

(n-2) x 180

complement of a set

Exterior Angle Theorem

Intersection of two sets

Angle sum of a polygon

155.

the set that contains elements or objects that belong to either A or B or to both

Union of two sets

complement of a set

Intersection of two sets

corresponding angles

156.

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

Alternate segment theorem

alternate angles

corresponding angles

Exterior Angle Theorem

157.

The angle between a tangent and a chord is equal to the angle in the alternate segment

Exterior Angle Theorem

congruent triangles

Alternate segment theorem

alternate angles

158.

A diagram that uses circles to display elements of different sets. Overlapping circles show common elements.

regular polygon

Venn Diagram

congruent triangles

Union of two sets

159.

the set of all elements in the universal set that are not in the set

congruent triangles

Union of two sets

corresponding angles

complement of a set

160.

the ratio of the lengths of two corresponding sides of two similar polygons

Area scale factor

scale factor

congurent

similar

161.

Figures that have the same shape but not necessarily the same size

congurent

similar

scale factor

congruent angles

162.

If the corresponding sides of two triangles are proportional, then the triangles are similar.

scale factor

Angle-Angle Similarity Postulate

Side-Side-Side Similarity Theorem

Side-Angle-Side Similarity Theorem

163.

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Volume scale factor

Angle-Angle Similarity Postulate

Side-Angle-Side Similarity Theorem

Side-Side-Side Similarity Theorem

164.

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

Volume scale factor

Angle-Angle Similarity Postulate

Side-Angle-Side Similarity Theorem

Side-Side-Side Similarity Theorem

165.

Length scale factor cubed

Area scale factor

Volume scale factor

congruent angles

congurent

166.

Length scale factor squared

Area scale factor

Volume scale factor

congruent angles

congurent

167.

If a line is tangent to a circle, then the line is perpendicular to a radius of the circle drawn to the point of tangency

angle in a segment

Tangent Theorem

Tangent

Alternate segment theorem

168.

A line segment whose endpoints lie on a circle

segment

major arc

minor arc

chord

169.

A line in the plane of a circle that intersects the circle in exactly one point.

Tangent Theorem

angle in a segment

segment

tangent

170.

a quadrilateral inscribed in a circle

angle in a segment

diameter

cyclic quadrilateral

Alternate segment theorem

171.

An arc of a circle whose measure is less than 180 degrees.

minor arc

major arc

diameter

chord

172.

Angle joining the endpoints of the segment's base to any point on its circumference

angle in a segment

Tangent Theorem

Tangent

Alternate segment theorem

173.

plural of radius

Tangent

diameter

segment

radii

174.

y-y1=m(x-x1)

midpoint formula

negative reciprocal

slope-intercept form

point slope form

175.

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

x-intercept

midpoint formula

standard form

point slope form

176.

(x₁+x₂)/2, (y₁+y₂)/2

x-intercept

midpoint formula

standard form

point slope form

177.

the x-coordinate of a point where a graph crosses the x-axis

standard form

slope-intercept form

x-intercept

endpoint

178.

slope of perpendicular lines

slope-intercept form

negative reciprocal

perpendicular bisector

midpoint formula

179.

when a power of a number is raised to another power, multiply the indices.

Zero Index Law

Commutative Law of Addition

Index law for power of a power

commutative law of multiplication

180.

Powers are added

Commutative Law of Addition

Index law for power of a power

Index law for multiplication

Index law for division

181.

the number under the radical sign

Radicand

Square Root

Rational Number

Radical Expression

182.

A decimal that repeats a digit or group of digits forever.

rational number

Negative indices

repeating decimal

terminating decimal

183.

a number that when multiplied by itself equals a given number

perfect square

square root

rational number

cube root

184.

Multiples of the same surd and can be added and subtracted.

cube root

Like Surds

Index laws

whole numbers

185.

The number that tells how many equal factors there are.

cube root

Exponents

square root

Radicand

186.

a² - b² = (a + b)(a - b)

terminating decimal

radical sign, root sign

Difference of two squares

imperfect square root

187.

A rational number whose square root is a whole number

real numbers

perfect square

rational number

square root

188.

A set which contains all the elements

union of sets

complement of a set

universal set

subset

189.

Count the number of elements (They have to be different numbers)

is not an element of

complement of a set

union of sets

number of elements

190.

The set of all elements in the universal set that are not in a given set.

complement of a set

subset

universal set

intersection of sets

191.

a set with no elements

intersection of sets

Set Builder Form

Set-Roster Notation

empty set/null set

192.

written A U B, is the set of elements in either A or B (or in both).

intersection of sets

subset

universal set

union of sets

193.

written A∩B, is the set of elements that are in both A and B.

intersection of sets

subset

universal set

union of sets

194.

Simplify the following surd...

3√2

2√3

9√2

3√6

195.

Simplify the following surd...

6√2

2√6

8√2

4√6

196.

Simplify the following surd...

5√2

5√3

2√5

10√5

197.

Simplify the following surd...

7√2

3√5

9√3

3√3

198.

Simplify the following surd...

7√7

3√7

9√7

7√3

199.

Simplify fully:
√32 + 5√32

6√32

24√8

24√2

6√8

200.

Simplify fully:
√32 + √12

4√2 +2√3

6√5

√44

2√11

201.

Simplify fully:
2√45 - 5√45 + 9√16

-9√5 + 36

-3√45 + 144

6√16

6√106

202.

Fully simplify....

203.

Fully simplify....

204.

Fully simplify....

205.

Fully simplify....

206.

Fully simplify....

207.

Fully simplify....

208.

Fully simplify...

209.

Fully simplify...

210.

Fully simplify...

211.

Fully simplify...

212.

Fully simplify...

213.

Fully simplify...

214.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁷/₉

⁷⁷/₉₉

²/₃

⁷/₉₉

215.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

²/₉

²²/₉₉

¹/₃

²/₉₉

216.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁸/₉

⁸⁸/₉₉

²/₃

⁸/₉₉

217.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹³/₃₃

³⁴/₉₉

⁴/₁₁

¹²/₃₃

218.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹⁸/₃₃

⁵⁸/₉₉

⁶/₁₁

¹⁹/₃₃

219.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

²³/₃₃

⁷¹/₉₉

⁸/₁₁

²⁴/₃₃

220.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹⁴/₃₃

⁴²/₉₉

⁵/₁₁

¹³/₃₃

221.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹⁴/₃₃

³⁹/₉₉

⁶/₁₁

¹³/₃₃

222.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹⁴³/₃₃₃

⁴³¹/₉₉₉

⁴⁷/₁₁₁

¹⁴²/₃₃₃

223.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁵¹/₃₃₃

¹⁵³/₉₉₉

¹⁴/₁₁₁

⁵²/₃₃₃

224.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

²⁹¹/₃₃₃

⁸⁷⁴/₉₉₉

⁹⁷/₁₁₁

²⁹²/₃₃₃

225.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

¹⁷⁵/₃₃₃

⁵²⁵/₉₉₉

⁶⁵/₁₁₁

¹⁷⁵/₉₉₉

226.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁴³¹³/₉₉₉₉

⁴³¹³/₉₉₉

⁴⁷⁹/₁₁₁

¹⁴³⁷/₃₃₃₃

227.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁵²¹⁴/₉₉₉₉

¹⁷³⁸/₉₉₉₉

⁵⁷⁹/₁₁₁₁

¹⁷³⁸/₃₃₃₃

228.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁸⁷³¹/₉₉₉₉

²⁹¹¹/₉₉₉₉

⁹⁷⁰/₁₁₁₁

²⁹¹¹/₃₃₃₃

229.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

³/₉

³³/₉₉

¹/₃

³/₉₉

230.

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

⁴/₉

¹²/₉₉

⁴/₃₃

⁴/₉₉

231.

What does the "m" stand for in y=mx+c?

gradient

x-intercept

y-intercept

none of these answers

232.

What does the "c" stand for in y=mx + c?

gradient

x-intercept

y-intercept

none of these answers

233.

What is the slope of a vertical line?

undefined

234.

For the straight line y = -2x + 3, what are the slope & the y-intercept ?

The Slope is 2 and the y-intercept is -3.

The Slope is -2 and the y-intercept is 3.

The Slope is 3 and the y-intercept is -2.

The Slope is -3 and the y-intercept is 2.

235.

What is the y intercept for the straight line shown in the diagram?

y = - 1

y = 2

y = 4

y = - 2

236.

What is the gradient of the following straight line?

y = -4

y = 4

y = -1/4

y = -2

237.

What is the gradient of the straight line shown in the diagram?

m = 4

m = undefined

m = 0

m = 1

238.

What is the equation of the straight line shown in the diagram?

y = -2.5x - 5

y = 2.5x - 5

y = -3x - 5

y = 3x - 5

239.

What is the slope of the equation y = -3x + 4 ?

-3

-4

240.

What is the slope between the points

(-3, -4) & (7, 6)?

-1

241.

What is the slope between the points

(-3, -4) & (7, 6)?

-1

242.

Write the equation of a straight line that passes through the given points

y = -4x+6

y = 2x-2

y = 4x-2

y = 4x+6

y = 2x + 4

243.

Determine if the table represents a linear or nonlinear function.

Linear

Nonlinear

impossible to answer

244.

What kind of line is the line y=6

Horizontal

Vertical

Not enough information

245.

What kind of line is the line x= -5

Horizontal

Vertical

Not enough information

246.

What is the equation of the line that goes through points (0;0) , (1;3), (2;6)

y=3

y=3x -3

y=3x

y=-3x

247.

What's the gradient of a line whose equation y=7x-3 ?

-3

7/3

248.

What is the equation of the straight line, which passes through the point (0,-7) and has a gradient of 4, in the form of y=mx+c

y=4x+7

y=-7x+4

y=4x -7

y=x-4/7

249.

Find the equation of the line passing through the points C(0,-1) and D(2,3)

y=2x-1

y=4x-1

y=2x+3

y=3x+1

y=6x-0,5

250.

Find the gradient of the straight line with equation 4y-8x-1=0

-8

1/2

251.

Calculate the gradient of the straight line which passes through the points P(-1,1) and Q(5,13).

252.

Find the equation of the straight line parallel to 2y= 3x-7 and passing through (0.5, -1).

y=3x-2,5

y=(3/2)x - 7/4

2y=3x-7

(5/2)y= 8,25 *x -14/3

253.

Find the equation of the line described gradient 5, y-intercept 3 (give the equation in the form y = mx + c):

y = 5x + 3

y = −2x − 1

y = 3x

y=5x+3/2

y=6x+4

254.

Find the equation of the line described gradient (2/5) , passing through (5, −1); (give the equation in the form y = mx + c):

y = (2/5) x − 3

y=(2/5)+3

y=(5/2)+3

y=-(2/5)+3

255.

Find the equation of the line described as passing through (1, 1) and (4, −8), (give the equation in the form of: y-mx-c = 0):

y + 3x-4 = 0

y+(5/2)x+5 =0

2y+(5/6)x =0

y-8x+1=0

y+x+5=0

Reset

G8 S1 End of Term Revision 2

Total questions: 255

Worksheet time: 11hrs 33mins

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