Free Printable October Revision Ms. Joyce

1.

Which of the following is a linear pattern

a)

8, 11, 14, 17,...

b)

1, 2, 4, 8, 16,...

c)

1, 11, 21, 1211, 111221,...

d)

1, 5, 25, 125,...

2.

What are the next 2 terms in the following pattern
100, 77, 54, 31...

a)

18, -3

b)

8, -13

c)

15, -7

d)

5, -18

3.

How many squares will be in the next figure? (Figure 5)

a)

12

b)

15

c)

5

d)

18

4.

How many blocks will be in the 4th term?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

5.

Find the n^th term of the following sequence...

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

6.

Find the n^th term of the following sequence...

2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

7.

Find the n^th term for the following quadratic sequence...

6, 11, 18, 27, 38...

a)

n² + 2n + 3

b)

2n² + n + 3

c)

n² - 2n - 3

d)

2n² - 2n + 3

8.

Find the n^th term for the following quadratic sequence...

7, 13, 23, 37, 55...

a)

2n² + 5

b)

2n² + 5n

c)

n² + 5

d)

n² - 5

9.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

10.

3x³+ 9x²- 15x

a)

x(3x² + 9x - 15)

b)

3x(x² + 3x - 5)

c)

3x(x² - 9x + 15)

d)

x(3x² -9x + 15)

11.

Factor by grouping

x³ - 4x² - 4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

12.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

13.

Factorise 4x+12

a)

4(x+3)

b)

4(x+12)

14.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

15.

Classify the triangle shown in the picture by its angles.

a)

Isosceles

b)

Obtuse

c)

Acute

d)

Right

16.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

17.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

18.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

19.

Find the measure of Angle A.

a)

$40\degree$

b)

$140\degree$

c)

$80\degree$

d)

$100\degree$

20.

Use the Exterior Angle Theorem to find the value of x.

a)

117

b)

94

c)

149

d)

31

21.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

22.

Are the two triangles congruent?

a)

Not enough information

b)

Yes, by SSA

c)

Yes by AAS

d)

Yes By ASA

23.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

24.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

25.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

26.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

27.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

28.

Which angles are non-adjacent with $\angle8$ ?
(mark all that apply)

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle1$

29.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

30.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

31.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

32.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

33.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

34.

A parallelogram must be a rhombus if its diagonals

a)

are congruent

b)

bisect each other

c)

do not bisect its angles

d)

are perpendicular to each other

35.

A parallelogram is always a rectangle if

a)

the diagonals are congruent

b)

the diagonals bisect each other

c)

the diagonals intersect at right angles

d)

the opposite angles are congruent

36.

Which of the following group of quadrilaterals have congruent diagonals?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

a)

All of the above

b)

II, III and IV

c)

II and IV, only

d)

III and IV, only

37.

A parallelogram is a square if it has all the properties of

a)

a rhombus and rectangle

b)

a parallelogram and rhombus

c)

a parallelogram and rectangle

d)

trapezoid and rhombus

38.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Opposite sides are congruent

b)

Diagonals are perpendicular to each other

c)

Adjacent sides are congruent

d)

Diagonals are congruent

39.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Diagonals are perpendicular to each other

b)

Diagonals are congruent to each other

c)

Diagonals are bsiect each other

d)

Adjacent sides are perpendicular

40.

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?

a)

AB is parallel to CD

b)

AC is congruent to BD

c)

BD bisects AC

d)

AC is perpendicular to BD

41.

A Rhombus has congruent ________

a)

Angles

b)

Sides

c)

Windows

d)

Doors

42.

The diagonals of a rhombus

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

43.

Which of the following are NOT true about diagonals of a rhombus?

a)

they are perpendicular

b)

they bisect each other

c)

they are congruent

44.

Find y.

a)

2

b)

4

c)

6

d)

8

45.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

46.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

47.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

48.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

49.

Identify the triangle by its sides and angles

a)

Obtuse Isosceles

b)

Obtuse Equilateral

c)

Obtuse Scalene

50.

What is the name of this kind of triangle?

a)

Isosceles

b)

Scalene

c)

Equilateral

51.

Identify this triangle by its sides

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

52.

What kind of angle does this triangle have

a)

Right

b)

Obtuse

c)

Acute

53.

An isosceles triangle has how many congruent sides?

a)

1

b)

2

c)

3

54.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

55.

All angles in similar figures are congruent.

a)

True

b)

False

56.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

57.

a)

205

b)

105

c)

230

d)

135

58.

a)

28.8 feet

b)

500 feet

c)

45 feet

d)

0.002 feet

59.

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

a)

75.1°

b)

14.9°

c)

74.5°

d)

15.5°

60.

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

a)

48.8°

b)

41.2°

c)

61.0°

d)

29.0°

61.

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

a)

48.2°

b)

41.8°

c)

63.2°

d)

26.8°

62.

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

a)

41.4°

b)

48.6°

c)

36.9°

d)

53.1°

63.

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

a)

55.3°

b)

34.7°

c)

39.4°

d)

50.6°

64.

a)

2a/0

b)

2a/5

c)

2a/10

d)

2a

65.

Solve the equation.

a)

u = 1.5

b)

u = 2

c)

u = 0

d)

u = 4

66.

Solve the equation.

a)

q = -46

b)

q =-5

c)

q = -9.2

d)

q = -9.5

67.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

68.

Identify the hypotenuse.

a)

x

b)

z

c)

w

69.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

70.

Evaluate x.

a)

35

b)

20

c)

8

d)

12

71.

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

72.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

73.

Use Pythagoras' Theorem to find c in this triangle:

a)

5.29

b)

10

c)

28

d)

100

74.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

75.

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

76.

Identify the hypotenuse.

a)

a

b)

b

c)

c

77.

solve for c

a)

7

b)

9

c)

4

d)

13

78.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

79.

Which of the following is a right-angled

triangle?

a)

b)

c)

d)

80.

An unlikely chance event is closer to what number?

a)

0

b)

1

c)

2

d)

3

81.

Ben has two marbles of the same size in his pocket, a green one and a red one. He puts his hand into his pocket and, without looking, takes out a red marble.

a)

impossible

b)

unlikely

c)

even chance

d)

likely

e)

certain

82.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

83.

Clara picks a marble at random, puts it back, and then picks another marble at random.

a)

Dependent

b)

Independent

84.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

85.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?

a)

8/121

b)

4/11

c)

2/11

d)

1/26

86.

What is the relative frequency of students speaking Vietnamese?

a)

8%

b)

100%

c)

4%

d)

16%

87.

What is the relative frequency of students speaking German?

a)

7%

b)

1%

c)

100%

d)

12%

88.

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

a)

4%

b)

14%

c)

13%

d)

29%

89.

What is the first number in the cumulative frequency column?

a)

12

b)

30

c)

8

d)

20

90.

What is the missing number in the cumulative frequency column?

a)

19

b)

9

c)

15

d)

22

91.

If three coins are tossed at the same moment for 800 times, what is the expected frequency a head turns up?

a)

300 times

b)

500 times

c)

200 times

d)

600 times

92.

A dice is thrown for 90 times. The expected frequency that 2 is scored is ... times

(a)

93.

Two dices are rolled for 180 times. The expected frequency that a total of 5 or 10 is scored is ... times

(a)

94.

In Mathematics, the likely hood of something happening is called......

a)

Probability

b)

Outcome

c)

Frequency

d)

Sus

95.

In Mathematics, the likelihood of two independent events occurring is called.....

a)

Frequency

b)

Simulation

c)

Compound Probability

d)

Simple Event

96.

In Probability, the collection or set of possible outcomes is called...

a)

Probalaity

b)

Simple Event

c)

Addition

d)

Sample Space

97.

In Probability, an event with a single outcome is called...

a)

Sus

b)

Frequency

c)

Complement

d)

Simple Event

98.

In Probability, the possible result of an experiment or trial is called....

a)

Probability

b)

Simulation

c)

Outcome

d)

Simple Event

99.

In Probability, the solution of any mathematical model that represents a physical process is called...

a)

Complement

b)

Simulation

c)

Sus

d)

"Bro?"

100.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

101.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

102.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

103.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

104.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

105.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

106.

What do the overlapping areas in a Venn diagram represent?

a)

Common elements

b)

Shared elements

c)

Different elements

d)

Unique elements

107.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

108.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

109.

Students at Red Bank High School took a survey about their interests. The Venn diagram to the left shows the results of students who like ice skating, skiing, and snowboarding. How many total students took the survey?

a)

32

b)

47

c)

53

d)

56

110.

According to the Venn diagram, how many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

111.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play any of the three sports?

a)

⁷⁹/₈₀

b)

¹/₈₀

c)

⁷⁴/₈₀

d)

⁶/₈₀

112.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

113.

Who are all of the students who prefer bananas?

a)

Diana

b)

Ben

c)

Tiara

d)

Nico

e)

Susan

114.

Who are all of the elements in the set (Mangoes)?

a)

Tiara

b)

Ben

c)

Paul

d)

Francesca

e)

Susan

115.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

116.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

October Revision Ms. Joyce

Total questions: 116

Worksheet time: 4hrs 34mins

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