Year 10 GENERAL MATHS

SEMESTER ONE REVISION EXAMJUNE 2016

Reading Time 10 minutes(Students are NOT permitted to write during reading time)

Writing Time 60 minutes

QUESTION & ANSWER BOOKLET

EXAM 2 – MULTIPLE CHOICE

Student Name: ………………………………… Advisory: ……

Teacher (please circle):

Mr Hutchison / Mr Longmuir / Mr Narayan / Ms McVay /

Dr Weiser / Dr Roper

Exam Rules

FULL SCHOOL UNIFORM MUST BE WORN TO ALL EXAMS

Students must bring correct equipment to each exam eg pens, pencils, rulers, calculators and other materials as informed by staff.

No food or drink is to be consumed in the exam room. (Bottled water excepted) Students are not to communicate with each other in any way during an exam. 

No mobile phones, iPods, mp3 players etc are allowed in the exam room.

Students must remain for the duration of the exam.

Students are to behave appropriately at all times – disruptive behaviour will be considered a serious breach of exam rules.

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Structure of Exam

Section Style of Questions Number of Questions

Number of Questions to be Answered

Number of Marks

A Multiple Choice 40 40 40

Total Marks = /40

MaterialsStudents are permitted to bring into the examination room: pens, pencils, highlighters, erasers, sharpeners, rulers, a protractor, set-squares, aids for curve sketching, one bound reference, one approved graphics/CAS calculator (memory DOES NOT need to be cleared) and, if desired, one scientific calculator.

Please turn over to begin the exam.

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SECTION A

Instructions for Section AAnswer all questions in pen or pencil on the answer sheet provided for multiple-choice questions.Choose the response that is correct for the question.A correct answer scores 1, an incorrect answer scores 0.Marks will not be deducted for incorrect answers.No marks will be given if more than one answer is completed for any question.

Question 1

What is the area of a circle with the diameter of 16 cm (in terms of π ¿?

A 8 π

B 32 π

C 1.6 π

D 160 π

E 4 π

Question 2

Which of the following is false?

A 8500 m = 8.5 km

B 50 cm = 0.5 m

C 85 m = 850 cm

D 1000 mm = 100 cm

E 600 m = 6000 cm

Question 3

The total surface area of rectangular prism with a length of 5 cm, width of 2 cm and a height of 3 cm

A 102 cm2

B 92 cm2

C 82 cm2

D 72 cm2

E 62 cm2

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Question 4

The volume of a sphere with a radius of 9 cm is:

A 3053.64 cm3

B 3053.65 cm3

C 3053 cm3

D 3053.62 cm3

E 3053.63 cm3

Question 5Using Heron’s formula, find the area of a triangle with the side lengths a=8 , b=3∧c=6.

A 7.7 cm2

B 7.65 cm2

C 7.64 cm2

D 72 cm2

E 7.65 cm2

Question 6

A prism has a right-angled triangular base with sides 8 cm, 6 cm and 12 cm. The prism stands 10 cm high. The volume of the prism is:

A 240.5 cm3

B 240.0 cm3

C 240.1 cm3

D 240.2 cm3

E 240.3 cm3

Question 7

If the volume of a cube is 64 cm3, its length will be closest to:

A 1 cm

B 2 cm

C 3 cm

D 4 cm

E 5 cm

4

Question 8A cylinder has a volume of 1000 cm3 and a radius of 10cm. The height of the cylinder, rounded to one decimal place, is:

A 3.1 cm

B 3.2cm

C 3.3 cm

D 3.4 cm

E 3.5 cm

Question 9

A trapezium with the following values (a = 12, b = 18, h = 8), has an area of:

A 122 cm2

B 120 cm2

C 121 cm2

D 124 cm2

E 125 cm2

Question 10

The diameter of a circle with an area of 706.858 cm 2 is closest to:

A 10 cm

B 20 cm

C 30 cm

D 40 cm

E 50 cm

Question 11

The area of the following triangle is:

A 1 m2

B 2 m2

C 3 m2

D 4 m2

E 5 m2

5

2 m

5 m

Question 12

The area of the following shape, rounded to the nearest decimal, is:

A 23 cm2

B 24 cm2

C 25 cm2

D 26 cm2

E 27 cm2

Question 13

When simplified, -5a + 8b +15 a – 13b becomes:

A 20a + 21b

B 10a + 5b

C 10a – 21b

D 10a – 5b

E 20a-21b

Question 14

7k – 5j – 11k + 2j is equal to:

A –k-3j

B -2k + 9j

C k + 3j

D 9k + 16j

E 2k – 9j

Question 15

10p × 2y is equal to:

A 12py

B 8py

C 5py

D 20py

E 10p + 2y

Use the following values to answer questions 16-19: a = -2, b = -4 and c = 8

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Question 16a+b isequal ¿ :

A -7

B -3

C -8

D -6

E -4

Question 17a+c is equal ¿ :

A 6

B 5

C 3

D 2

E 1

Question 18abc is equal ¿:

A 6

B 5

C 3

D 2

E 1

Question 19

b2+a−c is equal ¿:

A 6

B 5

C 3

D 2

E 1

Question 20

4(3a+2) expands to:

7

A 12a + 2

B 12a + 6

C 12a + 8

D 20a

E 24a

Question 21

When expanded, 4(6a – 2b) becomes:

A 24a – 2b

B 24a + 2b

C 24a – 8b

D 24a + 8b

E 24a – 6b

Question 22

Solve for x , where √ x=9.4863

A x=¿90

B x=¿89

C x=¿88

D x=¿87

E x=¿86

Question 23

Solve for x, where x3 = 681472:

A x=90

B x=¿89

C x=¿88

D x=¿87

E x=¿86

Question 24

Solving for p , where 3 + 4p = 63.

A p = 158

B p = 16

C p = 20

D p = 12

E p = 10

Question 25

Solve for p, where p2+10=20

A p = 15

B p = 16

C p = 20

D p = 12

E p = 10

Question 26

Solve forx, where 2−36 p=−538

A p=¿ 15

B p=¿ 16

C p=¿ 20

D p=12

E p=¿ 10

Question 27

Solve for p, where 2p 10 = 3p 30

A p=¿15

B p=¿ 16

C p=¿20

D p=¿12

E p=¿10

Question 28

What is the length of the hypotenuse in this figure?

9

A 2.84B 2.85C 2.86D 24.49E 24.48

Question 29

In a right-angled triangle, if one side is 25cm and the hypotenuse is 35cm, then the value of the other short side correct to 2 decimal places is:

A 24.48

B 24.49

C 24.40

D 2.84

E 2.85

Question 30

A 4.71

B 4.72

C 4.73

D 4.74

E 4.75

Question 31

A ladder 6 m long leans against a wall. The foot of the ladder is 2 m from the wall. How far up the wall does the ladder reach?

10

Solve for x:

A 563 cmB 564 cmC 565 cmD 566 cmE 562 cm

Question 32

In the figure Tan (θ ) equals:

A

B

C

bc

D

E

Question 33

Which rule would be used for the pronumerals, e and f, in following triangle?

A sinθ= OH

B cosθ= AH

C tanθ=OA

D cos−1 AH

E sin−1 OH

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Question34

Which of the following could be used to solve for x in the diagram below?

Asin(25 ° )

8

B 25×cos(8∘)

C

8cos (25° )

Dcos (25° )

8

E 8×cos (25∘)

Question 35The value of x, correct to one decimal place, is:

A 7.2

B 7.3

C 7.1

D 7.4

E 7.5

Question 36

The value of x in the following diagram, correct to one decimal place is:

A 101.2

B 101.3

C 101.4

D 101.5

E 101.6

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Question 37

The size of the angle, c, in the figure below is:

A 64.5B 64.4C 64.6D 64.7E 64.1

Question 38

The size of the angle, θ, in the figure below is:

A 24.1°

B 24.2°

C 24.3°

D 24.4°

E 24.5°

Question 39

What is the value of the indicated angle R inside the figure below?

A 35°

B 55°

C 90°

D 45°

E 41°

Question 40The length of AG, to one decimal point is:

13

A 14.3

B 14.4

C 14.5

D 14.6

E 14.7

End of Revision Exam

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