Year 9 Maths Semester 1 Revision

·  The front cover of the exam will look like this:

NAME:

TEACHER: Ms Evans Langley/Cox Ms Le-Rodda Mr Sinniah

(please circle your teacher’s name)

GISBORNE SECONDARY COLLEGE

Year 9 Maths

Semester one

Examination 2012

Reading Time: 10 minutes

Writing Time: 60 minutes

Section A: Multiple Choice 20 Questions 20 marks

Section B: Short Answer 11 Questions 50 marks

TOTAL: 70 marks

Allowed Materials

Scientific Calculator

4 pages (2 x A4 sheets) of revision notes

·  Make sure you bring pens and pencils to the exam.

·  The following are examples of the types of questions you can expect in the exam. Work through the questions and use these to help you put together your 4 pages of revision notes for the exam.

Section A: Multiple Choice.

Circle the correct answer. (1 mark each)

1.  Which of the following numbers is irrational:

a) / 12 / b) / 6 / c) / 0.15 / d) / 0.36 / e) / 6

2.  The following shapes are best described as being:

a) / reflected
b) / corresponding
c) / triangles
d) / congruent
e) / similar

3.  The hypotenuse is:

a) / Another name for Pythagoras’ Theorem
b) / The longest side of a right-angled triangle
c) / Another name for a right-angled triangle
d) / The method we use to square numbers
e) / The shortest side of a right-angled triangle

4.  The solution to the equation x - 12 = 22 is:

a) / -5 / b) / -10 / c) / 10 / d) / 34 / e) / 5

5.  Simplify 22 x 27

a) / 214 / b) / 49 / c) / 25 / d) / 29 / e) / 45

6.  The solution to the equation 4(x – 2) = 12 is:

a) / 38 / b) / -5 / c) / 6 / d) / 2 / e) / 5

7.  The following two shapes are congruent. The length of x is:

a) / 2 cm
b) / 3 cm
c) / 4 cm
d) / 5 cm
e) / 6 cm

8.  For the following right angled triangle, which is true?

a) / a² + c² = b²
b) / a² + b² = c²
c) / c² + b² = a²
d) / a² – c² = b²
e) / c + b = a

9.  Simplify 36 : 32

a) / 33 / b) / 38 / c) / 68 / d) / 14 / e) / 34

10.  The scale factor of triangle B is:

a) / 0.66
b) / 1.4
c) / 0.71
d) / 0.93
e) / 1. 07

11.  The solution to the equation 3 + x/2 = 9 is:

a) / 12 / b) / 3 / c) / 6 / d) / 2 / e) / 24

12.  5 000 000 written in index form is:

a) / 5 x 106 / b) / 50 x 107 / c) / 5 x 10-6 / d) / 5 x 107 / e) / 5 x 10-7

13.  In this triangle, the hypotenuse is equal to:

a) / 48
b) / 10
c) / 14
d) / 2
e) / 10

14.  The solution to the equation 8x – 7 = 3x + 13 is:

a) / 7 / b) / 5 / c) / 13 / d) / 4 / e) / 20

15.  3 x 106 written equal to:

a) / 300 000 / b) / 3.000000 / c) / 3000 000 / d) / 0.000003 / e) / 3.6

16.  In this triangle, x is equal to:

a) / 12.8
b) / 6
c) / 2
d) / 18
e) / 36

17.  The solution to the equation 5(x + 2) = 4(x + 4) is:

a) / 2 / b) / 4 / c) / 6 / d) / 54 / e) / 10

18.  Think of a number. Double it. Subtract 3. Double that. If your answer is 30, then the number you started with is:

a) / 10 / b) / 1 / c) / 3 / d) / 6 / e) / 9

19.  The two shorter sides of a right-angled triangle measure 2.7 cm and 5.9 cm. The length of the hypotenuse, correct to one decimal place, is:

a) / 6.4 cm / b) / 3.2 cm / c) / 8.6 cm / d) / 6.5 cm / e) / 8.7 cm

20.  A rectangle is two times as long as it is wide. The perimeter of the rectangle is 40 cm. If x is the width of the rectangle, then an equation to find out x would be:

a) / x + 2x = 40
b) / x × 2x = 40
c) / 40 + 2x = x
d) / x + 40 = 2x
e) / x + 2x + x + 2x = 40

End Part A


Section B: Short Answer

Show all working out

1.  Calculate the length of the hypotenuse in this triangle.

(3 marks)

2.  Solve these equations:

a) / 3x=18 / b) / 2x-6=10
c) / 4x+3=20 / d) / 5x+2=3(2x+3)

(1 + 2 + 3 + 4 = 10 marks)

3.  The average distance from the sun to Earth is 150 000 000 km. What is this in scientific notation?

(2 marks)

4.  The shadow of a tree is 20 metres long. The shadow of a person 1.75 metres tall is 2 metre long.

a)  Draw a diagram to represent the problem

b)  How tall is the tree?

(1 + 2 = 3 marks)

5.  A day on Mercury lasts 1.4075 x 103 hours. How many hours is this?

(1 mark)

6.  A fire ladder is 10 metres long. If the bottom of the ladder is placed 3 metres out from the wall, complete the diagram, and find out (to one decimal place) how far up the wall the ladder reaches.

(2 + 3 = 5 marks)

7.  Justin went to the canteen and bought 3 sausage rolls. He paid with a $10 note and got $2.65 change.

a)  Write an equation using S for the price of one sausage roll.

b)  Solve the equation to determine the price of a sausage roll.

(2 + 3 = 5 marks)

8.  Use your calculator to evaluate the following (rounding off to two decimal places)

a) 40 = b) 38 =

c) 4 3 = d) 3 2 =

e) 89 = f) 8.9 =

(6 marks)

9.  Find the length of x in this right-angle triangle rounded off to 2 decimal places

(4 marks)

10.  Simplify each of the following. Write your answer in index form.

a) 53 x 56 x 53= b) 49 ÷ 42 =

c) 86 : 83 x 82= d) 26 x 22 ÷ 2 =

e) 90 = f) (33)5 =

(6 marks)

11.  A television mast is 205 metres high. Two guy wires are attached as shown.

Both wires are attached to a concrete block in the ground 60 metres from the tower and the shorter wire is attached halfway up the mast.

Find out how long each wire is.

(2 + 3 = 5 marks)

End Exam

Year 9 2012 Semester 1 Revision Page 3