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
Section B: Short Answer
Note: you cannot
use your\y
netbook,
ipod or mobile
20 Questions
11 Questions
20 marks
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)
1
2
b)
6
c)
0.15
d)
√0.36
e)
√6
2. The following shapes are best described as being:
a)
b)
c)
d)
e)
reflected
corresponding
triangles
congruent
similar
3. The hypotenuse is:
a)
b)
c)
d)
e)
Another name for Pythagoras’ Theorem
The longest side of a right-angled triangle
Another name for a right-angled triangle
The method we use to square numbers
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
b)
49
c)
25
d)
29
e)
45
d)
2
e)
5
5. Simplify 22 x 27
a)
214
6. The solution to the equation 4(x – 2) = 12 is:
a)
38
b)
-5
c)
6
7. The following two shapes are congruent. The length of x is:
5cm
3cm
x
a)
b)
c)
d)
e)
2 cm
3 cm
4 cm
5 cm
6 cm
4cm
Year 9
2012 Semester 1 Revision
Page 1
8. For the following right angled triangle, which is true?
a)
b)
c)
d)
e)
c
a
a² + c² = b²
a² + b² = c²
c² + b² = a²
a² – c² = b²
c+b=a
b
9. Simplify 36 : 32
a)
33
b)
38
c)
68
d)
14
e)
34
10. The scale factor of triangle B is:
a)
b)
c)
d)
e)
14cm
10cm
A
B
0.66
1.4
0.71
0.93
1. 07
15cm
11. The solution to the equation 3 + x/2 = 9 is:
a)
12
12. 5 000 000
a)
5 x 106
b)
3
c)
6
d)
2
e)
24
5 x 10-6
d)
5 x 107
e)
5 x 10-7
d)
4
e)
20
written in index form is:
b)
50 x 107
c)
13. In this triangle, the hypotenuse is equal to:
a)
b)
c)
d)
e)
6
48
10
14
2
10
8
14. The solution to the equation 8x – 7 = 3x + 13 is:
a)
Year 9
7
b)
5
c)
13
2012 Semester 1 Revision
Page 2
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)
b)
c)
d)
e)
10
x
12.8
6
2
18
36
8
17. The solution to the equation 5(x + 2) = 4(x + 4) is:
a)
2
b)
4
c)
6
5
4
d)
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)
b)
c)
d)
e)
x + 2x = 40
x × 2x = 40
40 + 2x = x
x + 40 = 2x
x + 2x + x + 2x = 40
End Part A
Year 9
2012 Semester 1 Revision
Page 3
Section B:
Short Answer
Show all working out
1. Calculate the length of the hypotenuse in this triangle.
12
16
(3 marks)
2.
Solve these equations:
a)
3𝑥 = 18
b)
2𝑥 − 6 = 10
c)
4(𝑥 + 3) = 20
d)
5(𝑥 + 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)
Year 9
2012 Semester 1 Revision
Page 4
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.
wall
ground
(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.
Year 9
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 =
2012 Semester 1 Revision
Page 5
(6 marks)
9.
Find the length of x in this right-angle triangle rounded off to 2 decimal places
17
x
9
(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 6