Download MARK - Pukekohe High School

Year 9 exam term3 2012
TOPIC
Geometry
Algebra
Number
Total
MARK
/34
/20
/18
/72
NAME :…………………………………… ………………..
%
LEARNING GROUP…………
Section A GEOMETRY ( 34 marks )
1.Write down the type of the following angles. Choose from {acute, obtuse or reflex}.
i)
ii)
_______
_________
2.Use a protractor to measure each of the following angles. (3 marks)
i)
ii)
iii)
y
x
x=
z
˚
y=
˚
z=
˚
3.Calculate the size of the marked angles. Do not use a protractor – the diagrams are not drawn to scale.
i)
ii)
106°
28°
138°
a
a = ____________________
iii)
b
b = ________________
iv)
c
_
___
_
___
_
___
c = __________________
_
___
_
___
_
__
_
_
_
_
_
275°
d
39
°
d = __________________
1
_
_
_
_
_
_
_
_
_
4. Work out the size of each marked angle AND give geometrical reasons for your answers.
(The diagrams are not drawn to scale). (11 marks)
i)
ii)
86°
iii)
a
10 4 °
b
a = ______________
c
71°
b = ______________
c=
_____________
c
Reason: ____________
Reason: _____________
iv)
Reason: _____________
v) ( 3 marks )
d
870
x
51°
2x
d = ______________
x = ___________________
Reason: _________________
Reason: __________________
_________________
___________________
5.If two angles of a triangle are 50° and 60° then find the size of the third angle.
Third angle =
6a) From a port (the smiley face) the bearing of a ship is 105°. The ship is 3km off shore. Make an
accurate scale drawing to show this. Scale: 1 cm = 1 km (2 marks)
N
N
b)Use the diagram below to measure the following bearings:( 2 marks)
N
James
i) of James from Caleb ………………………………..
ii) of Sally from James
Caleb
………………………………..
Sally
2
7. How many 1cm cubes are there in the diagram shown below? ________
8. Reflect these shapes in the mirror line, m. (2 marks)
(a)
(b)
m
m
op
9 .Describe the following translation using a vector. A is translated to B.
A
F
r
o
n
t
Fr
on
t
B
3 units
8 units
10. Rotate the shape one quarter turn (anticlockwise), about the dot.
3
 6 
11. Translate the rectangle by the vector   .
  2
12. Draw below a net that will form a triangular prism.
13. Draw the top and front views of the solid below. ( 2 marks)
Top
Front
4
Section B
ALGEBRA(20)
2. Simplify 3a  a 
1. Simplify 3x  9x 
3. Simplify 4 x  6 y  x  3 y =
5. Expand
4. Simplify
4(3x  1) 
6x 2
=
4x
6. Expand and simplify
52 x  4  2( x  3) =
7. Given a  6, evaluate a 2
8. Given a  3 and b  5 ,
evaluate a  6b
9 Simplify 3 x  4 x 5 
10. Solve x 2  9
( 2 marks)
( 2 marks)
11. Factorise 5ab  15a 
12. Factorise 8 xy  24 x 
13. Solve x  4  16
14. Solve 3x  17  5
15.
16. Solve 23x  4  16
Solve 8x  5  4x  13
(2 marks)
(2 marks)
5
Section C
NUMBER (18)
1. 5  3  2  1 
2. Round $15.79 to the nearest dollar.
3. Calculate (  8) 2 .
4. Change 0.35 to a fraction.
5. 0.5×0.03 =
7.

10. Three decimal numbers are 28.2, 25.82 and
30.05 Write the numbers in order from
smallest to largest.
4
as a percentage.
5
6 ×  15   1 =
13. Change
2
of $21.
3
8. List all the factors of 18.
7 2
+ =
13 13
9. Write
11.
6. Find
12.
5 1

9 3
14. What is 58 as a percentage of 90?
3
to a percentage.
7
15. Gerald’s pay was increased from $9 per hour
to $13 per hour. What was the percentage
increase?
(2 marks)
16. A real-estate firm charges a flat fee of $500 per
sale, plus 2.5% commission on the selling price.
Calculate the amount the firm earns on a house
that they sell for $ 250 000.
( 2 marks )
6
Answer the following questions please ( a survey )
Did you have a
calculator for this
test?
How much time did What could you do
you spend
to help yourself to
studying for this
be better at
test?
mathematics?
Was it your own?
Do you like mathematics?
Circle one of the numbers
below.
1= I don’t like maths very
much.
5 = I like maths a lot.
1
How hard do you try
in class?
1 = not very hard
5 = I try my best
Do you usually do
your home work?
1 = never
5 = always
How well do you
listen in class?
1 = not very well
5 = all the time
1
1
1
2
3
4
5
2
3
4
5
2
3
2
3
4
5
4 5
What else could your teacher do to help you learn better?
7