Year 9 EOY Examination 2014 Actual

NAME:
TEACHER:
Pakuranga College
Year 9
Mathematics
2014 Examination
Time: 2 hours
Sections:
Topic
Time
Number
30 mins
Algebra
30 mins
Statistics
20 mins
Measurement
20 mins
Geometry
20 mins
Score
NZC Level
Students are advised to bring a Calculator, ruler, pen, pencil and eraser.
Paper for working will be provided.
Top down marking means you do not need to do level 3 questions to gain level 4 or 5.
No copyright issues APN 2014
Page 1
Number Section Level 3 (10 minutes).
1.
3+15= __
14.
3*(2+5)=__*__=__
2.
1.5 + 0.5 = __=__
15.
What comes next? 1,2,4,8,16,__
3.
2003-47=____
16.
How many tens are in 7084? __
4.
3*40=__
17.
Which is bigger ½ or ¼ ? ___
5.
97-67=___
18.
Which is smaller 1/13 or 1/12? ___
6.
15/3=___
19.
Write 50% as a fraction _____
7.
4/50 – 2/50 = __/__
20.
Write 0.25 as a percentage ____
8.
Reorder the numbers to make
21.
Write 2% as a decimal ____
addition easier, use tidy numbers.
22.
9/10 as a decimal is ___
5+4+46+75=(__+__)+(__+__)
23.
25% of $80 is ____
List the prime factors of 12:
24.
List all the factors of 26:
9.
_________________________
__________________________
List the first 6 multiples of 8:
25.
4 to the power of 2 =42 = ___
_________________________
26.
¾ - ½ = ___
11.
What is the square root of 100? __
27.
The denominator of 8/5 is __
12.
Given 6 squared is 36, what is the
28.
The numerator of 6/8 is __
square root of 36? __
29.
Simplify 30/60 = __/__
(3+8)*(6-3)=__*__=__
30.
Write 10/40 as a percentage ___%
10.
13.
Level 315-19
EOY Exam Year 9
Level 3
20-24
Level 3+
25-30
Thursday, 23 October 2014 by APN
Page 2
Number Section Level 4 (10 minutes).
1.
2003-246=____
15.
Which is bigger 5/8 or 4/7? ___
2.
32*5=__
16.
Which is smaller 7/8 or 1/13? ___
3.
9-31=___
17.
0.3 times 0.7 = ____
4.
2.4 - 2.6=___
18.
Write 65% as a fraction _____
5.
3/5 + 4/5 = __/__
19.
Write 0.1 as a percentage ____
6.
List the prime factors of 81:
20.
Write 5.7% as a decimal ____
_________________________
21.
What is 25% of $80? ____
7.
LCM of 15 and 25___________
22.
5/12 as a decimal is ___
8.
HCF of 15 and 25___________
23.
65% as a fraction is ___
9.
What is the cubed root of 8? __
24.
72% of $40 is ____
10.
Given 3 cubed is 27, what is the
25.
5 to the power of 4 = 54= ___
cubed root of 27? __
26.
-2 to the power of 2 =(-2)2 = ___
If a cubed is b, what is the cubed
27.
Round 3.09 to the nearest whole
11.
root of b? __
number ____
12.
(3-2)*(6+7)=__*__=__
28.
Round 5.608 to the nearest tenth: __
13.
What comes next? 9,7,5,3,__
29.
Simplify 30/80 = __/__
14.
How many tenths are in 768.47? __
30.
Decrease 150 by 70% _____
Level 415-19
EOY Exam Year 9
Level 4
20-24
Level 4+
25-30
Thursday, 23 October 2014 by APN
Page 3
Number Section Level 5 (10 minutes).
1.
305 in standard form= ___ * 102
20.
LCM of 15 and 20___________
2.
2918 in standard form = ____ * ____
21.
What is the cubed root of 64? __
3.
-31+17+23-19=___
22.
Given 2 cubed is 8, what is the cubed
4.
5(½ - 1/3) = __*__=__
5.
Round 20.324 to 2 dp= _____
6.
Round 20.356 to 4 sf = _____
7.
30*95%=__
24.
8.
22% of 20*52=____
25.
9.
Increase $75 by 5%=______
10.
Decrease $87 by 15%=_____
11.
3% times 1%=___
fence. How many people are needed to
12.
0.15 times 260=___
paint the fence in 4 hours? _____
13.
If 4 hats takes two balls of wool, how
root of 8000? _____
23.
Given 5 cubed is 125, what is the
cubed root of 0.125? _____
73 – 102 = _____
Put in order 0.193, 0.2, 0.29, 0.19
__________________________
26.
27.
3 people take 12 hours to paint a
A car is travelling at 50 km per hour.
many balls of wool do I need to have to
How many hours will it take to travel
mane 8 hats? __________
150km? _____
14.
32 – 28 =___
15.
19/5 – 14/5 = __/__
up firewood, how many minutes would
16.
(110-210)/5=___
it take 6 people? _____
17.
5*4 – 5*9 = 5*___ = ___
29.
3/5 times 2/9 = ___
18.
Which is smaller 0.09 or 0.1? ___
30.
Write 3.867 * 103 in decimal form
19.
List the common prime factors of 36
28.
If three people take five hours to chop
___________
and 42 _____________________
Level 515-19
EOY Exam Year 9
Level 5
20-24
Level 5+
25-30
Thursday, 23 October 2014 by APN
Page 4
Algebra Section Level 3 (10 minutes).
1. Continue the pattern, draw the next three terms. [3 marks]
2. Complete the table: [8 marks]
Term n
1
2
Number
3
of lines.
3
4
5
6
7
10
3. Describe the rule for the next pattern: [1 mark]
4. Describe the rule for the nth pattern: [1 mark]
5. Graph the pattern.
The term or pattern
number (n) is on the x
axis.
The number of lines in
the pattern on the y axis.
[5 points, 0.5 for each
correctly plotted point]
6. If the dots were joined up with a line, (which we do NOT do because there are no
patterns between the patterns), what would the gradient of this line be? [1 mark]
7. How does the gradient connect with the rule? [1 mark]
Level 35-9
EOY Exam Year 9
Level 3
10-14
Level 3+
15-20
Thursday, 23 October 2014 by APN
n
Page 5
Algebra Section Level 4 (10 minutes).
1. A function machine has an input and an output. The first function takes the number
which is input and outputs that number multiplied by 3. The rule is 3n. Can you work out
the rules for the other 3 function machines and write the rule in the empty box.
[3 marks: 1 marks per rule] NZMathsAnswersHere
2. What can you say about n + (n+1) + (n+2) compared with 3n + 3? [1 Mark]
3. Expand the following expressions: [5 marks]
a. 7(a+2b)=
d. 2x(3x-1)=
b. 5(x+2)=
e. 2(2x+1)+4(x+2)=
c. 2a(a+3b)=
4. Solve for x: [5 marks]
a. 10+x=15
d. 7x+7=28
b. 3x=21
e. 3+2x=6+x
c. 3(x+2)=18
Algebra Section Level 5 (10 minutes).
1. Fill out the table in relation to the graph below. [12 marks, 1 per answer]
Function
X-intercept
Y-intercept
Gradient
LineA
LineB
CurveC
Equation
2. What are the exact co-ordinates of the point where
LineA and LineB intersect? [2 Marks] Show all working.
3. What are the co-ordinates of the points where LineA
and CurveC intersect? [2 Marks] Show all working.
Level 45-8
Level 4
9-12
EOY Exam Year 9
Level 4+
13-16
Level 517-20
Level 5
22-25
Thursday, 23 October 2014 by APN
Level 5+
26-30
Page 6
Statistics Section Level 3 (10 minutes).
1. Explain each step of the PPDAC cycle: [10 Marks]
P-P-D-A-C
Short description
P is for
P is for
D is for
A is for
C is for
2. This image is from new.censusatschool.org.nz. Data Viewer.
a. Which part of the
PPDAC cycle does this
image belong? [1
Mark]
b. How many males were in this sample? [2 Marks]
c. How many females were in this sample? [2 Marks]
d. Is the sample large enough to give information about the population? [2 marks]
e. What is the population? [2 Marks]
f. What else do the Box Plots tell you about the sample? [10 Marks]
Fill in the table below by estimating the values from the Box plot.
Males
Females
Lowest Armspan
Lower Quartile
Median
Upper Quartile
Highest Armspan
g. What units is the arm-span measured in? [1 Mark]
Level 315-19
EOY Exam Year 9
Level 3
20-24
Level 3+
25-30
Thursday, 23 October 2014 by APN
Page 7
Statistics Section Level 4 (5 minutes).
1. Discus the similarities and differences between this sample and the sample on the
previous page (inset). [14 Marks]
Describe the Similarity or Difference
It matters because?
Statistics Section Level 4&5 (5 minutes).
1. Discus this sample, using statistical
language. Words that might help you
include: representative, difference,
variation, outliers, interquartile range,
spread, central tendency. [ 16 Marks]
Level 47-10
Level 4
11-14
EOY Exam Year 9
Level 4+
15-18
Level 519-22
Level 5
23-26
Thursday, 23 October 2014 by APN
Level 5+
27-30
Page 8
Measurement Section Level 3 (10 minutes).
1. Fill in the table below:[15 Marks, one per cell]
Level 35-8
EOY Exam Year 9
Perimeter
Area
Shape
4 units
1 unit
squared
Square
Volume in units
cubed.
Surface Area
in units
squared.
Total outside
edges in units.
Level 3
9-12
Level 3+
13-15
Thursday, 23 October 2014 by APN
Page 9
Measurement Section Level 4 (5 minutes).
1. Estimate (or calculate) the number of blocks
used to create this image. The clarity of
your working is worth more marks than the
answer. [5 Marks]
2. Explain any assumptions made. [5 Marks]
3. Calculate (or estimate) the surface area of the shape. [5 Marks]
Measurement Section Level 5 (5 minutes).
1. Name the 3D shape. [3 Marks]
2. Calculate the volume of this 3D shape. [4 Marks]
3. Calculate the surface area of this 3D shape. [4 Marks]
4. Calculate the edge length of this 3D shape. [4 Marks]
Level 47-10
Level 4
11-14
EOY Exam Year 9
Level 4+
15-18
Level 519-22
Level 5
23-26
Thursday, 23 October 2014 by APN
Level 5+
27-30
Page 10
Geometry Section Level 3 (10 minutes).
1. Fill in the table below.[15 Marks: 5 Marks per transformation]
Label the Object and Image. [1]
Name of
Label the transformations identifiers.[1] transformation [1]
Give as much detail as
you can.[2]
is the object
We can keep building on the pattern:
2. Sketch and Name five polyhedra (platonic solids, prisms, pyramids) of your choice.
[10 Marks- 1 Mark per sketch, 1 Mark for the correct name]
Level 310-14
EOY Exam Year 9
Level 3
15-19
Level 3+
20-25
Thursday, 23 October 2014 by APN
Page 11
Geometry Section Level 4 (5 minutes).
1. Fill in the table with the missing information, the first row is done for you. [12 Marks]
Name
3D
Faces; Edges;
Vertices.
Net
Faces= 20
Edges=30
Vertices=12
Icosahedron
Geometry Section Level 5 (5 minutes).
1. Label this diagram with everything you can, giving the geometrical reasons. The dotted
lines are parallel.[13 Marks: Find at least 8 Angles and give at least 5 reasons]
Level 47-9
Level 4
10-12
EOY Exam Year 9
Level 4+
13-15
Level 516-18
Level 5
19-21
Thursday, 23 October 2014 by APN
Level 5+
22-25

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