Download MARK - Pukekohe High School

YEAR 9 MATHEMATICS EXAM
TERM 1 (75 Marks)
NAME……………………………………… LEARNING GROUP…………
Numbers
TOPIC
MARK
/42
Number:
Algebra
TOTAL
MARK
/33
/75
%
[42 marks]
1.
356+ 1277
2.
613 – 57
3.
325  13
4.
3913  13
5.
4  (7 +2)
6.
22 – 24  4
7.
50 + 16  4 – 3  2
8.
7( 16 –2) + 3( 23 + 3 )
9.
10.
3 – 3 3
11.
6  5
12.
(4 – 1)  ((7 – 4)+3)
13.
(–2)3
14.
–62
15.
6 + (–7)  2
16.
0.5  0.2
17.
4 + 2.6 + 1.2+ 8
18.
Round 15.69 to one
decimal place
5 26.4
19. Fill the space so that
both fractions are equivalent.
5

9 45
22.
3 1

7 7
3
as an
4
improper fraction.
20.
23.
Rewrite 2
1 3

3 5
21.
Rewrite
number.
24.
6 7

7 12
46
as a mixed
5
25.
28.
2 1
3 
5 3
Rewrite
3
as a
4
26.
Find
4
of 60 kg.
5
27.
Rewrite
29.
Calculate 30% of $950.
30.
Change a mathematics
test mark of 42 out of 75
to a percentage.
32.
List all the factors of 36.
33.
Write down the 9th even
number.
percentage.
31.
Find the fifth multiple
of 6.
2
as a decimal.
5
34. Find the Lowest Common
Multiple (LCM) of 3, 5 and
10.
35. Find the highest common
factor (HCF) of the numbers
24 and 32.
36. If you take any whole
number and multiply it by
two and then add four, do
you always get an even
number or an odd number?
37. What is the shortest
length of rope that you can
cut into either 8m or 6m
lengths exactly?
Explain your answer. [2]
38. Ngawai eats 4 oranges
and 5 bananas every week.
How many pieces of fruit
does she eat altogether in a
half of the year (26 weeks)?
[2]
39. There are eleven year 9
Maths classes, each with 26
students. If each had 2
students added to it then how
many students, in total,
would there be in year 9? [2]
40.
2
Algebra:
[33 marks]
1.
Simplify
3m + 4m
2.
Simplify
7p + p
3.
Simplify
11g + 5g + 7 + 6
4.
Simplify
12x2 + 2x2
5.
Simplify
5x + 4 + 2x + 5
6.
Simplify
2xy + 2 + 11yx – 6
7.
8.
Simplify
3x  4x
9.
10. Expand
4(a – 2)
11. Expand
a(3a – 2)
12. Expand and simplify
2(a + 7) – 3(a – 4)
13.
Simplify
2
3a  4b  a
14. Simplify
9a
3
15. Simplify
12 x 2
4x
Simplify
x x x x
Simplify
a  a 3
Substitution:
If p = 3, q = 2, r = 5 and s = –2 then evaluate the following:
16. 3p – r
17. p( q + r )  3
18.
pqr
19.
p – qs
20.
p2 + pq – s
21.
pq – r(p – s)
22.
Solve the equation
4x  12
23.
Solve the equation [2]
4x  3  23
3
24.
26.
Solve the equation [2]
7 x  17  25
25. Solve the equation [2]
2(3x-1)=70
The following pattern is made from tiles:
(a) Draw the next diagram for this pattern.
(b) Complete the table below:
Number of white tiles
(n)
Number of grey tiles (g)
1
2
3
10
4
5
6
14
(c) If g stands for the number of grey tiles and n stands for the number of white tiles,
write down the rule (formula) for this pattern. [2]
g = ______________
(d) How many grey tiles will there be when there are 30 white tiles?
_________________
Please fill in the following report
How long did you Did you have a
study for this
scientific calculator?
exam?
Is it your own
calculator?
How hard do you
normally try in
class? (circle)
1 = very little
5 = very hard
What do you think
your percentage will
be for this exam?
What can the teacher do to help you achieve
better results?
What can you do to help yourself improve?
1 2 3 4 5
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