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C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc
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Year 8 Half Yearly test Homework/Revision Sheet
Answer in the space provided. Show all working.
¦1)! What percentage of the circle is shaded?
4
(A) % (B) 20%
5
¦2)! 9% =
¦3)! 4% of $120 is:
(C) 80%
(D) 0008%
(A) 0·009 (B) 0·09 (C) 0·9
(A) $12 (B) $4·80 (C) $48
(D) 9
(D) $3·33
(A) 80
(D) 67·2
¦4)! Increase 80 by 40% then decrease the result by 40%.
The final answer is:
(B) 112
¦5)! Shade 10% of the figure below.
¦6)! Change 3% to a simple fraction.
¦7)! Complete the missing in the table below:
Fraction
a
b
c
d
Decimal
4
25
0·24
36%
13
25
e
f
0·2
¦8)! Find 5% of 680 L.
¦9)! Find 638% of 15 mL.
¦10)! Increase 150 cents by 16%.
¦11)! Debbie gained 57 marks out of 60 in her Science test.
What percentage is this?
¦12)! A 65 g serve of a tuna contains 156 g of protein. What
percentage of the tuna is protein?
¦13)! Of the 780 students enrolled at Bradman High School,
55% are boys. How many of the students are boys?
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Percentage
60%
(C) 48
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C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc
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¦14)! Marcia is paid 10% commission on any sales she makes.
Calculate Marcia's commission if she sells goods to the
total value of $7500.
¦15)! Calculate the simple interest on $800 at 10% per year for
2 years.
¦16)! A microwave oven with a marked price of $450 was
discounted by 15%. What was the sale price of the
microwave oven?
¦17)! Name the hypotenuse of the right-angled triangle below. (A) XY
X
Z
(B) YZ
(C) XZ
(D) ZY
(B) 17
(C) 169
(D) 289
Y
¦18)! Given that c2 = a2 + b2 and a = 5, b = 12, what is the
value of c?
(A) 13
¦19)!
(A) 17 cm (B) 60 cm (C) 13 cm (D) 169 cm
x
5 cm
12 cm
In the diagram above, x = ?
¦20)!
c
a
(A) c2 = (a + b)2
(C) c2 = a2 + b2
b
For this triangle, which statement is correct?
¦21)! Name the hypotenuse of the right-angled triangle below.
A
B
C
¦22)! Find the value of the pronumeral.
x
6
8
¦23)! Find the value of the pronumeral. Give your answer
correct to one decimal place.
x
7
9
©EDUDATA SOFTWARE PTY LTD:1995-2014
(B) b2 = a2 + c2
(D) a2 = b2 + c2
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¦24)!
C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc
In the rectangular prism above, AB = 7 cm,
BC = 24 cm and AD = 312 cm.
i. Calculate the length of AC.
D
312 cm
A
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ii. Using your answer to (i), calculate the
length of DC.
C
24 cm
7 cm B
¦25)! Find the value of the pronumeral.
17
x
15
¦26)! Calculate the breadth b of the rectangle.
41 cm
b
40 cm
¦27)! 12x  3 + 6x + 2 = ?
(A)
(C)
(A)
(C)
(A)
¦28)! 3(x + 2) = ?
¦29)! x  x = ?
¦30)!
Which answer is NOT equal to
a2
?
b2
¦31)! Simplify 6x + 9y – 3x + 8y.
¦32)! Simplify 5 × 4y.
¦33)! Simplify 5 × 2 × 7a.
¦34)! Simplify 2x × 3xy.
¦35)! Simplify 8m  2.
¦36)! Simplify 9k  k.
¦37)! Expand 5(m + 4).
¦38)! Expand 5a(a – 8).
¦39)! Expand then simplify q(3 + q) – q(q – 2).
¦40)! Expand then simplify 3(p + 3) – 2p – 8.
¦41)! Factorise 5m + 30.
©EDUDATA SOFTWARE PTY LTD:1995-2014
6x  5
(B)
18x  5
(D)
3x + 2
(B)
6x
(D)
2
x + 2 (B) x
aa
b b
a a
(C) 
b b
(A)
6x + 1
18x  1
3x + 6
15x
(C) 2x
(B) 2a  2b
(D) a2  b2
(D) x + x
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¦42)! Factorise 8x + 12.
¦43)!
4t t
 .
9 9
¦44)! The probability of an event that is impossible is:
Simplify
(A) 0
¦45)! A bag contains seven counters numbered as follows:
1
1
2
2
3
3
4
(C) 1
1
(A)
7
One counter is selected at random from the bag. What is
the probability that the selected counter is 2?
¦46)! A fair coin is tossed once. The probability of the coin
(A) 0
landing heads is:
(C) 1
¦47)! The probability that Amy will win a particular game is
3
. What is the probability that she will not win the
8
game?
(A) 1
(C)
5
8
1
2
(D) Between 0 and 1
2
2
(B)
(C)
7
5
(B)
(D)
1
4
1
2
(D) None of these
(B)
(B)
8
3
(D)
3
8
¦48)! Complete the following: "If an event is certain to occur, then the probability of the event is … ".
¦49)!
1
Describe an event that has a probability of occurring equal to .
2
¦50)! A fair die is rolled once. What is the probability of a number less than 5 resulting?
¦51)! A bag contains 5 red marbles, 4 green marbles and 3 blue
marbles. One marble is selected at random. What is the
probability that the chosen marble is white?
¦52)!
Red
Pink
Blue
Green
Yellow
¦53)! What is the complement of a coin landing heads?
¦54)! The probability that Nathan will win a particular game is
1
. What is the probability that he will not win the
3
game?
[[End Of Qns]]
©EDUDATA SOFTWARE PTY LTD:1995-2014
The face of this spinner is a regular pentagon.
The arrow is spun once. What is the probability
that the spinner will land on "Yellow"?
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C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc
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[Answers]
«1) C »
«2) B »
«3) B »
«4) D »
«5) Any 10 small squares »
3
«6)
»
100
6
9
«7) a) 0·16, 16% b)
, 24% c)
, 0·36
25
25
1
3
d) 0·52, 52% e) , 20% f) , 0·6 »
5
5
«8) 34 L »
«9) 957 mL »
«10) 174 cents »
«11) 95% »
«12) 24% »
«13) 429 »
«14) $750 »
«15) $160 »
«16) $38250 »
«17) A »
«18) A »
«19) C »
«20) C »
«21) AB »
«22) 10 »
«23) 114 »
«24) i) 25 cm ii) 313 cm »
«25) 8 »
«26) 9 cm »
«27) D »
«28) B »
«29) B »
«30) B »
«31) 3x + 17y »
«32) 20y »
«33) 70a »
«34) 6x2y »
«35) 4m »
«36) 9 »
«37) 5m + 20 »
«38) 5a2 – 40a »
«39) 5q »
«40) p + 1 »
«41) 5(m + 6) »
«42) 4(2x + 3) »
5t
«43)
»
9
«44) A »
©EDUDATA SOFTWARE PTY LTD:1995-2014
«45) B »
«46) B »
«47) C »
«48) equal to one »
«49) Various answers »
2
«50) »
3
«51) 0 »
1
«52) »
5
«53) Landing tails »
2
«54) »
3