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NORTH SYDNEY GIRLS HIGH SCHOOL Year 7 Term 3 Mathematics Examination 2014
SUGGESTED SOLUTIONS
PART A ANSWERS 1.
Write 83 as a mixed numeral.
23
2
2.
Express 299 as a recurring decimal. NB
29
0.
2
a common mistake
0.
0
2
3.
What fraction is $4 of $10 in simplest form?
42105
25
4.
Find 15% of 30.
3
15
2
10339
30220
12
9,4,4.52
5.
Round 29.8953 to 2 decimal places. 29.8 9 5 3 29.90
6.
Is the following statement true or false? Alternate angles are always equal. NB In the diagram
and
are alternate angles but they are not equal FALSE
7.
Name the pair of marked angles as alternate, corresponding or cointerior angles. Corresponding
8.
Is the following statement true or false? Penny tossed a coin three times. All three tosses resulted in a head. It is more likely that she will get a tail on her fourth toss. False. The chance of another tail is 50%
9.
20 teachers were asked whether they like or dislike coffee and tea. The results are shown below. A teacher is selected at random. What is the probability that he or she likes both coffee and tea?
Like coffee Dislike coffeeLike tea
7 5
Dislike tea
5 3
720
10.
30 students were asked whether they take a bus, train or both to school. The results are shown the Venn diagram below. A student is selected at random. If every student takes at least one form of transport, what is the probability that he or she takes the train only? There are 12 students missing i.e. 13 + 5 +
Δ
= 30
∴
Δ
= 12.
∴
P(train only) =
122305
25
12
PART B 1.
Find the value of
x
, giving reasons for your answer.
x
+ 80 = 180° (cointerior angles,
AB
||
CD
)
∴
x
= 100
22.
State whether the followings pair of lines are parallel or not parallel. Give reasons for your answer. Diagram is not drawn to scale.
CGH
+ 70° = 180° (straight angle)
∴
CGH
= 110° Similarly,
EHG
+ 100° = 180°
∴
EHG
= 80°
EHG
and
CGH
are cointerior, but
EHG
+
CGH
180°
∴
CD
||
EF
(cointerior angles not supplementary)
DIAGRAM NOT DRAWN TO SCALE DIAGRAM NOT DRAWN TO SCALE

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