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I am a hamburger

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I am a hamburger
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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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