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Southern Cross Ecotourism & Education Ltd
Year 10 Entrance Examination
Name ___________ Year ______ Date_____________ Score ______/22
Multiple- Choice Questions:
1. If e=3 and f=4, then 2ef2 equals___________
A.48 B.96 C.288 D.576 2. If (x-3)÷(x+2)=0 then x=__________
A. -3/2 B. -2 C. 0 D. 3
3. A car uses 500ml to travel 5.5km. How many liters would the car use to travel 218km?____
A. 19 B. 20 C. 21 D. no of these
4. A plane flying south turned anti-clockwise through 1350. In what direction is it now flying? _________
A. NW B. SW C. NE D. SE
5. In a class of 48 students, 36 are girls. Then fraction of boys in the class is ___ A. 3/4 B. 1/4 C.1/3 D. 2/3
6. Tina thinks of a number, add 3 to it, and then square the result, I get 25. The equation represented by this expression is_________
A. n2+32=25 B. n2+3=25 C. n+32=25 D. (n+3)2=25
2. Two angles in an isosceles triangle measure 400, what is the size of the third angles? _____________ this type of angle we call__________
3. Find the unknown angles x0 below
A. B. C. x=______ x =_______ x = __________
4. Rangi pays 10% of the cost of a $120 computer game, A. How much does he paid? _____________
B. The rest of the money will be paid monthly and each month will be same amount he had paid. How many months will he pay off? __________
C. He delivers Newspaper to make money, Hourly rate is $6, how many hours he needs work totally to pay the left amount of money? ___________
5. If 100m of fence enclose a square plot of 625m2, how large a square will 200m of fence enclose?_____________
6. The chef drew a bar graph to show where the diners in his restaurant come from. What percentage was from New Zealand?
___________________%____
7. It will cost $420 to hire a bus with 40 seaters for a trip, we charge each adult $12 and each student $8 for a seater.
We want to know the minimum number of adults needed to cover the cost of hiring the bus. The simultaneous equations: x+y=40 8x+12y=420 a. Clearly explain what the term 8x represents.
________________________________________________________
b. Use the simultaneous equations to find the minimum number of adults needed. (show all your work)
8. When throwing 2 dice together, the probability of scoring a total of 4 is: show you work:
9. Work out the co-ordinates of the point which lies on both the lines y=x+1 and 3y=6-x. Draw these 2 lines below.
10. How many triangles are there in this figure?
_________
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