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? _________ 本文来源：https://www.wddqw.com/doc/345a7110f18583d04964596b.html