英文数学测试题

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___________

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 . 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 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?