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MATHEMATICS PLACEMENT TEST

Time allowed 1Hr

Calculators may NOT be used.

Write your answers on the sheetprovided.

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1. 209 + 376 + 523 =2. 6.24 2.35 =3. If I give away 7 sweets and have 16 left, how many did I start with?4. If I divide 56 by a certain number my answer is 8. What number did

I divide by?

5. If x + 19 = 32, what is the value of x?6. How many minutes in 4 hours?7. Write 278 to the nearest 10.8. Find the mean (average) of 10, 8, 18, 12.9. 3(14 9) =

10.=

11.=

12. Complete the table

13. Calculate 527 4 to the nearest whole number.14. List the prime factors of 30

15. =

16. If a = 6 and b = 3, find a2b17. How long is it between 11.20 am and 1.15 pm?18. Calculate the square of 0.419. Write two more terms in the sequence: 2, 3, 5, 8, 1220. Simplify x6 x2

21. Factorise ab + bc22. Multiply out (x + 3)(x + 5)

23. Write 85 : 55 in its simplest form.24. A circle has a diameter of 6cm, what is its area to the nearest cm?25. If a car travels 120 km in 3 hours, how far will it travel in 4 hrs at

the same speed?

Fraction Decimal Percentage

0.2

80

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26. What is the nth term of the sequence 3, 6, 9, 12, 15?27. If the perimeter of the shape below is 14 m, what are the values of

x and y?

28. a) What are the co-ordinates of the point where the lines cross?b) What is the equation of line segment Q R?

Area = 12m2

x

y

Q

R

72 3 4 5 61

7

0

1

6

5

4

3

2

y

x

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29. The graph below shows the number of different coloured sweets in apacket:

a) How many sweets are there in the packet?b) Which colours have equal numbers of sweets?c) What percentage of the total are red?d) When a sweet is picked at random from the packet; what is the

probability that it is yellow?e) When a sweet is picked at random from the packet; what is the

probability that it is red or blue?30. A wheel has a radius of 5cm. How many times will it turn when ittravels 31.4m?31. Three bells ring at intervals of 3 seconds, 6 seconds and 7 seconds.

If they all start to ring at the same time, after how many seconds willthey again ring together?

32. A cuboid of side 10 cm x 10cm x 16cm is to be filled with cubes ofside 2cm. How many cubes will be needed?

Numberof

sweets

Colour ofsweets

6

10

8

4

2

Red Orange Yellow Green Pink Blue Brown

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33. Calculate the shaded area of the 16 squares.

34. 20062

a) 4 036 b) 42 436 c) 400 036 d) 4 024 036 e) 4 000036

35. The diagram shows a rectangle that just touches an equilateraltriangle.

Work out the size of angle ao

36. n = 4/11 On my calculator, n is shown as 0.3636363636a) Write n to 3 significant figuresb) Write 100n to 2 decimal places

37. What is the area of this shape?

38. Which of three of these nets could be used to make the hexagonalprism?

a) a(c b)b) a(c + b)c) c(a + b)d) b(a + c)e) b(c a)

8cm

ao

34o

a

b

c

a

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39. If an ordinary dice was rolled 54 times. How many times would athree be expected to be scored.

40. Solve for xx2 9x + 18 = 0

41. If PQ = QR = PR = 2cm. Find the length A B.

A

BC

D E

B

A RP

Q