CRITICAL THINKING TEST

The Government has announced that it wants to reduce stressrelated

diseases. A recent study of 8,000 white

collar workers in the United States found that men who had a high level of control over the way they carried

out their jobs had a lower rate of heart disease, a stressrelated

illness. Thus the most stressful jobs are those

in which employees have little control over the pace of their work and how it is organised. Therefore, if the

Government is seriously considering reducing the level of illnesses related to stress, it needs to encourage

employers to give their workers more control over their work.

1. a. How would you define the word “stress” in the context of this passage?

(2 marks)

b. What is meant by “white collar workers”?

(2 marks)

2. What did a recent study of 8,000 workers find?

(1 marks)

3. What conclusion does the author of the passage draw from this?

(2 marks)

4. Is the conclusion of the passage valid in your opinion? Give a reason for your answer.

(4 marks)

5. In your opinion, what else can be done to reduce stressrelated

diseases?

(2 marks)

6. Many managers often find their job stressful. How would you explain that they seem less affected by

heartdisease?

(2 marks)

TOTAL: /15

Maths Sample Test - Part 1

1) On a journey a certain weight of luggage is carried free, but there is a charge of $5 per kilogram for any additional luggage above this weight. Laa-laa’s luggage, which weighs a total of 70kg, is overweight and she is charged $200. If Po’s luggage weighs a total of 45kg, what will she have to pay ?A. $0 B. $25 C. $50 D. $75 E. $225

2) In the diagram PQ = PR, ∠QMP = 80° and ∠QPM = 30°. What is ∠RPM ?

A. 20o B. 35o C. 30o D. 10o E. 15o

3) What is the value of 21 x 101 – 21 – 101 ?A. 2001 B. 2000 C. 1999 D. 1998 E. none of these

4) In the diagram below how many different routes are there from S to T which do not go through either of the points U and V more than once ?

A. 3 B. 6 C. 8 D. 12 E. 18

5) What is the sum of all the first 20 even numbers ?A. 420 B. 105 C. 110 D. 210 E. 410

6) equalsA. 2 B. 1/2 C.1/16 D.1/ √2 E.√2

7) Mary’s height increased by 20% between her 5th birthday and her 10th birthday. It increased by 15% between her 10th birthday and her 15th birthday, and it increased by 10% between her 15th birthday and her 20th birthday. By how much did her height increase between her 5th birthday and her 20th birthday?A. 45% B. 50.8% C. 38.2% D. 51% E.none of these.

8) (1550 + 1551 + 1552 + .... + 1648 + 1649) – (150 + 151 + 152 + .... + 248 + 249) =A. 14000 B. 1401400 C. 16000 D. 140000 E. 160000

9) A rectangular sheet of paper with sides 1 and 2 has been folded once as shown, so that one corner just meets the opposite long edge. What is the value of the length d ?

1/2 B. √2 −1 C. 7/16 D. √3− √2 E. √2/3

10) When exactly is the value of the value of the product equal (1 + 1/2)(1 + 1/3)(1 + 1/4)....(1 + 1/n) equal to an integer?A.

when n is odd B.

when n is even C.

when n is a multiple of 3 D.

always E.

never

11) The diagram shows a trapezium ABCD, whose base length CD is twice the top length AB. If CD is twice CE, what fraction does the area of the triangle take of the area of the trapezium?

1/9 B.2/9 C. 2/(3√3 ) D. 1/(6√3 ) E. 1/3

12) In a right angled triangle the longest side has length 13cm, and one of the shorter sides has length 7cm. Which of the following approximations is closest to the length of the remaining side ?A. 10.0cm B. 10.5cm C. 11cm D. 11.5cm E. 12cm

. 6cm2 B. 4cm2 C. 5cm2 D. 3cm2 E. 8cm2

14) In the diagram PQ = PR = RS. What is the size of angle x?

13) ABCD is a trapezium. The length of CE is ¼ the length of CD, and FD = CE. If the area of each triangle is 1 cm2 what is the area of the trapezium ?

A. 600 B. 1080 C. 900 D. 800 E. 200

15) Ima Divvy used her calculator and divided a number by 40 instead of 8. What should she do now to obtain the correct answer ?A.

divide by 40 B.

divide by 8 C.

multiply by 5 D.

multiply by 320 E.

divideby 5

16) A pencil AB lying on a table is given a half turn about the end B (so that A moves to A') and then a half-turn about A' (so that B moves to B'), and finally a half-turn about B' (so that A' moves to C). The point D of the pencil is three-quarters of the way from A to B. What is the ratio of the total distance moved by A and D?

A. 3 : 4 B. 4 : 2 C. 4 : 3 D. 2 : 3 E. 8 : 5

17) Which of these numbers is odd ?A. 14 + 1 B. 34 + 2 C. 54 + 3 D. 74 + 5 E. 114 + 7

18) The sum of six consecutive odd numbers is 60. What is the smallest of the six numbers ?A. 1 B. 2 C. 3 D. 4 E. 5

19) The integer part of a positive number is the part before the decimal point; The decimal part of a positive number is the part after the decimal point. For example the integer part of 3.72 is ‘3’ and the decimal part is ‘0.72’. Which of the following numbers has a decimal part equal to exactly one-fifth of the integer part ?A. 2.5 B. 3.6 C. 4.6 D. 5.8 E. 6.2

20) If |x| < 0.5, (4 - 8x) - ½ =A.

½ (1 + x + 3x2/2 + ...) B.

½ (1 – x + 3x2/2 + ...) C.

½ (1 + x – 3x2/2 + ...) D.

2 (1 + x + 3x2/2 + ...) E.

½ (1 + x + 3x2/2)

21) For each real number x, let [x] be the biggest integer which is less than or equal to x. What can you say about the following three equations ?

(i) [p + 3] = [p] + 3

(ii) [p + q] = [p] + [q]

(iii) [5p] = 5 [p]A.

all three equations are true for all real numbers p and q. B.

equations (i) and (iii) are true for all real number p. C.

the three equations are true only when p and q are integers. D.

equations (i) and (ii) are true for all real number p and q. E.

equations (ii) and (iii) are false for most values of p and q.

22) If y = xex then dy/dx =A. xex B. x + ex C.x + xex D.ex + xex E. None of these

23) If c is a constant, what is (2 − 3x2)2 dx ?A.

- 24x2 + 36x3 + c B.

4x − 12x3 + 9x5 + c C.

4 − 4x2 + 9x4/4 + c D.

4x − 4x3 + 9x5/5 + c E.

None of these

24) Observe that 18 = 42 + 12 + 12 + 02. How many of the first fifteen positive integers can be written as the sum of the squares of four integers ?A. 15 B. 14 C. 13 D. 12 E. 11

25) In the diagram below the smaller circle touches the larger circle and goes through the centre of the larger circle. What fraction of the area of the larger circle is outside the smaller circle ?

. 2/3 B. 3/4 C. 4/5 D. 5/6 E. 7/8

26) If y = sin(x2) then dy/dx =A.

cos(x2) B.

2x.sin(x2) C.

2sin(x) D.

2x.cos(x) E.

2x.cos(x2)

27) (x − 1)(x4 + 1)(x2 + 1)(x + 1) =A.

x8 + 1 B.

x8 + x6 + x4 + x2 + 1 C.

x8 - 1 D.

x8 + x7 + x6 + x5 + x4 + x3 + x2 + x + 1 E.

x8 - x6 + x4 - 1

28) If x2 - 3x + 1 = 0, what is the value of x2 + (1/x)2 ?A. 7 B. (7 −3√5 )/2 C. 9 D. (7 +3√5 )/2 E. 10

29) The expression ”3 7 → 4 is a short way of writing the statement “it is possible to fit a 3-sided polygon and a 7-sided polygon together (without overlap) to make a 4-sided polygon”. This statement is correct (as shown in the diagram below). Which of the following is a statement which is NOT correct ?

A. 3 5 → 4 B. 3 6 → 4 C. 3 8 → 4 D. 4 6 → 4 E. 4 8 → 4

30) Consider the triangle of numbers below :

X and Y equalA.10 and 32 B.5 and 19 C.6 and 13 D.4 and 19 E. 6 and 19

ФИЗИКА

1) Which of the graphs best represents the velocity-time graph of a ball thrown vertically upwards which returns to the thrower?

2) A car takes 2 s to accelerate uniformly from rest until it reaches a speed of 5 m s-1. How far does it travel during the 2 seconds?A. 2 m B.5 m C. 10 m D. 25 m E. 50 m

3) A 5 kg mass is traveling with a speed of 5 m s-1. It is brought to rest in 0.5 s. What is the average force acting on it to bring it to rest?A. 50 N B. 25 N C. 10 N D. 2.5 N E. 0.5 N

4) A car of mass 800 kg which is moving east at 50 m s-1 collides head-on with a van of mass 1600 kg which is moving west at

10 m s-1. What will happen if the vehicles stick together? Will they:A.

be stationary B.

move east at

20 m s-1 C.

move west at

20 m s-1 D.

move east at

10 m s-1 E.

move west at

10 m s-1

5) 4 kg of water is tipped from a bucket at the top of a building of height 400 m and forms a stationary pool on the ground. What will be its change in energy?A.

1 600 000 J gain B.

16 000 J gain C.

no change D.

16 000 J loss E.

1 600 000 J loss

6) When a mass of 300 g is hung on a spring, the length of the spring increases by 3.0 cm. By how much would it increase in length if a mass of 200 g were hung on it?A. 2.0 cm B.3.0 cm C.4.0 cm D.4.5 cm E. 6.0 cm

7) Shallow water waves travel a distance of 45 cm in 3 s. If the crests are 3 cm apart, what is frequency of the vibrator causing the waves?A. 5 Hz B. 7.5 Hz C. 11.25 Hz D. 20 Hz E.some other value

8) What happens when waves move from deep to shallow water?A.

Their wavelength decreases because their velocity decreases. B.

Their wavelength decreases because their velocity increases. C.

Their frequency increases because their velocity increases. D.

Their frequency decreases because their velocity increases. E.

Their frequency decreases because their velocity decreases.

9) Two coils of wire, of resistance 2 ohms and 3 ohms respectively, are connected in series with a 10 volt battery of negligible internal resistance as shown.

0.1 A B. 0.5 A C. 0.6 A D. 1.1 A E. 2.0 A

21) A 2000 μF capacitor stores 200 mC of charge. The p.d. across this capacitor is:A. 8.3 V B. 10 V C.12 V D.83 V E. 100 V

22) Two parallel metal plates are connected to a 2.5 kV power supply. The work done by the electric field on an electron, charge

-1.6 x 10-19 C, moving from the negative plate to the positive plate is:A. 4.0 x 10-16 J B.8.0 x 10-16 J C.4.0 x 10-19 J D.8.0 x 10-19 J E. 3.2 x 10-23 J

23) The Earth may be considered as a uniform sphere of mass M and radius r. Which one of the following equations correctly relates the gravitational constant G and the acceleration of free fall g at the surface of the Earth?A. G = gM/r2 B. G = gr2/M C. G = r2/gM D. G = M/gr2 E. G = gMr2

24) A ray of monochromatic light passes from air into glass as shown

gle of incidence in the air is 42° and the angle of refraction in the glass is 26°. The refractive index for the glass for this light is:A. 0.62 B.0.65 C. 1.00 D. 1.53 E. 1.61

25) An electric heater of 150 W provides heat to a perfectly insulated beaker of water of mass 100 g and specific heat capacity

4200 J kg-1 K-1. The rate of temperature rise is:A. 0.72 Js-1 B.0.72 Js-1 C.0.18 Js-1 D. 1.8 Js-1 E. 0.36 Js-1

26) The number of disintegrations per second in a sample of a radioactive nuclide depends on the:

1. number of atoms in one mole of atoms of the nuclide.

2. number of atoms in the sample.

3. half-life of the nuclide.A.

1, 2, 3 correct B.

1, 2 only C.

2, 3 only D.

1 only E.

3 only

27) When an alpha particle approaches a heavy nucleus X, it may behave in various ways depending on its initial direction of travel. The diagram below shows various paths, P, Q, R, S and T.

Which one of the following statements is correct?A.

All of these are possible B.

Neither P nor R is possible C.

Both R and T are possible D.

Both Q and S are possible E.

Noneofthesearepossible

28) Two point charges X = +2 μC and Y = -3 μC are placed 100 mm apart. The electric potential V due to the two charges (along the line between them) will be zero at a distance, in mm, from X ofA. 30 B. 40 C. 50 D. 60 E. 70

29) A block of metal of density 7.8 g cm-3 has sides of 2 cm, 3 cm and 5 cm. It is placed with one of its faces resting on a smooth table. What is the maximum pressure exerted by this block on the table?A. 39.0 Pa B. 23.4 Pa C. 58.5 Pa D. l.56 Pa E. 3.82 Pa

30) Mars has a diameter of approximately 0.5 that of Earth, and a mass of 0.1 that of Earth. The surface gravitational field strength on Mars compared with that on Earth is greater by a factor of:A. x 0.1 B. x 0.2 C. x 0.4 D. x 2.0 E. x 10.0

Date: 2015-02-16; view: 1908