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DIAGNOSTIC TEST STPM SSIJB

Total questions: 51

Worksheet time: 28mins

Name
Class
Date
1.

1. Which figure is the odd one out?

a)

A

b)

B

c)

C

d)

D

2.

2. Which of the following figures is the odd one out?

a)

A

b)

B

c)

C

d)

D

e)

E

3.

3. Which of the following figures is the odd one out?

a)

A

b)

B

c)

C

d)

D

4.

4. How many four sided shapes does this diagram have?

a)

11-15

b)

16-20

c)

21-25

d)

26-30

5.

5. Rearrange the following letters to make a word and choose the category in which it fits.

RAPETEKA

a)

City

b)

Fruit

c)

Bird

d)

Vegetable

6.

6. Which one of the sets of letters below can be arranged into a five letter English word.

a)

A T R U N

b)

P O D E B

c)

R N A S L

d)

M O H A T

7.

7. Which number should come next in this series?

25,24,22,19,15

a)

4

b)

5

c)

10

d)

14

8.

8. Which number should come next in this series?

3,5,8,13,21

a)

4

b)

21

c)

31

d)

34

9.

Which diagram results from folding the diagram on the left?

a)

A

b)

B

c)

C

d)

D

10.

10. Which of the cubes is the same as the unfolded cube below?

a)

A

b)

B

c)

C

d)

D

11.

11. The rectangles S1 and S2 in the picture have the same area. Determine the ratio  xy\frac{x}{y}   . 



a)

1

b)

 32\frac{3}{2}  

c)

 43\frac{4}{3}  

d)

 75\frac{7}{5}  

e)

 85\frac{8}{5}  

12.

If  x2x^2  -  4x+2=04x+2=0  then  x+2xx+\frac{2}{x}  is equal to 

a)

-4

b)

-2

c)

0

d)

2

e)

4

13.

The lengths of arc AP and arc BP in the figure are 20 and 16, respectively. Then the value of the  \angle   AXP equals

a)

 30°30\degree  

b)

 24°24\degree  

c)

 18°18\degree  

d)

 15°15\degree  

e)

 10°10\degree  

14.

What is  x4x_4  if  x1x_1   =2=2  and  xn+1x_{n+1}  for  n1n\ge1  ?

a)

 2232^{2^3}  

b)

 2242^{2^4}  

c)

 22112^{2^{11}}  

d)

 22162^{2^{16}}  

e)

 227682^{2^{768}}  

15.

15. Siti cuts up a rectangle of area 2016 into 56 equal squares. The lengths of the sides of the rectangle and of the squares are integers. For how many different rectangles is it possible for her to to do this? (Two rectangles that can be obtained from one another by rotating 90 degrees are considered the same.)

a)

2

b)

4

c)

6

d)

8

e)

0

16.

16. The equations  x2+ax+b=0x^2+ax+b=0  and  x2+bx+a=0x^2+bx+a=0  both have real roots. It is known that the sum of squares of the roots of the first equation is equal to the sum of squares of the roots of the second one, and  aba\ne b  . Then  a+ba+b  equals

a)

0

b)

-2

c)

4

d)

-4

e)

8

17.

17. If the perimeter of the square in the figure equals 4 then the perimeter of the equilateral triangle equals 

a)

4

b)

 3+33+\sqrt{3}  

c)

3

d)

 3+23+\sqrt{2}  

e)

 4+34+\sqrt{3}  

18.

18. Chong Sen draws five points A, B, C, D and E on a circle as well as the tangent to the circle at A, such that all five angles marks with x are equal. (Note that the drawing is not to scale.) What is  ABD\angle ABD  ?         

a)

 66°66\degree  

b)

 70.5°70.5\degree  

c)

 72°72\degree  

d)

 75°75\degree  

e)

 77.5°77.5\degree  

19.

19. Determine the  number of real solutions to the equation (x24x+5)x2+x30=1\left(x^2-4x+5\right)^{x^2+x-30}=1  


a)

1

b)

2

c)

3

d)

4

e)

5

20.

1. On Fantasy Island every citizen is either a Knight (who always speak the truth) or a Knave (who always lies). 20. During your travels on the island you meet 7 people sitting around a bonfire. They all tell you “I’m sitting two Knaves!” How many Knaves are there?

a)

3

b)

4

c)

5

d)

6

e)

7

21.

21. The velocity-time (v – t) graph of a motorcycle is as shown below.

a)
b)
c)
d)
22.

22. A stationary body is acted on by a force in a fixed direction. The figure below shows how the magnitude of the force, F changes with the time, t.

a)
b)
c)
d)
23.

23. A body of mass 2.0 kg is acted upon by a force as shown in the graph below.

a)

4 N

b)

6 N

c)

8 N

d)

10 N

24.

24. A force F is applied to a body of mass m on a smooth inclined plane so that the body is in static equilibrium as shown in the figure below. Which of the following is true concerning the given quantities?

a)

mg cosθ = F sin βmg\ \cos\theta\ =\ F\ \sin\ \beta

b)

mg sin θ = F tan βmg\ \sin\ \theta\ =\ F\ \tan\ \beta

c)

mg sin θ = F sin βmg\ \sin\ \theta\ =\ F\ \sin\ \beta

d)

mg cos θ = F cos βmg\ \cos\ \theta\ =\ F\ \cos\ \beta

25.

25. Inextensible strings hold block A and block B as shown in the figure below. Block B has a weight of 720 N and the frictional force between B and the table is 180 N. What is the weight of block A if the system is in equilibrium?

a)

104 N

b)

218 N

c)

326 N

d)

450 N

26.

26. P and Q are two identical positive point charges. Point Y is the mid-point between P and Q as shown in the diagram. A negative point charge is placed at point X, Y and Z respectively.

a)

At point X, the negative point charge experiences a resultant force in the direction towards Q.

b)

At point Y, the negative point charge experiences no resultant force.

c)

At point Z, the negative point charge experiences a resultant force in the direction towards P.

d)

At point Y, the negative point charge experiences a resultant force in the direction towards P.

.

27.

27. Three currents I1, I2, and I3 flow through a junction. Which junction shows the combination of current I2 = I1 + I3?

a)
b)
c)
d)
28.

28. Which of the following statements is true for a damped system of oscillation?

a)

The oscillating amplitude is maximum when forced frequency is almost the same as the natural frequency

b)

The system does not oscillate at its natural frequency

c)

When resonance takes place, the system does not lose energy

d)

Damping causes the oscillating frequency to become gradually smaller

29.

29. The graph below shows the variation of displacement x against time t produced by the oscillation of a particle at speed 5.0 kms-1 . The wavelength is

a)

10 mm

b)

15 mm

c)

20 mm

d)

100 mm

30.

30. A concave mirror produces a virtual image of distance 50 cm and the image distance is twice that of the object. Find the focal length of the concave mirror.

a)

20 cm

b)

30 cm

c)

40 cm

d)

50 cm

31.

31. All of the following are true of protein denaturation except that it

a)

is a shape change

b)

is always irreversible

c)

may be caused by a pH change

d)

could result from a temperature change

32.

32. Glucose is a

a)

protein

b)

disaccharide

c)

nucleic acid

d)

monosaccharide

33.

33. Double helix describes the structure of a molecule of

a)

protein

b)

disaccharide

c)

starch

d)

DNA

34.

34. Animals store glucose in the form of

a)

amylase

b)

glycogen

c)

glycerol

d)

guanine

35.

35. Enymes are highly specific for a given substrate which is due to the shape of their

a)

Active site

b)

Allosteric site

c)

Non-competitive site

d)

None of the above

36.

36. Which of the following correctly matches an organelle with its function?

a)

mitochondrion . . . photosynthesis

b)

nucleus . . . cellular respiration

c)

ribosome . . . manufacture of proteins

d)

lysosome . . . movement

37.

37. Which of the following is not one of the four major types of tissues?

a)

epithelial

b)

connective

c)

nervous

d)

skeletal muscle

38.

38. Water vapour exits and CO2 enters a leaf through the

a)

stomata

b)

grana

c)

porphyrin rings

d)

photons

39.

39. Select the correct statement about bone.

a)

Bone stores, but does not release, inorganic salts.

b)

Bone cells (osteocytes) are dead in mature bone.

c)

Bone is a very metabolically active tissue.

d)

Elderly people cannot rebuild bone.

40.

40. Which muscle tissue is multinucleate, voluntary, and bears striations?

a)

Skeletal muscle

b)

Smooth muscle

c)

Multiunit smooth muscle

d)

Cardiac muscle

41.

41. Which of the following statement is correct regarding one mole of aluminium?

a)

27.0 g of aluminium.

b)

Amount of aluminium which contains exactly 6.02 x 1023 atoms.

c)

Amount of aluminium which 22.4 dm3 at s.t.p.

d)

Amount of aluminium that contains the same number of atoms as the number of atoms in exactly 12 g of 12C.

42.

42. The volume (in cm3) of 0.20 mol dm-3sulphur acid required to react with 20.0 cm3 of 0.20 mol dm-3 barium chloride is

a)

10

b)

20

c)

30

d)

40

43.

43. The number of atoms in 500 cm3 of oxygen under room conditions is

a)

2.50 x 1022

b)

2.68 x 1022

c)

6.0 x 1022

d)

6.0 x 1026

44.

44. Who is the first person to investigate the relationship between the volume of a gas its temperature?

a)

Amadeo Avagadro

b)

Arrhenius

c)

Robert Boyle

d)

Jacques Charles

45.

45. When iron is alloyed with manganese it becomes much stronger. Which of the following statements best explain this phenomenon?

a)

Manganese is more reactive than iron.

b)

Manganese has more valence electrons that can take part in the formation of metallic bond than iron.

c)

Manganese atom and iron atom are of almost the same size.

d)

Both iron and manganese are transition elements.

46.

46. What type of solid would have very high melting point, is hard but is a poor conductor of electricity in the molten state?

a)

Giant metallic

b)

Giant ionic

c)

Simple molecular

d)

Giant covalent

47.

47. Which of the following is not a unit for the rate of reaction?

a)

mold m-3 s-1

b)

mol min-1

c)

mol dm-3

d)

g s-1

48.

48. Which of the following does not affect the rate of a reversible reaction?

a)

Concentration

b)

Temperature

c)

Equilibrium constant

d)

Catalyst

49.

49. The rate of a reaction increases with temperature because

a)

the heat supplied is used to produce more product

b)

the activation energy decreases

c)

the concentration of the substances increases

d)

more particles have energy greater than the activation energy

50.

50. Which of the following is true with regards to a catalyst for the above reaction?

a)

Catalyst will decrease the enthalpy change of the reaction

b)

Catalyst will alter the composition of the equilibrium mixture.

c)

Catalyst increase the rate of effective collision

d)

Catalyst does not take part in the reaction.

51.

51. Your result for this test turned out to be below the passing mark. Give reasons on why you should be in science classes and what are the precaution steps should you take to excel in science subjects. (minimum 100 words)

(please write your answers in English)

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