Free Printable 774 COMPETITION

1.

A car accelerates uniformly from rest to a velocity of 30 m/s in 10 s. Calculate the distance covered.

a)

100 m

b)

150 m

c)

200 m

d)

300 m

2.

The half-life of a radioactive isotope is 10 min. How much of a 40 g sample remains after 30 min?

a)

5 g

b)

10 g

c)

20 g

d)

2.5 g

3.

A wave of frequency 500 Hz has a wavelength of 0.68 m. What is its velocity?

a)

340 m/s

b)

300 m/s

c)

400 m/s

d)

250 m/s

4.

Which law explains why a gun recoils when fired?

a)

Newton’s First Law

b)

Newton’s Second Law

c)

Newton’s Third Law

d)

Law of Conservation of Energy

5.

The work function of a metal is 2.5 eV. Calculate the threshold frequency (h = 6.63 × 10^{-34} Js, 1 eV = 1.6 × 10^{-19} J).

a)

$3.8 \times 10^{14} Hz$

b)

$6.0 \times 10^{14} Hz$

c)

$2.5 \times 10^{14} Hz$

d)

4.0 × $10^{14}$ Hz

6.

If two resistors of 4 Ω and 6 Ω are connected in parallel, their equivalent resistance is:

a)

2.4 Ω

b)

5 Ω

c)

10 Ω

d)

3.2 Ω

7.

The moment of inertia of a solid sphere of mass M and radius R about its diameter is:

a)

$(2/5)MR^2$

b)

$(1/2)MR^2$

c)

$(3/5)MR^2$

d)

$(2/3)MR^2$

8.

The Doppler effect is due to:

a)

Change in wavelength due to source motion

b)

Variation of wave amplitude

c)

Resonance

d)

Diffraction

9.

A lens produces a magnification of +2. The image formed is:

a)

Real and inverted

b)

Virtual and upright

c)

Real and upright

d)

Virtual and inverted

10.

In a transformer, energy losses are minimized by:

a)

Laminating the core

b)

Using copper wire

c)

Cooling the coils

d)

Increasing number of turns

11.

The enthalpy change for the combustion of methane is −890 kJ mol^-1. This means:

a)

Heat is absorbed

b)

Reaction is exothermic

c)

Reaction is endothermic

d)

Energy is conserved only

12.

Which of the following molecules exhibits hydrogen bonding?

a)

CH4

b)

NH3

c)

CO2

d)

HCl

13.

The rate of a chemical reaction generally increases with temperature because:

a)

Activation energy decreases

b)

More collisions occur per second

c)

Reactant concentration increases

d)

Enthalpy decreases

14.

The IUPAC name of CH3–CH=CH–CH3 is:

a)

Butane

b)

1-Butene

c)

2-Butene

d)

Butanol

15.

A solution has [H+] = $1 \times 10^{-9} M$ . Its pH is:

a)

9

b)

5

c)

7

d)

3

16.

The oxidation state of Mn in KMnO4 is:

a)

+2

b)

+5

c)

+7

d)

+4

17.

Which of these gases does not support combustion?

a)

Oxygen

b)

Nitrogen

c)

Chlorine

d)

Ozone

18.

The electronic configuration of calcium (Z = 20) is:

a)

1s^2 2s^2 2p^6 3s^2 3p^6 4s^2

b)

1s^2 2s^2 2p^6 3s^2 3p^4 4s^2

c)

1s^2 2s^2 2p^6 3s^2 2p^6 4p^2

d)

1s^2 2s^2 2p^6 3s^2 3p^6 4d^2

19.

Which law states that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules?

a)

Boyle’s Law

b)

Avogadro’s Law

c)

Dalton’s Law

d)

Charles’ Law

20.

A catalyst works by:

a)

Increasing activation energy

b)

Lowering activation energy

c)

Increasing entropy

d)

Changing equilibrium position

21.

In mammals, urea is formed in the:

a)

Liver

b)

Kidney

c)

Pancreas

d)

Lungs

22.

The semi-permeable membrane allows:

a)

Solutes only

b)

Solvents only

c)

Both

d)

None

23.

Which organelle is responsible for protein synthesis?

a)

Ribosome

b)

Nucleus

c)

Lysosome

d)

Golgi body

24.

The process by which green plants lose water vapour is:

a)

Transpiration

b)

Photosynthesis

c)

Respiration

d)

Perspiration

25.

Blood clotting requires the presence of:

a)

Calcium ions

b)

Sodium ions

c)

Potassium ions

d)

Magnesium ions

26.

In humans, the exchange of gases occurs in the:

a)

Bronchi

b)

Alveoli

c)

Trachea

d)

Nasal cavity

27.

The genetic material in a virus may be:

a)

Only RNA

b)

DNA or RNA

c)

DNA only

d)

Protein

28.

The organ responsible for detoxification is:

a)

Liver

b)

Kidney

c)

Lungs

d)

Skin

29.

Which hormone regulates blood sugar?

a)

Insulin

b)

Adrenaline

c)

Thyroxine

d)

Estrogen

30.

The longest bone in the human body is:

a)

Tibia

b)

Femur

c)

Humerus

d)

Radius

31.

If f(x) = $2x^2 - 3x + 1$ , find f(−3).

a)

28

b)

22

c)

10

d)

19

32.

The roots of $x^2 - 7x + 10 = 0$ are:

a)

2, 5

b)

5, 10

c)

3, 4

d)

1, 7

33.

Find dy/dx if y = $3x^3 - 4x + 7$ .

a)

$9x^2 - 4$

b)

$3x^2 - 4$

c)

$6x^2 - 4$

d)

9x − 4

34.

Simplify: $\frac{x^2 - 9}{x - 3}$ .

a)

x + 3

b)

x − 3

c)

$x^2 + 3$

d)

x − 9

35.

Solve for x: log10(x) + log10(2) = 3.

a)

50

b)

100

c)

500

d)

200

36.

The sum of the first 10 terms of an AP is 150. If a1 = 5, find the common difference.

a)

2.5

b)

3

c)

4

d)

5

37.

The mean of 2, 4, 6, 8, 10, 12 is:

a)

6

b)

7

c)

8

d)

9

38.

If sin θ = 3/5, find cos θ.

a)

4/5

b)

5/3

c)

2/5

d)

3/4

39.

The area of a circle with diameter 14 cm is:

a)

49π

b)

154

c)

77π

d)

98

40.

The probability of getting a prime number when a die is rolled once is:

a)

1/6

b)

1/3

c)

1/2

d)

2/3

41.

If tan A = 3/4, find sin A.

a)

3/5

b)

4/5

c)

5/3

d)

3/4

42.

The 10th term of 2, 5, 8, 11, ... is:

a)

27

b)

29

c)

32

d)

33

43.

The standard deviation of 2, 4, 4, 4, 5, 5, 7, 9 is approximately:

a)

2.0

b)

1.8

c)

1.7

d)

1.5

44.

Evaluate ∫(2x + 3) dx.

a)

$x^2 + 3x + c$

b)

$x^2 + c$

c)

$x^2 + 3x + c$

d)

$2x^2 + c$

45.

The slope of the line 2x − 3y + 6 = 0 is:

a)

2/3

b)

−2/3

c)

3/2

d)

−3/2

46.

Solve 3x + 2y = 12 for x when y = 2.

a)

2

b)

4

c)

6

d)

8

47.

If cos A = 12/13, find sin A.

a)

5/13

b)

13/5

c)

12/13

d)

$\sqrt{1 - \left(\frac{12}{13}\right)^2}$ = $\frac{5}{13}$

48.

The equation of a line parallel to 3x − 2y = 6 and passing through (1, −2) is:

a)

3x − 2y = 7

b)

3x − 2y = −7

c)

3x − 2y = −1

d)

3x − 2y = 1

49.

Simplify: $(2x - y)^2$ .

a)

$4x^2 - 4xy + y^2$

b)

$x^2 - 4xy + y^2$

c)

$4x^2 - 2xy + y^2$

d)

$2x^2 - y^2$

50.

Evaluate $(3/4)^{-2}$ .

a)

9/16

b)

16/9

c)

3/8

d)

8/3

774 COMPETITION

Total questions: 50

Worksheet time: 25mins

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