CALCULATION module

CALCULATION ( FORM 1 – 3 )

Q1 Convert the following values into the prefixed form(a) 5 300 m into km(b) 450 g into km(c) 32 000 000 B (bytes) into MB (mega bytes)(d) 0.0035 s into ms (millisecond)(e) 0.000087 g into µg (microgram)

(Answers: 5.3km, 0.45kg, 32MB, 3.5ms, 87µg)

Q2 Convert the following into the standard form.(a) 1 500 cm(b) 56.7 s(c) 7 800 µg(d) 0.42 km(Answers: 1.5x103cm, 7.8x103µg, 5.67x10-2s, 4.2x10-1 km)

Q3 A piece of glass has a mass of 10 g and a volume of 4 cm3. Find its density.(Ans: 2.5 g/cm3)

Q4 Calculate the density of a metal block of mass 220 g. whose length, breadth and height are 5 cm each.(Ans: 1.76 g/cm3)

Q5 Calculate the densities of water, kerosene and cooking oil.

Water Kerosene Cooking oil

Mass of empty beaker (g)

75 73 72

Mass of beaker + liquid (g)

125 113 102

Mass of liquid (g)Volume of liquid (cm3)

50 50 50

Density of liquid (g/cm3)

(Ans: 1.0 g/cm3, 0.8 g/cm3, 0.6 g/cm3)

Q6 Calculate the densities of the solids in the table.Solid Mass

(g)Volume

(cm3)Density (g cm-3)

Wood 5.2 6.5

Copper shot

18.6 2.1

Cork 2.4 8

Lead shot 42.5 3.8

Glass stopper

11.3 4.5

(Ans: 0.8 g/cm3, 8.9 g/cm3, 0.3 g/cm3, 11.2 g/cm3, 2.5 g/cm3)

Q7 Figure shows that a force of 500N is needed to move the metal block for 2m. Calculate the amount of work done.

(Ans: 1000 J)

Q8 A horizontal force of 50N is applied to push an object a distance of 2m on a table. What is the work done?(Ans: 100 J)

Q9 A boy climbs up a 5m high ladder. If the mass of the boy is 45 kg, what is the work done to climb up the ladder?(Ans: 2250 J)

Q10 A man does 1 500 J of work to lift a box to a height of 2 m. What is the mass of the box?(Ans: 75 kg)

Q11 How much work is done when a 6N force moves an object by 80 mm?(Ans: 0.48 J)

Q12 A man uses 200 J of energy to lift a 10 kg box to a certain height. What is the height?(Ans: 2 m)

Q13 A 5 kg mass is lifted from the floor and put on a table 1 m high. What is the work done?(Ans: 50 J)

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2m

Metal block

500N

CALCULATION module

Q14 A boy carries a 10 kg school bag up a flight 18 steps, each 20 cm high. Calculate the amount of work done to carry the bag upstairs.(Ans: 360 J)

Q15 The energy used up to pull a large box along the floor for 40 m is 6 kJ. Find the tension in the rope used to pull the box with, if the rope is parallel to the floor.(Ans: 150 N)

Q16 The work done to pull up a bucket of mass 1 kg and carrying 23 kg of water is 4.08 kJ. How deep is the well?(Ans: 17 m)

Q17 How heavy is a basket that needs 966 J to carry it up stairs that are 11.5 m high?(Ans: 84 N)

Q18 Figure shows a student weighing 50kg carries a load of 10 kg. He climbs the steps in 20 seconds. How much power is produced by the student?

(Ans: 90 W)

Q19 Ai Ling who has a mass of 50 kg is carrying a load of 18 kg. She climbs up a vertical distance of 6 m in 12 seconds. Calculate the power she has used.

(Ans: 340 W)

Q20 A boy who has a mass of 45 kg walks up a staircase in 30 seconds. The staircase consists of 20 steps. The height of each stair is 18 cm. Calculate his power.

(Ans: 54 W)

Q21 The diagram below shows a boy of mass 45 kg who is carrying a 5 kg bag. He is climbing a ladder to keep the bag at the rack. Calculate the power of the boy if he climbed the ladder within 10 seconds.

(Ans: 250 W)

Q22 Ahmad who has a mass of 45 kg is sitting at Y. The see saw is in equilibrium when Rizals sits at point X. Find the value of P if the mass of Rizal is 36 kg.(Ans: 96 cm)

Q23 Diagram shows a wooden box weighing 90 N is placed on a piece of board which is supported at P. How much force is required

on X to maintain the board in a horizontal position? (Ans: 45 N)

Q24 Diagram shows a lever system which is in equilibrium. What is the value of P?

(Ans: 200 N)

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50kg

4m

10kg

CALCULATION module

Q25 Diagram shows a lever in balance. How much is force Q? (Ans: 60 N)

Q26 A boy of mass 40 kg sits at a distance 1.2 m from the supporting point of see- saw. His sister has to sit at a distance of 2 m from the supporting point in order to balance him. What is the mass of his sister?

(Ans: 24 kg)

Q27 Diagram shows a wheelbarrow with load.

How much effort is needed to lift a load in the wheelbarrow? (Ans: 200 N)

Q28 Diagram shows a worker carrying two baskets J and K. J has a mass of 20 kg and K has a mass of 50 kg. The distance between the seller and K is 0.48 m.

Calculate the distance between J and the seller so that the baskets are in balance.(Ans: 1.2 m)

Q29 Diagram shows a tool carrying a load.

Find the force needed to carry an ice cube with

the weight of 10.4 g.(Ans: 0.17 N)

Q30 The figure below shows the connection of three resistor in circuit.

The effective resistance of the three resistors is ……….(Ans: 2.5 Ω)

Q31 Two resistance are set up in parallel in a circuit as shown in the diagram below. Calculate the current if the voltage is 4 V.

(Ans: 2 A)

Q32 Figure below shows an electric circuit.

If the switch is switched on, the current that passes through the resistor is 4 A and the resistor has a resistance of 3 Ω. What is the voltage across the resistor?(Ans: 12 V)

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0.5 A

3 V

A

CALCULATION module

Q33 In an electric circuit with a 2 resistor, a battery supplies a voltage of 4V. If given V = IR, calculate the current which flows in the circuit.(Ans: 2 A)

Q34 The figure shows an electric circuit. What is the value of R? (Ans: 6 Ω)

Q35 Diagram shows a parallel circuit. What is the total resistance of the circuit? (Ans: 1.5 Ω)

Q36 Calculate the voltage in a circuit if a 2A current is flowing through a 3 Ohm resistor.(Ans: 6 Ω)

Q37 What is the resistance of resistor X in diagram if the current flowing through the circuit is 2 A?

(Ans: 2 Ω)

Q38 Diagram shows an electric circuit, I = 3A , I2 = 2A dan R1 = 10Ω . Calculate I1 , Vs dan R2 .(Ans: 1A, 10V, 5Ω)

Q39 Calculate the effective resistance if R1 = 6Ω dan

R2 = 9Ω . (Ans: 3.6Ω)

Q40 In an electric circuit with a 2 resistor, a battery supplies a voltage of 4V. If given V = IR, calculate the current which flows in the circuit.(Ans: 2A)

Q41 The figures below show a part of a complete circuit. Calculate the total resistance.

(a)

(b)

(c)

(d)

(Ans: 4Ω, 1Ω, 2Ω, 4Ω)

Q42 An electric light bulb is labelled 120 W, 240 V.What is the amount of current flowing through the bulb? (Ans: 0.5A)

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1 Ω 3 Ω

2 Ω

2 Ω

4Ω

4Ω

8 Ω

8 Ω

R

CALCULATION module

Q43 An electric appliance labelled 1000 W is supplied with a voltage of 250 V . What is the rating value of a fuse that is suitable to be used?(Ans: 5A)

Q44 What type of fuse is most suitable for use in a vacuum cleaner marked 720 W 240 V.(Ans: 5A)

Q45 Hanis uses the electric kettle everyday. The power rating for the kettle is 600 W.a) If the kettle is used for 2 hours per day,

calculate the electrical energy used in a day .(answer in kWh).

b) Calculate the total electrical energy used in a month (1 month = 30 days).

Q46 A shop uses 875 unit of electrical energy in the month of April. The rate of payment of electrical energy is as follows :

25 cent per unit for the first 100 unit 28 cents per unit for the next 200 units30 cent per unit for the rest of the units

Calculate the cost of electrical energy usage for the month.(Ans: RM 253.50)

Q47 Ahmad used an electric iron marked 240V, 1.5 kW. The cost of electrical energy is 30 sen per kWh. If Ahmad paid RM 1.35 for the energy used, how long did he use the iron ?(Ans:

Q48 The information shows an electrical tariff for a household.

What is the cost of using 420 units of electricity ?(Ans:

Q49

Q50 An electric kettle labeled 1500W, 240 V is being used for 2 hours a week. If 1 unit of electrical energy costs 20 sen, what is the cost of electricity being used for a month ?(Ans: RM2.40)

Q51 An electrical appliance is labeled as below

Which of the following fuse is suitable for this electrical appliance ?(Ans: 10A)

Q39 Table 6d shows the electrical energy usage for Hassan’s family in a day.

a) Calculate the energy used for all the appliances listed.

b) What is the total amount of electrical energy used in a day ?.

c) Calculate the total energy consumption in a month. (assuming 1 month = 30 days)

d) The information below shows the cost of electricity.

How much does Hassan’s family need to pay for each month ?

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Appliance unit Power rating(W)

Duration of use(hour)

Lamp 3 50 12Fan 3 80 10Refrigerator 1 250 24Rice cooker 1 600 0.5Air conditioner 1 2 000 5

First 100 units @ RM 0.20 per unitSecond 200 units @ RM 0.25 per unitAdditional units @ RM 0.28 per unit

First 100 units - 20 sen per unitSecond 100 units - 25 sen per unitNext additional units - 28 sen per unit

1800 W240 V

CALCULATION module

Science Score ‘A’ / MAM Page 6