RWS - 01 (EXERCISE 2D)
Q1) Solve the simultaneous equations by Graphical Method:
(𝑎)2𝑥 + 3𝑦 = 15 ; 5𝑥 − 3𝑦 = 6 (𝑏)5𝑥 − 4𝑦 = 20 ; 10𝑥 + 3𝑦 = 15
(𝑐)3𝑥 − 4𝑦 = 7 ; 3𝑥 − 5𝑦 = 5 (𝑑)3𝑥 + 𝑦 = 11 ; 2𝑥 + 𝑦 = 8
(𝑒)2𝑥 + 3𝑦 = 8 ; 3𝑥 + 2𝑦 = 7 (𝑓)𝑥 + 𝑦 = 7 ; 𝑥 + 2𝑦 = 11
RWS - 01 (EXERCISE 2E)
Q2) Solve the simultaneous equations by Elimination Method:
(𝑎)7𝑥 + 3𝑦 = 5 ; 5𝑥 − 9𝑦 = 37 (𝑏) 5𝑥 − 4𝑦 = 23 ; 2𝑥 + 4𝑦 = −12
(𝑐) 5𝑥 − 𝑦 − 6 = 0 ; 3𝑥 = 𝑦 − 4 (𝑑) 2𝑥 − 3𝑦 = 16 ; 2𝑥 + 𝑦 = 8
(𝑒)2𝑥 + 3𝑦 = 8 ; 3𝑥 + 2𝑦 = 7 (𝑓)𝑥 + 𝑦 = 7 ; 𝑥 + 2𝑦 = 11
Q3) Solve the simultaneous equations by Substitution Method:
(𝑎) 3𝑥 − 2𝑦 = 4 ; 2𝑥 − 3𝑦 = 18 (𝑏) 3𝑥 + 5𝑦 = 8 ; 2𝑥 − 5𝑦 = 9
(𝑐) 4𝑥 − 5𝑦 − 41 = 0 ; 5𝑥 + 4𝑦 = 0 (𝑑) 3𝑥 − 2𝑦 = 8 ; 4𝑥 + 3𝑦 = 5
(𝑒) 3𝑦 − 𝑥 = 7 ; 2𝑥 + 3𝑦 = 4 (𝑓) 3𝑦 − 𝑥 = 7 ; 2𝑥 + 3𝑦 = 4
RWS - 01 (EXERCISE 2F)
Q4) The sides of an equilateral triangle are (2𝑦 + 3)𝑐𝑚, (𝑥 + 2)𝑐𝑚
and (𝑥 + 𝑦 – 1) 𝑐𝑚. Find the perimeter of the triangle.
Q5) 5 computer ribbons and 7 diskettes cost $28 while 6 computer ribbons and 9 diskettes cost $34.50.
Find the cost of each computer ribbon and each diskette.
Q6) If 3 kg of sugar and 4 kg of flour cost $6.80 while 2 kg of sugar and 7 kg of flour cost $8.00, find the
total cost of 6 kg of sugar and 5 kg of flour.
Q7) Mobeen bought 7 erasers and 9 pencils for $16, while, Arham bought 6 erasers and 8 pencils for $12.
Find the total cost of 3 erasers and 5 pencils.
Q8) The sides of an equilateral triangle are (3𝑥 + 𝑦)𝑐𝑚, (7𝑥 + 9𝑦 – 4)𝑐𝑚 and (5𝑥 + 6𝑦)𝑐𝑚.
Calculate the values of 𝑥 and 𝑦.
Q9) Half of the sum of two numbers is equal to 42. One-third their difference is equal to 4. Find the two
numbers.
Q10) 5 Fuji apples and 8 Sunkist oranges cost $17.20 while 3 Fuji apples and 9 Sunkist oranges cost
$13.05. Find the costs of a Fuji apple and a Sunkist orange respectively.
USMAN PUBLIC SCHOOL SYSTEM
Revision worksheet Math Class VIII
Q11) Two rolls of film plus 4 batteries cost $13.60 while 5 rolls of film plus 6 batteries cost $30.80. Find
the cost of 1 roll of film and 1 battery.
Q12) Two apples and three oranges cost $2.70 while five apples and four oranges cost$5.35. Find the cost
of an apple and an orange.
Q13) The sum of two numbers is 36 and their difference is 9. Find the two numbers.
Q14) One third of the sum of two angles is 60o and one quarter of their difference is 28o. Find the two
angles.
RWS - 02 (EXERCISE 6A)
Q1) Simplify the following expressions
RWS - 02 (EXERCISE 6B)
Q2) Simplify each of the following:
Q3) Express each of the following as a fraction in its simplest form:
(a)
(c)
(e)
(g)
(b)
(d)
(f)
(h)
(a) (b)
(c) (d)
USMAN PUBLIC SCHOOL SYSTEM
Revision worksheet Math Class VIII
Q4) Express the following as fractions with a single denominator:
RWS - 02 (EXERCISE 6C)
Q4)
Q5)
Q6)
Q7)
Q8)
Q9)
Q10)
USMAN PUBLIC SCHOOL SYSTEM
Revision worksheet Math Class VIII
RWS - 03 (EXERCISE 12B)
Q1) (a) Find (a) the volume,
(b) The curved surface area of the cone in the diagram.
Q2) A solid cone of base radius 4 𝑐𝑚 has a total surface area of 39𝜋 𝑐𝑚2. Find the slant height of the
cone.
Q3) A solid cone of base radius 4 𝑐𝑚 and height 10 𝑐𝑚 is made of steel of density of 8.2 𝑔/𝑐𝑚3. Find
the mass of the solid in kg.
RWS - 03 (EXERCISE 12C)
(This exercise is not included in exam syllabus)
Q4) Find the volume of each of the following, to the nearest whole number.
(a) A sphere of radius 8 cm.
(b) A sphere of diameter 6 m.
(c) A hemisphere of diameter 10 cm.
(d) A hemisphere of radius 7 m.
Q5) Find the surface area of each of the following, to the nearest whole number.
(a) A sphere of radius 4 cm.
(b) A solid hemisphere of radius 5 m.
(c) A sphere of diameter 18 mm.
(d) A solid hemisphere of diameter 28 mm.
Q6) Find the radius of a sphere whose volume is 426 cm³.
USMAN PUBLIC SCHOOL SYSTEM
Revision worksheet Math Class VIII
RWS - 03 (EXERCISE 12C) (This exercise is not included in exam syllabus)
Q7) A solid metal sphere of radius 12 𝑐𝑚 is melted down and recast in the form of a solid circular
cylinder of length 46 𝑐𝑚. Find the radius of the cylinder, giving your answer correct to 1 decimal
place.
Q8) A solid sphere of diameter 6 𝑐𝑚 is made of metal that has a density of 7.6 𝑔 𝑝𝑒𝑟 𝑐𝑚3. Find the mass
of the solid in kg.
Q9) The diagram shows a composite solid consisting of a cone and a hemisphere. The cone has a height
of 10 𝑐𝑚 and a base diameter of 12 𝑐𝑚. Find the volume of the whole solid.
RWS - 03 (CHAPTER: ISLAMIC FINANCING)
Q.1. Mr. Ali gives Mr. Raza Rs 5, 00000 for commercial business and makes an agreement that Mr. Ali
will get 3
5 of actual profit while Mr. Raza will get
2
5 of it. At the end of the year they got the profit of
Rs. 75000. Calculate the share of each in profit.
Q.2. Hashim, Taha and Saad are the Mushariks and invested certain amount in a joint venture and decided
to distribute the profit earned according to the following percentage. Hashim will get 35 %, Taha will
get 40 %, and Saad will get 25 %. At the end of the year, the profit earned is Rs 150000. What will
be the share of each partner?
Q.3. Mr. X invested Rs.35, 00,000 in the business of food and Rs 65, 00,000/- in the business of medicine
and decided the ratio of profit to be 25:75. At the end of the year, the food business suffered a loss of
Rs 15, 00,000 but in the medicine business profit was 40, 00,000. Find the share of the profit of Mr.
Hashim and the Mudarib.
USMAN PUBLIC SCHOOL SYSTEM
Revision worksheet Math Class VIII
