The City School. PAF Chapter. Comprehensive Worksheet December MATHEMATICS Class 8. Candidate Name: Index Number: Section: Branch/Campus: Date:

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1 The City School PAF Chapter Comprehensive Worksheet December 2017 MATHEMATICS Class 8 Candidate Name: Index Number: Section: Branch/Campus: Date: Maximum Marks: 100 Time Allowed: 2 hours INSTRUCTIONS: Write your name, index number, section, branch/campus and date clearly in the space provided. Read and follow the instructions of the given questions. Answer all the questions in the space provided. Select only one answers when made to choose, otherwise no marks will be given. Check your answers before handing your paper in. Marks for each section are shown below. This paper consists of 14 printed pages including the cover page. For Examiner s use only sections Section A Section B Total Question Max. Marks Marks Obtained Percentage Grade INVIGILATED BY MARKED BY MARKS TALLIED BY The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 1 of 14

2 Q.1Encircle the correct option. SECTION A 1) 72 km/hr is same as [ /10] a. 5 m/sec b. 10 m/sec c. 15 m/sec d. 20 m/sec 2) An army tank goes 273 km using 35 gallons of fuel. The distance it will go on with 5 gallons of fuel is a km b. 39 km c. 7.8 km d km 3) If x + x = 5 then the value of x is 3 2 a. 5 b. 10 c. 6 d. 30 4) The volume of prism with base area 36 cm² and height 3 cm is a. 108 cm³ b. 216 cm³ c. 72 cm³ d. 36 cm³ 5) The price of a radio was reduced from $160 to $70. The percentage decrease in price was a. 56 b. 56 c. 56 d. 56 The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 2 of 14

3 6) expressed in ordinary form is a b c d ) If 40% of a certain number is $100, the actual amount is a. $ 140 b. $250 c. $ 160 d. $ 180 8) Simplified form of ( 2x³ ) a. 8x 7 b. 8x 12 c. 16x 12 d. 16x 7 9) How many minutes in 2.25 hours: a. 135 minutes b. 145 minutes c. 125 minutes d. 155 minutes 10) Evaluate: a. 2 b. 4 c. 6 d. 8 The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 3 of 14

4 Q.2 Fill in the blanks :- [/10] a. The ratio of circumference and diameter is. b. A has only one pair of parallel sides. c. A toy flute 35 cm long is made up of two portions in the proportion of 2:3. The length of longer portion is cm. d. A clock is slow by 350 seconds in one week. It will lose seconds in 10 days. e. Express 3000 m² in km². f. Ahmed can walk at a speed of 6km/h. How far can he walk in 30mins? g. The angles of triangle are 2x, 3x and 4x, then x = h. The formula to calculate an area of parallelogram is i. If x is a positive integer and x 5 then all positive values of x are j. The value of x for 3x + 6 = 0 is. Q.3 (a) Study the pattern given below: (1) (2) (3) Diagram No (n) No of dots (d) x y The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 4 of 14

5 (i)use the above pattern to find x and y [ /02] (b) Given that the formula which connects n and d is 4n + 2 = d, (i)find the number of dots in 35 th diagram. [ /02] (ii) Find the diagram number if the number of dots are 42. [ /02] c) The average speed of a car is 132 km/h. How many meters can the car travel in 5 min. [ /04] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 5 of 14

6 Q.4 (a) Find the principal amount of money and time period. If 5% is the Interest rate, simple interest is Rs. 80 and the amount over a period of Time is Rs [ /03] (b) Solve the simultaneous linear equation by using elimination method. [ /03] 5x + 2y = 13 x + 2y = 1 9 The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 6 of 14

7 (c) Solve the simultaneous linear equation using substitution method. [ /04] 2x-y=14 3x+ 2y= 70 The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 7 of 14

8 Q.5 (a) Evaluate (i)(0.04) 2 + (0.6) 2 [/ 02] (ii) ( 1 5 )-1 x 2 2 x ( 1 25 )0 [ / 02] (b) Given that x = and y = Find the value of the following giving your answer in standard form. [ /03] (i)5xy (ii) 2x+3y [ /03] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 8 of 14

9 SECTION B Q.6 (a) The sum of two numbers is 22 and their difference is 8. Find the twonumbers. [ /04] (b) If the marked price of an article is $450and it is sold at a price of $400. Find the percentage loss or gain. [ /03] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 9 of 14

10 (c) Calculate: C x D y E A 44 B ( I ) x [ /02] ( ii ) y [ /01] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 10 of 14

11 Q.7 ( a ) A bus took 2 hrs to travel 195 km. If it arrives at its destination at 12 52, find the time it started its journey. Also find the average speed of the car in km per hour. [/03] ( b ) Zara owns a hair dressing salon. She buys a pack of 60 bottles of shampoo from a warehouse for $240. She plans to sell the bottles of shampoo to her customers for $ 5.50 each. Calculate the percentage profit Zara makes on each bottle. [ /04] ( c ) A builder bought a large number of bags of cement. As a result he was given a discount of 7 %. The discount was $ 910. Calculate marked price of cement bags. [ /03] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 11 of 14

12 Q.8 (a) Find the volume of the given prism. [ /03] (b) Find the surface area of the given prism. [/03] (c) If diameter of a cylinder is 20cm and it is 35cm long, find its volume and surface area. [/04] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 12 of 14

13 Q.9 (a) Construct a rhombus ABCD such that AB = 6 cm and AC = 8 cm. [ /03] (b) A sum of money is divided among three brothers in the ratio 3:5:9. Calculate the smallest share if the largest share is $108. [ /03] (c) Construct a parallelogram ABCD such that A = 60. AB = 7.5, BC = 9 cm. Measure its diagonals. [ /04] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 13 of 14

14 Q.10 (a) Evaluate giving your answer in standard form [ /04] (b) Solve the given inequality, illustrating the result on a number line. 3 2 x 6 + x[ /03] (c) Solve: 8x²y³z⁴ 16x⁴y²z 6[ /03] The City School/ PAF Chapter/ Comprehensive Worksheet/ December 2017/ Mathematics / Class 8 Page 14 of 14