The City School Comprehensive Worksheet (2 nd Term) 2017-2018 Mathematics Class 8 Index No: Branch/Campus: Maximum Marks: 100 Section: Date: Time Allowed:2 hours INSTRUCTIONS Write your index number, section, school/campus and date clearly in the space provided Read and follow the instructions of the questionsgiven. Answer all the questions in the space provided. Check your answers before you hand it in. Calculator are not allowed Marks for each section are shown below. This paper consists of 12 printed pages including the cover page. use only Computation (50) Problem Solving (50) Total Questions 1 2 3 4 5 6 7 8 9 10 Max. Marks 10 10 10 10 10 10 10 10 10 10 100 Marks Obtained Percentage Grade INVIGILATED BY MARKED BY MARKS TALLIED BY The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 1 of 12
SECTION A MARKS 50 1) Encircle the correct option: [10] a) Identify the point which does not lie on the line x = 5 I. (5, 0) II. (0, 5) III. (5, 7) IV. (5, +5) b) Factors of 4a 2 20ab + 25b 2 are I. (2a 5b)(2a + 5b) II. (2a 5b) 2 III. (2a + 5b) 2 IV. 2 2a 5b 2 c) If a 2 81 = 0, then value of a is I. ±81 II. +81 III. 9 IV. ±9 d) Evaluate 98 2 I. 10201 II. 9801 III. 10404 IV. 9604 e) The equation of the line is I. x = 2 II. y = 2 III. x = y IV. x = y f) Mode of 2, 0, 3, 2, 3, 4, 2, 1, 3, 2 is I. 2 II. 3 III. none IV. 0 The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 2 of 12
g) If x 1 x + 2 = 0, then the value of x is I. 1, 2 II. 1,2 III. 1, 2 IV. 1, 2 h) Factors of x 2 y 2 are I. x + y x + y II. x + y x y III. x + y 2 IV. 2 x y 2 i) The R.F of a map drawn to a scale of 3cm to 9km is I. 1: 3 II. 1: 300000 1 III. 30000 V. 1: 300 j) The median of the given data of numbers is 1, 3, 6, 2, 5, 7, 7, 4, 2 is I. 7 II. 2 III. 4 IV. 5 The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 3 of 12
2) a) Factorise completely I. 25a 2 64b 2 [2] [10] II. 3x 2 10x 8 [3] b) Expand I. x 3 2x 2 7x + 11 [3] II. (3a + 7b)(3a 7b) [2] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 4 of 12
3) a) Solve: I. x x+3 = 2 5 [10] [3] II. x 2 4 + x+1 3 = 1 [3] b) Express as a single fraction. I. 7 5 6a 9a [2] II. x 2 4 + 1 [2] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 5 of 12
4) a) Simplify the following fractions [10] I. x 2 +x 12 x 2 9 [3] II. a b a 2 b 2 b+a a+b [3] III. 5x 3 y 2 25x 2 y 2 z 2 [2] b) Make t the subject of the formula [2] 5t 9 = u The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 6 of 12
5) A car took 1hour and 30 minutes to travel 180km. If it arrived at its destination at 15:10. Find [10] a) The time it started its journey. [1] b) The average speed of the car, giving your answer in km/h [2] c) Marks obtained by 30 students in a history test were as follows, Find Marks 0 1 2 3 4 Frequency 2 6 8 10 4 I. The mode of the distribution is [1] II. The median marks [3] III. The mean marks [3] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 7 of 12
6) SECTION B MARKS 50 [10] a) In the diagram ABE is similar to ACD. Where AE = 3cm, [2] BE = 5cm and CD = 7cm. Find AD A 3cm B 5cm E b) A map is drawn to a scale of 1: 20000 l. Calculate the actual distance in km, represented by 5cm, on the map. [3] C 7cm D II. On the map a lake has an area of 25cm 2. Calculate in km 2, the actual area of the lake. [3] c) If ABC XYZ, then find x and y. [2] A 10cm 70 x B 50 12cm Z C 8cm X 70 10cm y Y The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 8 of 12
7) [10] a) Simplify [3] I. 3x 2x 5 5x 3 x + 7 b) Solve [3] I. 4a 2 + 8a 5 = 0 c) The sum of the squares of two consecutive positive odd numbers is 130 I. Write down a simplified quadratic equation in the form of x. [2] II. Find the numbers [2] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 9 of 12
8) [10] a) When a number is divided by 4 and 14 is added to it, the result is equal to twice of the number. Find the number [4] b) I. ABCD is a parallelogram, find a and b. [3] A >> a B D b 30 100 >> C II. WXYZ is a trapezium. Find x and y [3] W 2x >> y X Z 70 85 >> Y The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 10 of 12
9 [10] a) A circle of diameter 14cm is cut from a square of length 20cm. I. Find the area of the circle. (π = 22/7) [2] 14 20 c II. Find the area of shaded region. [3] b) ABC is a right angled triangle with AB = 7cm and BC = 10cm. A semicircle of diameter 7cm is joined to the triangle along AB. I. Find area of triangle [2] A 12 7 B 10 C II. Find the perimeter of the complete shape. (π = 22/7) [3] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 11 of 12
10) [10] a) Find the gradient of the line 3x + 4y = 5 [2] b) Complete the table below [3] 3x y = 1 x + y = 3 x -1 0 1 x -2 0 2 y y I. Draw the graph of the equations 3x y = 1 and x + y = 3 [4] II. The coordinates of the point of intersection of the two straight [1] lines is. The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 8 Page 12 of 12