The City School. Comprehensive Worksheet (1st Term) November 2018 Mathematics Class 8

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1 The City School Comprehensive Worksheet (1st Term) November 2018 Mathematics Class 8 Index No: S i INSTRUCTIONS Write your index number, section, school/campus and date clearly in the space provided Read and follow the instructions of the questions given. Answer all the questions in the space provided. Check your answers before you hand it in. Calculator is 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 Max. Marks Marks Obtained Percentage Grade INVIGILATED BY MARKED BY MARKS TALLIED BY Page 1 of 12

2 SECTION A MARKS 50 Q1) Encircle the correct option: [10] a) If the base of a right angled triangle is 3cm and the perpendicular is 4cm, then the length of the hypotenuse will be I. 25 cm II. 16 cm III. 9 cm IV. 5 cm b)factors of 4aa 2 20aaaa + 25bb 2 are I. (2aa 5bb)(2aa + 5bb) II. (2aa 5bb) 2 III. (2aa + 5bb) 2 IV. 2(2aa 5bb) 2 c) If aa 2 81 = 0, then value of aa is I. ±81 II. +81 III. 9 IV. ±9 d) Evaluate 98 2 I II III IV e) If A = {2, 4, 6, 8} and B = {1, 2, 3, 4} then AUB = I. {2, 4, 6, 8} II. {2, 4} III. {1, 2, 3, 4, 6, 8} IV. { } f) Mode of 2, 0, 3, 2, 3, 4, 2, 1, 3, 2 is I. 2 II. 3 III. nnnnnnnn IV. 0 Page 2 of 12

3 g) If (xx 1)(xx + 2) = 0, then the value of xx is I. 1, 2 II. 1,2 III. 1, 2 IV. 1, 2 h) Factors of xx 2 yy 2 are I. (xx + yy)(xx + yy) II. (xx + yy)(xx yy) III. (xx + yy) 2 IV. 2(xx yy) 2 i) A is a six sided geometrical figure. I. Pentagon II. Hexagon III. Heptagon IV Decagon 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 Page 3 of 12

4 2) [10] a) Factorise completely I. 25aa 2 64bb 2 [2] II. 3xx 2 10xx 8 [3] b) Expand I. (xx 3)(2xx 2 7xx + 11) [3] II. (3aa + 7bb)(3aa 7bb) [2] Page 4 of 12

5 3) [10] a) Solve: I. xx xx+3 5 [3] II. xx xx+1 3 = 1 [3] b) Express as a single fraction. I aa 9aa [2] II. xx [2] Page 5 of 12

6 4) [10] a) Simplify the following fractions xx 2 +xx 12 I. xx 2 [3] 9 II. aa bb aa2 bb 2 bb+aa aa+bb [3] III. 5xx 3 yy 2 25xx 2 yy 2 zz 2 [2] b) Make tt the subject of the formula [2] 5tt 9 = uu Page 6 of 12

7 5) [10] a) Write the following set in roster form: Q = {x: x is a prime number between 10 and 20} [1] b) If B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16} then find out whether B C = B C or not? [2] c) Marks obtained by 30 students in a history test were as follows, Find Marks Frequency I. The mode of the distribution is [1] II. The median marks [3] III. The mean marks [3] Page 7 of 12

8 6) SECTION B MARKS 50 [10] a) Find the value of xx in the given right angled triangle: [3] xx cm 14 cm 5 cm b) Solve the following Simultaneous equations: [4] xx + yy = 9 3xx+yy = 1 (by using elimination method) 5 c) If 2 is added to the numerator and denominator it becomes 9/10 and if 3 is subtracted from the numerator and denominator it become 4/5. m the equations. [2] Page 8 of 12

9 7) [10] a) Simplify [3] I. 3xx(2xx 5) (5xx 3)(xx + 7) b) Solve [3] I. 4aa 2 + 8aa 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 xx. [2] II. Find the numbers [2] Page 9 of 12

10 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) The diagonal of a rectangle is 13 cm and its width is 5 cm, i) Find the length of the rectangle. [4] > > ii) Find the perimeter of the rectangle. [2] > Page 10 of 12

11 9 [10] a) The table below shows the marks obtained by 29 students in a Mathematics test. Marks obtained Number of students Represent the data in the form of a Histogram. [4] b) Solve the following simultaneous equations using substitution method [4] 4xx + 3yy = 3 2xx 6yy = 9 c) The Venn diagram shows a universal set ξ, set A and Set B and the elements in them. Write down the elements of A ո B. [2] A B Page 11 of 12

12 10) [10] a) Construct a triangle XYZ where XY = 8.8 cm, XZ = 9.2 cm, YZ= 10.4 cm. i) Measure and write down the size of <XYZ and <ZXY. ii) Construct the angle bisector <XYZ and <ZXY. [5] b) The figure given below is made up of a Square ABDE and an Equilateral triangle BCD. [5] E D C A Calculate: i) Reflex <ABC ii) Obtuse <EDC iii) Acute <BCD. B Page 12 of 12

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