Page 1 of 1 AGA KHAN UNIVERSITY EXAMINATION BOARD SECONDARY SCHOOL CERTIFICATE CLASS IX EXAMINATION APRIL/ MAY 017 Mathematics Paper I INSTRUCTIONS 1. Read each question carefully. Time: 40 minutes Marks: 0. Answer the questions on the separate answer sheet provided. DO NOT write your answers on the question paper.. There are 100 answer numbers on the answer sheet. Use answer numbers 1 to 0 only. 4. In each question there are four choices A, B, C, D. Choose ONE. On the answer grid black out the circle for your choice with a pencil as shown below. Candidate s Signature 5. If you want to change your answer, ERASE the first answer completely with a rubber, before blacking out a new circle. 6. DO NOT write anything in the answer grid. The computer only records what is in the circles. 7. You may use a simple calculator if you wish.
Page of 1 1. The real part of ( i 1) A. 1 1 D. i is. If Z = 10 + i, then the value of Z Z will be. A. 99 101 99 0i D. 101 + 0i 8 1 is equal to A. 0 1 D. a 4. If 5 5 = 5, then the value of a is A. 1 1 D. 5. If A = {1,,, 4} and B = {10, 0}, then the number of elements in the Cartesian product A B is A. 18 16 8 D. 6 6. For any three sets X, Y and Z, the associative property with respect to union is A. X ( Y Z ) = ( X Y ) Z X ( Y Z ) = ( X Y ) Z X ( Y Z ) = ( X Y ) Z D. X ( Y Z ) = ( X Y ) ( X Z )
Page of 1 7. Which of the following can be an ordered pair of the relation ( x y) I. (8, ) II. (1, ) III. (, 7) {, y x } R = =? A. I only III only I and II D. II and III 8. If K = L = {, } and K M = L, then which of following options is TRUE for the set M? I. {, } II. {1,, 5} III. {1,,, 6} A. I only II only I and III D. II and III 9. log 5 7 can also be expressed as A. log 7 log 5 log 5 log 7 7 log 5 D. log 7 + log 5 10. 0.006 expressed in scientific notation is A. D. 4 6 10.6 10.6 10 4 6 10 11. 5 10 5 is equal to A. 0 5 49 5 7 5 D. 7 5 PLEASE TURN OVER THE PAGE
Page 4 of 1 1. If W ( u +1) t = and t =, u = 1 and v = 5, then the value of W is v A. 0 5 4 5 D. 1 x y 1. The simplified form of x + y A. D. ( x ( x ( x ( x ( x + y) xy + y ) ( x + y) + xy + y ) ( x y) xy + y ) ( x y) + xy + y ) 14. The factors of 100q 9r are A. ( 10q r) ( 100q 9r) ( 10q + r)( 10q r) D. ( 100q + 9r)( 100q 9r) 15. If ( x b) is a factor of a polynomial P ( x), then ( b) A. b b 0 D. 1 is P is equal to 16. If P ( x) = x + 1 is divided by ( x + ) A. 7 5 7 D. 9, then the remainder is
Page 5 of 1 17. Given that y is directly proportional to the square root of x and k is the constant of proportionality. Mathematically, this can be expressed as A. y = k x x = y k y = k x D. x = k y 18. It is given that to A. 5 D. 6 19. If = [ ] 1 y and k is the constant of proportionality. If x = and y =, then k is equal x 1 A and B =, then A B is 5 A. [ 17 ] 15 [ 15] D. not possible. 6 0. The adjoint of matrix is 1 5 A. 6 1 5 5 1 6 1 6 5 D. 5 6 1 PLEASE TURN OVER THE PAGE
Page 6 of 1 5 1 0 0 1. If + A =, then the value of A is 0 0 A. 1 0 0 1 5 1 1 5 D. 5 1. The average of 6 numbers is 10. If one of the numbers is 5, then what is the average of the remaining 5 numbers? A. 10 11 1 D. 1. According to the following table, how many students obtained more than 0 marks? Marks Obtained Number of Students 11 0 1 0 7 1 40 15 41 50 8 A. 8 10 15 D. 4. The following data represents the number of students absent in a class for 8 consecutive days. 6, 6, 8, 5, 6, 7, 8, 7 The median of the number of students absent is A. 5 5.5 6 D. 6.5
Page 7 of 1 5. If Δ ABC Δ DEF, then D is equal to C F A. 5 55 65 D. 75 5 o A B D E 6. In the given triangle ABC, AP, BQ and CR are the medians intersecting at point O, such that a. QB = The length of OQ must be A. a a 1 a D. a 7. For the given triangles, F is equal to A. 45 60 65 D. 75 A A y C Q 45 o 60 o z 8. In the given diagram, if KM is the right bisector of NL, then which of the following conditions is TRUE? K A. KO = OL KM = LN KL = KN N O L D. KN = LM NOT TO SCALE 9. In the given diagram, the value of x is equal to M x R D B O C z y P E x B F NOT TO SCALE NOT TO SCALE NOT TO SCALE A. 4 D. 5 G E x D H F NOT TO SCALE PLEASE TURN OVER THE PAGE
Page 8 of 1 0. For the given triangle EFG, which for the following is TRUE? A. F > G G > E E > F D. G = E + F 5cm E 6 cm G cm NOT TO SCALE F END OF PAPER
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