SAT MATH DIAGNOSTIC TEST NO CALCULATOR 25 MINUTES Please mark answers on 20 QUESTIONS the attached answer sheet 4 If x 2y + 8 and = value of x? a) 0 b) 2 c) 4 d) 6 4y = 4, what is the If2P-5R =0 and 3R-2S= 0, what is P (Where PS 0) S a) 15 b) 2 c) If 2x+ y =7 and y= 5x, then x = 3 5 d) a) b) Which of the following is equal to 4i 1-i c) d) 1 3 If Leo was 42 years old 10 years ago, how old was he x years ago? a) 32-x b) 42 x c) 52 x d) 42X M -5 (Note: i= -1) a) 2+6i b) 8-i c)3+4 d) 5-2i y= Ifone alx- 2)(x - 6) fourth of the Refrigerators manufactured in India equation In the quadratic constant. are manufactured in Delhi and the total is number of Refrigerators produced in the equation India is 72 million, then how many Refrigerators manufactured in India parabola with a non zero the following in the above The graphof xy ane is a p. 9. Which of vertex are the values of p and (in millions) are manufactured outside Delhi? a) a) p=2:q= 4a b) p-4:q= - 8a 18 b) 20 c) 52 d 54 c)p-4:q=- 4a d) p 2:q=-4 7 If Pete has 'a dollars less than Andy has, and together they have a total of B b dollars, then which of the following represents the number of dollars that Andy has in terms of 'a and 'b? (a) 6 2 In the triangle shown above, BD is parallel to EC. (b) (c) a b (d) 2a +b M-6 If cos(B) a) 0.4 b 0.5 c) 0.6 d) 0.8 = 0.6, What is cos(C) ? 10 11 A room A has to be R painted and worker doesrd of the work and then leaves. Next, worker B does th of the remaining work and then leaves 1 and finally worker C doesth of the 5 remaining work and then leaves. T What fraction of the room still needs In square PQRS above, RU= US, and PT= TS to be painted ? a) b) QR = 7. Which of the following is the ratio of the the area of the shaded region to 13 60 total area of the square ? 2 5 7 15 d) b) 5 c d) 3 12 sin (k- x) =cos (x) In the above equation, kis a constant. Which of the following could be the value of k? a) 0 b) c) d M -7 2 T 13 Jack had 2p pens for sale at a price of m dollars each. If x is the number of pens he did not sell, which of the 15 The outer core mantle is a liquid laver following represents the total dollar inside the earth's surface that is approximately more than 3 nega meters deep and less than 5 amount he received in sales from meters deep below the earth's ega surface. Which of the lollowing following pens? a) depths x, in mega meters, below the earth's surface that is in this outer b) m(2p- c mx-2p 2p-mx d) inequalities describes all possibla mn - 2p) core mantle? 14 a) x-4|<3 b) x-4|>1 c)x-4|< 1 In the xy-plane, a line passes k+ 1), what a) -3 b) -2 c) 1 is the value d) through the origin and is perpendicular to the line 3x+ y= p, where is a constant. p If the two lines intersect at point (k, x-3|< 4 16 of k? 2 3 2 d) M -8 If + = 73 and xy= 24, what is the value of (x + y2? 17 If m< 0 and 4 + kx + 64 (2x +m)' for all values of x, then what is the value of m - k? 19 X+3 = Vx + 33 What is the value of x in the above equation? 18 If r 10 and x+ y= 5, what is the value of x - y? = 20 Let the function f be defined by Ax = X+ 1. If 2f(p) = 20, what is the value of A3p)? M-9