Solutions 2008 Part A

Part A:

1) Consider function g represented in the Cartesian plane below:

soln: A) is true: the sum of the zeros is equal to – 2. Zeros are 2 and – 4.

2) If p > 1, which of the following expressions is equivalent to ?

soln: D) is correct. Since square root x = x ½ so, ( p16 )½ = p 8.

3) The rule of function f is f (x) = a (x + 7)² + k , with a > 0 and k < 0.

Of these 3 statements:

which ones are true?

soln: A) 1 and 2 only are true. The 3rd statement would be if the 7 were – 7.

4) The slope of a line in the Cartesian plane is equal to zero. Point P(5, 16) is on this line.

soln: D) y = 16.

5) Two perpendicular lines l1 and l2 intersect at a point on the y-axis.

soln: C) y = – 3x + 6 because the slope of l1 is – 6/ – 18 = 1/3. Perpendicular: slope = – 3.

6) Area of right triangle GHI is 420 cm². GI = 74 cm. In right triangle JKL, JL = 20 cm. Given that angle I = angle L (as shown), what is the area of triangle JKL to the nearest cm²?

soln: A) 31 cm² is true: k = 20/74 = 10/37 so k² = ( 10/ 37)² -- A = ( 10/ 37)² × 420 = 30.679

7) Triangle MNO has these characteristics:

soln: B) is correct. angle N = 35° = Q, and angle M = 45° = P, so O = R, NO = QR = 10 m.

8) What must be the value of s, t, and u so that the 2 prisms are equivalent?

soln: B) s = 8 cm, t = 4 cm, u = 18 cm. since s×t×u must equal 9 × 4 × 16 = 576.

9) Patricia entered a javelin throwing competition. Her throw was in the 65th percentile of the distribution of the lengths of throws for all the competitors.

soln: C) is true since Q 2 = 50% and Q 3 = 75% and 65% is between them.

10) The table shows the distribution of the employees of a factory according to different strata.

Annual Salary Women Men Total
[20,000 - 40, 000[ 42 56 98
[40,000 - 60, 000[ 35 35 70
[60,000 - 80, 000[ 49 21 70
80, 000 or more 14 63 77
Total 140 175 315

soln: C) The sample must include 44 women between 20 and 60 thousand.

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