2008 Part A

Part A:

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

Which of the following statements is true?
A) the sum of the zeros is equal to – 2.
B) the domain of function g is [ – 3, + ].
C) function g is negative over the interval [ – , – 1].
D) function g is increasing over the interval [ – 3, 4].

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

A) ......... B) .......... C) ........ D) .

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

Of these 3 statements:

1. Function f has two zeros.
2. Function f has a minimum.
3. Function f is decreasing over the interval [ – , 7].

which ones are true?

A) 1 and 2 only ......... B) 1 and 3 only .......... C) 2 and 3 only ......... D) 1, 2 and 3.

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

What is the equation of the line?
A) x = 5 ......... B) x = 16.......... C) y = 5......... D) y = 16.

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

The equation for l1 is
What is the equation for l2 ?
A) ....... B) ....... C) y = – 3x + 6 ........ D) y = – 3x – 18.

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?

A) 31 cm² ......... B) 57 cm²......... C) 76 cm²......... D) 114 cm².

7) Triangle MNO has these characteristics:

- angle MNO = 35°, ......... - angle NMO = 45° , ......... - NO = 10 m
which of these triangles must be congruent to triangle MNO?

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

A) s = 3 cm, t = 2 cm, u = 4 cm. ......... C) s = 4.5 cm, t = 2 cm, u = 8 cm.
B) s = 8 cm, t = 4 cm, u = 18 cm........... D) s = 8 cm, t = 3 cm, u = 12 cm.

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.

Which of these statements must be true?
A) More than 50% of the competitors threw the javelin farther than Patricia did.
B) There are 65 competitors who did not throw the javelin as far as Patricia did.
C) Patricia's throw falls between the 2nd and 3rd quartiles of the distribution.
D) Patricia's throw was assigned a quintile rank of 4 in the distribution.

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
We need a representative sample of 180 employees.
Which of these statements is true?
A) The sample must include 72 women.
B) The sample must include 12 men whose annual salary is \$80, 000 or more.
C) The sample must include 44 women with annual salaries between 20 and 60 thousand.
D) The sample should have 20 people with annual salary between 40 and 60 thousand.