Solutions 2008 Part A |

**Part A:**

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

- Which of the following statements is true?

**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, (* p*^{16} )^{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:

- 1. Function

- 2. Function

- 3. Function

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.

- What is the equation of the line?

**soln:**** D) y = 16**.

5) Two perpendicular lines *l*_{1} and *l*_{2} intersect at a point on the *y*-axis.

- The equation for

- What is the equation for

**soln: C) y = – 3x + 6** because the slope of

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 *k*² = ( 10/ 37)² -- A = ( 10/ 37)² × 420 = 30.679

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?

**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

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?

**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 |

- We need a representative sample of 180 employees.

Which of these statements is true?

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

- Yes because

- A) The sample must include 72 women. No, should be 80 women from proportion.

- B) The sample must include 12 men $80, 000 or more. No, should be 36

- D) The sample should have 20 people between 40 and 60 thousand. No, should be 40

( *MathTub Index* )