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

- C) function

- D) function

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

- 2. Function

- 3. Function

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)

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

- A) ....... B) ....... C)

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)

- B)

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.

( *MathTub Index* )