Timed Mini Exam 4 — Timed Mini Exams

Questions in this quiz (10)

1. The table shows the prices for standard-sized apples at Sam's Market. What is the least amount of money needed to purchase exactly 18 apples if bags must be sold intact and there is no tax?

   • $$5.40$$
   • $$5.60$$
   • $$5.70$$
   • $$5.90$$

2. The length L centimeters of the rods Ace Metalworks produces must satisfy the inequality $$|L-10|\le0.002$$. What is the maximum length in centimeters such a rod may have?

   • $$9.998$$
   • $$9.990$$
   • $$10.000$$
   • $$10.002$$

3. Which of the following is a factored form of the expression: $$6x^2-7x-3?$$

   • $$(3x-1)(2x+1)$$
   • $$(3x+1)(2x-3)$$
   • $$(3x-1)(2x+3)$$
   • $$(3x+3)(2x-1)$$

4. A jar contains 8 blue marbles, 4 red marbles, and 6 white marbles. How many additional blue marbles must be added so that the probability of randomly drawing a blue marble is $$\frac{1}{2}$$?

   • $$2$$
   • $$16$$
   • $$18$$
   • $$6$$

5. Which trigonometric equation relates the side length a, the diagonal length c, and the angle x in the rectangle shown?

   • $$\tan x=\frac{b}{a}$$
   • $$\cot x=\frac{a\sqrt{2}}{b}$$
   • $$\cos x=\frac{b\sqrt{2}}{a}$$
   • $$\sin x=\frac{a}{b}$$

6. Sofia cuts a board in the shape of a regular pentagon and hammers in a nail at each vertex, as shown in the figure below. How many rubber bands will she need in order to stretch a different rubber band across every possible pair of nails?

   • $$10$$
   • $$25$$
   • $$20$$
   • $$35$$

7. There are 300 students enrolled in an art competition, and the students are divided into 4 groups, as shown in the table below.The committee has 120 prizes to award and wants the prizes to be distributed in proportion to the number of students in each group. How many prizes should be designated for Group B?

   • $$30$$
   • $$25$$
   • $$36$$
   • $$15$$

8. The slope of the line with equation $$y=mx+k$$ is less than the slope of the line with equation $$y=nx+k$$. Which of the following statements must be true about the relationship between $$m$$ and $$n$$?

   • $$m$$ < $$n$$
   • $$m=n$$
   • $$m$$ > $$n$$
   • $$m \ge n$$

9. A water tank is a right circular cylinder with diameter 20 feet and height 10 feet. To the nearest cubic foot, what is the volume of water in the tank when it is filled to a depth of 8 feet?

   • $$5027$$
   • $$7854$$
   • $$2513$$
   • $$3142$$

10. A circular fountain has a diameter of 30 feet. A decorative wedge-shaped cover is placed on top of the fountain, forming a 60 degree angle at the center. A border will go along one radius and the arc of the wedge-shaped sector. Which of the following is closest to the total length, in feet, of the border?

    • $$25$$
    • $$28$$
    • $$31$$
    • $$35$$