Mini Exam 25 — Timed Mini Exams

Questions in this quiz (10)

1. When $$k$$ is subtracted from $$10$$, and the difference is divided by $$2$$, the result is $$3$$. What is the value of $$k$$?

   • $$3$$
   • $$4$$
   • $$6$$
   • $$10$$

2. In the figure, side $$\overline{AB}$$ of $$\triangle ABC$$ contains which of the following points?

   • $$(3,5)$$
   • $$(4,6)$$
   • $$(4,10)$$
   • $$(3,4)$$

3. In parallelogram $$ABCD$$, $$AC=3$$ and $$AD=5$$. What is the area of $$ABCD$$?

   • $$12$$
   • $$15$$
   • $$18$$
   • $$20$$

4. The recipe for a pie recommends that the pie be baked for at least $$50$$ minutes, but not more than $$60$$ minutes. If $$b$$ is the number of minutes a pie, baked within the recommended time, is baked, which of the following represents all possible values of $$b$$?

   • $$|b+55|$$ < $$5$$
   • $$|b+55|\le5$$
   • $$|b-55|$$ < $$5$$
   • $$|b-55|\le5$$

5. If $$l_1$$ is parallel to $$l_2$$ in the figure, what is the value of $$y$$?

   • $$55$$
   • $$60$$
   • $$70$$
   • $$110$$

6. When $$n$$ is divided by $$5$$, the remainder is $$4$$. When $$n$$ is divided by $$4$$, the remainder is $$3$$. If $$0$$ < $$n$$ < $$100$$, what is one possible value of $$n$$?

   • $$15$$
   • $$19$$
   • $$21$$
   • $$27$$

7. If $$x^2=16$$ and $$y^2=4$$, what is the greatest possible value of $$(x-y)^2$$?

   • $$4$$
   • $$16$$
   • $$36$$
   • $$64$$

8. On the number line, $$j$$, $$k$$, $$l$$, $$m$$, and $$n$$ are coordinates of the indicated points. What is the value of $$\frac{jk}{lmn}$$?

   • $$4$$
   • $$8$$
   • $$12$$
   • $$16$$

9. In the figure, $$\overline{AB}$$ is the arc of the circle with center $$O$$. Point $$A$$ lies on the graph of $$y=x^2-b$$, where $$b$$ is a constant. If the area of shaded region $$AOB$$ is $$\pi$$, what is the value of $$b$$?

   • $$2$$
   • $$4$$
   • $$8$$
   • $$16$$

10. A researcher found that the amount of sleep that she allowed her mice to get was inversely proportional to the number of errors the mice made, on average, in a maze test. If mice that got $$2$$ hours of sleep made $$3$$ errors in the maze test, how many errors, on average, do mice with $$5$$ hours of sleep make?

    • $$1.2$$
    • $$2$$
    • $$3$$
    • $$7.5$$