Timed Mini Exam 12 — Timed Mini Exams

Questions in this quiz (10)

1. Dylan's Donut Shop and Maria's Muffin Market both sell pastries in boxes. The table below lists the price (the total amount the customer pays) of each box of pastries sold at the shops. For each shop, there is a linear relationship between the price of a box of pastries and the number of pastries in that box. These are the only numbers of pastries that can be purchased at the shops.At Maria's Muffin Market, what is the average price per pastry in a box of $$25$$, to the nearest $$\$0.01$$?

   • $$0.18$$
   • $$0.22$$
   • $$0.20$$
   • $$0.25$$

2. A line contains the points P, Q, R, and S. Point Q is between points P and R. Point S is between points R and Q. Which of the following inequalities must be true about the lengths of these segments?

   • $$PR$$ < $$RS$$
   • $$QR$$ < $$PR$$
   • $$QS$$ < $$PQ$$
   • $$QS$$ < $$RS$$

3. Each of the 3 lines crosses the other 2 lines as shown. Which of the following relationships must be true? I. $$m∠1+m∠6+m∠11=180^\circ$$II. $$m∠2+m∠5+m∠12=180^\circ$$III. $$m∠3+m∠7+m∠9=180^\circ$$

   • I only
   • II only
   • I and II only
   • I, II and III

4. Which of the following numbers is the greatest in value?

   • $$0.004\times10^5$$
   • $$0.4\times10^3$$
   • $$4\times10^{-1}$$
   • $$40\times10^2$$

5. The sum of the real numbers $$x$$ and $$y$$ is $$18$$. Their difference is $$6$$. What is the value of $$xy$$?

   • $$81$$
   • $$72$$
   • $$48$$
   • $$90$$

6. The figure shows $$2$$ tangent circles. The smaller circle has diameter $$9$$ inches, and this equals the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?

   • $$255$$
   • $$120$$
   • $$156$$
   • $$191$$

7. What is the least common multiple of 24, 36, and 54?

   • $$216$$
   • $$108$$
   • $$432$$
   • $$72$$

8. For all numbers x and y, let x⊙y=3xy−5x. If a and b are positive integers, which of the following can be equal to zero?I. a⊙bII. (a−b)⊙bIII. b⊙(a−b)

   • I only
   • II only
   • I and II
   • I and III

9. Given the vertices of parallelogram $$KLMN$$ in the standard $$(x,y)$$ coordinate plane, what is the area of triangle $$LMN$$, in square units?$$K(-3,2), L(3,2), M(5,-4), N(-1,-4)$$

   • $$12$$
   • $$24$$
   • $$18$$
   • $$36$$

10. If $$(\frac{1}{125})^{2n-3}=\frac{1}{\sqrt[3]{5}},$$ then what is n?

    • $$\frac{14}{9}$$
    • $$\frac{4}{3}$$
    • $$\frac{4}{9}$$
    • $$\frac{5}{2}$$