Midterm Practice Test 5

0 of 16 answered · 45 minute limit

1. Part 1 · Ratios & Proportional Relationships

   1.The table below shows the cost for ordering custom circuit boards for a robotics project: Quantity: 4 | 10 | 15 | 24 Cost ($): 18.00 | 45.00 | 67.50 | ? What is the cost for 24 circuit boards?

   A.$96.00B.$108.00C.$112.50D.$118.00

2. 2.A laptop at a electronics store in Cupertino has an original price of $850. The store offers a 20% holiday discount, and then a 9% sales tax is calculated on the discounted price. What is the final total price of the laptop?

   A.$720.00B.$741.20C.$758.80D.$801.20

3. 3.Maya is comparing two paint mixtures. Mixture A uses 3 cups of blue paint for every 5 cups of white paint. Mixture B uses 5 cups of blue paint for every 8 cups of white paint. Maya claims Mixture B is darker because 5 > 3. Which statement best evaluates Maya's reasoning?

   A.Maya is incorrect because Mixture A actually has a higher ratio of blue to white paint (3/5 > 5/8).B.Maya's conclusion is correct, but her reasoning is flawed because she compared the amount of blue paint without comparing the ratios relative to white paint (3/5 vs 5/8).C.Maya is incorrect because both mixtures have the exact same shade of blue paint.D.Maya should have subtracted the quantities instead of comparing the fractions.

4. 4.A high-speed transit bus travels 45 miles in 36 minutes at a constant rate. What is the bus's speed in miles per hour, and which calculation justifies it?

   A.75 mph; because 36 minutes is 0.6 hours, and 45 divided by 0.6 equals 75.B.80 mph; because 45 miles divided by 36 minutes equals 1.25 miles per minute.C.60 mph; because multiplying 45 by 36 and dividing by 60 gives 60.D.75 mph; because 45 multiplied by 0.6 equals 27 miles in one hour.

5. Part 2 · The Number System

   5.A community garden bed is 7/8 yards long. Each plant plot requires 5/16 yards of length. How many full plant plots can fit in the garden bed, and how much length is leftover?

   A.1 plot with 3/8 yard leftB.2 plots with 1/4 yard leftC.2 plots with 4/5 yard leftD.3 plots with 1/16 yard left

6. 6.A teacher asks students to express the sum 48 + 72 as a product of their Greatest Common Factor (GCF) and another sum using the distributive property. Which expression is correct?

   A.12(4 + 6)B.24(2 + 3)C.8(6 + 9)D.6(8 + 12)

7. 7.Point P is located at (-3.5, 4.25) on a coordinate plane. Point Q is the reflection of Point P across the y-axis. Point R is the reflection of Point Q across the x-axis. What are the coordinates of Point R?

   A.(-3.5, -4.25)B.(3.5, -4.25)C.(3.5, 4.25)D.(-4.25, 3.5)

8. 8.Temperatures recorded at four mountain weather stations are: Station A (-8°C), Station B (-12°C), Station C (3°C), and Station D (-2°C). Which statement is TRUE regarding these values?

   A.Station B recorded the lowest absolute temperature because -12 is the smallest number.B.Station B has the greatest magnitude of distance from 0°C because |-12| = 12.C.Station A is colder than Station B because |-8| > |-12|.D.Station D is warmer than Station C because |-2| > |3|.

9. Part 3 · Expressions & Equations

   9.What is the value of the numerical expression: 3^3 + 4 * (2^4 - 10) / 2?

   A.39B.45C.51D.33

10. 10.A student simplified the expression 4(3x + 5) - 2x and obtained 10x + 5. What error did the student make?

    A.The student subtracted 2x from 4 before multiplying.B.The student forgot to distribute the 4 to the constant term 5, which should have become 20.C.The student added 3x and 5 to get 8x before distributing.D.The student incorrectly combined 12x and -2x to get 10x.

11. 11.A service elevator has a maximum weight capacity of 1,200 pounds. A delivery worker weighing 180 pounds is loading crates that weigh 42 pounds each. Which inequality represents the maximum number of crates, b, the worker can safely take in one trip?

    A.42b + 180 <= 1200; maximum 24 cratesB.42b + 180 >= 1200; minimum 25 cratesC.180b + 42 <= 1200; maximum 6 cratesD.42b - 180 <= 1200; maximum 32 crates

12. 12.The table below shows the total electricity consumed (E, in kWh) based on the distance driven (d, in miles) by an electric car: Distance (d, miles): 20 | 50 | 80 | 110 Energy (E, kWh): 5 | 12.5 | 20 | 27.5 Which statement correctly identifies the independent and dependent variables and the matching equation?

    A.d is the dependent variable, E is the independent variable, and d = 4E.B.E is the dependent variable, d is the independent variable, and E = 0.25d.C.E is the independent variable, d is the dependent variable, and E = 4d.D.d is the dependent variable, E is the independent variable, and E = 0.25d.

13. Part 4 · Geometry & Statistics

    13.A net of a rectangular pyramid consists of a square base with side lengths of 6 cm and four identical triangular faces, each with a base of 6 cm and a height of 8 cm. What is the total surface area of the pyramid?

    A.96 sq cmB.132 sq cmC.168 sq cmD.288 sq cm

14. 14.A storage container shaped like a rectangular prism has a length of 2 1/2 feet, a width of 1 1/3 feet, and a height of 3 3/4 feet. What is the volume of the container?

    A.10 1/2 cu ftB.12 1/2 cu ftC.14 2/3 cu ftD.15 5/8 cu ft

15. 15.What is the Mean Absolute Deviation (MAD) of the dataset: 70, 75, 80, 85, 90?

    A.5B.6C.8D.10

16. 16.A box plot summarizing students' daily reading times (in minutes) shows: Minimum = 10 Lower Quartile (Q1) = 20 Median (Q2) = 35 Upper Quartile (Q3) = 50 Maximum = 75 Which statement MUST be true based on this box plot?

    A.Exactly 50% of the students read between 20 and 50 minutes.B.The mean daily reading time is 35 minutes.C.The Interquartile Range (IQR) is 65 minutes.D.More students read between 50 and 75 minutes than between 10 and 20 minutes.