Midterm Practice Test 4

0 of 16 answered · 45 minute limit

1. Part 1 · Ratios & Proportional Relationships

   1.The table below shows the fruit and yogurt amounts for four different smoothie recipes: Smoothie A: 8 oz fruit, 6 oz yogurt Smoothie B: 12 oz fruit, 8 oz yogurt Smoothie C: 15 oz fruit, 9 oz yogurt Smoothie D: 20 oz fruit, 15 oz yogurt Which smoothie recipe has the highest ratio of ounces of fruit per ounce of yogurt?

   A.Smoothie AB.Smoothie BC.Smoothie CD.Smoothie D

2. 2.A high-performance STEM robotics kit originally priced at $160 is on sale for 25% off. The Palo Alto sales tax rate of 9% is applied to the discounted sale price. What is the total final cost of the kit including tax?

   A.$120.00B.$130.80C.$134.40D.$145.40

3. 3.A distance runner completes 3.5 miles in 28 minutes. Assuming she maintains this exact constant rate, how many minutes will it take her to complete a 10-kilometer race? (Use the conversion factor: 1 mile ≈ 1.6 kilometers).

   A.40 minutesB.48 minutesC.50 minutesD.56 minutes

4. 4.A middle school robotics club has 12 sixth graders and 16 seventh graders. Student Claim: 'The ratio of sixth graders to total students in the club is 3:4.' Which statement best identifies and explains the error in the student's reasoning?

   A.The student simplified the ratio of sixth graders to seventh graders (12:16 = 3:4) instead of sixth graders to total students (12:28 = 3:7).B.The student subtracted 12 from 16 to find the remaining ratio instead of dividing.C.The student should have multiplied 12 and 16 together before finding the ratio.D.The student added the two numbers together and divided by 2 to get 3:4.

5. Part 2 · The Number System

   5.A chef has 4 1/2 cups of organic flour. Each batch of artisanal pasta requires 3/8 cup of flour. How many complete batches of pasta can the chef prepare?

   A.8 batchesB.10 batchesC.12 batchesD.14 batches

6. 6.Which expression uses the greatest common factor (GCF) and the distributive property to accurately rewrite the sum 48 + 72?

   A.12(4 + 6)B.24(2 + 3)C.8(6 + 9)D.16(3 + 4)

7. 7.Point P is located at (-3.5, 4.2) on the coordinate plane. Point Q is formed by reflecting Point P across the x-axis. What are the coordinates of Point Q, and what is the vertical distance between Point P and Point Q?

   A.Point Q = (3.5, 4.2); Distance = 7.0 unitsB.Point Q = (-3.5, -4.2); Distance = 8.4 unitsC.Point Q = (3.5, -4.2); Distance = 9.8 unitsD.Point Q = (-3.5, -4.2); Distance = 4.2 units

8. 8.Maya purchases 3.4 pounds of organic apples at $2.25 per pound and 1.8 pounds of seedless grapes at $3.50 per pound. If she pays with a $20 bill, how much change should she receive?

   A.$5.95B.$6.05C.$6.15D.$13.95

9. Part 3 · Expressions & Equations

   9.Evaluate the numerical expression using the correct order of operations: 3³ + 4 × (2⁴ - 10) ÷ 2

   A.33B.39C.45D.63

10. 10.A roller coaster at an amusement park requires riders to be at least 48 inches tall. However, to ride safely in a standard seat without special harness adaptations, riders cannot exceed 76 inches in height. If h represents a rider's height in inches for a standard seat, which inequality correctly represents all allowable height values?

    A.h ≥ 48B.48 < h < 76C.48 ≤ h ≤ 76D.h ≤ 76

11. 11.The table below shows the total tutoring fee charged based on the number of hours worked: Hours worked (h): 2, 4, 6, 8 Total earnings in dollars (e): $35, $70, $105, $140 Which equation describes this relationship, and which variable is the dependent variable?

    A.e = 17.50h, where e is the dependent variable.B.h = 17.50e, where h is the dependent variable.C.e = 17.50h, where h is the dependent variable.D.e = 35h, where e is the dependent variable.

12. 12.A retail bookstore sells a coding workbook for $36 after applying a 1/3 markup to its original wholesale cost c. Which equation and solution accurately find the original wholesale cost c of the workbook?

    A.(3/4)c = 36; c = $48B.(4/3)c = 36; c = $27C.c + 36 = 1.33; c = $24D.(1/3)c = 36; c = $108

13. Part 4 · Geometry & Statistics

    13.A isosceles trapezoid backdrop for a school play has parallel base lengths of 12 feet and 18 feet, and a perpendicular height of 8 feet. What is the total area of the trapezoid, and how can it be decomposed into simpler polygons?

    A.120 sq ft; decomposed into a 12 ft × 8 ft central rectangle and two right triangles with a combined base sum of 6 ft and height of 8 ft.B.240 sq ft; decomposed into two triangles each with an area of 120 sq ft.C.96 sq ft; decomposed into an 8 ft × 8 ft square and a triangle with base length 6 ft.D.144 sq ft; decomposed into three congruent triangles.

14. 14.A rectangular prism crate measuring 2 feet long, 1 1/3 feet wide, and 1 foot high is filled completely with small unit cubes, each having an edge length of 1/3 foot. How many total small unit cubes fit inside the crate?

    A.24 cubesB.36 cubesC.72 cubesD.216 cubes

15. 15.The test scores for 11 students in an advanced math module are listed below in order: 62, 68, 70, 75, 80, 85, 88, 90, 92, 95, 100 What is the Interquartile Range (IQR) of this dataset?

    A.18B.22C.25D.38

16. 16.The number of goals scored by a middle school soccer team in 5 consecutive games are: 1, 2, 3, 4, 10. What is the Mean Absolute Deviation (MAD) of the number of goals scored, and what does it represent?

    A.MAD = 2.4; on average, the number of goals scored in a game deviates by 2.4 goals from the mean of 4 goals.B.MAD = 4.0; the average score per game across all five games played is 4 goals.C.MAD = 3.0; the median goal count spreads out by 3 goals around the center.D.MAD = 12.0; the total cumulative absolute distance of all scores combined is 12 goals.