1.What is the volume of the figure above if a = 6 units and b = 9 units?

Question

1.What is the volume of the figure above if a = 6 units and b = 9 units?

A. 1,620 cubic units
B. 540 cubic units
C. 324 cubic units
D. 342 cubic units

2.Susan is building a cage for her rabbit and started by making the supports for the cage as shown below, where a = 14 inches, b = 43 inches, c = 11.2 inches, d = 34.4 inches, and e = 11.2 inches. Susan now needs to cover the supports of her cage with rabbit wire to complete the pen. How many square inches of rabbit wire will she need?

A. 4,272.8 square inches
B. 3,502.24 square inches
C. 4,658.08 square inches
D. 3,887.52 square inches

3. A triangle has one angle that measures 23 degrees, one angle that measures 47 degrees, and one angle that measures 110 degrees.

What kind of triangle is it?
A. right triangle
B. equilateral triangle
C. isosceles triangle
D. scalene triangle

4. Bryan owes his friend more than $1,698 from a loan. Bryan has already paid his friend back $204 and continues to pay him $166 each month. Which of the following inequalities could be used to solve for x, the number of months Bryan needs to make payments to his friend in order to pay back his loan?
A. $204x + $166 > $1,698
B. $204x > $1,698
C. $166x + $204 > $1,698
D. $166x > $1,698

5. The dimensions of triangle A are four times the dimensions of triangle B. The area of triangle A is 96 cm2.

What is the area of triangle B?
A. 24 cm2
B. 16 cm2
C. 40 cm2
D. 6 cm2

6. A restaurant tried out three new desserts last month with plans to add the most popular one to their regular menu. A survey was given to random customers who ordered one of the new desserts. The survey asked customers to score the dessert from 1 to 10, with 10 being the best, and the results were averaged weekly. The results are shown in the table below.

Desserts Week 1 Week 2 Week 3 Week 4
Flan 7.6 8.2 7.4 7.8
Cheesecake 8.5 7.7 7.9 8.8
Apple Pie 8.1 7.8 7.4 8.2

Based on these results, rank the desserts in order from the most popular to the least popular.
A. cheesecake, apple pie, flan
B. apple pie, flan, cheesecake
C. cheesecake, flan, apple pie
D. apple pie, cheesecake, flan

7. At Random Stationary, the sales records of 24 employees were examined. Twelve of the employees worked the morning shifts and 12 of them worked the afternoon shifts. The following statistical information was calculated from the number of sales of each employee chosen.

Morning Shift Workers Afternoon Shift
Workers

Mean 32 46
Median 36 33
Mode 20 31
Range 44 62

Based on these samples, what generalization can be made?
A. The morning shift workers sold less units than the afternoon shift workers.

B. The morning shift workers sold the same number of units as the afternoon shift workers.

C. The morning shift workers sold more units than the afternoon shift workers.

D. Not enough information is provided to draw any of these conclusions.

8.Andrew must spend less than $73 on meals during the weekend. He has already spent $28 on meals, with each meal costing $9 on average.

9x + 28 < 73

How many additional meals can Andrew buy this weekend?
A. x < 9
B. x < 45
C. x < 5
D. x < 28

9.

Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 15 cm
B. 12 cm
C. 21 cm
D. 36 cm

10. The circle above has a radius of 11 cm. What is the area of the circle?
use pi= 3.14.
A. 379.94 cm2
B. 34.54 cm2
C. 759.88 cm2
D. 69.08 cm2

11.

The circumference of the bike tire above is 83.524 inches.

What is the radius of the bike tire? (Use 3.14 for .)
A. 262.27 in
B. 41.76 in
C. 26.6 in
D. 13.3 in

12. Which of these is an example of a random sample?
A. The band manager picks a person in the first row to go backstage at a concert.

B. A random fan asks for the band to play her favorite song at the next concert.

C. Five people are chosen randomly from a crowd of people at a concert.

D. Walter asks his three friends whether or not they enjoyed the concert.

13. A triangle has one angle that measures 23 degrees, one angle that measures 119 degrees, and one angle that measures 38 degrees.

What kind of triangle is it?
A. right triangle
B. acute triangle
C. obtuse triangle
D. equilateral triangle

14. A bag of balloons contains 5 red balloons, 10 green balloons, 14 yellow balloons, and 7 orange balloons. What is the probability that a randomly selected balloon would be green or orange?
A.

B.

C.

D.

15. Two pet stores offer customers the opportunity to donate money, in dollar increments, to the local humane society at the register. The dot plots below show the amounts donated last week.

The variability at each pet store is 1.4. The difference between the mode amount donated at each pet store is approximately how many times the variability?
A. 2
B. 5
C. 4
D. 3

16. Which shape fits the description below?

A figure with exactly one pair of opposite sides that are parallel.

X.
Y.
Z.
A. X and Z
B. Z
C. X
D. Y

17. In the figure below, triangle ABC is an equilateral triangle, and quadrilateral DEFB is a square.

Note: picture not drawn to scale

What is mABD?
A. 45°
B. 50°
C. 20°
D. 30°

18. In the figure below, quadrilateral RNPQ is a parallelogram.

Note: picture not drawn to scale

If mQRN = 125°, what is mPNM?
A. 45°
B. 135°
C. 125°
D. 55°

19. Which types of triangles can be formed by taking the cross-section of a cube?
A. equilateral, isosceles, and scalene
B. equilateral and isosceles only
C. isosceles and scalene only
D. equilateral only

20.A spinner with nine equal-sized sections numbered one to nine is spun once. What is the probability that the spinner will land on a number that is not a multiple of three?
A. 1/3

B. 2/3

C. 7/9

D. 5/9

Answer 1

The mode is the number that occurs the most often.

The mode amount donated at pet store 1 is $6.
The mode amount donated at pet store 2 is $3.

Therefore, the difference between the mode amount donated at each pet store is 6 - 3 = 3. Divide this difference by the variability.

So, the difference between the mode amount donated at each pet store is approximately 2 times the variability.

The answer to 15 is 2.

Answer 2

14.

A. 19/36
B. 5/12
C. 17/36
D. 2/3

Answer 3

do you know number 15

Answer 4

Susan is building a cage for her rabbit and started by making the supports for the cage as shown below, where a = 14 inches, b = 43 inches, c = 11.2 inches, d = 34.4 inches, and e = 11.2 inches.

Note: Figure is not drawn to scale.

Susan now needs to cover the supports of her cage with rabbit wire to complete the pen. How many square inches of rabbit wire will she need?

Answer 5

A restaurant tried out three new desserts last month with plans to add the most popular one to their regular menu. A survey was given to random customers who ordered one of the new desserts. The survey asked customers to score the dessert from 1 to 10, with 10 being the best, and the results were averaged weekly. The results are shown in the table below.

Survey Results
Desserts Week 1 Week 2 Week 3 Week 4
Flan 7.6 8.2 7.4 7.8
Cheesecake 8.5 7.7 7.9 8.8
Apple Pie 8.1 7.8 7.4 8.2

Based on these results, rank the desserts in order from the most popular to the least popular.
A.
cheesecake, apple pie, flan
B.
apple pie, flan, cheesecake
C.
cheesecake, flan, apple pie
D.
apple pie, cheesecake, flan

Answer 6