MCA III Football Review

Question Bench

1 9 17 25

2 10 18 26

3 11 19 27

4 12 20 28

5 13 21 29

6 14 22 30

7 15 23 31

8 16 24 32

Question #1Touchdown (6)

On the blueprint for Betty’s house, inch represents an actual length of 1 foot. What is the area, in square feet, of Betty’s rectangular bedroom, which is inches by 3 inches on the blueprint?

Question #2Touchdown (6)

• In the equation , q represents a positive integer. As q gets larger and larger without bound, the value of m:

F. gets closer and closer to 0G. gets closer and closer to 1H. gets closer and closer to 3J. remains constantK. gets larger and larger

Question #3Extra point (1)

• The length of a side of a square is represented as (2x – 3) inches. What would the general expression be to represent the area of the square, in square inches?

Question #4safety (2)

Which of the following is a polynomial factor of x2 – 2x – 15 ?

A. 15 – x B. 5 + xC. 3 + xD. 2 – xE. x

Question #5field goal (3)

If a > 0 and b < 0, then the sum of a and b:A. is always positiveB. is always negative

C. is always zeroD. cannot be zero, but can be any other

real numberE. can be any real number

Question #6extra point (1)

• What is the slope of the line given by the equation 3x + 5y = -15 ?

Question #7Touchdown (6)

The sales tax on a T.V. that cost $400 is $24. What was the local sales-tax rate as a percentage?

Question #8safety (2)

What is the next term after in the geometric sequence 16, - 4, 1, - , …. ?

Question #9Field goal (3)

A group of musicians includes 3 drummers, 4 trumpet players, and 5 pianists. How many different jazz trios, each consisting of a drummer, trumpet player, and pianist, can be formed from this group of musicians?

Question #10safety (2)

• What is the value of the expression x³ ─ 2x² + 4x + 4 for x = -2 ?

Question #11Touchdown (6)

What is the sum of both solutions of the equation x2 – 2x – 8 = 0?

Question #12extra point (1)

Liam’s lawnmower uses 3/5 of a gallon of gas every time he mows his lawn. How many times can Liam mow his lawn if he has only 3 gal?

Question #13field goal (3)

If (x–2)(x–3) = 3x–10, how many possible values for x exist?

Question #14field goal (3)

If x = 2 and x = 8 are solutions to the quadratic equation x2 + Bx + 16 = 0, what is the value of B?

Question #15Touchdown (6)

Which of the following represents the solution to the inequality x2 – 9x + 8 < 0?

A) -8 < x < -1B) -1/8 < x < 1C) 1 < x < 8D) x < 8 or x > 1E) x < -1 or x > 8

Question #16Touchdown (6)

Each row of seats in a theater has 5 more seats than the

previous row, and the first row has 20 seats.  If there are 30

rows in the theater, find the total number of seats.

Question #17extra point (1)

Find the distance between points (-2, 3) and (2, 0)

Question #18safety (2)

In a 30o-60o-90o right triangle, the longest leg of the triangle is 6 units long. What is the measure of the shortest leg?

Question #19extra point (1)

Which of the following is a polynomial factor of 6n2 – 7n – 10?

A) n + 2B) 2n – 5C) 2n + 1D) 3n – 10E) 6n + 5

Question #20Touchdown (6)

What is the area of a sector of a circle measuring 240o, with a radius of 6 inches?

Question #21safety (2)

If 61/37 is written as a decimal, what is the 19th digit to the right of the decimal place?

A) 1B) 4C) 6D) 8E) 9

Question #22field goal (3)

For what values of x is the expression: x2 – x – 30 undefined? x2 – 25

Question #23field goal (3)

Right circular cylinder A has a height of 4 inches and a radius of 10 inches. Right circular cylinder B has a height of 8 inches and a radius of 5 inches. What is the ratio of the volume of A to the volume of B?

A B

Question #24Touchdown (6)

Find the sum.

Question #25Extra point (1)

What 2 numbers should be placed in the blanks below so that the difference between the consecutive numbers is the same?

17, ___, ___, 41

Question #26Safety (2)

If x is a real number such that x3 = 64, then x2 + √x = ?

Question #27Touchdown (6)

In the standard (x, y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

A) (3,–7)B) (4,–8)C) (5,–1)D) (8,–3)E) (9,–3)

Question #28Safety (2)

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 1/2 inches long and has a lead of 1/8 inch, how many complete turns would get it all the way into a piece of wood?

Question #29field goal (3)

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

Question #30field goal (3)

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

Question #31safety (2)

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

Question #32extra point (1)

A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?

Answers and Point Values1. (6) 120 9. (3) 60 17. (1) 5 25. (1) 25, 33

2. (6) A 10. (2) -20 18. (2) 2√3 26. (2) 18

3. (1) 4x2 – 12x + 9 11. (6) 2 19. (1) E 27. (6) A

4. (2) C 12. (1) 5 20. (6) 24π or 75.4 28. (2) 20

5. (3) E 13. (3) 1 21. (2) C 29. (3) 18

6. (1) -3/5 14. (3) -10 22. (3) -5 and 5 30. (3) $56

7. (6) 6% 15. (6) C 23. (3) 2 to 1 31. (2) 7

8. (2) 1/16 16. (6) 2775 24. (6) 0.424 or 61/144 32. (1) 15

Rules

1. Divide students into groups of 2 or 3.

2. Pick an order for the groups.

3. Group #1 picks a question off of the “question bench.” While they are working on their question, each group should do the problem.

4. If Group #1 gets the problem right, they get the points. If they get it wrong, pick a card at random (cut out #’s from the last slide) and they get three seconds to answer (this is why each group should work on the question Group #1 selects). If the selected group gets it right they get the points. If they get it wrong, then pick another group until a group gets it right.

5. Repeat step 3 with Group #2 selecting a question off of the “question bench.”

6. Games ends when questions are gone or teacher decides to stop.

Note: Pressing the green arrows on each slide takes the user back to the “question bench.”

Cards to select groups

1 2

3 4

5 6

7 8

9 10