SAT Math Multiple Choice Practice Test 2

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Question 22 questions

Time 26 minutes

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1. A number, n, is defined as a "tweener" if both n - 1 and n + 1 are prime. Which of the following numbers is a tweener?

A. 2
B. 8
C. 30
D. 36
E. 48

2. If the square of x is 12 less than the product of x and 5, which of the following expressions could be used to solve for x?

A. x2 = 5x - 12
B. x2 = 12 - 5x
C. 2x = 12 - 5x
D. 2x = 5x - 12
E. x2 = (x + 5) - 12

3. A batch of mixed nuts was created by adding 5 pounds of peanuts, costing $5.50 per pound, to 2 pounds of cashews, costing $12.50 per pound. What would be the cost, per pound, of the resulting mixture?

A. $7.35
B. $7.50
C. $9.00
D. $10.50
E. $12.00

4.

If this graph represents f(x), then the number of solutions to the equation f(x) = 1 is

A. zero
B. one
C. two
D. three
E. It cannot be determined from the information given.

5. The solution set to the equation is

A. {2}
B. {22/3}
C. {-2}
D. {-2, 22/3}
E. {-2, 2}

6. A square is changed into a rectangle by adding 3 meters to one side and subtracting 2 meters from the other side. The new rectangle has an area of 50 square meters. Find the original length of a side of the square.

A. 5 meters
B. 6 meters
C. 7 meters
D. 8 meters
E. 9 meters

7. If an eight-slice pizza has a diameter of 12 inches, what is the area of one slice, in square inches?

A. 2.25π
B. 4.5π
C. 9π
D. 18π
E. 36π

8. Find x if 2(x + 4) = 6

A. -1
B. 0
C. 1
D. 2
E. 3

9. A certain radioactive element has a half-life of 20 years. Thus, a sample of 100 grams deposited in 1980 would have decayed to 50 grams by 2000 and to 25 grams by 2020. How much of this sample would remain in 2100?

A. 0 grams
B. 25/16 grams
C. 21/2 grams
D. 31/8 grams
E. 5 grams

10. Set S contains the numbers 20 to 40, inclusive. If a number is chosen at random from S, what is the probability that this number is even?

A. 10/20
B. 11/20
C. 10/21
D. 11/21
E. 12/21

11. The number n satisfies the following properties:

I.It has three digits.

II.Its units digit is the sum of its tens digit and its hundreds digit.

III.It is a perfect square.

Which number could be n?

A. 156
B. 400
C. 484
D. 516
E. 729

12.

In this figure, the slope of line PQ is -1/3, and M is the midpoint of the line PQ. What are the coordinates of point P?

A. (8, -1)
B. (9, -1)
C. (10, -2)
D. (11, -2)
E. (12, -2)

13. If ab = n, b + c = x, and n 0, which of the following must equal n?

A. ax + c
B. ax - c
C. ax - ac
D. ax - cx
E. ac - ax

14. The number g is divisible by 3, but not by 9. Which of the following is a possible remainder when 7g is divided by 9?

A. 0
B. 2
C. 4
D. 6
E. 8

15. If a > 0, which of the following statements must be true?

A. a2 > a
B. a > 1/a
C.
D. 2a > a
E. 1/a < 1

16.

In this diagram (not drawn to scale), , and AG = GF. The length of AB is

A. 24
B. 18
C. 16
D. 12
E. 8

17. If 2a + 3b = 17 and 2a + b = 3, then a + b =

A. 1
B. 5
C. 7
D. 7.5
E. 10

18. A bicycle has a front wheel radius of 18 inches. If the bicycle wheel travels 50 revolutions, approximately how many feet has the bicycle rolled?

A. 2,827
B. 471
C. 353
D. 236
E. 235

19. If p and q are positive integers, then is equivalent to

A. 5
B. 5pq + p
C. 5pq
D. 5pq - p
E. 5q + 1

20. In a set of five positive whole numbers, the mode is 90 and the average (arithmetic mean) is 80. Which of the following statements is false?

A. The number 90 must appear two, three, or four times in the set.
B. The number 240 cannot appear in the set.
C. The number 80 must appear exactly once in the set.
D. The five numbers must have a sum of 400.
E. The median cannot be greater than 90.

21.

Given that ABCD is a rectangle, and triangle BCF is isosceles, find the length of the line segment BE in this diagram.

A.
B.
C. 12
D.
E. 13

22. Melvin, Chris, Enoch, Dave, Carey, Mike, Dan, and Peter are choosing dorm rooms for college. Each room holds four people. They have the following requirements:

I.Mike and Melvin refuse to live together.

II.Enoch will live with Chris or Carey (or possibly both).

III.If Dave and Dan live together, Peter will live with them.

When rooms are chosen, Melvin, Carey, and Dan live together. Which of the following groups must live in the other room?

A. Chris, Dave, and Mike
B. Chris, Mike, and Peter
C. Dave, Enoch, and Peter
D. Dave, Mike, and Peter
E. Enoch, Mike, and Peter