SAT Math Multiple Choice Practice Test 24

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Question 21 questions

Time 26 minutes

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1. A science class has a ratio of girls to boys of 4 to 3. If the class has a total of 35 students, how many more girls are there than boys?

A. 20
B. 15
C. 7
D. 5
E. 1

2.

The graph above shows y = 2x. Which of the following graphs represents y = |2x|?

A.
B.
C.
D.
E.

3. The length of a certain rectangle is twice the width. If the area of the rectangle is 128, what is the length of the rectangle?

A. 4
B. 8
C. 16
D. 21
E. 42

4.

Which of the lettered points on the number line above could represent the result when the coordinate of point T is divided by the coordinate of point S ?

A. A
B. B
C. C
D. D
E. E

5. For positive integer x, 10 percent of x percent of 1,000 is equal to which of the following?

A. x
B. 10x
C. 100x
D. 1,000x
E. 10,000x

6.

In the figure above, A and B are the centers of two circles of identical circumference. is tangent to both circles and parallel to (not shown). If r is the radius of the circle with center A, what is the area of quadrilateral ABCD (not shown) in terms of r ?

A. 4r2
B. 4r
C. 2r2
D. 2r
E. r2

7. Nails are sold in 8-ounce and 20-ounce boxes. If 50 boxes of nails were sold and the total weight of the nails sold was less than 600 ounces, what is the greatest possible number of 20-ounce boxes that could have been sold?

A. 34
B. 33
C. 25
D. 17
E. 16

8. If and x > y > 0, then which of the following is equal to ?

A. x + y
B. xy
C.
D.
E.

9. In the xy-plane, which of the following is a point of intersection between the graphs of y = x + 2 and y = x2 + x - 2 ?

A. (0, -2)
B. (0, 2)
C. (1, 0)
D. (2, 4)
E. (3, 5)

10. If f(g(a)) = 6, f(x) = + 2, and g(x) = |x2 - 10|, which of the following is a possible value of a?

A.
B.
C. 2
D. 6
E. 18

11.

If PQRS is a parallelogram, then which of the following must be equal to x?

A. 180 – b
B. 180 – c
C. a + b
D. a + c
E. b + c

12. If 4y + 8 = 12y + 24, then y =

A. –2
B. –1
C. 1
D. 2
E. 4

13. If f(2) = 10 and f(4) = 44, which of the following could be f(x) ?

A. 2x + 6
B. 2x2 + 12
C. 2x3 + 2
D. 2x3 – 4x
E. 3x2x

14. A jar contains a number of jelly beans of which 58 are red, 78 are green, and the rest are blue. If the probability of choosing a blue jelly bean from this jar at random is , how many blue jelly beans are in the jar?

A. 34
B. 56
C. 78
D. 102
E. 152

15. If the nth term in a sequence is 3 × 2n, what is the 10th term in the sequence?

A. 60
B. 1,024
C. 1,536
D. 3,072
E. 6,144

16. If 3 more than x is 2 more than y, what is x in terms of y?

A. y – 5
B. y – 1
C. y + 1
D. y + 5
E. y + 6

17. ABCD is a quadrilateral such that AB = BC, AD = CD and AD = AB. If BC = 12, what is the perimeter of ABCD?

A. 44
B. 42
C. 40
D. 36
E. 33

18. If a, b, c, and d are consecutive multiples of 5, and a < b < c < d, what is the value of (ac)(db)?

A. –100
B. –25
C. 0
D. 50
E. 100

19. Which of the following is equivalent to –9 ≤ 3b + 3 ≤ 18?

A. –4 ≤ b ≤ 5
B. –4 ≤ b ≤ 6
C. –3 ≤ b ≤ 5
D. 3 ≤ b ≤ 5
E. 4 ≤ b ≤ 6

20. A store sells boxes of 6 lightbulbs for $30 each, and boxes of 12 lightbulbs for $48 each. The price per bulb is what percent less when purchased in a box of 12 than in a box of 6 ?

A. 80%
B. 75%
C. 50%
D. 25%
E. 20%

21. A cartographer is measuring the straight-line distance between five different towns. The towns are arranged in such a way that any given line connecting two of the towns will not pass through any of the other towns. How many such straight-line distances must she measure?

A. 4
B. 5
C. 7
D. 10
E. 25