SAT Practice Test 7, Section 5: Questions 11  15
The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.
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11. Correct answer: (B)
To find:
The radius of a circle with circumference π
Solution:
Topic(s): Circumference of circle
The formula for circumference of circle is C = 2πr
Answer: (B)
12. Correct answer: (D)
Answer: (D) 3
13. Correct answer: (D)
Given:
4x = 6u = 5v = 7w > 0
To find:
The true statement
Solution:
The variable with the greater coefficient would have the smaller value.
Reorder the equation with the larger coefficients first.
7w = 6u = 5v = 4x
The size of the variables will then be
w < u < v < x
Answer: (D) w < u < v < x
14. Correct answer: (B)
Given:
h(t) = 2(t^{3} − 3)
h(t) = −60
To find:
2 − 3t
Solution:
2(t^{3} − 3) = −60
2t^{3} − 6 = −60
2t^{3}= −54
t^{3} = −27
t = −3
Substitute t = −3 into 2 − 3t
2 − 3t = 2 −3(−3) = 2 + 9 = 11
Answer: (B) 11
15. Correct answer: (D)
Given:
x is divisible by 3
y is divisible by 5
To find:
Which of the following must be divisible by 15
Solution:
If x is divisible by 3, then there exists an integer a where x = 3a
If y is divisible by 5, then there exists an integer b where y = 5b
I. xy = 3a × 5b = 15ab (definitely divisible by 15)
II. 3x + 5y = 3(3a) + 5(5b) = 9a + 25b (not necessarily divisible by 15)
III. 5x + 3y = 5(3a) + 3(5b) = 15a + 15b = 15(a + b) (definitely divisible by 15)
Answer: (D) I and III only
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