SAT Practice Test 2, Section 6: Questions 6 - 10

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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6. Correct answer: (B)

Given:
The eggs are either white or brown
The ratio of white eggs to brown eggs is

To find:
The value that cannot be the number of eggs

Solution:
Topic(s): Ratio

The ratio of white eggs to brown eggs is

The total number of parts is 2 + 3 = 5.

So, the total number of eggs must be divisible by 5.

The only given answer that is not divisible by 5 is 12.

Answer: (B) 12

7. Correct answer: (C)

Given:

r and t are positive integers
r > t

To find:
rt

Solution:
Topic(s): Exponents

rt = 54 × 2 = 108

Answer: (C) 108

8. Correct answer: (E)

Given:
The diagram

To find:
The value of c in terms of a and b

Solution:
Topic(s): Angles

Since AED is a straight line, x + y + z = 180 (equation 1)

The sum of angles in a triangle is also 180º.

For triangle AEB,
x + b + c = 180 ⇒ x = 180 – (b + c )

For triangle BEC,
y + a + b = 180 ⇒ y = 180 – (a + b)

For triangle DEC,
z + a + b = 180 ⇒ x = 180 – (a + b)

Substituting x, y and z into equation 1.

Answer: (E) 360 – 3b – 2a

9. Correct answer: 1404

Given:
t³ = 351

To find:
4t³

Solution:
t³ = 351
4t³ = 4 × 351 = 1404

Answer: 1404

10. Correct answer: 57.5

To find:
The point that is halfway between 53 and 62 on a number line

Solution:
The number of units from 53 to 62 is 62 – 53 = 9
Half the number of units would be 9 ÷ 2 = 4.5
The midpoint is then 53 + 4.5 = 57.5

Answer: 57.5

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