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

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Math Worksheets

This is for SAT in Jan 2016 or before.

The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the The Official SAT Study Guide Second Edition.

It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.

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

The sum of angles on a straight line is 180º.

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