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

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.

1. Correct answer: (A)

Given:
25 pounds of flour to make 300 rolls

To find:
The amount of flour to make 12 rolls

Solution: Topic(s): Proportional word problem

Rewrite the question as
If 300 rolls then 25 pounds, if 12 rolls then how many pounds?

300 → 25

12 →

Answer: (A) 1

2. Correct answer: (E)

Given: xy = 10

To find:

Solution:

Answer: (E) 20

3. Correct answer: (B)

Given: x + y = 30 x > 8

To find:
The value of y

Solution:
If x = 8 then 8 + y = 30 ⇒ y = 22
So, if x > 8 then y < 22

Answer: (B) y < 22

4. Correct answer: (C)

Given: P(3,2), Q(7,2) and R(7,4)

To find:
The perimeter of triangle PQR

Solution: Topic(s): Pythagoras theorem

Place the three points (approximately) and you will find that they form a right triangle with lengths of 2 and 4 for the legs.

We can use Pythagorean theorem to obtain the length of the third side.

c^{2} = 4^{2} + 2^{2} = 16 + 4 = 20

c =

Perimeter = 4 + 2 + = 6 +

Answer: (C)

5. Correct answer: (D)

Given:
8, 17, 26, 35, 44, …
Each term after the first is found by adding 9 to the term preceding it

To find:
The term that is equal to 8 + (26 – 1)9

Solution: Topic(s): Number sequence problems

Write out some terms to find the pattern

So, 8 + (26 – 1)9 is the 26^{th} term

Answer: (D) The 26^{th}

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