SAT Practice Test 1, Section 9: Questions 1 - 5

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.

Given:
5t = 45
tk = 1

To find:
The value of k

Solution:
Topic(s): Substitution

Substitute for t.

Or you may recognize that k is a reciprocal of t.

Answer: (B)

2. Correct answer: (B)

Given:
4 turns of the crank raise a window 2 inches

To find:
Number of turns to raise the window inches

Solution:
Topic(s): Proportional word problem

Think of the problem as:

If 2 inches then 4 turns. If inches then how turns?

Answer: (B) 7

3. Correct answer: (C)

Given:

To find:

Solution:
Topic(s): Substitution

Answer: (C) 1

4. Correct answer: (C)

Given:

intersect at O

To find:
y – x

Solution:
Topic(s): Supplementary, alternate, complementary angles

Angles POT and SOT are supplementary angles.

20 + y = 180 ⇒ y = 160

Angles POT and ROS are alternate angles.

Angle ROS = angle POT = 20

Angle NOR and ROS are complementary angles.

x + 20 = 90 ⇒ x = 70

y − x = 160 − 70 = 90

Answer: (C) 90

5. Correct answer: (D)

Given:

Each session is hours long

Each break is hour long

Each lunch is 1 hour long

Session IV ends at 4:30 P.M.

To find:
The time that session I should begin

Solution:
Write down the time taken

Add the time taken from beginning of Session 1 to the end of Session IV:
1.5 + 0.25 + 1.5 + 1 + 1.5 + 0.25 +1.5 = 7.5

Count back 7.5 hours from 4:30 and you will get 9:00

Answer: (D) 9:00 A.M.

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