SAT Practice Test 1, Section 9: Questions 1 - 5
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.
1. Correct answer: (B)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
Event |
Time taken |
Beginning Time |
Ending Time |
Session I |
1.5 |
||
Break |
0.25 |
||
Session II |
1.5 |
||
Lunch |
1 |
||
Session III |
1.5 |
||
Break |
0.25 |
||
Session IV |
1.5 |
4:30 P.M. |
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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