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)
q, x and z in a word is worth 5 points
All other letters are worth 1 point each
Sum of points assigned to the word “exquisite”
The 2 letters x and q are given 5 points each: 2 × 5 = 10
The 7 other letters are given 1 point each
Add up the points and we get 17
Answer: (B) 17
2. Correct answer: (B)
2x = 10 = 20
x – 5
It is not necessary to solve for x
Notice that x – 5 is half of 2x – 10
x – 5 = 20 ÷ 2 = 10
Answer: (B) 10
3. Correct answer: (E)
t is an odd integer.
The expression that represents an even integer
(A) t + 2 (t + 2 is odd)
(B) 2t + 1 (2t is even and so, 2t + 1 is odd)
(C) 3t – 2 (3t is odd and so, 3t – 2 odd)
(D) 3t + 2 (3t is odd and so, 3t + 2 odd)
(E) 5t +1 (5t will end with a 5 and it will be odd, so 5t +1 would be even)
Answer: (E) 5t +1
4. Correct answer: (C)
Perimeter of triangle ABC equals the perimeter of triangle DEF
Triangle ABC is equilateral
The perimeter of triangle DEF is 4 + 8 + 9 = 21
Since triangle ABC is equilateral, AB = 21 ÷ 3 = 7
Answer: (C) 7
5. Correct answer: (E)
A circle graph
The store sold 900 pairs of jeans other than J,K,L,M and N
The number of pairs of jeans sold altogether
Topic(s): Proportional word problem
The percent of jeans other than J,K,L,M and N is 20%
We can rewrite it as a proportional problem
If 20% then 900, if 100% then how many?
0.2 → 900
Answer: (E) 4500
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