SAT Practice Test 6, Section 9: Questions 11 - 15

 

 

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.

 

 

11. Correct answer: (C)

Given:
The table

To find:
Car engine oil with a rating of 5W is how many times as fast as car engine oil with rating of 20W

Solution:
From the table;

5W = 2 × 10W
10W = 2 × 15W
15W = 2 × 20W

This means that
5W = 2 × 10W
= 2 × 2 × 15W
= 2 × 2 × 2 × 20W
= 8 × 20W

Answer: (C) 8

 

 

12. Correct answer: (E)

Given:
The figure
Points P, A and B are equally spaced on line l
Points P, Q and R are equally spaced on line m

PB = 4
PR = 6
AQ = 4

To find:
Perimeter of QABR

Solution:
Topic(s): RAR rule

Triangles PAQ and PBR are similar triangles (RAR)

The ratio of the sides is the same.

The perimeter of the quadrilateral QABR = 4 + 2 + 3 + 8 = 17

Answer: (E) 17

 

 

13. Correct answer: (D)

Given:
g(n) = n2 + n
h(n) = n2n

To find:
g(5) - h(4)

Solution:
g(5) = 52 + 5 = 30
h(4) = 42 − 4 = 12
g(5) − h(4) = 30 −12 = 18

Answer; (D) 18

 

14. Correct answer: (A)

Given:
g(n) = n2 + n
h(n) = n2n

To find:
h(m + 1)

Solution:
h(m + 1)
= (m + 1)2 − (m + 1)
= m2 + 2m + 1m − 1
= m2 + m
= g(m)

Answer: (A) g(m)

 

15. Correct answer: (B)

Given:
The selling price of a sweater = $28
The selling price is 40% more than the cost price
Employees can purchase the sweater at 30% off the cost price

To find:
The amount the employees pay for the sweater

Solution:
Topic(s): Percent

Let c be the cost price of the sweater.
c + 40% × c = 28
c + 0.4c = 28
1.4c = 28
c = 20

Purchase price = 20 − 30% × 20
= 20 − 0.3 × 20
= 20 − 6
= 14

Answer: (B) $14.00

 

16. Correct answer: (C)

Given:
A rectangle ABCD
Point E is the midpoint of
Area of ABED is

To find:
Area of ABCD

Solution:
Topic(s): Area of trapezium

Let AB = l and BE = w

Area of trapezium ABED =

Area of rectangle ABCD =

Correct answer: (C)

 

 

 

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