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) = n2 − n
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) = n2 − n
To find:
h(m + 1)
Solution:
h(m + 1)
= (m + 1)2 − (m + 1)
= m2 + 2m + 1 − m − 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)
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.