CHP Mathematical Reasoning — Questions and Answers
Question 1: What is the next number in the sequence: 2, 6, 12, 20, ...?
- 30 (Correct answer)
- 28
- 24
- 32
Correct answer: 30
This is a sequence where the difference between consecutive numbers increases by 2 each time. The differences are: 6-2=4, 12-6=6, 20-12=8. Following this pattern, the next difference should be 10. Therefore, 20 + 10 equals 30.
Question 2: A triangle has angles measuring 40 degrees and 85 degrees. What is the measure of the third angle?
- 55 degrees (Correct answer)
- 65 degrees
- 75 degrees
- 95 degrees
Correct answer: 55 degrees
The sum of the interior angles in any triangle always equals 180 degrees. Given two angles of 40 degrees and 85 degrees, their sum is 125 degrees. To find the third angle, subtract this sum from 180 degrees (180 - 125 = 55). Thus, the third angle measures 55 degrees.
Question 3: A rectangular garden has a length of 12 meters and a width of 5 meters. What is the area of the garden?
- 70 square meters
- 100 square meters
- 85 square meters
- 60 square meters (Correct answer)
Correct answer: 60 square meters
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 12 meters and the width is 5 meters. Therefore, the area of the garden is 12 meters * 5 meters = 60 square meters.
Question 4: A store sells pencils at $2 per pencil. If you buy 3 pencils and use a coupon for $1 off the total purchase, what is the final cost?
- $6
- $8
- $5 (Correct answer)
- $7
Correct answer: $5
First, calculate the total cost of the pencils before the coupon: 3 pencils * $2/pencil = $6. Then, apply the $1 discount from the coupon. The final cost is $6 - $1 = $5.
Question 5: What is the median of the following set of numbers: 3, 7, 8, 5, 12?
- 5
- 7 (Correct answer)
- 8
- 10
Correct answer: 7
The median is the middle value in a set of numbers when they are arranged in ascending or descending order. Arranging the given numbers (3, 7, 8, 5, 12) in ascending order yields 3, 5, 7, 8, 12. With five numbers, the middle value is the third number in the ordered list, which is 7.
CHP Mathematical Reasoning
What is the next number in the sequence: 2, 6, 12, 20, ...?