# FREE CHP Mathematical Reasoning Questions and Answers

#### What is the next number in the sequence: 2, 6, 12, 20, …?

To find the pattern, observe the differences between consecutive terms:

6−2=4

12−6=6

20−12=8

The differences are increasing by 2. Therefore, the next difference should be 8+2=10. Adding 10 to the last term (20):

20+10=30

Thus, the next number in the sequence is 30.

#### A triangle has angles measuring 40 degrees and 85 degrees. What is the measure of the third angle?

The sum of the angles in a triangle is always 180 degrees. To find the third angle:

Third Angle=180−(40+85)=180−125=55 degrees

#### A rectangular garden has a length of 12 meters and a width of 5 meters. What is the area of the garden?

The area of a rectangle is calculated by multiplying the length by the width. For a garden with a length of 12 meters and a width of 5 meters:

Area = Length × Width = 12m × 5m = 60 square meters

#### 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?

Calculate the cost without the coupon:

Total Cost = 3 pencils × 2 dollars/pencil = 6 dollars

Apply the coupon:

Final Cost = 6 dollars − 1 dollar = 5 dollars

#### What is the median of the following set of numbers: 3, 7, 8, 5, 12?

To find the median, first arrange the numbers in ascending order:

3,5,7,8,12

The median is the middle number in this ordered list. Since there are 5 numbers (an odd number), the median is the 3rd number:

Median = 7