# FREE DCAS Mathematics Questions and Answers

#### What is the perimeter of a rectangle with a length of 10 cm and a width of 6 cm?

Explanation:

Perimeter = 2 (length + width).

Substitute the given values:

Perimeter = 2(10 cm + 6 cm)

Perimeter = 2(16 cm)

Perimeter = 32 cm

So, the perimeter of the rectangle is 32.

#### Solve for x in the equation: 3 (x−2) = 15.

Explanation:

Distribute the 3, then isolate x by adding 6 to both sides.

So, the solution to the equation 3 (x−2) = 15 is x = 7.

#### Solve for x in the equation: 2x − 5 = 13.

Explanation:

Add 5 to both sides to isolate 2x, then divide both sides by 2.

#### What is the value of 5 × 7 − 3?

Explanation:

First, multiply 5 and 7 to get 35. Then, subtract 3 to get 34.

#### What is the next term in the sequence: 2, 5, 8, 11, ...?

Explanation:

The sequence increases by 3 each time, so the next term is 11 + 3 = 14.

#### What is the next term in the sequence: 2, 5, 9, 14, ...?

Explanation:

The sequence increases by consecutive odd numbers (3, 4, 5), so the next difference is 6, making the next term 14 + 6 = 20.

#### What is the sum of the interior angles of a triangle?

Explanation:

The sum of interior angles in any triangle is always 180 degrees.

#### What is the median of the following set of numbers: 7, 12, 5, 9, 14?

Explanation:

To find the median of a set of numbers, you arrange the numbers in ascending order and then find the middle value.

The set of numbers in ascending order is: 5, 7, 9, 12, 14.

Since there are an odd number of values in the set (5 values), the median is the middle number, which is 9.

#### If a triangle has side lengths of 3 cm, 4 cm, and 5 cm, what type of triangle is it?

Explanation:

The side lengths satisfy the Pythagorean theorem, making it a right triangle.

#### Solve for x in the equation: 2x + 8 = 20.

Explanation:

Subtract 8 from both sides to isolate 2x, then divide both sides by 2.

#### If a triangle has sides of lengths 7 cm, 10 cm, and 15 cm, what type of triangle is it?

Explanation:

A scalene triangle has all sides of different lengths.