FREE DCAS Mathematics Questions and Answers
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.
What is the sum of the interior angles of a triangle?
Explanation:
The sum of interior angles in any triangle is always 180 degrees.
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.
Solve for x in the equation: 2x + 8 = 20.
Explanation:
Subtract 8 from 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 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.
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.
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 − 5 = 13.
Explanation:
Add 5 to both sides to isolate 2x, then divide both sides by 2.
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.