Free DCAS Mathematics Questions and Answers — Questions and Answers
Question 1: What is the value of 5 × 7 − 3?
- 28
- 32
- 34 (Correct answer)
- 38
Correct answer: 34
Explanation: <br> First, multiply 5 and 7 to get 35. Then, subtract 3 to get 34.
Question 2: Solve for x in the equation: 2x + 8 = 20.
- 6 (Correct answer)
- 7
- 8
- 9
Correct answer: 6
Explanation: <br> Subtract 8 from both sides to isolate 2x, then divide both sides by 2.
Question 3: What is the perimeter of a rectangle with a length of 10 cm and a width of 6 cm?
- 22 cm
- 32 cm (Correct answer)
- 36 cm
- 52 cm
Correct answer: 32 cm
Explanation: <br> Perimeter = 2 (length + width). <br><br> Substitute the given values: <br> Perimeter = 2(10 cm + 6 cm) <br> Perimeter = 2(16 cm) <br> Perimeter = 32 cm <br><br> So, the perimeter of the rectangle is 32.
Question 4: If a triangle has sides of lengths 7 cm, 10 cm, and 15 cm, what type of triangle is it?
- Scalene (Correct answer)
- Isosceles
- Equilateral
- Right
Correct answer: Scalene
Explanation: <br> A scalene triangle has all sides of different lengths.
Question 5: What is the next term in the sequence: 2, 5, 8, 11, ...?
- 12
- 14 (Correct answer)
- 15
- 17
Correct answer: 14
Explanation: <br> The sequence increases by 3 each time, so the next term is 11 + 3 = 14.
Question 6: Solve for x in the equation: 3 (x−2) = 15.
- 5
- 7 (Correct answer)
- 9
- 11
Correct answer: 7
Explanation: <br> Distribute the 3, then isolate x by adding 6 to both sides. <br> So, the solution to the equation 3 (x−2) = 15 is x = 7.
Question 7: What is the sum of the interior angles of a triangle?
- 90 degrees
- 180 degrees (Correct answer)
- 270 degrees
- 360 degrees
Correct answer: 180 degrees
Explanation: <br> The sum of interior angles in any triangle is always 180 degrees.
Question 8: What is the median of the following set of numbers: 7, 12, 5, 9, 14?
- 7
- 9 (Correct answer)
- 11
- 12
Correct answer: 9
Explanation: <br> To find the median of a set of numbers, you arrange the numbers in ascending order and then find the middle value. <br><br> The set of numbers in ascending order is: 5, 7, 9, 12, 14. <br><br> Since there are an odd number of values in the set (5 values), the median is the middle number, which is 9.
Question 9: Solve for x in the equation: 2x − 5 = 13.
- 4
- 9
- 10 (Correct answer)
- 18
Correct answer: 10
Explanation: <br> Add 5 to both sides to isolate 2x, then divide both sides by 2.
Question 10: If a triangle has side lengths of 3 cm, 4 cm, and 5 cm, what type of triangle is it?
- Scalene
- Isosceles
- Equilateral
- Right (Correct answer)
Correct answer: Right
Explanation: <br> The side lengths satisfy the Pythagorean theorem, making it a right triangle.
Question 11: What is the next term in the sequence: 2, 5, 9, 14, ...?
- 18
- 20 (Correct answer)
- 22
- 25
Correct answer: 20
Explanation: <br> The sequence increases by consecutive odd numbers (3, 4, 5), so the next difference is 6, making the next term 14 + 6 = 20.
Free DCAS Mathematics Questions and Answers
What is the value of 5 × 7 − 3?