TCAP Mathematics 2 — Questions and Answers
Question 1: A rectangle has a length of 14 cm and a width of 9 cm. What is the area of the rectangle?
- 23 cm²
- 46 cm²
- 126 cm² (Correct answer)
- 108 cm²
Correct answer: 126 cm²
Area of a rectangle = length × width = 14 × 9 = 126 cm².
Question 2: Which of the following is equivalent to 3/4?
- 0.34
- 0.75 (Correct answer)
- 0.43
- 0.70
Correct answer: 0.75
3 ÷ 4 = 0.75, so 3/4 is equivalent to 0.75.
Question 3: A store sells apples for $0.85 each. How much would 12 apples cost?
- $9.60
- $10.20 (Correct answer)
- $10.85
- $12.85
Correct answer: $10.20
12 × $0.85 = $10.20.
Question 4: What is the value of the expression 4² + 3 × 5?
- 95
- 31 (Correct answer)
- 43
- 55
Correct answer: 31
Using order of operations: 4² = 16, then 3 × 5 = 15, so 16 + 15 = 31.
Question 5: A number line shows points at -3, 0, and 5. What is the distance between -3 and 5?
- 2
- 5
- 8 (Correct answer)
- 15
Correct answer: 8
Distance = |5 - (-3)| = |5 + 3| = 8.
Question 6: Simplify: 48 ÷ 6 + 3 × 4 – 2
- 18 (Correct answer)
- 14
- 20
- 22
Correct answer: 18
48 ÷ 6 = 8, then 3 × 4 = 12, so 8 + 12 – 2 = 18.
Question 7: A triangle has sides of 5 cm, 12 cm, and 13 cm. What type of triangle is it?
- Acute triangle
- Obtuse triangle
- Right triangle (Correct answer)
- Equilateral triangle
Correct answer: Right triangle
Since 5² + 12² = 25 + 144 = 169 = 13², this satisfies the Pythagorean theorem, making it a right triangle.
A rectangle has a length of 14 cm and a width of 9 cm.
What is the area of the rectangle?