ICAS Mathematics 2 — Questions and Answers
Question 1: A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?
- 38 cm (Correct answer)
- 84 cm
- 19 cm
- 76 cm
Correct answer: 38 cm
Perimeter = 2 × (length + width) = 2 × (12 + 7) = 2 × 19 = 38 cm.
Question 2: Which of the following fractions is closest to 1/2?
- 3/8
- 5/9 (Correct answer)
- 2/5
- 4/7
Correct answer: 5/9
5/9 ≈ 0.556, which is closest to 0.5 compared to 3/8=0.375, 2/5=0.4, and 4/7≈0.571.
Question 3: A bag contains 4 red, 3 blue, and 5 green marbles. If one marble is picked at random, what is the probability it is blue?
- 1/4
- 3/12 (Correct answer)
- 1/3
- 3/4
Correct answer: 3/12
There are 3 blue marbles out of 4+3+5=12 total, so probability = 3/12.
Question 4: What is the value of 3² + 4²?
- 25 (Correct answer)
- 49
- 14
- 7
Correct answer: 25
3² = 9 and 4² = 16, so 9 + 16 = 25.
Question 5: If a train travels 240 km in 3 hours, what is its average speed?
- 720 km/h
- 80 km/h (Correct answer)
- 60 km/h
- 90 km/h
Correct answer: 80 km/h
Speed = distance ÷ time = 240 ÷ 3 = 80 km/h.
Question 6: What is the next term in the sequence: 2, 6, 18, 54, ___?
- 108
- 162 (Correct answer)
- 72
- 216
Correct answer: 162
Each term is multiplied by 3, so 54 × 3 = 162.
Question 7: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 50°
- 70°
- 60° (Correct answer)
- 80°
Correct answer: 60°
The angles of a triangle sum to 180°, so the third angle = 180 − 45 − 75 = 60°.
ICAS Mathematics 2
A rectangle has a length of 12 cm and a width of 7 cm.
What is its perimeter?