ICAS Mathematics 5 — Questions and Answers
Question 1: A store marks up a $50 item by 30%. What is the selling price?
- $80
- $65 (Correct answer)
- $55
- $70
Correct answer: $65
Markup = 30% × $50 = $15, so selling price = $50 + $15 = $65.
Question 2: Which of the following is a solution to 2x + 3 = 11?
- x = 7
- x = 3
- x = 4 (Correct answer)
- x = 5
Correct answer: x = 4
2(4) + 3 = 8 + 3 = 11, so x = 4 is the solution.
Question 3: A map uses a scale of 1 cm : 50 km. If two cities are 6 cm apart on the map, what is the actual distance?
- 56 km
- 300 km (Correct answer)
- 600 km
- 30 km
Correct answer: 300 km
Actual distance = 6 × 50 = 300 km.
Question 4: What is the mode of the data set: 4, 7, 4, 9, 7, 4, 3?
- 7
- 4 (Correct answer)
- 9
- 3
Correct answer: 4
The value 4 appears 3 times, more than any other value, so it is the mode.
Question 5: Two angles are supplementary. One angle measures 112°. What is the measure of the other?
- 22°
- 68° (Correct answer)
- 78°
- 58°
Correct answer: 68°
Supplementary angles sum to 180°, so the other angle = 180 − 112 = 68°.
Question 6: What is the value of the expression: 5 + 3 × 2² − 4 ÷ 2?
- 15 (Correct answer)
- 17
- 11
- 13
Correct answer: 15
Using order of operations: 3 × 4 = 12, 4 ÷ 2 = 2, then 5 + 12 − 2 = 15.
Question 7: A right-angled triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
- 14 cm
- 100 cm
- 10 cm (Correct answer)
- 12 cm
Correct answer: 10 cm
By the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10 cm.
ICAS Mathematics 5
A store marks up a $50 item by 30%.
What is the selling price?