ISASP Mathematics 4 — Questions and Answers
Question 1: Which inequality is represented by the sentence 'a number n is at least 12'?
- n < 12
- n > 12
- n ≤ 12
- n ≥ 12 (Correct answer)
Correct answer: n ≥ 12
'At least 12' means n can equal 12 or be greater, so n ≥ 12.
Question 2: The table below shows a linear pattern: x = 1 → y = 5, x = 2 → y = 8, x = 3 → y = 11. What is y when x = 7?
- 20
- 23 (Correct answer)
- 26
- 29
Correct answer: 23
The pattern increases by 3 each time: y = 3x + 2; when x = 7, y = 21 + 2 = 23.
Question 3: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.
Question 4: A data set has values 4, 7, 7, 9, 13. What is the mean?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
Mean = (4 + 7 + 7 + 9 + 13) ÷ 5 = 40 ÷ 5 = 8.
Question 5: Which of the following is the correct order from least to greatest? 2/3, 0.6, 5/8
- 2/3, 5/8, 0.6
- 0.6, 5/8, 2/3
- 5/8, 0.6, 2/3 (Correct answer)
- 5/8, 2/3, 0.6
Correct answer: 5/8, 0.6, 2/3
5/8 = 0.625, 0.6 = 0.600, 2/3 ≈ 0.667; order: 0.600 < 0.625 < 0.667.
Question 6: A scale drawing uses 1 inch to represent 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 75 miles
- 80 miles
- 87.5 miles (Correct answer)
- 100 miles
Correct answer: 87.5 miles
3.5 inches × 25 miles/inch = 87.5 miles.
Question 7: Which of the following best describes a relationship where as one quantity increases, the other decreases at a constant rate?
- Exponential growth
- Direct proportion
- Linear inverse relationship (Correct answer)
- Quadratic relationship
Correct answer: Linear inverse relationship
When one variable increases and another decreases at a constant rate, the relationship is a linear inverse (negative linear) relationship.
ISASP Mathematics 4
Which inequality is represented by the sentence 'a number n is at least 12'?