AzM2 Advanced Topics 4 — Questions and Answers
Question 1: A triangle has angles measuring 55° and 75°. What is the measure of the third angle?
- 60°
- 50° (Correct answer)
- 70°
- 130°
Correct answer: 50°
The sum of angles in a triangle is 180°; 180 − 55 − 75 = 50°.
Question 2: Which inequality correctly compares 0.45 and 0.5?
- 0.45 > 0.5
- 0.45 = 0.5
- 0.45 < 0.5 (Correct answer)
- 0.45 ≥ 0.5
Correct answer: 0.45 < 0.5
0.45 = 45/100 and 0.5 = 50/100, so 0.45 is less than 0.5.
Question 3: If a pattern rule is 'multiply by 3,' what are the next two terms after 4, 12, 36?
- 72, 144
- 108, 324 (Correct answer)
- 39, 42
- 99, 108
Correct answer: 108, 324
36 × 3 = 108 and 108 × 3 = 324, so the next two terms are 108 and 324.
Question 4: A container holds 3.75 liters of water. After pouring out 1.4 liters, how much remains?
- 2.45 liters
- 2.35 liters (Correct answer)
- 5.15 liters
- 2.65 liters
Correct answer: 2.35 liters
3.75 − 1.40 = 2.35 liters remaining in the container.
Question 5: Which of the following fractions is equivalent to 2/5?
- 4/15
- 6/10
- 4/10 (Correct answer)
- 3/5
Correct answer: 4/10
2/5 × 2/2 = 4/10, so 4/10 is equivalent to 2/5.
Question 6: A map uses a scale of 1 inch = 25 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?
- 75 miles
- 87.5 miles (Correct answer)
- 28.5 miles
- 125 miles
Correct answer: 87.5 miles
3.5 inches × 25 miles/inch = 87.5 miles of actual distance.
Question 7: Which of these represents an integer but NOT a whole number?
- 0
- −5 (Correct answer)
- 100
- ½
Correct answer: −5
Integers include negative numbers, zero, and positive numbers; whole numbers include only 0 and positive integers, so −5 is an integer but not a whole number.
AzM2 Advanced Topics 4
A triangle has angles measuring 55° and 75°.
What is the measure of the third angle?