Achievement Test Standardized Achievement Problem Solving 4 — Questions and Answers
Question 1: A map has a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 140 miles
Correct answer: 175 miles
3.5 × 50 = 175 miles.
Question 2: What is 15% of 80?
- 10
- 15
- 12 (Correct answer)
- 8
Correct answer: 12
15% × 80 = 0.15 × 80 = 12.
Question 3: 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°
Triangle angles sum to 180°; 180 − 45 − 75 = 60°.
Question 4: Jake scored 88, 94, 76, and 82 on four tests. What is his average score?
- 82
- 85 (Correct answer)
- 84
- 86
Correct answer: 85
(88 + 94 + 76 + 82) ÷ 4 = 340 ÷ 4 = 85.
Question 5: Which expression is equivalent to 4(x + 3)?
- 4x + 3
- 4x + 7
- 4x + 12 (Correct answer)
- x + 12
Correct answer: 4x + 12
Distribute: 4 × x + 4 × 3 = 4x + 12.
Question 6: A container holds 2.5 liters of juice. If 8 equal cups are filled from it, how much juice is in each cup?
- 0.25 L
- 0.375 L
- 0.3125 L (Correct answer)
- 0.4 L
Correct answer: 0.3125 L
2.5 ÷ 8 = 0.3125 liters per cup.
Question 7: If you roll a standard 6-sided die, what is the probability of rolling an even number?
- 1/6
- 2/3
- 1/3
- 1/2 (Correct answer)
Correct answer: 1/2
Even numbers on a die are 2, 4, 6 — that's 3 out of 6, or 1/2.
A map has a scale of 1 inch = 50 miles.
Two cities are 3.5 inches apart on the map.
What is the actual distance?