Stanford Achievement Test Stanford Achievement (Math) 4 — Questions and Answers
Question 1: A car depreciates in value by 20% each year. If it is worth $15,000 today, what will it be worth after one year?
- $10,000
- $11,000
- $12,000 (Correct answer)
- $13,000
Correct answer: $12,000
$15,000 × (1 − 0.20) = $15,000 × 0.80 = $12,000.
Question 2: What is the area of a triangle with a base of 10 cm and a height of 6 cm?
- 16 cm²
- 30 cm² (Correct answer)
- 60 cm²
- 120 cm²
Correct answer: 30 cm²
Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm².
Question 3: Which of the following is the correct order from least to greatest: 0.45, 1/3, 2/5?
- 0.45, 2/5, 1/3
- 1/3, 2/5, 0.45 (Correct answer)
- 2/5, 1/3, 0.45
- 1/3, 0.45, 2/5
Correct answer: 1/3, 2/5, 0.45
1/3 ≈ 0.333, 2/5 = 0.40, and 0.45, so the order is 1/3, 2/5, 0.45.
Question 4: A baker uses 2¼ cups of flour per batch of cookies. How many cups are needed for 4 batches?
- 8 cups
- 8½ cups
- 9 cups (Correct answer)
- 9½ cups
Correct answer: 9 cups
2¼ × 4 = 9/4 × 4 = 9 cups.
Question 5: On a coordinate plane, what are the coordinates of a point 3 units to the right and 5 units up from the origin?
- (5, 3)
- (−3, 5)
- (3, 5) (Correct answer)
- (3, −5)
Correct answer: (3, 5)
Right means positive x and up means positive y, giving the point (3, 5).
Question 6: A class of 30 students took a test. The average score was 82. What was the total number of points scored by the class?
- 2,340
- 2,400
- 2,460 (Correct answer)
- 2,500
Correct answer: 2,460
Total = average × number of students = 82 × 30 = 2,460.
Question 7: Which expression is equal to 5(3 + 4)?
- 5 × 3 + 4
- 5 + 3 × 4
- 5 × 3 + 5 × 4 (Correct answer)
- 3 × 4 + 5
Correct answer: 5 × 3 + 5 × 4
By the distributive property, 5(3 + 4) = 5 × 3 + 5 × 4 = 15 + 20 = 35.
A car depreciates in value by 20% each year.
If it is worth $15,000 today, what will it be worth after one year?