Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 1 — Questions and Answers
Question 1: A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is picked at random, what is the probability it is blue?
- 1/4
- 3/12 (Correct answer)
- 1/3
- 5/12
Correct answer: 3/12
There are 3 blue marbles out of 12 total (4+3+5=12), so the probability is 3/12.
Question 2: Sarah earns $8.50 per hour. If she works 6 hours on Saturday and 4 hours on Sunday, how much does she earn in total?
- $51.00
- $34.00
- $85.00 (Correct answer)
- $76.50
Correct answer: $85.00
She works 6+4=10 hours total; 10 × $8.50 = $85.00.
Question 3: A rectangle has a length of 12 cm and a width of 7 cm. What is its area?
- 38 cm²
- 84 cm² (Correct answer)
- 76 cm²
- 19 cm²
Correct answer: 84 cm²
Area of a rectangle = length × width = 12 × 7 = 84 cm².
Question 4: If 3n + 7 = 25, what is the value of n?
- 4
- 6 (Correct answer)
- 9
- 8
Correct answer: 6
Subtracting 7 from both sides gives 3n = 18, so n = 18 ÷ 3 = 6.
Question 5: A train travels at 60 miles per hour. How many miles does it travel in 2 hours and 30 minutes?
- 120 miles
- 150 miles (Correct answer)
- 180 miles
- 90 miles
Correct answer: 150 miles
2 hours 30 minutes = 2.5 hours; 2.5 × 60 = 150 miles.
Question 6: What is 15% of 240?
- 30
- 24
- 36 (Correct answer)
- 48
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: A store sells apples for $0.45 each. Marcus buys 12 apples and pays with a $10 bill. How much change does he receive?
- $4.60 (Correct answer)
- $5.40
- $4.40
- $5.60
Correct answer: $4.60
12 × $0.45 = $5.40 cost; $10.00 − $5.40 = $4.60 change.
Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 1
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles.
If one marble is picked at random, what is the probability it is blue?