Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 2 — Questions and Answers
Question 1: The pattern is: 2, 6, 18, 54, ___. What is the next number?
- 108
- 162 (Correct answer)
- 72
- 216
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
Question 2: A pizza is cut into 8 equal slices. Tom eats 3 slices and Amy eats 2 slices. What fraction of the pizza is left?
- 3/8 (Correct answer)
- 5/8
- 2/8
- 1/2
Correct answer: 3/8
5 slices were eaten (3+2), leaving 8−5=3 slices, which is 3/8 of the pizza.
Question 3: If a car uses 2.5 gallons of gas every 50 miles, how many gallons does it need to travel 200 miles?
- 8 gallons
- 12 gallons
- 10 gallons (Correct answer)
- 5 gallons
Correct answer: 10 gallons
200 miles is 4 times 50 miles, so it needs 4 × 2.5 = 10 gallons.
Question 4: A square has a perimeter of 36 inches. What is the area of the square?
- 72 in²
- 81 in² (Correct answer)
- 144 in²
- 36 in²
Correct answer: 81 in²
Perimeter = 4 × side, so side = 36 ÷ 4 = 9 inches; area = 9² = 81 in².
Question 5: A class of 30 students took a math test. If 40% scored an A, how many students scored an A?
- 10
- 8
- 15
- 12 (Correct answer)
Correct answer: 12
40% of 30 = 0.40 × 30 = 12 students scored an A.
Question 6: Which number is equivalent to 2³ × 2²?
- 2⁵ (Correct answer)
- 4⁵
- 2⁶
- 4⁶
Correct answer: 2⁵
When multiplying powers with the same base, add the exponents: 2³ × 2² = 2^(3+2) = 2⁵.
Question 7: A map has a scale of 1 inch = 25 miles. Two cities are 6 inches apart on the map. What is the actual distance between them?
- 125 miles
- 150 miles (Correct answer)
- 175 miles
- 100 miles
Correct answer: 150 miles
6 inches × 25 miles per inch = 150 miles actual distance.
Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 2
The pattern is: 2, 6, 18, 54, ___.
What is the next number?