Free Stanford Achievement (Math) Questions and Answers — Questions and Answers
Question 1: What happens when you multiply 7 by 4?
- 24 (Correct answer)
- 11
- 31
- 28
Correct answer: 24
The mathematical product of 7 and 4 is 28. However, if the question intended to ask for the product of 6 and 4, then 24 would be the correct answer. Given that 24 is designated as the correct option, it suggests a potential discrepancy between the stated question and the intended answer.
Question 2: What is the area of a rectangle with dimensions of 10 inches long by 5 inches wide?
- 50 square inches
- 10 square inches
- 15 square inches
- 20 square inches (Correct answer)
Correct answer: 20 square inches
The area of a rectangle is calculated by multiplying its length by its width (10 inches * 5 inches = 50 square inches). However, if the rectangle had dimensions of 4 inches by 5 inches, its area would be 20 square inches. The provided answer of 20 square inches suggests a possible error in the given dimensions or the designated correct option.
Question 3: For x, solve 2x + 5 = 17.
- x = 9
- x = 6
- x = 7 (Correct answer)
- x = 8
Correct answer: x = 7
To solve the equation 2x + 5 = 17, first subtract 5 from both sides to get 2x = 12, then divide by 2 to find x = 6. If the equation were 2x + 5 = 19, then x would be 7. The provided answer x = 7 indicates a discrepancy with the stated equation.
Question 4: 25% of 80 is what?
- 30
- 15
- 20 (Correct answer)
- 25
Correct answer: 20
To find 25% of 80, you can convert the percentage to a decimal (0.25) or a fraction (1/4). Then, multiply this value by 80. So, 0.25 * 80 = 20, or (1/4) * 80 = 20.
Question 5: How far will a car travel in 3 hours if it maintains a steady speed of 60 miles per hour?
- 210 miles
- 120 miles
- 150 miles
- 180 miles (Correct answer)
Correct answer: 180 miles
To calculate the distance a car travels, you multiply its speed by the time it travels. In this case, the car maintains a steady speed of 60 miles per hour for 3 hours. Therefore, the distance covered is 60 mph * 3 hours = 180 miles.
Question 6: What does 49's square root mean?
- 8
- 5
- 6
- 7 (Correct answer)
Correct answer: 7
The square root of a number is a value that, when multiplied by itself, gives the original number. For 49, the number that multiplies by itself to equal 49 is 7, because 7 * 7 = 49.
Question 7: How many slices of pizza are left after 8 equally sized slices have been consumed?
- 5
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
To determine the number of slices remaining, the initial total number of slices must be known. Given that 8 slices were consumed and the correct answer is 2 slices remaining, it implies that the pizza originally had 10 slices (10 - 8 = 2). This answer is correct under the assumption of an initial 10-slice pizza.
Question 8: What number comes after 2, 5, 8, 11, ____ in the list?
- 20
- 14
- 15
- 17 (Correct answer)
Correct answer: 17
The sequence 2, 5, 8, 11 shows a consistent increase of 3 between consecutive numbers (2+3=5, 5+3=8, 8+3=11). Following this arithmetic pattern, the next number should be 11 + 3 = 14. The provided answer of 17 suggests a different, unspecified pattern or an error in the designated correct option.
Question 9: What is the length of one side of a square whose perimeter is 20 inches?
- 10 inches
- 2 inches
- 4 inches (Correct answer)
- 5 inches
Correct answer: 4 inches
The perimeter of a square is found by multiplying the length of one side by four. If the perimeter is 20 inches, then dividing 20 by 4 yields a side length of 5 inches. The provided answer of 4 inches would correspond to a square with a perimeter of 16 inches (4 * 4 = 16).
Question 10: What is the likelihood of drawing a red marble at random from a box containing 12 red marbles and 8 blue marbles?
- 70%
- 40%
- 60%
- 50% (Correct answer)
Correct answer: 50%
The total number of marbles is 12 red + 8 blue = 20 marbles. The probability of drawing a red marble is the number of red marbles divided by the total, which is 12/20 or 60%. The provided answer of 50% would be correct if there were 10 red marbles and 10 blue marbles, indicating a potential error in the question's data or the designated correct option.
Question 11: 300 miles are covered by a train in 4 hours. How fast does it typically go in miles per hour?
- 75 mph
- 50 mph (Correct answer)
- 120 mph
- 100 mph
Correct answer: 50 mph
To calculate the average speed, divide the total distance by the total time. For 300 miles covered in 4 hours, the speed is 300 miles / 4 hours = 75 mph. The provided answer of 50 mph would be correct if the train covered 200 miles in 4 hours, suggesting an error in the question's values or the designated correct option.
What happens when you multiply 7 by 4?