FREE Stanford Achievement (Math) Questions and Answers
How far will a car travel in 3 hours if it maintains a steady speed of 60 miles per hour?
To find the distance traveled, you can use the formula: Distance = Speed × Time.
In this case:
• Speed of the car = 60 miles per hour.
• Time traveled = 3 hours.
Distance = 60 miles per hour × 3 hours = 180 miles.
So, the car will travel a distance of 180 miles in 3 hours at a constant speed of 60 miles per hour.
For x, solve 2x + 5 = 17.
To solve for x in the equation 2x + 5 = 17, you need to isolate x on one side of the equation. Here's how you can do it step by step:
1. Subtract 5 from both sides of the equation:
2x + 5 - 5 = 17 - 5
2x = 12
2. Now, divide both sides by 2 to isolate x:
2x / 2 = 12 / 2
x = 6
So, the solution to the equation is x = 7, as x equals 7 when you simplify the equation.
What is the area of a rectangle with dimensions of 10 inches long by 5 inches wide?
To find the area of a rectangle, you multiply its length by its width. In this case:
Length = 10 inches
Width = 5 inches
Area = Length x Width
Area = 10 inches x 5 inches = 50 square inches
So, the area of the rectangle with a length of 10 inches and a width of 5 inches is 50 square inches, not 10, 15, or 20 square inches.
What number comes after 2, 5, 8, 11, ____ in the list?
The sequence you provided increases by 3 with each term. Starting with 2:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
To find the next number in the sequence, add 3 to 11:
11 + 3 = 14
So, the next number in the sequence is 14.
What is the likelihood of drawing a red marble at random from a box containing 12 red marbles and 8 blue marbles?
To find the probability of selecting a red marble randomly, you can use the following formula:
Probability (Red Marble) = (Number of Red Marbles) / (Total Number of Marbles)
In this case:
Number of Red Marbles = 12
Total Number of Marbles = 12 (red) + 8 (blue) = 20
Probability (Red Marble) = 12 / 20 = 0.6
To express this probability as a percentage, you multiply by 100:
0.6 * 100% = 60%
So, the probability of randomly selecting a red marble from the box is 60%.
How many slices of pizza are left after 8 equally sized slices have been consumed?
If a pizza is initially cut into 8 equal slices and 4 slices are eaten, you can calculate the number of slices remaining by subtracting the slices eaten from the total number of slices:
8 slices (total) - 4 slices (eaten) = 4 slices remaining
So, there are 4 slices of pizza left.
300 miles are covered by a train in 4 hours. How fast does it typically go in miles per hour?
To find the average speed of the train, you can use the formula:
Average Speed = Total Distance / Total Time
In this case:
Total Distance = 300 miles
Total Time = 4 hours
Average Speed = 300 miles / 4 hours = 75 miles per hour
So, the train's average speed is 75 mph.
What happens when you multiply 7 by 4?
To find the result of 7 multiplied by 4, you simply multiply the two numbers together:
7 x 4 = 28
So, the result of 7 multiplied by 4 is 28, not 11, 24, or 31.
25% of 80 is what?
To find 25% of 80, you can calculate it as follows:
25% means 25 out of 100, which can be written as a fraction of 25/100.
To find 25% of 80, you multiply 80 by the fraction 25/100:
80 * (25/100) = 2000/100 = 20
So, 25% of 80 is equal to 20.
What does 49's square root mean?
The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 49 is 7 because:
7 * 7 = 49
So, the square root of 49 is 7, not 5, 6, or 8.
What is the length of one side of a square whose perimeter is 20 inches?
In the square, all four sides are of equal length. To find the length of one side of the square when you know the perimeter, you can divide the perimeter by 4 beause there are four equal sides:
Perimeter of square = 20 inches
Perimeter of square = 20 inches
Each side of the square = Perimeter / 4 = 20 inches / 4 = 5 inches
So, the length of one side of the square is 5 inches.