Stanford Achievement Mathematics Procedures Questions and Answers — Questions and Answers
Question 1: A student's scores on five math tests were 85, 92, 78, 88, and 90. What is the median score for these tests?
- 88 (Correct answer)
- 86.6
- 92
- 78
Correct answer: 88
To find the median, the numbers must first be arranged in order from least to greatest: 78, 85, 88, 90, 92. The median is the middle number in the set. In this case, the middle number is 88.
Question 2: A rectangular garden is 15.5 feet long and 8 feet wide. Which of the following equations correctly calculates the perimeter of the garden?
- (15.5 x 8)
- (15.5 + 8)
- (15.5 + 8) x 2 (Correct answer)
- (15.5 x 2) + 8
Correct answer: (15.5 + 8) x 2
The formula for the perimeter of a rectangle is P = 2(length + width). Therefore, the correct procedure is to add the length and width together (15.5 + 8) and then multiply the sum by 2.
Question 3: If a baker can decorate 3 cakes in 45 minutes, how many hours will it take to decorate 18 cakes at the same rate?
- 270 hours
- 4.5 hours
- 6 hours
- 3 hours (Correct answer)
Correct answer: 3 hours
First, find the time it takes to decorate one cake: 45 minutes / 3 cakes = 15 minutes per cake. Then, calculate the total time for 18 cakes: 18 cakes x 15 minutes/cake = 270 minutes. Finally, convert minutes to hours: 270 minutes / 60 minutes/hour = 4.5 hours.
Question 4: Which of the following fractions is equivalent to 0.625?
- 1/8
- 3/4
- 5/8 (Correct answer)
- 2/5
Correct answer: 5/8
The decimal 0.625 can be written as the fraction 625/1000. To simplify this fraction, find the greatest common divisor of 625 and 1000, which is 125. Divide both the numerator and the denominator by 125: 625 ÷ 125 = 5 and 1000 ÷ 125 = 8. Therefore, the equivalent fraction is 5/8.
Question 5: A recipe calls for 2.5 cups of flour. If you need to make only half of the recipe, how much flour do you need?
- 5 cups
- 1.25 cups (Correct answer)
- 1.5 cups
- 2 cups
Correct answer: 1.25 cups
To find half of the recipe, you need to divide the amount of flour by 2. The calculation is 2.5 cups / 2 = 1.25 cups.
Question 6: Evaluate the following expression: 5 + 3 x (10 - 4) ÷ 2
- 24
- 12
- 17
- 14 (Correct answer)
Correct answer: 14
This problem requires following the order of operations (PEMDAS/BODMAS): Parentheses/Brackets first (10 - 4 = 6). Then, Multiplication and Division from left to right (3 x 6 = 18; 18 ÷ 2 = 9). Finally, Addition and Subtraction from left to right (5 + 9 = 14).
Stanford Achievement Mathematics Procedures Questions and Answers
A student's scores on five math tests were 85, 92, 78, 88, and 90.
What is the median score for these tests?