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Fractions and Square Root Practice Questions1. What is the improper fraction or mixed number represented by the following figure?
A. 2 1/3
2. Which of the following fractions most correctly depicts the shaded area of the circle below?
A. 3/8
3. Which of the following is not a fraction equivalent to 3/4? A. 6/8
4. Solve: 0.25 + 0.65 A. 1/2
5. Which of the following statements is false? A. In the fraction ½, one is the numerator.
6. Find the square of 25/9 A. 5/3
7. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need? A. She has enough sugar.
8. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs? A. 12 ounces
9. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change?
A. increases by half
10. Which of the following fractions is the equivalent of 0.5% A. 1/20
11. Which of these numbers is a factor of 21 A. 2
12. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average? A. ⅓
13. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add? A. ⅓ cups
14. ¾ - ½ = A. ¼
15. 7 ½ - 5 3/8 = A. 1 ½
Answers & Explanations1. C: The figure shows 2 completely shaded circles, plus 1/8 more than 4/8 shaded on the third circle. Thus, the figure represents the mixed number, 2 5/8. 2. B: The circle shows 1/8 more than 4/8, which represents 5/8. 3. C: The fraction, 12/18, is not equivalent to the fraction, 3/4, since the fractions do not represent the same ratio. The denominator for Choice C would need to be 16, for the two fractions to be equivalent. 4. B: The sum equals 0.90, which may also be written as 9/10. 5. C: The ten thousandths place is located 4 places to the right of the decimal. 6. C: The square of the given fraction may be written as 252/92 , or 625/81, which equals 7 58/81. 7. C: The sum of 3/8 cup of sugar and 3/5 cup of sugar is 39/40 cup of sugar. 39/40 cup of sugar can be compared to 15/16 cup of sugar by finding a common denominator. Doing so shows that Sarah will need 78/80 cup of sugar, but only has 75/80 cup of sugar. Thus, she needs 3/80 cup of sugar. 8. D: The following proportion may be used to find the solution: 8/0.5=x/7.75. Solving for x gives x = 124. Thus, there are 124 ounces in 7 3/4 pounds. 9. E: The value does not change because the 3 in the numerator and the 3 in the denominator cancel. 3XZ/3Y=XZ/Y. 10. B: 0.5% = 0.005, which may be written as 5/1000, which reduces to 1/200. 11. C: The number, 7, is a factor of 21, since 7 will divide evenly into 21. 12. B: The fraction of the daily consumption may be represented as 12.8/64, or 0.2. This decimal represents 1/5. Thus, a consumption of 12.8 ounces of water is 1/5 of the daily average consumption. 13. D: The amount you need to add is equal to the difference of 4/5 and 1/3. Finding a common denominator allows you to write 12/15-5/15, which equals 7/15. Thus, you need to add 7/15 cup of water. 14. A: The difference may be written as 3/4-2/4, which equals 1/4. 15. C: The difference may be written as 7 4/8-5 3/8, which equals 2 1/8. by Enoch Morrison
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