Fractions and Square Root Practice Questions
1. What is the improper fraction or mixed number represented by the following figure?
A. 2 ^{1}/_{3}
B. ^{7}/_{6}
C. 2 ^{5}/_{8}
D. ^{11}/_{3}
E. ^{11}/_{9}
2. Which of the following fractions most correctly depicts the shaded area of the circle below?
A. ^{3}/_{8}
B. ^{5}/_{8}
C. ^{3}/_{4}
D. ^{5}/_{11}
E. ^{1}/_{2}
3. Which of the following is not a fraction equivalent to 3/4?
A. ^{6}/_{8}
B. ^{9}/_{12}
C. ^{12}/_{18}
D. ^{21}/_{28}
E. ^{27}/_{36}
4. Solve: 0.25 + 0.65
A. ^{1}/_{2}
B. ^{9}/_{10}
C. ^{4}/_{7}
D. ^{2}/_{9}
E. ^{5}/_{16}
5. Which of the following statements is false?
A. In the fraction ½, one is the numerator.
B. When 4.89 is rounded to the ones place, the answer is 5.
C. Ten thousandths place is located 5 places to the right of the decimal
D. ^{7}/_{6} is described as an improper fraction.
E. 33 ^{1}/_{3} % is equivalent to ^{1}/_{3}
6. Find the square of ^{25}/_{9}
A. ^{5}/_{3}
B. ^{3}/_{5}
C. 7 ^{58}/_{81}
D. ^{15}/_{2}
E. ^{650}/_{81}
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.
B. She needs ^{1}/_{8} of a cup of sugar.
C. She needs ^{3}/_{80} of a cup of sugar.
D. She needs ^{4}/_{19} of a cup of sugar.
E. She needs ^{1}/_{9} of a cup of sugar.
8. There are 8 ounces in a ½ pound. How many ounces are in 7 ^{3}/_{4} lbs?
A. 12 ounces
B. 86 ounces
C. 119 ounces
D. 124 ounces
E. 138 ounces
9. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change?
XZ
Y
A. increases by half
B. decreases by half
C. triples
D. doubles
E. remains the same
10. Which of the following fractions is the equivalent of 0.5%
A. ^{1}/_{20}
B. ^{1}/_{200}
C. ^{1}/_{2000}
D. ^{1}/_{5}
E. ^{1}/_{500}
11. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
E. 44
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
B. ⅕
C. ^{1}/_{7}
D. ^{1}/_{9}
E. ^{1}/_{10}
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
B. ^{2}/_{3} cups
C. ^{1}/_{15} cups
D. ^{7}/_{15} cups
E. ^{7}/_{16} cups
14. ¾  ½ =
A. ¼
B. ⅓
C. ½
D. ^{2}/_{3}
E. ^{2}/_{5}
15. 7 ½  5 ^{3}/_{8} =
A. 1 ½
B. 1 ^{2}/_{3}
C. 2 ^{1}/_{8}
D. 3 ^{1}/_{4}
E. 3
Answers & Explanations
1. 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 25^{2}/9^{2} , 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 12/155/15, which equals 7/15. Thus, you need to add 7/15 cup of water.
14. A: The difference may be written as 3/42/4, which equals 1/4.
15. C: The difference may be written as 7 4/85 3/8, which equals 2 1/8.
by Enoch Morrison
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