Instructions
Read each question carefully and show your work where necessary. You may use the space next to the questions for your calculations. Write your final answer in the space provided or as instructed in the question. Simplify all fractions and ratios unless told otherwise.
Section 1: Number Placement & Comparison
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Arrange the following numbers in order from least to greatest:
3/8, -0.4, 35%, 0.37
______________________________________________________
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Compare the following pairs of numbers using <, >, or =.
a) 5/9 ______ 0.55
b) 125% ______ 5/4
Section 2: Fraction & Decimal Operations
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Calculate the product. Express your answer as a mixed number.
2 ¼ × 3 ½
Answer: __________________
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Evaluate the following expression. Express your answer as a decimal.
(4.5 × 2) - (7/2)
Answer: __________________
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A recipe for a batch of cookies requires 1 ¾ cups of flour. If you want to make 2.5 times the recipe, how many cups of flour do you need? Express your answer as a mixed number.
Answer: __________________
Section 3: Ratios in Action
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Simplify the following ratio completely:
48 : 64
Answer: __________________
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Solve for x in the following proportion:
5 / 7 = x / 91
x = __________________
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The ratio of students who prefer action movies to comedy movies in a class is 5:3. If there are 32 students in the class in total, how many students prefer action movies?
Answer: __________________
Section 4: Putting It All Together
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A smartphone's price is reduced by 1/5 for a sale. The sale price is $640. What was the original price of the smartphone?
Answer: __________________
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Two friends, Alex and Ben, share the profit from a small business in the ratio 2:3. In one month, they make a total profit of $2,100. Alex decides to invest 40% of his share into a new project. How much money, in dollars, does Alex invest?
Answer: __________________
Answer Key
- -0.4, 35%, 0.37, 3/8
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a) > (since 5/9 is approx 0.556)
b) = (since 125% is 1.25 and 5/4 is 1.25) - 7 ⅞
- 5.5
- 4 ⅜ cups
- 3 : 4
- x = 65
- 20 students
- $800
- $336