Instructions
- Solve the problems in order. The questions begin with review and gradually become more challenging.
- Show your work for calculations involving more than one step.
- Use mental math when you can, but a calculator may be used for the final section if your teacher or instructor allows it.
- For money problems, write dollar amounts with a dollar sign and two decimal places.
- Check that each answer is reasonable before moving on.
Learning goals: Practice whole-number operations, fractions, decimals, percentages, measurement, money, and multistep problem solving.
Section 1: Quick Calculations
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348 + 276 = __
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900 − 457 = __
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27 × 6 = __
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144 ÷ 12 = __
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Circle the greater number: 0.7 or 0.67
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Write the fraction shown by the description: 3 parts out of 8 equal parts are shaded.
Answer: __
Section 2: Everyday Numbers
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A grocery store has 245 apples. Workers place 128 more apples on the shelves. How many apples are there now?
Calculation: ____
Answer: ____
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A bus travels 72 miles in the morning and 58 miles in the afternoon. How many miles does it travel altogether?
Calculation: ____
Answer: ____
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Six friends share 42 stickers equally. How many stickers does each friend receive?
Calculation: ____
Answer: ____
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A water bottle holds 1.5 liters. How many liters do 4 bottles hold?
Calculation: ____
Answer: ____
Section 3: Money and Shopping
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A notebook costs $3.75 and a pen costs $1.25. What is the total cost?
Calculation: ____
Answer: ____
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You pay for a $14.60 purchase with a $20.00 bill. How much change should you receive?
Calculation: ____
Answer: ____
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A jacket originally costs $40. It is on sale for 25% off. How much money is saved?
Hint: Find 1/4 of $40.
Calculation: ____
Answer: ____
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Use the table to plan a snack order. The example row shows how to calculate the cost.
| Item | Price Each | Quantity | Total Cost |
|---|---|---|---|
| Example: Apples | $0.80 | 3 | $2.40 |
| ____ | $____ | __ | $____ |
| ____ | $____ | __ | $____ |
| ____ | $____ | __ | $____ |
| ____ | $____ | __ | $____ |
| ____ | $____ | __ | $____ |
Choose items and prices from this list: granola bar $1.20, banana $0.60, juice box $1.50, yogurt $0.90, sandwich $3.25.
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Using your completed table, find the total cost of all the snacks.
Calculation: ____
Answer: ____
Section 4: Fractions, Decimals, and Percentages
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Add: 1/4 + 2/4 = __
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A recipe needs 0.75 cup of milk. Write 0.75 as a fraction in simplest form.
Answer: __
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A class has 20 students. Five students walk to school. What percentage of the class walks to school?
Calculation: ____
Answer: ____
Section 5: Real-World Problem Solving
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A community garden is rectangular. It is 8 meters long and 5 meters wide.
a. What is its area?
Calculation: ____
Answer: ____
b. What is its perimeter?
Calculation: ____
Answer: ____
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You have $50 to spend on a field-trip lunch. You buy 4 sandwiches at $6.25 each, 4 drinks at $2.00 each, and one fruit tray for $8.50.
a. What is the total cost?
Calculation: ____
Answer: ____
b. How much money remains?
Calculation: ____
Answer: ____
c. Is your answer reasonable? Explain briefly.
Optional Challenge
A store offers two deals on a $60 backpack:
- Deal A: 20% off the original price
- Deal B: Pay $45
Which deal gives the lower price? How much lower is it?
Calculation: ____
Answer: _____
Answer Key
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624
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443
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162
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12
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0.7
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3/8
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373 apples
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130 miles
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7 stickers
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6 liters
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$5.00
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$5.40
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$10.00 saved
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Answers will vary. Sample completed rows:
| Item | Price Each | Quantity | Total Cost |
|---|---|---|---|
| Example: Apples | $0.80 | 3 | $2.40 |
| Granola bar | $1.20 | 2 | $2.40 |
| Banana | $0.60 | 3 | $1.80 |
| Juice box | $1.50 | 2 | $3.00 |
| Yogurt | $0.90 | 4 | $3.60 |
| Sandwich | $3.25 | 1 | $3.25 |
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Answers will vary depending on the selected quantities. For the sample table, the total is $14.05.
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3/4
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3/4
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25%
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a. 40 square meters
b. 26 meters
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a. $41.50
b. $8.50
c. Sample explanation: The total is reasonable because 4 sandwiches cost $25, 4 drinks cost $8, and the fruit tray costs $8.50. These amounts add to $41.50, which is less than $50.
Optional Challenge: Deal A saves $12, so the price is $48. Deal B costs $45. Deal B is lower by $3.