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Grade 6 Placement exam

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Sixth grade math proficiency test





For each of the following, show your work so that it is clear to the grader how you solved the problem.

Correct answers must be fully simplified, e.g. 6

8 would not be marked correct until you simplify it to 3

4 .

Improper fractions, like 9

5 , may be converted to mixed numbers 1 5  or left improper.

4









1. 3

8 of a pizza is left over in one box and 1

6 is left over in another box. If the two are combined

together, how much of a pizza is left?









2. Add 2.35  4

5 (you may give the answer as a decimal or a fraction – whichever you prefer)









3. The old prescription was for .375 grams, but the pharmacist was asked to reduce the prescription by

.125 grams. How much is the remainder?







4. Subtract 3 8  1 12 .

5 7









-







5. Raspberries are on sale at the store for $2.89 a pound and you weigh out 3 pounds and 4 ounces.

How much will you have to pay for your raspberries (note that the store always rounds your purchase

up rather than to the nearest cent.)







6. Multiply 3.75  523.4

7. At the gas station, you buy 16.8 gallons according to the pump and you are charged $70.38. How

much did you pay per gallon? (you may round off to the thousandth of a dollar)









8. Multiply 1 3  2 1

4 3









9. Write 25% as a fraction







10. Write 3.166 as a percentage







11. Write 0.6 as a fraction







12. Write 23

100 as a decimal









13. Write 23

100 as a percentage









14. Write 350% as a decimal



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