PSSA Math Grade 5 Practice Test 2

Aubrey has a shelf full of books.
•Exactly ⅓ of the books on the shelf are mysteries.
•Aubrey has read 10 of the mysteries on the shelf.
•The number of mysteries Aubrey has read is greater than ⅕ of the number of mysteries on the shelf and less than ¼ of the number of mysteries on the shelf.
Which could be the number of books on the shelf?

• 120
• 142
• 147
• 150

Kelly spends 5 hours making pizzas. Each pizza takes her ¼ hour to make. When she is finished, all of the pizzas are shared equally among 6 families. How many pizzas does each family receive?

• ⁵∕₂₄
• ³∕₁₀
• 3⅓
• 7½

Janet has ⁴∕₉ gallon of paint. She uses ⅛ of the paint she has to cover 3 canvases. She uses the same amount of paint to cover each canvas. What amount of paint does Janet use to cover each canvas?

• ¹∕₅₄
• ⁵∕₇₂
• ⅙
• ²³∕₂₄

Wendell has 12 cups of rice. He puts an equal amount of rice into each of 5 bowls. Wendell eats ⅓ of a bowl of rice. How many cups of rice does Wendell eat?

• ⁵∕₃₆
• ⅘
• 1¼
• 7⅕

The product of ⅜ and any whole number is less than the whole number. Which statement about the fraction ⅜ is a reason why this is true?

• The numerator is greater than 1.
• The denominator is greater than 1.
• The denominator is greater than the numerator.
• The difference between the denominator and the numerator is greater than the numerator.

Paul has ½ gallon of liquid fertilizer. He puts an equal amount of the fertilizer into each of 5 bottles. Paul then uses ⅓ of the fertilizer from one of the bottles on a flower. What fraction of a gallon of fertilizer does Paul use on the flower?

• ¹∕₃₀
• ⁷∕₃₀
• ³∕₁₀
• ⅚

Greg makes a pan of brownies.
• He takes ⅔ of the brownies to his friend’s house.
• He freezes ¼ of the brownies.
• He gives the remaining brownies to his 4 sisters.
• His sisters equally share the remaining brownies.
What fraction of the pan of brownies does each sister get?

• ¹∕₄₈
• ¹∕₁₆
• ¹∕₈
• ¹∕₃

Mark makes a pattern that starts with 5 and uses the rule “subtract 1, and then multiply by 3.” Which expression can be used to find the third number in Mark’s pattern?

• 5 − 1 × 3 − 1 × 3
• 3(5 − 1) + 3(5 − 1)
• 3[3(5) − 1]
• 3[3(5 − 1) − 1]

Which expression has half the value of 2 + 898 × 950?

• 1 + 449 × 475
• 1 + 898 × 475
• 2 + 449 × 475
• 2 + 898 × 475

All the students in a class are sitting at tables.
• There are 6 round tables, and 3 boys and 4 girls are sitting at each round table.
• There are 7 square tables, and 5 boys and 3 girls are sitting at each square table.
• Ms. Martin gives each student in the class 2 books.
Which expression can be used to find the total number of books Ms. Martin gives to the students?

• 2 (6 + 3 + 4 + 7 + 5 + 3)                                                                                                   
• 6 (3 + 4) + 7 (5 + 3) + 2                                                                                                  
• 2 [6 (3 + 4) + 7 (5 + 3)]                                                                                           
• 6 [(3 + 4) + 2] + 7 [(5 + 3) + 2]