5th Grade PSSA Math Review

Decimals

100

In the number 429.83, what digit is in the tenths place?

8

200

What is the expanded form of 542.04?

500 + 40 + 2 + 0.04

300

At noon the temperature in Philadelphia was 56.02 degrees. By 2:00, the temperature dropped 6.8 degrees. What was the temperature at 2:00?

49.22 degrees

400

Jackie is trying to find the product of 5.67 and 2.3. What is the answer?

13.041

500

Which answer choice below shows decimals in order from least to greatest: A. 5.6, 5.07, 5.3, 5.01 B. 14.9, 14.88, 14.87, 14.2 C. 34.32, 34.2, 34.19, 33.9 D. 18.6, 18.62, 18.70, 18.8

D. 18.6, 18.62, 18.70, 18.8

Fractions

100

What is the sum of 1/6 + 9/12

11/12

200

What symbol belongs in the blank below? 2/5 ________ 8/15

<

300

Last week, Mike walked 7/12 miles, John walked 1/3 miles, Peter walked 1/2 miles, and Paul walked 4/6 miles. Which boy walked the least amount?

John = 4/12

400

Which answer choice is equal to 2/3? A. 5/6 B. 6/8 C. 6/9 D. 9/12

C. 6/9

500

What is 28/32 reduced to simplest form?

7/8

Simplifying Fractions

100

Simplify  2/4 

1/2

200

Simplify  6/10 

 3/5 

300

Simplify  12/21 

 4/7 

400

Simplify  15/18 

 5/6 

500

Simplify  28/48 

 7/12 

Problem Solving

100

A pretzel factory makes 148 pretzels an hour. About how many pretzels can it make in 4 hours?

About 400 pretzels

200

At the store, Jim bought a soda for $1.98 and a bag of chips for $0.85. If he pays with a $5.00, how much change will he receive?

$2.17

300

On Monday, Mrs. Fields made 80 cookies and on Tuesday she made 64 cookies. She wants to give cookies to her 3 friends. If she gives each friend the same amount of cookies, how many cookies will each friend receive?

48 cookies

400

A marathon race lasts 26.2 miles. Casey has ran 6 marathons in her life. About how many total miles has Casey run?

156

500

Jordan made $140 over the weekend. He spent $64 on a new outfit. He then spent the rest of his money on two video games. How much did each video game cost?

Each video games costs $38.

Probability

100

In her pencil case, Emily has 4 red pens, 9 black pens, 5 green markers, and 2 pencils. If chosen randomly, what are the chances that Emily will pick a red pen? Express your answer as a fraction.

4/20

200

James has a six sided dice. What are the chances that he rolls a number that is greater than 2 but less than 5?

2/6

300

Which answer choice below is NOT true about a six sided dice? A. You have an equal chance of landing on all the numbers. B. You have a 3/6 chance of landing on an even number. C. You have a 2/6 chance of landing on a factor of 3. D. You have a 4/6 chance of landing on a multiple of 2.

D. You have a 4/6 chance of landing on a multiple of 2.

400

In her closet, Tina has 4 black shirts, 8 pink shirts, 3 red shirts, 10 white shirts, and 2 green shirts. If chosen at random, what are the chances that the shirt she will pick is NOT pink?

19/27

500

Jason wrote down every number from 10to 20 on an index card. He placed the cards into a box. If chosen at random, what are the chances that Jason will select a prime number? Express your answer as a fraction

4/11

Exponents

100

What is this exponent written as a multiplication expression?

2^3

2 x 2 x 2

200

What does the exponent tell us to do to the base?

Multiply it by itself that many times

300

Evaluate: 

3^4

81

400

What is 11 x 11 x 11 x 11 written as an exponent?

11^4

500

Evaluate: 

(1/2)^2

 1/4 

Patterns and Algebra

100

What is the rule for the number pattern below: 4, 16, 64, 256

Multiply 4

200

Amber is hiking to the top of a mountain. She hiked 450 miles in the morning and 145 in the afternoon, but she still has not reached the top of the mountain. If M stands for the top of the mountain, which inequality represents the story? A. 450 - 145 = M B. 450 + 145 > M C. 450 + 145 < M D. 450 - 145 > M

C. 450 + 145 < M

300

What is the value of Z in the equation below? Z x 9 = 135

Z = 15

400

What is the rule for the pattern below? Fill in the missing blanks. 13, 9, 18, 14, 28, _____, ________

Subtract 4 Multiply 2 24, 48

500

What is the value of V in the equation below? V 8 = 16

V = 128

Mixed #'s and Improper Fractions

100

Is  4 5/7 a mixed number or an improper fraction?

Mixed number!

200

Convert  11/4 to a mixed number.

2 3/4

300

Convert  5 3/7 to an improper fraction.

 38/7 

400

What is  9/5  +  1/4 ? Write your answer as a mixed number.

 2 1/20 

500

What is  5 1/4 -  3 2/3 ? Write your answer as a mixed number.

 1 7/12