Sample Items: Mathematics Grade 5

Look at the equation below.
125 x N = 375

What value of N makes this equation correct?

Joanne created the function machine below.

Which of these statements correctly describes the relationship between the OUT number and the IN number?

Which pair of figures are similar?

Sally is going to build a table for her family room. It is in the shape of a triangular prism. What shapes will she need to build the table?

Paul drew the angle shown below.

What is the measure, in degrees, of the angle Paul has drawn?

Donna is mixing different colors of paint together to match the color of her house. The amounts of paint are shown below.

How many gallons of paint will Donna have after she has mixed all of the paint colors together?

The art teacher has 824 paint brushes. He wants to put 8 brushes in a box. How many boxes can he fill?

Bengy is working at a restaurant. Bread is delivered to the restaurant every third day. Meat is delivered to the restaurant every fifth day. Both were delivered today. In how many days will both items again be delivered on the same day?

Harry is using the spinner below.

Harry spins the arrow. What is the probability that the arrow will land on a number greater than 50?

You are going to toss a coin and spin a spinner, as shown below.

Which tree diagram correctly shows all possible outcomes for tossing the coin and spinning the spinner?

The number of cars sold over many weeks are shown below.

Which stem and leaf plot correctly shows the number of cars sold?

The low and high temperatures for four days are shown on the double bar graph below.

Which day had the greatest difference in temperature?

Terry is making drinks from a mix for the fifth grade class party. The ingredients for making the drinks are listed in the chart below.

Terry wants to make 12 quarts of drinks. How many gallons of water will she need?

Terry is making drinks from a mix for the fifth grade class party. The ingredients for making the drinks are listed in the chart below.

Terry wants to make 3 gallons of drinks. How many gallons of water will she need?

Mario spends about 45 minutes a day practicing his drums. He practices four days a week. How many hours a week does he practice?

Brendan pulled a chip out of a box and tossed a coin as shown below. He created a tree diagram to record all possible outcomes.

Which tree diagram correctly shows all possible outcomes for pulling a chip and tossing a coin?

Jack spins the arrow. What is the probability that the arrow will land on an odd number?

Jennifer needs to put up a fence around her backyard. Her backyard is shown below.

Step A

Classify the shape of Jennifer's backyard.

Step B

Explain how you classified the shape of Jennifer's backyard. Use what you know about quadrilaterals in your explanation. Use words, numbers, and/or symbols.

Tonya's dad is making a concrete patio in their backyard. Concrete is made from cement, sand, gravel and water. It takes twice as much sand as cement to make the concrete mix.

Tonya's dad used 3 gallons of sand in the mix.

Step A

How many quarts of cement did he use?

Step B

Explain how you found your answer. Use what you know about measurement in your explanation. Use words, numbers and/or symbols in your explanation.

Brendan is playing a game with these two spinners. The spinners are each divided into 4 equal sections. He spins the arrows on both spinners and records the color and number he got each time. For example, on his first spin, Brendan got blue, 2.

Step A

How many possible outcomes are there?

Step B

Explain how you found your answer. Use what you know about probability in your explanation. Use words, numbers, and/or symbols in your explanation.

Jack and Bob are using the spinner to play a game. The spinner is divided into equal parts. Each boy chooses a color. When the arrow lands on the chosen color, that boy gets a point. Jack chooses blue. Bob chooses red.

Step A

Predict who the winner is.

Step B

Explain why your answer is correct.
Use what you know about probability in your explanation.
Use words, numbers, and/or symbols in your explanation.

On Monday, 32 people went to the park before noon. In the afternoon, 24 more people came. On Tuesday, 26 people came to the park before noon. In the afternoon, 29 more people came.

Step A

Write a number sentence showing the relationship between the number of people at the park on Monday and the number of people at the park on Tuesday.

Step B

Explain why your answer is correct.
Use what you know about number relationships in your explanation.
Use words and/or numbers in your explanation.

Michele took a 20-question quiz in her mathematics class. She answered of the questions correctly on the quiz.

Step A

What is Michele's score written as a percent?

Step B

• Explain how you found the percent that is equivalent to the fraction form of Michele's score. Use what you know about fractions and percents in your explanation. Use words, numbers, and/or symbols.
• Michele took a 25-question quiz in her science class. She answered of the questions correctly. Is the score on her science quiz the same or different than her math score? Explain why your answer is correct. Use what you know about fractions and percents in your explanation. Use words, numbers, and/or symbols.