Iowa 5th Grade Math Practice Test

Maira spends $4.50 every day on snacks. What is the total amount of money Maira spends on snacks for 2 weeks?

The graph shown below represents the relationship between the number of hours studied, n, and the corresponding test scores, t, for a group of students.

What is the value of n when t = 75?

A stationery shop received a shipment of 120 boxes of colored pencils. Each box contains 24 colored pencils. The shop staff is arranging the colored pencils into sets of 8 pencils each for an advertising gift.

Which equation can be used to find p, the number of sets of colored pencils the shop can make?

The volume of a rectangular prism is 144 cubic units, and the length and the width are 8 units and 6 units. What is the height of the rectangular prism?

Jacky has 1825 caramel candies, and he wants to distribute them equally among 73 gift packs. How many caramel candies will he put in each gift pack?

The distance traveled by a car is shown in the expanded notation below.

(5 × 100) + (3 × 10) + (7 × 1) + (2 × 0.1) + (6 × 0.01)

What is the total distance traveled by the car in km, written as a numeral? Enter in just the number, not the “km” unit.

The equation y = x – 3 is represented by the points drawn on the coordinate grid below:

Which of the following tables also represents this equation?

The table shows the heights of four students in centimeters.

Which comparison of these heights is NOT correct?

Mr. Armstrong had 3 \frac{2}{3} liters of orange juice. He poured \frac{1}{2} liter of the orange juice into glasses for his guests.

How many liters of orange juice did Mr. Armstrong have left after serving his guests?

Which statement regarding a coordinate grid is incorrect?

Olivia used \frac{3}{7} of a sack of sand to fill 21 sandboxes. She distributed the same amount of sand to each sandbox.

How much sand did Olivia use to fill each sandbox?

Ella drinks 1.5 liters of juice each day. How many milliliters of juice does Ella drink each day?

A cook made 46 loaves of bread with 18.4 kg of flour. All the loaves were made with an equal amount of flour.

How much flour, in kilograms, was used in each loaf?

Two numbers are given with a missing number in between.

4.512 _____ 4.524

Which of the following numbers can be placed in the blank to show the order from the greatest to the least?

Sam ordered 75 packets of cupcakes. There were 25 cupcakes in each packet. How many cupcakes did Sam order?

Which of the following is the value of the expression?

22[8 + [21 ÷ 3] – 5]

The figures shown are rectangular prisms composed of unit cubes.

Which of the following figures has a volume of 10 cubic units?

Jack earned a total of $770 working at a car and bike detailing company.

• He washed 12 cars for $42 each.
• He washed 14 bikes.
• Each bike was washed for the same price.

The equation shown can be used to find s, the money in dollars he earned for each bike washed:

s = [770 – (12 × 42)] ÷ 14

How much money did Jack earn in dollars for washing each bike?

Consider the U-shaped figure below, which has dimensions given in cm.

What is the area of the U-shaped figure? Enter in just the number, do not put “cm”, “squared”, or anything else.

Alice was asked to identify prime numbers between 70 and 85.

Her list is: 71, 73, 83.

Which prime number is missing from her list?

Ruby wants to use a 7.56-meter-long satin ribbon for her craft project. She wants to cut it into 7 equal pieces. What is the length of each piece of satin ribbon in meters?

Two shapes are shown on the coordinate grid below:

Which ordered pair represents a point that is inside both shapes?

Which of the following tables has only x and y values that make the equation y=2.5x true?

Philip and David are comparing the distances they ran.

• Philip ran a distance of 3.5 kilometers.
• David’s run is five times the distance of Philip’s run.

What is the distance that David ran in meters? Enter in just the number, do not include “meters”.

Identify the figure that represents \frac{7}{12} of the whole.

Isabel has created a list of her monthly expenses.

Isabel total income is $5,500 this month. How much does she have for other expenses?

Andrew made three purchases: an iPhone for $699.99, AirPods for $120.26, and an Apple watch for $399.50. What is the best estimate for the total amount of money Andrew spent in dollars?

Which of the following expressions has a value of 20?

Sammy is hosting a pizza party. She ordered 12 large pizzas. Each slice is \frac{1}{8} of a pizza and is of equal size. What is the total number of slices after Sammy cut these pizzas?

Olivia has a piece of yarn that is 19 meters long. How much yarn will Olivia have left after using 8.75 meters for knitting and embroidery?