2021 V2 Study Guide 5th Grade Math

A gift box is in the shape of a right rectangular prism. What is the volume, in cubic centimeters, of the gift box?

• 24

• 45

• 225

• 450

Answer explanation

To find the volume of a rectangular prism, multiply the length, width, and height. Given the dimensions are 5 cm x 3 cm x 15 cm, the volume is 5 x 3 x 15 = 225 cubic centimeters.

What is the sum of (2/10 + 6/100)?

• 8/10

• 8/100

• 26/10

• 26/100

Answer explanation

To find the sum of (2/10 + 6/100), first convert both fractions to have a common denominator of 100. Then add the numerators together to get 26/100.

On Saturday, Mark sold 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

• 5/16

• 11/12

• 7/12

• 5/16

Answer explanation

Regan sold 2/3 of Mark's 7/8 gallons, which is (2/3) * (7/8) = 14/24 = 7/12 gallons. Therefore, Regan sold 7/12 gallons of lemonade.

Which point on the number line below represents a value of 0.75?

• point A

• point B

• point C

• point D

Answer explanation

Point C represents a value of 0.75 on the number line because it is located three-quarters of the way between 0 and 1.

Which comparison is true?

• 2.919 > 2.94

• 0.99 < 0.569

• 1.27 > 1.189

• 3.861 < 3.75

Answer explanation

The correct comparison is 1.27 > 1.189, as 1.27 is greater than 1.189.

Betty has 3 cats and 4 dogs. She feeds each of them one scoop of food twice a day. Which expression can be used to show how many scoops Betty feeds her pets in one day?

• (2 x 3) x 4

• (2 x 3) + 4

• 2 + (3 + 4)

• 2 x (3 + 4)

Answer explanation

The correct expression is 2 x (3 + 4) because Betty feeds each of her 3 cats and 4 dogs one scoop of food twice a day, totaling 2 scoops per pet. Multiplying 2 by the sum of 3 and 4 gives the total number of scoops Betty feeds her pets in one day.

A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has side lengths measuring 1 foot. What is the volume, in cubic feet, of the rectangular prism?

• 12

• 13

• 54

• 72

Answer explanation

The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the volume is 3 x 4 x 6 = 72 cubic feet.

What is the value of the expression below? [(3 x 4) - 6] + 4 x 2

• 4

• 14

• 20

• 30

Answer explanation

The expression simplifies to [(3 x 4) - 6] + 4 x 2 = (12 - 6) + 8 = 6 + 8 = 14. Therefore, the value of the expression is 14, which matches the correct answer choice.

Ms. Reed makes salad dressing by combining oil and vinegar. She combines 8 fluid ounces of oil and 3 fluid ounces of vinegar to make one batch. Ms. Reed makes 3 batches of salad dressing. How many total cups of salad dressing does she make?

• 3 1/8 cups

• 2 1/16 cups

• 3 3/4 cups

• 4 1/8 cups

Answer explanation

To find the total cups of salad dressing, multiply the amount of oil and vinegar per batch by the number of batches: (8 + 3) * 3 = 33. Convert 33 fluid ounces to cups, which is 3 3/4 cups.

What is the area, in square feet, of the rectangle shown below?

• 11 11/20

• 24 12/20

• 27 4/20

• 32 6/20

Answer explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, the area is 32 6/20 square feet, which is the correct answer choice.