Quiz & test questions Grade 5 Math

Brookhaven's Storage Tank: A Grade 5 Volume and Decimals Quiz

A grade 5 quiz mixing multiple-choice, short-answer, and computation items on rectangular tank volume and decimal tank readings for a fictional town.

Grade: Grade 5
Subject: Math
Material: Quiz & test questions
Time: 30 min
Prep: No prep
Materials: None

Standards

5.MD.C.5 Common Core Math

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume, including applying the formulas V = l x w x h and V = b x h for rectangular prisms.

How this material aligns: Items 2, 3, and 8 apply V = l x w x h to the town's rectangular storage tank and convert cubic feet to gallons, the real-world volume work this standard names.

All materials for 5.MD.C.5 →

5.NBT.B.7 Common Core Math

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

How this material aligns: Items 5 and 6 require students to subtract and add decimal tank-level readings to hundredths, matching the decimal operations this standard requires at grade 5.

All materials for 5.NBT.B.7 →

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This material is in the public domain (CC0) and may be copied, edited, and shared freely, without attribution. Updated 2026-07-23.

Objectives

Students will find the volume of a rectangular tank and convert it to gallons.
Students will add and subtract decimal tank readings to hundredths.

Vocabulary

Key words: volume, cubic feet, decimal, storage tank

Teacher overview

This 30-minute quiz is worth 20 points. It checks whether grade 5 students can find the volume of a rectangular storage tank, convert cubic feet to gallons, and add and subtract decimal tank readings. The quiz mixes two multiple-choice items, one short-answer item, and five computation items, all set at a fictional town's water tank. One cubic foot holds 7.48 gallons. The volume items and the decimal items are kept separate so a teacher can see at a glance whether a student struggled with the volume formula, with the gallon conversion, or with lining up decimal points. A common error to watch for is adding the three side lengths instead of multiplying them, which shows up quickly on item 2.

Brookhaven's Storage Tank: A Grade 5 Volume and Decimals Quiz — Grade 5 Math

Name: ____________________________ Date: ______________

Assessment

The town of Brookhaven has a rectangular storage tank that is 20 ft long, 15 ft wide, and 10 ft deep.

(2 points) Which formula finds the volume of a rectangular tank?
- A) l + w + h
- B) l x w x h
- C) l x w
- D) 2 x (l + w)
(3 points) Find the volume of the tank in cubic feet.
(3 points) Change the tank's volume to gallons by multiplying by 7.48.
(2 points) What is the volume of a single 1-foot cube?
- A) 1 cubic foot
- B) 3 cubic feet
- C) 6 cubic feet
- D) 12 cubic feet
(3 points) On Monday the tank level read 8.75 ft. On Tuesday it read 7.90 ft. How far did the level drop?
(3 points) During a refill the level rose 1.25 ft, then rose 2.40 ft more. What was the total rise?
(2 points) Explain why you multiply length, width, and depth to find the tank's volume.
(2 points) The crew fills the tank halfway. How many cubic feet of water is that?

From Water for Schools (waterforschools.org). This material is in the public domain (CC0) and may be copied, edited, and shared freely.

Answer Key

Answer: B) l x w x h. Volume of a rectangular solid is length times width times depth.
Answer: 3,000 cu ft. V = 20 x 15 x 10 = 3,000 cu ft.
Answer: 22,440 gal. 3,000 x 7.48 = 22,440 gal.
Answer: A) 1 cubic foot. A cube that is 1 foot on each side is one cubic foot of volume.
Answer: 0.85 ft. 8.75 - 7.90 = 0.85 ft.
Answer: 3.65 ft. 1.25 + 2.40 = 3.65 ft.
Answer: You multiply length, width, and depth because volume counts how many unit cubes fill the tank, and those three measurements together count every cube.
Answer: 1,500 cu ft. Half of 3,000 is 3,000 divided by 2 = 1,500 cu ft.

Differentiation

Support

Provide a labeled drawing of the tank with length, width, and depth marked, and allow a calculator for items 2, 3, and 8. Give a place-value chart for the decimal items.

Extension

Ask students to find how many gallons a second tank holds if it is twice as long as the Brookhaven tank but the same width and depth, and to explain how they used their earlier answers.

ELL supports

Pair "volume," "cubic feet," and "level" with a labeled picture of a tank. Provide a sentence frame for item 7: "You multiply the three sides because ___."