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Quiz & test questions Grade 4 Math

Hazel Ridge Water Systems Unit Test: Pumping, Trips, and Conversions

A grade 4 unit test on a fictional town's water system, mixing multiple-choice, short-answer, and computation items on multiplication, division, and unit conversion.

Objectives

  1. Students will multiply two-digit rates by two-digit time amounts to find total gallons pumped.
  2. Students will divide multi-digit totals by one-digit divisors and interpret the remainder in context.
  3. Students will convert gallons to quarts using the relationship 1 gallon equals 4 quarts.

Vocabulary

Key words: quotient, remainder, convert, round

Teacher overview

This 35-minute unit test (30 points total) covers a unit built around the fictional town of Hazel Ridge's water system, including a well pump filling a storage tank, converting gallons to quarts, rounding large totals, and a delivery-van problem involving remainders. It mixes four multiple-choice items, three short-answer items, and three computation items, drawing on multiplication, division, rounding, and unit conversion from across the unit.

Hazel Ridge Water Systems Unit Test: Pumping, Trips, and Conversions — Grade 4 Math
Name: ____________________________ Date: ______________

Assessment

  1. (2 points) Hazel Ridge's well pump fills a tank. It moves 45 gallons each minute and runs for 30 minutes. Which expression finds the total gallons moved?

    • A) 45 + 30
    • B) 45 × 30
    • C) 45 ÷ 30
    • D) 30 − 45

  2. (4 points) Use the pump's rate from item 1 (45 gallons per minute, 30 minutes). Calculate the total gallons moved into the tank. Show your work.

  3. (2 points) The tank's amount is in gallons, but the town's report also lists it in quarts. Which fact helps convert gallons to quarts?

    • A) 1 gallon = 4 quarts
    • B) 1 gallon = 2 quarts
    • C) 1 quart = 4 gallons
    • D) 1 gallon = 8 quarts

  4. (3 points) Use your answer from item 2 and the fact from item 3. How many quarts does the tank hold?

  5. (3 points) A smaller tank at Hazel Ridge holds 275 gallons. Round this to the nearest hundred for the town's chart. Explain how you chose which way to round.

  6. (2 points) A delivery van holds 9 cases per trip. It must deliver 76 cases. Divide 76 by 9. What does the remainder mean for the delivery plan?

    • A) Fewer cases are needed than planned.
    • B) One more trip is needed for the leftover cases.
    • C) The remainder should be ignored.
    • D) The van's capacity was measured wrong.

  7. (4 points) Divide 76 by 9. State the quotient and the remainder. Then state the total number of trips needed to deliver all 76 cases.

  8. (3 points) Why might a town round a large gallon total for a public report instead of showing the exact number? Write one or two sentences.

  9. (4 points) A crew tests a repaired pipe. A pump runs at 68 gallons per minute for 27 minutes. How many gallons does the pump move during the test?

  10. (3 points) Why might a small amount of household water use be given in quarts instead of gallons?

    • A) Quarts are always a bigger number, so the amount looks bigger.
    • B) A small amount is easier to picture in whole quarts than as part of a gallon.
    • C) Gallons cannot be used to measure water at all.
    • D) Quarts and gallons measure completely different things.

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

Answer Key

  1. Answer: B.
    Multiplying the rate (45 gallons per minute) by the time (30 minutes) finds the total gallons moved, since the same amount is added every minute for 30 minutes.

  2. Answer: 1,350 gallons.
    45 gallons per minute × 30 minutes = 45 × 30 = 1,350 gallons.

  3. Answer: A.
    The fact "1 gallon = 4 quarts" is the correct within-one-system conversion needed to change gallons into quarts.

  4. Answer: 5,400 quarts.
    1,350 gallons × 4 quarts per gallon = 5,400 quarts.

  5. Answer: 300 gallons.
    275 has a tens digit of 7, which is 5 or greater, so the hundreds digit rounds up from 2 to 3, giving 300 gallons.

  6. Answer: B.
    A nonzero remainder means some cases are still left to deliver after the full trips, so one additional trip is needed to carry them.

  7. Answer: Quotient 8, remainder 4, 9 total trips.
    76 ÷ 9: 9 × 8 = 72, and 76 − 72 = 4, so the quotient is 8 and the remainder is 4. Because 4 cases are still left over, the van needs a 9th trip beyond the 8 full ones.

  8. Answer: Rounded numbers are easier to read and compare.
    Accept any reasonable explanation noting that a rounded total is quicker to read and compare from month to month in a public report, while the exact number can still be looked up separately when it is needed.

  9. Answer: 1,836 gallons.
    68 gallons per minute × 27 minutes = 68 × 27. Splitting 27 into 20 + 7: 68 × 20 = 1,360, and 68 × 7 = 476. 1,360 + 476 = 1,836 gallons.

  10. Answer: B.
    Describing a small household amount in whole quarts is often easier to picture than describing it as a fraction of a much larger gallon, which is why smaller units are chosen for smaller amounts.

Differentiation

Support (below grade level)

Provide a printed conversion card listing "1 gallon = 4 quarts" for items 3 and 4, and allow students to use a multiplication chart for items 2, 4, and 9. For item 7, provide the multiplication fact "9 × 8 = 72" already written to reduce the number of steps needed to find the remainder.

Extension (above grade level)

Ask students to write and solve one additional problem in the style of item 9, using a flow rate and time of their own choosing, and to explain how they would round their answer to the nearest hundred.

ELL supports

Provide a simple visual glossary card with icons for "pump," "tank," "van," and "remainder" next to each term. Allow students to answer items 5 and 8 with a labeled diagram or a shorter sentence using the frame: "I rounded to ___ because the digit was ___."