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Division with Remainders: Grade 4 Math Test – PDF Download

    This grade 4 division test checks division with remainders in 45 minutes, with 9 questions for a total of 20 points.

    This test has 9 questions worth 20 points. It covers division with up to four-digit dividends and one-digit divisors, area models, and remainders in word problems. Work for 45 minutes, show each step, and write remainders with the letter R.

    Test information
    • Grade: Grade 4
    • Chapter: Division with Remainders
    • Common Core: 4.NBT.B.6, 4.OA.A.3
    • Time: 45 minutes
    • Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts; Question 9: 2 pts)

    Grade 4 Division Test: questions 1–5

    Question 1: Quotient and remainder (2 points)

    The figure shows 59 dots.

    123456783 left
    59 dots.
    1. Find \(59 : 7\). (1 point)
    2. Find \(83 : 9\). (1 point)

    Question 2: Dividing by one digit (2 points)

    1. Find \(672 : 3\). (1 point)
    2. Find \(845 : 6\). (1 point)

    Question 3: Area model (2 points)

    The area model shows \(1,284 : 4\), split into parts with areas 1,200, 80, and 4.

    ?1,200?80?44
    Areas 1,200, 80, and 4.
    1. Find the missing number above each part. (1 point)
    2. Write the quotient. (1 point)

    Question 4: Large dividends (2 points)

    1. Find \(3,642 : 5\). (1 point)
    2. Find \(7,008 : 8\). (1 point)

    Question 5: Remainder rules (2 points)

    1. A number divided by 6 has quotient 52 and remainder 5. Find the number. (1 point)
    2. Explain why 7 cannot be the remainder when a number is divided by 6. (1 point)

    Grade 4 Division Test: questions 6–9

    Question 6: Shelves for books (2 points)

    Aisha has 83 books. Each shelf holds 9 books. How many shelves does she need to hold all of the books?

    Books83 booksShelf9holds 9
    One shelf holds 9 books.
    1. Find \(83 : 9\). (1 point)
    2. State the number of shelves needed. (1 point)

    Question 7: Baseball card pages (3 points)

    Jamal has 1,003 baseball cards. He puts 4 cards on each page of an album.

    1. How many pages are completely full? (1 point)
    2. How many cards are on the page that is not full? (1 point)
    3. How many pages does he need to hold all of the cards? (1 point)

    Question 8: Pencil boxes (3 points)

    The school store has 1,250 pencils. It puts 6 pencils in each box and sells every full box for $2.

    1. How many full boxes can the store make? (1 point)
    2. How many pencils are left over? (1 point)
    3. How much money does the store make from the full boxes? (1 point)

    Question 9: Number puzzles (2 points)

    1. A number divided by 7 has quotient 128 and remainder 5. Find the number. (1 point)
    2. When 390 is divided by 9, the quotient is 43. Find the remainder. (1 point)

    Division with Remainders: Grade 4 test answer key

    How to use this grade 4 division test

    Take this grade 4 division test without notes, then grade it with the test answer key out of 20 points.

    Next step after this grade 4 division test: Division with Remainders test answer key

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    Grade 4 Division with Remainders test

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