DIVIDING 4-DIGIT NUMBERS
PARTIAL QUOTIENTS & AREA MODELS
MEASUREMENT CONVERSIONS
PERIMETER & AREA OF RECTANGLES
WORD PROBLEMS (MIXED SKILLS)
100

3,648 ÷ 6

608

100

Write the first partial quotient you would subtract in solving 4,504 ÷ 4.

1,000 (because 4 × 1,000 = 4,000)

100

6 pounds → ounces

1lb=16oz

96 oz

100

Find the perimeter: length 12 ft, width 4 ft.

32 ft

100

There are 48 muffins. They’re packed into boxes of 6.
How many boxes?

8 boxes

200

A factory packs 4,860 beads into boxes of 9.
How many boxes can they fill?

540 boxes

200

Make a model represents 6,048 ÷ 6?

Area model splits 6,048 into 6,000 + 48 → quotient = 1,008

200

A jug holds 3 liters of juice.
How many milliliters is that?

3,000 mL


200

A rectangle has an area of 63 sq ft and a width of 7 ft.
What is the length?

9 ft

200

A class earns 3,250 points in a fundraiser.
If they share the points across 5 teams, how many points per team?

650 points

300

Estimate 5,127 ÷ 7 using a friendly number.

5,127 ≈ 4,900 → 4,900 ÷ 7 = 700

300

A student wrote partial quotients:
800, 300, 20.
Their dividend was between 10,000 and 12,000.
What could the division problem be?

11,220 ÷ 10 = 1,122


300

A rope measures 84 inches. How many feet is that?

7 ft

300

A garden is 18 m long and 11 m wide.
What is the perimeter?

58 m

300

A patio is 9 ft wide and has an area of 117 sq ft.
What is its length?

13 ft

400

Divide using partial quotients: 7,392 ÷ 8

924

400

Explain what a partial quotient represents in a division model.

A large “chunk” of the dividend you subtract at once based on repeated multiplication of the divisor.

400

A runner jogs 2.5 miles each day.
How many yards is this?

1 mile=1760 yards

4,400 yards

400

A rectangle has a perimeter of 50 cm.
If the length is 15 cm, what is the width?

10 cm


400

A school buys 7,280 crayons to divide among 8 grade levels.
How many crayons per grade?

910 crayons

500

A fundraiser sold 6,315 tickets. They group tickets in stacks of 5.
How many full stacks can they make and how many tickets are left over?

1,263 stacks

500

Solve using any method: 9,072 ÷ 7

1,296

500

A science class pours 4 quarts of water equally into pint-sized containers.
How many containers can they fill?

8 pints → 8 containers

500

Two rectangles have the same area.
Rectangle A: 8 cm × 12 cm
Rectangle B: 6 cm × ___ cm
Find the missing side so the areas match.

16 cm

500

A tank holds 4 gallons of water.
If one experiment uses 3 cups, how many experiments can be run?
(1 gallon = 16 cups)

4 gallons = 64 cups → 21 experiments with 1 cup left over

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