Patterns & Rules
You start at 5 and keep adding 5. Write the first 5 numbers in this pattern.
5, 10, 15, 20, 25
Find the value of 48x13. Show your reasoning.
624
Find the value of 2,036 divided by 4. Show your reasoning.
509
A rectangular garden is 14 ft long and 6 ft wide. What is the area of the
garden?
84 square meters.
Which is the best estimate for ? Is it 600, 900, or 1,200?
900
This rule: "Start at 3, multiply by 2 each time." Write the pattern: 3, _____, _____, _____, _____.
3, 6, 12, 24, 48
Find the value of 638 x 12. Show your reasoning.
7,656
Find the value of 814 divided by 6. Show your reasoning.
135 R 4
Ms. Gnadt wants to put a fence around her garden. Her garden is 7 ft wide and 12 feet long. How many feet of fencing does she need to enclose the entire garden? Explain or show your reasoning.
She needs 38 feet of fencing.
Mrs. Halperin bought 185 packages of pens. There are 8 pens in each package. How many
pens did she buy? Show your reasoning.
Mrs. Halperin bought 1,480 pens.
In the pattern 4, 8, 12, 16, 20, . . . , which of these is NOT a number in the pattern:
32, 35, or 40?
35
A store has 142 boxes of crayons. Each box contains 15 crayons. How many crayons
does the store have in total? Show your work.
The store has 2,130 crayons.
There are 225 stickers to be shared equally among 9 friends. How many stickers does
each friend get? Show your work.
Each friend gets 25 stickers.
A garden needs soil to cover 200 square feet. Each bag of soil covers 8 square feet.
How many bags are needed? Show your work.
25 bags of soil are needed.
A store received 1,512 apples. They want to display them equally on 9 shelves. How
many apples go on each shelf? Show your work.
They can display 168 apples on each shelf.
6, 18, 54, 162... What is the rule for the pattern?
Multiply by 3.
What is the best estimate for the value of 5,908 x 7? Is it 40,000 or 42,000 or 35,000?
42,000
A library received 1,680 books. They want to put them equally on 7 shelves. How
many books go on each shelf? Show your reasoning
240 books go on each shelf.
A room is 16 feet long and 14 feet wide. If carpet costs $8 per square foot, how much
will it cost to carpet the entire room?
It will cost $1,792 to carpet the entire room.
Mrs. Allen runs 325 feet in 5 laps around the gym. How many feet does Mrs. Allen run in each lap? Explain or show your reasoning.
Mrs. Allen runs 65 feet in each lap.
Ms. Schmidt is writing multiples of 7. What will the 8th multiple be?
56
A rectangular garden is 15 meters long and 35 feet wide. What is the area in square
meters? Explain your strategy.
The area of the garden is 180 square meters.
A factory produces 2,184 items and packages them into boxes of 6. How many boxes
are needed? Explain your strategy.
A rectangular room is 24 feet long and 18 feet wide. There are 8 boxes of tiles. Each
box covers 9 square feet. Is that enough to cover the entire floor? Explain why or why
not.
There are not enough tiles to cover the entire floor.
A farmer has a rectangular field that is 32 meters by 25 meters. He wants to divide it
into 8 equal sections. What is the area of each section? Explain your thinking.