Divisibility
Area and Perimeter
Word Problems
100

Is 9992 divisible by 8?

Yes


9992 is divisible by 2 and 4.

100

The perimeter of a rectangle is 40 cm and its length is three times its width. What is the area of the rectangle?

75 sq. cm

Length = 15cm

Width = 5 cm

15 X 5 = 75 sq.cm

100

The price of a single apple if 5 apples cost 65 cents

13 cents


65/5 = 13

200

Is 99999342 divisible by 3, 9, neither or both?

Yes

It is divisible by 3 and 9.

200

The area of a square whose perimeter is 24 in.

  36 sq. in.


6x6 = 36 sq. in.

200

the price of a dozen oranges if 4 of them cost 80 cents

$2.40


3x0.80 = 2.4 

300

Is 176551 divisible by 11?

No

300

The area of this figure made up of rectangles:

84 sq. m

4x6 = 24 sq.m. 

10x6=60 sq.m

24+60=84 sq.m

300

The number of blocks in the 4th pile, if the pattern repeats:

10

5+2|1|1|1


400

Is 99911160 divisible by 8?

Yes

It is divisible by 2 and 4, so it's divisible by 8.

400

the area of the shaded portion of this figure:

  26 sq. in.

(6x11)-(10x4)

=66-40

=26 sq. in.

400

The number of ways of arranging the letters in the word BAT

6

BAT | BTA

TAB | TBA

ATB | ABT

500
Is 243360060 divisible by 12?
Yes, it is divisible by 3 AND 4 and therefore divisible by 12.
500

In the figure shown, two squares share corner A. The larger square has an area of 49 sq cm. The smaller square has an area of 25 sq cm. What is the perimeter of the shaded region, in cm?


28cm

2+7+7+2+5+5 = 28cm



500

The profit a store makes on 10 cupcakes if each sells for $1.50 and costs 80 cents to make

$7


Sell = 10x1.5 = 15

Cost = 10x0.80 = 8

Profit = 15-8

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