Divisibility Rules
Adding and Subtracting Fractions
Circles
Associative, Commutative, and Distributative Properties
Cabinet Problems
Perimeter, Area, and Volume
100
How do we know if a number is divisible by 3?
If the sum of its digits is divisible by 3.
100
A rectangle has a perimeter of 40 cm. What are the dimensions of the rectangle?
Sample answer
12 cm long and 8 cm wide
11 cm long and 9 cm wide
100
What is the outside part of a circle called?
The circumference.
100
Use the commutative property to find the sum.
35 + 7 + 3
7 + 3 + 35 =
10 + 35 =
45
100
Peter has a box that measures 7dm, 5dm, and 8dm. He wants to fill it with cubes that are 2dm. He thinks that he can fit 25 cubes in the box. Is he right? Why or why not?
No, he isn't right because he can only fit in 24 cubes which is 1 less than he wants.
100
Height = 25 cm
Width = 10 cm
Length = 60 cm
What is the volume of the solid in cm3?
15000 cm3
200
What is the divisibility rule for 6s?
It needs to be an even number (divisible by 2) and divisible by 3.
200
5/12 + 1/4
2/3
200
What is a disk?
The Interior of a circle.
200
Jerry has a field on his farm that measures 26m long and 13m wide. He has 75m of fencing that he wants to use for this field. Does he have enough fence? Why or why not?
No, Jerry does not have enough fence. He needs 78m to surround the entire field and he only has 75m which is 3m to little.
200
A rectangle has a perimeter of 48m and an area of 140m2. What are the dimensions of the rectangle?
14m long and 10m wide
200
What is the area of this figure?
38 cm2
300
What does it take for a number to be divisible by 9?
The sum of its digits need to be divisible by 9.
300
Two thirds take away three fifths
1/15
300
A circle has a central angle that is 90 degrees. It represents 300 students. How many students does the entire circle represent?
1200 students
300
Bob thinks that 150 + 7 - 9 equals the same thing if you do 9 - 7 + 150. Is he right? Include the name of the property in your answer.
No, he is not correct because the commutative property only works for addition and multiplication, not subtraction.
300
Juliette and Sofia work at a pet store. They need to pack dog treats in a bigger box. The bigger box's length is 8cm, the width is 5cm and the height is 7cm. The volume of the box of dog treats is 24cm3. The width of the box of dog treats is 2cm and its height is 3cm. How many boxes of dog treats fit into one packing box?
8 boxes
300
Wrap a box that is 5dm high, 7dm long and 3dm wide with ribbon (once around the middle of the box). Is a ribbon that measures 150cm long enough to do this?
No it is not long enough, you need 190cm to wrap the box once around the middle.
400
Is 111 divisible by 9? Prove your answer.
No because 1+1+1 = 3, which is not divisible by 9.
400
2/10 + 2/20 + 70/100 = ?
Reduce your answer to its simplest form
1
400
Jerry wants to buy some circular lights for his room. He has $100 to spend and the lights are $19.95 each. If he buys more than 3, he gets a 20% discount. His parents tell him to buy as many lights as he has money for. How much money will he have left over once he makes his purchase?
$20.20
400
A rectangle measures 3 units by 10 units. Half of the units in the rectangle are green and 13/30 are red. The remaining units are blue. How many blue units are there?
2 blue units
400
Matthew wants to cover his floor with tiles. His floor measures 36dm by 24dm. The tiles are square and measure 40cm. How many tiles will Matthew need to cover his floor?
He will need 54 tiles.
400
A square has a perimeter of 50m. What is the area of this square?
156.25m2
500
Find a number that is divisible by 2, 3, 5, 6, and 10.
Answer has to be an even number ending in 0 whose digits when added together are divisible by 3.
500
4 - 13/5 = ?
7/5 or 1 and 2/5
500
If a quarter of a circle's diameter is 237 006m, what is the measurement of the radius?
474 012m
500
The volume of a solid is 3725dm3. The length of the solid is 25dm and its height is 5dm. What is its width?
29.8dm
500
A packing box measures 52 dam long, 28 dam wide, and 7 dam high. Michael wants to fit in some smaller boxes that measure 1cm long, 1 cm wide, and 1 cm high. How many boxes can he fit in the packing box?
10,192,000,000,000 boxes
500
If there is a black square with a perimeter of 20m inside a green rectangle that measures 250dm long and 150dm wide. What is the area of the green part of the rectangle?
350m2