Division
8,000 ÷ 20 = 400 because 8÷2=4 and 3 zeros divided by 1 zero will be 2 zeros (you subtract the zeros). What is 24,000,000 ÷ 600?
40,000
What happens to the area of a rectangle if the length is doubled and the width is tripled?
The area is multiplied by 6.
Determine the area of a circle that has a diameter of 20 cm.
r=10, so 22/7 x 100 = 3.14x100 = 314 cm2
Give an example of a point in each of the four quadrants.
Answers vary.
Find the volume of a cube that is 15 cm x 15 cm x 15 cm.
153 = 3375 cm3
8,000 ÷ 20 = 400 because 8÷2=4 and 3 zeros divided by 1 zero will be 2 zeros (you subtract the zeros). BUT, subtracting zeros does not always give the correct number of zeros. For example, 400 ÷ 50 = 8 because 40 ÷ 5 = 8 and one of the zeros is used in this division. Find 2 numbers where the dividend has 4 zeros, the divisor has 1 zero and the quotient has 0 zeros.
There are an infinite number of solutions. One example is 10,000 ÷ 1250 = 8.
What happens to the area of a rectangle if the length is multiplied by 6 and the width is cut in half?
The area is multiplied by 3.
If you double the radius, what happens to the area of a circle?
It quadruples.
Give an example of two points that would create a vertical line segment.
Answers vary, but must have the same x value.
Find the surface area of a cube that is 15 in x 15 in x 15 in.
152 = 225
225 x 6 = 1350 in2
We know that 100 ÷ 25 = 4 so how can you determine 3,200 ÷ 25?
32x4=128
The length of a rectangle is increased by 25% and the width is decreased by a certain percentage and the area remains the same. What percentage is the width decreased by?
20%
Find the circumference of a circle with a radius of 20 inches.
C = 22/7 x d
If r = 20, then d = 40, so C = 22/7 x 40, or approximately 125.6 inches.
Give an example of two points that would create a horizontal line segment.
Answers vary, but must have the same y value.
Find the surface of a triangular prism that has these dimensions:
trianglular base: 15 cm x 8 cm
height: 10 cm
Area of the base = 15 x 8 x 1/2 = 60
60 x 10 = 600 cm2
Determine 3,229 ÷ 25. Give your answer as a mixed-number and as a decimal.
129 4/25
129.16
The angles of a triangle add to 180 degrees. What do the measures of the angles of a quadrilateral add up to? A pentagon? A decagon? What if there are n sides?
Quadrilateral- 360 degrees
Pentagon- 540 degrees
Decagon- 1440 degrees
N sides= 180(n-2)
If the circumference of a circle is 18 feet, what's the diameter?
C = 22/7 x d
18 = 22/7 x d, so
18/3.14 = d, so
d = approximately 5.73 feet.
Give an example of four points that, when plotted, create a rectangle.
Answers vary. They must show work.
Find the volume of a cylinder that's base has a radius of 5 cm and a height of 10 cm.
Area of the base = 25 x 3.14 = 78.5
78.5 x 10 = 785 cm3
There are 547 students going on a field trip. There needs to be at least adult for every 15 students. Each bus can hold 56 people total. How many buses are needed?
11
Give an example each of an isosceles and scalene triangle.
Answers vary.
What is pi a ratio of?
circumference/diameter
circumference to diameter
circumference:diameter
Give an example of four points that create two parallel lines when plotted.
Answers vary, must show work.
A rectangular tank is 60 cm long and 50 cm wide. It contains 42 liters of water when it is 1/3 full. Find the height of the tank. (1 liter = 1000 cm3)
42 liters = 42,000 cm3
42 x 3 = 126 liters
126 liters = 126,000 cm3
50 x 60 x h = 126,000
3000 x h = 126,000
h = 42 cm