Perimeter, Volume, Area
Angles
Potpourri
Metric Conversions
100
Find the area of this figure.
112 cm2
Area of square = bh
8 x 8 = 64
Area of Triangle = bh x 1/2
14 - 8 = 6 (base)
6 x 8 = 48
Sum: 64 + 48 = 112 cm2
100
What is the measure of the missing angle?
123o
97 + 75 + 65 = 237
360 - 237 = 123o
100
Each magnet distributed to a class of 28 students weighed 5/16 of a pound. How much did all the magnets weigh?
8 3/4 lbs
28/1 x 5/16 = 140/16 = 8.75
100
Cheryl is moving to a new house. Her old house is 3 kilometers from her new house. How many meters is the old house from the new house?
3000 m
200
The base of a cube has a perimeter of 12 cm. What is the volume? (Remember to draw a picture and label it to help you).
27 cm3
12cm /4 sides = 3 cm per side
V = LWH: 3x3x3 = 27 cm3
200
What is the sum of the interior angles in a quadrilateral? Show your thinking with an equation.
180(n-2); 360o
180(4-2)
180(2) = 360o
200
Jared is helping Mr. Mann feed his goats. 60% of the goats are white. If 24 goats are brown, then:
a) What is the total number of goats?
b) What is the ratio of white goats to brown goats?
a) 60 goats
b) 3 : 2
60 % = 60/100 = 3/5 White (36 goats)
40 % = 2/5 Brown (24 goats)
200
Mary buys a reel of thread for sewing. There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in centimeters?
790 cm
300
What is the volume of the right solid?
360 cm3
V = LWH
V = 12 x 5 x 6
V = 360 cm3
300
What is the measure of angle b?
75o
180-105 = 75
300
Tony’s little brother got a $38 bike at a 40% discount.
a) How much money did he save?
b) What did Tony’s brother pay for the bike?
a) $15.20
b) $22.80
a) 38 x .4 = 15.20
b) 38- 15.2 = 22.80
300
John rode 2 kilometers on his bike. His sister Sally rode 3000 meters on her bike. Who rode the farthest and how much farther did they ride (answer in km)?
1 Km
400
A triangular prism in a sculpture garden stood 15 feet off the ground. The triangular base had a length of 4 feet and height of 2 feet. What is the volume of the sculpture? (Remember to draw a picture and label it to help you)
60 ft3
Area of base (1/2bh): 4 x 2 = 8/2 = 4
Volume (Area of base x height) 4 x 15 = 60
400
What are supplementary angles? Draw and label a picture to illustrate a supplement of 72o.
Supplementary angles add up to 180o.
The supplement angle of 72o is 108o.
180-72 = 108
400
Which of the following is a true statement? Explain.
a) b + b + b - 2 = 2 – 3b
b) 4c + 33 = c + c + c + c + 33
c) 2/5 x = 2/5 + 2/5
d) x = + + 4 = m + m + 4
b
400
Ruth wants to send a box of oranges to a friend by mail. The box of oranges cannot exceed a mass of 10 kg. If each orange has a mass of 200g, what is the maximum number she can send?
50 Oranges
500
What is the volume of the triangular prism in cubic meters?
66 cm3
Area of base (1/2bh): 4 x 3 = 12/2 = 6
Volume (Area of base x height) 6 x 11 = 66
500
What are complimentary angles? Draw and label a picture to illustrate a compliment of 23o.
Complimentary angles have a sum of 90o.
The complimentary angle of 23o is 67o.
90-23 = 67
500
a. What is the function of the table above?
b. Use the function to find w. Write the answer as a decimal.
a. y = 4x
b. 3.2
y = 4/1 x 4/5
y = 16/5 = 3 1/5
1/5 = 0.2
500
A box contains 4 bags of sugar. The total mass of all 4 bags is 6 kg. What is the mass of each bag in grams?
