Angle Relationships
Two angles are vertical angles. One is 45°. What is the other angle?
45°
What is the formula for volume of a rectangular prism?
V = lxwxh
What is the formula for circumference of a circle?
C = 2rPI or C = dPI
Scale: 1 cm = 5 ft
Drawing length = 3 cm
What is the real length?
15 ft
A shirt costs $20. There is a 10% discount. What is the discount amount?
$2
Two angles form a straight line. One angle is 110°. What is the other?
70°
What is the formula for surface area of a rectangular prism?
S.A. = 2(lxw + lxh + hxw)
What is the formula for area of a circle?
Area = rxrxPI
A real object is 20 ft long. Scale: 1 cm = 4 ft
What is the drawing length?
5 cm
A meal costs $30. You leave a 20% tip. How much is the tip?
$6
If opposite angles are formed by intersecting parallel lines, and one angle is 65°, what is its opposite angle?
65°
Find the volume of a rectangular prism: length = 4, width = 3, height = 5
60 units³
Find the circumference of a circle with diameter 10 cm (π ≈ 3.14).
31.4 cm
A scale factor of 2 is applied. A side was 6 cm. What is the new length?
12 cm
A $50 item has 8% tax. What is the total cost?
$54
One angle is (3x + 10)° and the other is (2x + 20)°.
3x + 10 + 2x + 20 = 90
5x + 30 = 90
5x = 60
x = 12
A rectangular prism has the following dimensions: Length = 8 cm, Width = 5 cm, Height = 3 cm. What is the surface area of the prism?
Surface Area = 2(lw + lh + wh)
= 2(8×5 + 8×3 + 5×3)
= 2(40 + 24 + 15)
= 2(79)
158 cm²
Find the area of a circle with radius 4 cm.
50.24 cm²
A drawing uses a scale of 1:10. A length on the drawing is 8 cm. What is the real length?
80 cm
A $80 jacket is 25% off. What is the sale price?
$60
Two angles form a linear pair (supplementary).
One angle is (4x – 15)° and the other is (2x + 45)°.
4x – 15 + 2x + 45 = 180
6x + 30 = 180
6x = 150
x = 25
A rectangular prism has dimensions 6 cm, 4 cm, and 3 cm. Find BOTH surface area and volume.
Volume = 72 cm³
Surface Area = 108 cm²
A circular garden has a radius of 7 m. What is the area and circumference?
Area = 153.86 m²
Circumference = 43.96 m
A rectangular room is 12 ft by 15 ft. A scale drawing uses 1 inch = 3 ft.
What are the dimensions on the drawing?
4 in by 5 in
A meal costs $45. There is 8% tax and a 20% tip (tip calculated BEFORE tax). What is the total cost?
Tax = $3.60
Tip = $9
Total = $57.60