Ratios, rates and percentages
What is 2% as a decimal?
a) 0.2
b) 2
c) 0.02
d) 0.002
c) 0.02
Solve for x:
24 = x + 15
24 (-15) = x + 15 (-15)
x = 9
Check: 9+ 15 = 24
BONUS!
Name all 6 ways we can categorize triangles!
(100 points EACH!)
Based on angles
- acute
- obtuse
- right angle
Based on side lengths
- scalene
- isosceles
- equilateral
BONUS! Before you input your data into a bar graph, what are 5 important elements you must have? (100 points for each!)
- title
- x-axis scale/categories
- x-axis label
- y-axis scale/categories
- y-axis label
If Mr. Chiu watches 2 movies every month, how many movies would he watch in a year?
2 movies x 12 months = 24
Therefore Mr. Chiu watches 24 movies a year
Solve for x
33 = x33 = 3 x 3 x 3 = 27
If the measurement of one of the angles in a right triangle is 40 degrees, what is the measurement of the other angle?
Sum of all angles in a triangle is 180 so:
180-90-40 = 50
Therefore the last angle is 50 degrees.
If there are 2.2 pounds in a kilogram, how much does a 20 kilogram brick weigh in pounds?
1 kg = 2.2 lbs.
x20
20 kg = 44 lb
Therefore the brick weighs 44 lbs.
What is the percentage of months in the year that start with the letter J?
3 (January, June, July) out of 12 months is one quarter of all the months or 25%
Therefore 25% of the months start with the letter J.
If a car is driving at 20 km / hr, what would be the algebraic expression for its speed in relation to the distance travelled? (Let T represent time and D represent distance)
a) T = 20D
b) D = 20T
c) D = 20 - T
d) T = 20 + D
b) D = 20T
Bonus (for 100): How far did the car travel in 3 hours?
D = 20T
D = 20(3)
D = 60
Therefore the car travelled 60 km.
What is the perimeter of a rectangle that has a length of 4mm and a width of 6mm?
P = 4 + 4 + 6 + 6
P = 20
Therefore the perimeter is
...
Free 300 points
(You're welcome)
If student A is working a part time job that pays $15 an hour and gets a raise of 2% every year, what would be their hourly pay after working for 4 years?
2% of $15 is 0.3 or 30 cents
so after 3 years: 0.3 x 4 = $1.20
15.00 + 1.20 = 16.2
Therefore, the hourly rate would be $16.20.
Solve for x:
2x + 22 = 8
2x + 22 = 8
2x + 4 = 8
2x + 4 (-4) = 8 (-4)
2x (÷2) = 4 (÷2)
x = 2
What are the side lengths of a cube if the volume is 64 cm3?
Volume = L x W x H (L = W = H)
64 = L x W x H
64 = 4 x 4 x 4 (or cube root of 64)
Therefore the side lengths are 4cm.
If 0 in binary number is 0, and 1 in binary number is 1, what is the binary number for 2?
The binary number would be 10.
What is the ratio of total students to right-handed students based on this information:
- total students:30
- 10% of students are left-handed
10% of 30 is 3 so 3 students are left handed.
Therefore the ratio of total students to right-handed students is 30:3 or 30 to 3.
If a pizza costs $10 and an additional 50 cents per topping, what would the algebraic expression be for total cost? (Remember to define your variables)
Let x represent number of toppings and T represent total cost.
12 = 0.5x + 10
Bonus (for 100 points): How many toppings would a pizza that costs $12 have?
12 (-10) = 0.5x+10 (-10)
2 (÷0.5) = 0.5x (÷0.5)
4 = x
What is the circumference of a circle that has a radius of 4 cm
C = 2(pi)(r)
C = 2(3.14)(4)
C = 25.12
Therefore the circumference is around 25.12 cm.
You see the following code on scratch that is supposed to draw a triangle. What is the error with this code and how would you fix it?
When start
Pen down
Repeat 3 times
> move 10 steps
> turn 60 degrees right
Turning 60 degrees to the right would not be big enough of a turn to complete the triangle, you would have to turn 120 degrees.