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Day 37 CW - 8.4: Formulas

Total questions: 14

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

 a2+ b2 = c2a^2+\ b^2\ =\ c^2  

The Pythagorean Theorem applies to a right triangle. It can be written as 


 c = a2 + b2c\ =\ \sqrt{a^2\ +\ b^2}  

where a and b are the lengths of the legs and c is the hypotenuse. Find the measure of the hypotenuse when the legs measure 5 and 12.



(a)  

2.

Convert 25 degrees Celsius into Fahrenheit using the formula where C stands for the degrees Celsius.

 F = 1.8C + 32F\ =\ 1.8C\ +\ 32  

a)

57 degrees

b)

58 degrees

c)

77 degrees

d)

46 degrees

3.

The formula below gives the time taken to roast a chicken:

T = 2M + 0.5

where T = time taken in hours, M = mass in kg. Find the time taken to roast a chicken with a mass of 3kg.

a)

6.5 hours

b)

23.5 hours

c)

5.5 hours

d)

5 hours

4.

Using the formula 

 V=\frac{\pi r^2h}{3} 
  find the volume of this figure when r = 4.5 and h = 20. What is its volume?

a)

 V=424.12\ mm^3  

b)

 V=540\pi\ mm^3  

5.

Use the formula

V=\frac{4}{3}\pi r^3 
to find the volume of the figure when r=2.8. What the volume?

a)

 V=91.95\ m^3 

b)

 V=53.75\ m^3  

6.

Use the formula  b1=13b_1=13   to find the area of the figure when ,  b2=38b_2=38  and   h=32.7h=32.7  . What is its area?

a)

A=815.68 m2A=815.68\ m^2  

b)

A=833.85 m2A=833.85\ m^2  

7.

Use the formula SA=\frac{1}{2}lp+B to find the surface area of the figure when l=7.4, p=20 and B=25. What is its surface area?

a)

SA=185\ in.^2

b)

 SA = 99 in2SA\ =\ 99\ in^2  

8.
Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?
a)
Increase 24%
b)
Increase 19%
c)
Decrease 24%
d)
Decrease 19%
9.
One week, 72 people got a speeding ticket. The next week, only 36 people got a speeding ticket. What is the percent of change in the speeding tickets?
a)
Increase 50%
b)
Decrease 50%
c)
Increase 1%
d)
Decrease 1%
10.
Ann works in a supermarket for $10.00 per hour. She received a raise to $12.00. What is the percent of change in her hourly wage?
a)
Increase 16.67%
b)
Decrease 16.67%
c)
Increase 20%
d)
Decrease 20%
11.

A video game was $60 at Target in December. Now its costs $45. What was the percent decrease in price?

a)

15%

b)

30%

c)

25%

d)

50%

12.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
13.

Mrs. Brock has 35 students in her science class. If her class increases to 42 students next year, what will be the percent of change?

a)
20%
b)
75%
c)
93%
d)
33%
14.
The Polar Express movie is $12 and it will be on sale for $8.What is the percent of change if the cost decreased $4?
a)
15%
b)
33%
c)
10%
d)
32%