Decimals
.24 as a fraction (reduce as needed)
6/25
To solve:
24/100 (reduce by 4) = 6/25
Reduce this fraction: 48/64
3/4
To solve: divide the numerator and denominator by 16.
The scale of a map is 1 inch = 20 miles. How many inches would represent 100 miles?
5 inches
To solve:
1/20 = ?/100
1 x 100/20 = 100/20 or 5
0.1 as a percent
10%
To solve: .1 is in the 10ths place and therefore: 1/10 or 10%
Formula for the area of a circle
πr2 or π(d/2)2
3.46 + 0.007 + 24=
27.467
To solve: line up decimals and add.
Change this improper fraction to a mixed number: 21/9
2 1/3
To solve: 9 goes into 21 without going over 2 and 1/3 times. Don't forget the G-method should you get stuck.
It took Terry 4 ¼ hours to drive 200 miles. If he traveled at the same speed, how long would it take him to travel 800 miles?
17 hours
To solve:
4 1/4 / 200 = ? / 800
4 1/4 x 800 / 200 then reduce or cancel out leaving 4 1/4 x 4 = 17
What is 28% converted into a fraction (reduce if necessary)
7/25
To solve: 28/100 reduced down by 4 = 7/25
Formula for the volume of a cylinder
πr2h
3.14 x r2 x h
21.6 - 0.038=
21.562
To solve: line up decimals and subtract
7/8-1/4
5/8
To solve: #1 rule-find the common denominator! 8 is the LCD and resize the fractions.
It takes two hours for a train to travel 160 miles nonstop. What is the minimum time that it would take a bicyclist traveling four times slower to travel the same distance?
8 hours
To solve:
Train is going 80 MPH. 80/4 = 20 MPH
160 Miles at 20 MPH would take 8 hours.
What percentage of 600 is 750?
Answer: 125%
To solve: %/100 = 750/600...and therefore, 100x750/600, or 125%
Keith's parents want to carpet his bedroom. His bedroom is 12 feet long and 10 feet wide. The area of the room is the amount of space that the carpet would cover. How many square feet of carpet will they need to buy?
120 square feet
To solve: 12 x 10 is 120 ft2
4.36 x 1.2=
5.232
To solve: multiply as usual and for each space behind the decimals, move the decimal in the product answer.
3 5/6 x 4 2/3=
17 8/9
To solve: the #1 rule for multiplying fractions is to convert the mixed numbers into improper fractions, reduce down/cancel out, and then multiply across (numerator to numerator/denominator to denominator).
The height of the Statue of Liberty from foundation to torch is 305 feet 1 inch. Webster's American Mini-Golf has a 1:60 scale model of the statue. Approximately, how tall is the scale model?
5 feet 1 inch
to solve:
1:60 = N:305 1/12 ft.
305 1/12 /60 = 5 ft. 1 in.
A ticket to an evening movie at the Bijou costs $7.50. The cost of popcorn at the concession stand is 80% of the cost of a ticket. How much does popcorn cost?
$6
To solve: 80%/100% = P/$7.50 is the set up...then the equation reads $7.50 x 80/100P, leaving P=$6
Find the volume of the cylinder with a radius of 3 cm and a height of 5 cm. Give your answer to 1 decimal place.
141.3 cm3
To solve: Area of a circle is 3/14 x r2 (32 =9). So, 3.14 x 9 cm2 x 5 cm= 141.3 cm3
Wendy monitors the water level of a tray of water placed in the sun on a summer day. At the start of the morning, the water level is at 6.7 cm. The water level drops .3 cm every hour for the next three hours. Then, the water level drops .6 cm during each of the next two hours. What is the water level of the tray now?
4.6 cm
To solve: beginning at 6.7, subtract .3 cm for every three hours, 6.7 - .9 = 5.8 cm; then subtract from 5.8 cm 1.2 cm for the next time period, equaling 4.6 cm, the answer.
Sammy fills 2/7 of a bucket with sand. Jessie has an identical bucket, and fills 3/5 of it with sand. If Sammy pours all of the sand in his bucket into Jessie’s bucket, what fraction of Jessie’s bucket will be full?
31/35
To solve: 2/7 + 3/5 needs a LCD. 35 is the common denominator. Resize and add.
A lamppost casts a 36-foot shadow. A mailbox casts a shadow that is 9 feet long. If the lamppost is 12 feet tall, how tall is the mailbox?
27 feet
To solve: same labels/units *shadow, on top, *feet on top. Form setup to read 36/12 = N/9, with the equation reading 36 x 9 / 12N. Reduce or cancel out. 27 is your answer
Of 9,125 patients treated in a certain emergency room in one year, 72% were male. Among the males, 3 out of 5 were under age 25. How many of the emergency room patients were males age 25 or older?
2,628
To solve: use set up to find # of males-
STEP 1: 72%/100% = M/9125...equation looks like 72 x 9125/100 OR .72 x 9125=6570 *males
STEP 2: 3/5 of 6570 are under 25. Make a ratio that reads HOW MANY MALES ARE OVER 25 (2/5 of 6570) and solve for the 2 by multiplying by 1314 (6570/5 = 1314) to get 2628!
A circle has a diameter of 12 cm. Calculate the area.
113.04 cm2
To solve: Area = 3.14 x r2 or 3.14 x62
3.14 x 36 = 113.04 cm2