Comparing Fractions, Decimals and Integers
Fraction Operations
Fraction, Decimal, Percent Conversions
Probability
Circles
100
0.5 ______ 2/5
0.5 > 2/5
100
At Ochoa Middle School, 1/8 of the band plays percussion. Out of the 1/8 who play percussion, 2/3 are boys. What fraciton of the band are boys who play percussion? Simplify your answer.
1/8 x 2/3 = 2/24 = 1/12
100
Convert 4/5 to a percent and decimal.
4/5 = 80% = 0.8
100
If Mrs. Johnson has 3 red cubes, 5 green cubes, and 2 orange cubes, what is the theoretical probability of drawing a green cube written as a fraction in simplest form, decimal, and percent?
5/10 = 1/2 = 0.50 = 50%
100
Find the area of a circle with a diameter of 8 in.
50.24 squared inches
200
Order the following numbers from least to greatest: 3/9, 0.8, -8, 2.5, 1/9
-8, 1/9, 3/9, 0.8, 2.5
200
The hiking trail is 9/10 mile long. There are 6 markers evenly posted along the trail to direct hikers. How far apart are the markers placed? Simplify your answer.
9/10 divided by 6/1 = 9/10 x 1/6 = 9/60 = 3/20 of a mile
200
Convert 48% to a decimal and fraction in simplest form.
48% = 0.48 = 12/25
200
Mrs. Johnson has a deck of 52 cards. There are four suits (clubs, spades, hearts & diamonds). What is the theoretical probability of drawing a card with a heart on it?
13/52 = 1/4
200
Find the circumference of a circle with a radius of 9 feet.
56.52 feet
300
LeBron James averages 27.1 points per game. Russell Westbrook averages 23.5 points per game. Kobe Bryant averages 27.9 points per game. Kevin Durant averages 28.0 points per game. And Kevin Love averages 26.0 points per game. Which player is leading the NBA in scoring? Rank them in order from first to fifth.
Kevin Durant Kevin Durant, Kobe Bryant, LeBron James, Kevin Love and Russell Westbrook
300
If each batch of chocolate chip cookies requires 2 1/3 cups of chocolate chips and Mrs. Johnson wants to make 3 1/2 batches, how many cups of chocolate chips will she need? Simplify your answer.
2 1/3 x 3 1/2 = 7/3 x 7/2 = 49/6 = 8 1/6 cups of chocolate chips
300
Convert 0.52 to a percent and fraction in simplest form.
0.52 = 52% = 13/25
300
Mrs. Johnson flipped a penny and got 16 heads and 14 tails. Determine the experimental probability for heads as a fraction in simplest form.
16/30 = 8/15
300
Find the area and circumference of a circle with a radius of 7 cm.
A= 153.86 squared cm C= 43.96 cm
400
Mrs. Johnson went running five times this week. On Monday, she ran 2.92 miles. On Tuesday, she ran 2 1/2 miles. On Wednesday, she ran 2.912 miles. On Thursday, she ran 2 miles. And on Friday, she ran 2 3/4 miles. On which day did she run the farthest distance? Order the days Mrs. Johnson ran from greatest distance to the least distance.
Monday Monday, Wednesday, Friday, Tuesday, Thursday
400
A cake recipe calls for 1 1/2 cups of butter. One tablespoon equals 1/16 cup. How many tablespoons of butter do you need to make the make?
1 1/2 divided by 1/16 = 3/2 divided by 1/16 = 3/2 x 16/1 = 48/2 = 24 tablespoons
400
Steve Nash makes 0.894 of his free throws. Convert this decimal to a percentage and fraction.
0.894 = 89.4% = 894/1000
400
Mrs. Johnson shot 3 out of 6 free throws on Monday. On Wednesday, she made 4 out 5 free throws. Determine the experimental probability of Mrs. Johnson making a free throw as a fraction. Then determine the theoretical probability as a fraction.
Experimental Probability = 7/11 Theoretical Probability = 1/2
400
Captain Jack Sparrow found a treasure in the center of the island. He determined that the distance from the shore of the island to the buried treasure was 9 miles. Find the distance around the area of the circular island. Then determine the size of the entire island.
C = 28.26 miles A = 254.34 squared miles
500
In the NBA, each player's field goal percentage is tracked. That means a person keeps track of how many shots each players takes and how many of those they made. Blake Griffin averages 0.546, Dwight Howard averages 57.3%, LeBron James averages 53/100, and Andrew Bynum averages 0.558. Order players by the highest field goal percentage to the lowest.
Dwight Howard, Andrew Bynum, Blake Griffin, and LeBron James
500
Mrs. Johnson bought 11 2/3 yards of material to make chair cushions. She cut the material in pieces 1 3/4 yards long to make each cushion. How many complete cushions can Mrs. Johnson make?
11 2/3 divided by 1 3/4 = 35/3 divided by 7/4 = 35/3 x 4/7 = 140/21 = 6 14/21 So Mrs. Johnson can make 6 complete cushions.
500
The Chicago Bulls have won 48 games and lost 16 games. Find the Bulls winning fraction in simplest form, decimal, and percentage.
48 wins/64 total games = 0.75 = 75%
500
Kevin Durant has made 428 free throws out of 498 attempts. 1. Determine the experimental probability of Kevin Durant making a free throw as a fraction. 2. Find Kevin Durant's free throw percentage, then convert it to a decimal.
P(Kevin Durant making a free throw) = 428/498 428/498 = 0.859437 = 85.94%
500
If a circle has an circumference of 40.82 cm, determine the diameter of the circle.
40.82 = 3.14 x d divide both sides by 3.14 40.82/3.14 = d 13 = d