Fractions, Decimals, and Percents
Geometry Basics
Equations and Expressions
Wild Card
Word Problems
100
What is 3/4 as a decimal and as a percent?
What is 0.75 and 75%
100
How many degrees are in a right angle?
90 degrees
100
Solve: 2x – 4 = 10
x = 7
100
You and 3 friends each order 2 scoops of ice cream. How many total scoops of ice cream are served?
8 scoops
There are 4 people total (you + 3 friends), and each gets 2 scoops:
4 x 2 = 8 scoops
100
At a school art show, the ratio of paintings to sculptures is 3 to 5.
If there are 45 sculptures, how many paintings are there?
27 Paintings
200
Simplify the fraction 18/27
What is 2/3
9 is the greatest common factor. Divide the numerator and denominator by the biggest number that goes into both.
18/9 = 2
27/9 = 3
200
What is the area of a rectangle with a length of 6 feet and a width of 3 feet?
18 square feet
200
This June, Andrew and Ben are on a challenge to earn as much money as they can in June to buy the new Nintendo Switch.
Let A = the average amount of money Andrew earns daily in June.
Let B = the average amount of money Ben earns daily in June.
Write an expression that shows the total amount of money they'll earn at the end of June.
30A + 30B
30 days x "A" - Average earned each day by Andrew
PLUS (+)
30 days x "B" - Average earned each day by Ben.
200
A number is multiplied by 3, then 6 is subtracted, and the result is 21. What was the original number?
9
Let x be the original number.
200
In Minecraft, it takes 4 wood planks to craft a crafting table, and each wood block gives you 4 wood planks.
If you have 16 wood blocks, how many crafting tables can you make?
16 Crafting Tables
300
Add 2.3 and 4.07
What is 6.37
2.30+
4.07
6.37
300
Find the volume of a rectangular prism with the following dimensions:
Length: 4cm
Width: 3cm
Height: 5cm
60 cm3
(60 cubic centimeters)
Area = L x W x H
= 4cm x 3 cm x 5cm
= 60 cm3
300
Solve:
x = 6
300
A mom and dad want to have 4 children. What is the probability that all 4 children will be boys?
1/2 x 1/2 x 1/2 x 1/2 = 1/16
To find the probability that all 4 children will be boys, start by recognizing that each child has a 50% chance of being a boy. Because each birth is an independent event, you multiply the probability for each child:
Multiply 0.5 (chance of first boy)
by 0.5 (second boy),
by 0.5 (third boy),
by 0.5 (fourth boy).
That gives:
0.5 × 0.5 × 0.5 × 0.5 = 0.0625
So, the probability is 0.0625, which is the same as 1 out of 16 or 6.25%.
To find the probability that all 4 children will be boys, start by recognizing that each child has a 50% chance of being a boy. Because each birth is an independent event, you multiply the probability for each child:
Multiply 0.5 (chance of first boy)
by 0.5 (second boy),
by 0.5 (third boy),
by 0.5 (fourth boy).
That gives:
0.5 × 0.5 × 0.5 × 0.5 = 0.0625
So, the probability is 0.0625, which is the same as 1 out of 16 or 6.25%.
300
A golfer hits a ball that lands on a hill sloping upward.
The hill rises 3 feet for every 12 feet of horizontal distance.
What is the slope of the hill in simplest form?
Then, express the slope as a decimal and percent grade (rounded to the nearest whole percent).
Slope Equals:
Decimal = 1/4 = 0.25
Percent Grade = 25%
Slope (Rise / Run) = 3/12 = 1/4
400
Multiply 2/5 x 3/4, and give your answer in simplest form.
3
10
2 x 3
5 4
Look for divisibility in the cross products to reduce from here first.
2 and 4 can be reduced to 1 and 2, respectively.
1 x 3 = 3
5 x 2 = 10
400
In a triangle, two angles measure 70° and 50°. What is the measure of the third angle?
60o
The sum of the interior angles of a triangle is always 180o
70o + 50o = 120o (Calculate the sum of known angles)
180o - 120o = 60o (Subtract this from 180o for missing angle)
400
Simplify the expression:
11x - 8
When simplifying 2(3x - 4) + 5x:
400
A shirt is marked 20% off its original price. After the discount, it costs $36. What was the original price?
$45
400
A store originally sold a bike for $240. It's now on sale for 25% off. What is the sale price?
What is $180
Step 1: Calculate the discount (240 x .25) = $60
Step 2: Subtract the discount from the original price = $240 - $60
Answer = $180
500
Divide 1.2 by 0.3.
4
500
A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume?
Use the formula v = πr2h
45π or 141.37 cm3
500
Solve:
x = 4
5x - 2 = 3x + 6
There are multiple ways to start, but let's start with subtracting 3x from both sides. What you do on one side of equation, you do on the other side of the equation.
500
A school has 240 students. 60% are girls. How many girls are there?
144 girls.
240 x 0.6 = 144
500
In Minecraft, each time you cast your fishing rod, there’s a 20% chance you'll catch a treasure item, a 30% chance you'll catch junk, and a 50% chance you'll catch a fish.
If you cast your fishing rod 40 times, how many fish should you expect to catch?
20 Fish
