Ratios
Dividing Fractions
Decimals and Fractions
Expressions & Equations
Geometry
Statistics
100
There are 3 red apples and 2 green apples in a basket.
What is the ratio of red apples to green apples?
3 to 2 (or 3:2)
100
You have 1 whole chocolate bar. Each piece is 1/2 of the bar.
How many 1/2 pieces can you make?
2 pieces → 1 ÷ 1/2 = 2
100
21.5 + 1.4
22.9
100
Write an expression for “5 more than 8.”
8 + 5
100
What is the formula for the area of a rectangle?
Area = base × height
100
The scores on a quiz are: 7, 8, 6, 9, 10
What is the mean?
(7 + 8 + 6 + 9 + 10) ÷ 5 = 40 ÷ 5 = 8
200
A class has 8 boys and 12 girls.
What is the ratio of boys to the total number of students?
8 to 20 → Simplified: 2 to 5 (or 2:5)
200
How many 1/4s are in 3/4?
3,
Since 3/4 = 1/4 + 1/4 + 1/4
200
3.67 x 9
33.03
200
Write an expression for “3 less than twice a number x.”
2x - 3
200
What is the volume of this rectangular prism?
(length x width x height)
60 units cubed
length x width x height, (5 x 3 x 4) units cubed
200
Find the Median and the Mode
Data: 5, 2, 3, 5, 4, 2, 5
Answer:
Put in order: 2, 2, 3, 4, 5, 5, 5
Median = 4
Mode = 5
300
If 2 pencils cost $1.
How much would 6 pencils cost if the cost is proportional?
$3 (Since 2:1 = 6:3)
300
What is 3/5 divided by 3/4?
(Keep change flip)
4/5
300
Four friends equally share a pizza. What fraction of the whole pizza does each friend get?
(hint: first number should be the total amount you are starting with)
1/4 of the pizza
300
Evaluate the expression 4x + 2 when x = 5.
22
4(5) + 2 = 20 + 2 = 22
300
A triangle has a base of 7 inches and a height of 4 inches.
What is the area of the triangle?
14 units squared
Area of a triangle is (base x height) divided by 2
300
The daily high temperatures for a week were:
72°F, 68°F, 75°F, 70°F, 78°F, 74°F, 69°F
What is the range?
78 − 68 = 10°F
400
The ratio of cats to dogs at the shelter is 3:4.
If there are 12 cats, how many dogs are there?
16 dogs
(3:4 = 12:x → 12 ÷ 3 = 4, so 4 × 4 = 16)
400
A recipe uses 2/3 cup of sugar per cake.
You have 4 cups of sugar.
How many cakes can you bake?
6 cakes → 4 ÷ 2/3 = 4 × 3/2 = 12/2 = 6
400
What is 4 3/4 as an improper fraction?
19/4
400
Solve for x when, 3x = 12
Divide both sides by 3
Then x = 4
400
A figure is made by joining two rectangles.
One rectangle is 5 cm by 3 cm.
The other is 4 cm by 3 cm.
What is the total area of the figure?
Area = (5 × 3) + (4 × 3) = 15 + 12 = 27 cm²
400
A student recorded the number of books read by classmates in a month:
3, 4, 4, 5, 5, 6, 7, 25
Which value is an outlier?
25 (much higher than the rest)
500
A recipe uses flour and sugar in the ratio 5:3.
If there are 6 cups of sugar,
how many cups of flour are used?
10 cups of sugar
500
How many 3/4-cup servings are in 2 1/4 cups?
3 servings → Convert 2 1/4 to 9/4:
9/4 ÷ 3/4 = 9/4 × 4/3 = 36/12 = 3
500
What is 2/9 of 27
6
500
Noah is saving money to buy a bike. He already saved $20 and plans to save $5 each week.
If the bike costs $65, how many weeks will it take for Noah to have enough money?
x=9 weeks
500
Brian measure the angle of the sides of a right triangle with the base of 4 in and a height of 5 in, and measures a rectangle with a length of 4 in and a width of 5 in. What is the total area of the two figures?
Area of a triangle is 1/2 (base x height)
Area of a rectangle is base x height.
So the total are is 1/2(4 x 5) added to 4 x 5, or
10+20 = 30 inches squared.
500
Identify the Interquartile Range (IQR)
The number of minutes students read each day:
15, 20, 25, 30, 35, 40, 45
Answer:
Q1 = 20, Q3 = 40 → IQR = 40 − 20 = 20