Ratios & Proportional Reasoning
A map shows 2 cm for every 5 miles. If two cities are 7 cm apart on the map, how far apart are they in real life?
Answer: 17.5 miles
Convert 7/8 to a decimal
Answer: 0.875
Simplify: 5(2 + 3)
Answer: 25
Find the area of a triangle with base 10 in. and height 6 in
Answer: 30 in²
Find the mean of: 10, 12, 14, 16, 18
Answer: 14
A recipe calls for 3 cups of flour to 4 cups of sugar. Write this ratio in all 3 forms (word, colon, and fraction).
Answer: 3 to 4, 3:4, 3/4
A student answered 18 out of 24 questions correctly. What percent is this?
Answer: 75%
Solve: 3x - 7 = 11
Answer: x = 6
Find the volume of a box: length = 3 cm, width = 4 cm, height = 5 cm
60 cm³
Find the median of: 3, 7, 8, 10, 12, 13, 14
Answer: 10
You jog 1.5 miles in 20 minutes. What is your speed in miles per hour?
4.5 mph (1.5/20 = 0.075 × 60)
What is 2 1/2 ÷ 3/4?
Answer: 10/3 or 3 1/3
Which inequality represents: "A number t is less than or equal to 12"
t ≤ 12
Find the surface area of a cube with side length 4 cm.
Answer: 96 cm² (6×16)
What is the range of: 2, 5, 9, 11, 13, 17?
Answer: 15
A store sells 8 apples for $3.60. What is the cost per apple?
Answer: $0.45
Write 0.375 as a fraction in simplest form.
3/8
Evaluate: 2x - 4 when x = 3
Answer: 2(3) - 4 = 2
A rectangle has an area of 72 cm² and length of 9 cm. Find the width
Answer: 8 cm
What does a box plot show about a data set that a histogram does not?
Answer: The spread (quartiles), median, and outliers.
If 5 pens cost $2.25, how many pens can you buy with $9?
Answer: 20 pens
A store is offering a 25% discount on a $48 item. What is the sale price?
$36.00
Write an expression for "Twice a number minus the sum of 4 and 3"
2x - (4 + 3) or 2x - 7
How many 3 cm cubes will fit in a rectangular prism that is 9 cm long, 6 cm wide, and 3 cm tall?
Answer: 18 cubes
Is this a statistical question: "How many minutes does each student in your class spend on homework?" Explain.
Answer: Yes, because the answer will vary and can be analyzed using data.