Ratios&Rates
What is the unit rate for 12 miles in 3 hours?
4 miles per hour
Which integer is 5 units to the left of 2 on the number line?
-3
What is 1/2 + 1/3? Give the answer in simplest form.
5/6
Find the area of a right triangle with base 6 units and height 4 units.
12 units2
Is "How many siblings does each student in class have?" a statistical question? Explain briefly.
Yes. It expects variability across students.
If 3 shirts cost $18, how much does 1 shirt cost? Show the unit rate.
$6.00
Plot the point (−3, 4). Which quadrant is it in?
Quadrant II
Compute (3/4) ÷ (1/8).
KCF
Keep, Change, Flip
6
Find the volume of a rectangular prism with length 3 ft, width 2 ft, and height 4 ft.
24 ft3
Given data set: 2, 3, 3, 5, 8 — what is the mean?
4.2
A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 9 cups of sugar?
6 cups of flour
Order these from least to greatest: −2, 0, −5, 3.
-5,-2,0,3
Sarah has 2/3 of a yard of ribbon. She needs pieces that are 1/6 yard long. How many pieces can she cut?
4 pieces of ribbon
KCF
A triangular garden has base 5 m and area 15 m². Find its height.
Use area = 1/2 × base × height. So 15 = 1/2 × 5 × h → h = (15 × 2) ÷ 5 = 30 ÷ 5 = 6 meters.
Create a simple dot plot for these ages: 10, 11, 10, 12, 11. Then identify the mode.
Dot plot: 10:•• 11:•• 12:• — Mode = 10 and 11 (tie).
Convert 45% to a fraction in simplest form.
45/100 = 9/20
Explain why −(−7) = 7.
Because the opposite of −7 is 7; negating a negative gives the positive.
Multiply: 5/6 × 3/10. Give simplest form.
15/60=1/4
A rectangular prism has length 4 ft, width 2.5 ft, and height 3 ft. Find its volume. Give units.
Volume = length × width × height = 4 × 2.5 × 3 = 30 cubic feet.
A spinner has equal sections numbered 1–4. What is the probability of spinning an even number? Give as fraction.
Even numbers: 2 and 4 → probability = 2/4 = 1/2.
A car travels 150 miles on 6 gallons of gas. At the same rate, how many gallons are needed for 375 miles?
15 gallons
On a coordinate plane, point A is at (4, −2) and point B is at (−4, −2). What is the distance between A and B? (Use reasoning about coordinates.)
8 units
A rectangular strip has area 1/2 square mile and length 3/4 mile. What is its width? (Show work or state the fraction.)
width = area ÷ length = (1/2) ÷ (3/4) = (1/2) × (4/3) = 2/3 mile.
A triangular prism has triangular base area 6 cm² and prism length 8 cm. Find the prism’s volume and state the formula used.
Formula: Volume = (area of triangular base) × (prism length). So Volume = 6 × 8 = 48 cubic centimeters.
Explain what measure of center (mean or median) is more appropriate when a data set has an outlier, and why (short explanation).
Use median when there is an outlier because median is less affected by extreme values; mean can be skewed.