Numerical Reasoning
Convert 4/5 to a decimal and a percent.
.8 and 80%
-3x+12=48
-12
Tony's bill at the restaurant was $9.52. If he wants to leave a 20% tip, how much would his TOTAL bill be?
$11.42
What are the cross sections of a cylinder that is cut parallel to the base? Perpendicular to the base? Cut diagonally from top left to bottom right?
parallel- circle
perpendicular- rectangle
diagonal- ellipse
Decide if the scenarios are valid random samples.
1) Survey every 10th person leaving a Dallas Cowboys game to find out what is the most popular football team in America.
2) Survey every 10th person at Walmart to find out which laundry detergent is most popular.
1) NOT RANDOM
2) RANDOM
Compare −3.2 and −2.8 using a number line. Which is greater and why?
-2.8 is greater
A rectangle has length 3(x+2) and width 2. Write an expression for the perimeter of the rectangle in simplified form.
6x+16
A recipe calls for 2 cups of flour for every 3 cups of sugar. Create a table showing the amounts of flour and sugar needed for 1, 2, 3, and 4 batches of the recipe. Is this relationship proportional?
x, y
1, 1.5
2, 3
3, 4.5
4, 6
If two supplementary angles have measures of (2x)° and (x + 30)°, estimate the value of x.
50
Josh has a six sided dice. If he rolls it 60 times, how many times should Josh expect to roll a six?
10
The submarine dives 2 feet per second. What is its depth after 20 seconds?
-40 feet
A salesperson earns $50 per week plus $3 per sale. They want to earn at least $100 this week. Write and solve an inequality to find the minimum number of sales needed.
at least 17 sales
x > 17
The scale on a road map is 1in = 40 miles. What is the actual length of a road that measures 2.5 in on the map?
100 miles
A swimming pool is shaped like a rectangular prism with dimensions 25 meters long, 10 meters wide, and 2 meters deep. If the pool is being filled at a rate of 50 cubic meters per hour, how long will it take to fill the pool completely?
10 hours
Emily surveyed 60 students out of 420 students who attend Westside Middle School. Fifty one of the students surveyed participate in some sort of extra curricular activity. According to the results, about how many students at WMS participate in extra curricular activities?
357 students
Find the distance between −4.5 and 2.3 on a number line. Draw a diagram to support your work.
6.8
A store offers two different pricing plans: Plan A charges 5x+10 dollars for x items, and Plan B charges 3(x+2)+4x dollars for x items. Determine if these plans are equivalent. If they are not equivalent, explain which plan is more expensive and why.
When x > 2, Plan B is more expensive
Part A
A store sells notebooks at a constant price. If 4 notebooks cost $12, write an equation that represents the relationship between the number of notebooks (n) and the total cost (c).
Part B
Then use your equation to find how many notebooks you can buy with $45.
c=3n
15 notebooks
A cylindrical storage tank has a radius of 6 feet and a height of 15 feet. The tank currently contains water to a depth of 10 feet. How much more water can the tank hold?
565.2 ft2
There are 7 girls and 2 boys on the WMS ping pong team. There are 4 girls and 6 boys on the EMS ping pong team. A student from each team is chosen to compete against each other. What is the probability that both students chosen will be boys?
12/90 or 2/15 or 13%
Barb had $10 in her bank account. She deposited $32. Then, she used her debit card to pay $54 for dinner. What is the new balance of her bank account?
-12
Mel cleans houses. She earns $7.50 every hour that she dusts, and $10 every hour that she scrubs floors. She scrubbed floors for one and a half hours and dusted for 2 hours. How much money did Mel earn?
$30
Ann's paycheck was $200 for working 20 hours. Bob's paycheck was $105 for 10 hours. Cal's paycheck was $184 for 16 hours. Who makes the LEAST per hour? Who makes the MOST per hour?
Least= Ann
Most= Cal
A gift box is a rectangular prism with dimensions 10 cm × 8 cm × 6 cm. You want to wrap it with paper. Calculate the surface area needed and determine how much wrapping paper you would need if you want to allow an extra 10% for overlapping.
413.6 cm2
Design a fair spinner with 8 sections such that the probability of landing on section A is 1/2, the probability of landing on section B is 1/4, and the probability of landing on section C is 1/4.