Perfect Squares
Comparing and Ordering
Ratios, Unit Rate, Percent
Contextual Problems
Wild Card
100
Ayden has a square picture frame with an area of 256 square inches. What are the dimensions of the frame?
A. 64 inch by 4 inch
B. 16 inch by 16 inch
C. 14 inch by 14 inch
D. 32 inch by 8 inch
What is:
B. 16 inch by 16 inch
100
Which strategy can be used to compare 10−4 with 10−2?
A. 10−4 is larger because the exponent is closer to zero.
B. Larger negative exponents result in larger values because subtraction is applied.
C. Both values are the same because negative exponents do not affect the magnitude.
D. The smaller the negative exponent, the more times 1 is divided by 10, making the number smaller.
What is:
D. The smaller the negative exponent, the more times 1 is divided by 10, making the number smaller.
100
A local youth soccer league has 12 boys and 15 girls on a team. Which of the following represents the ratio of girls to the total number of players in simplest form?
A. 4:5
B. 5:4
C. 5:9
D. 4:9
What is:
C. 5:9
Total players = 12 + 15 = 27.
Ratio is 15:27, which simplifies to 5:9.
100
A recipe for a batch of cookies requires 2 3/4 cups of flour. If Sarah wants to make 2 1/2 batches of cookies, how many total cups of flour will she need?
A. 4 3/8 cups
B. 5 1/4 cups
C. 5 3/4 cups
D. 6 7/8 cups
What is:
D. 6 7/8 cups
2.75 x 2.5 = 6.875, which is 6 7/8
100
Kelly is analyzing the concentration of a chemical in a water sample. The lab report shows the concentration as 0.000045 grams per liter. To include this value in her scientific presentation, she needs to convert it to scientific notation. How would this number be written in scientific notation?
A. 4.5×10−5
B. 4.5×10−4
C. 4.5×105
D. 4.5×104
What is:
A. 4.5×10−5
200
Identify all numbers that are not perfect squares.
A. √175
B. √400
C. √3
D. √64
E. √289
F. √225
G. √2
H. √153
What is:
A. √175
C. √3
G. √2
H. √153
200
Place the following numbers in order from least to greatest.
53.2%
-8/5
2/3
-0.193
What is:
-8/5, -0.193, 53.2%, 2/3
200
A grocery store sells a 4-pound bag of Gala apples for $6.00. At this same rate, what would be the cost of a 10-pound bag of Gala apples?
A. $10.00
B. $15.00
C. $24.00
D. $60.00
What is:
B. $15.00
Unit rate is $6.00 / 4 = $1.50 per lb.
$1.50 x 10 = $15.00
200
A board is 8 1/4 feet long. A carpenter cuts off a piece that is 2 3/5 feet long. How much of the board is remaining?
A. 5 1/2 feet
B. 5 13/20 feet
C. 6 2/10 feet
D. 10 17/20 feet
What is:
B. 5 13/20 feet
Convert to common denominator (20):
8 5/20 - 2 12/20.
Borrow to get 7 25/20 - 2 12/20 =
5 13/20.
200
Which set of numbers contains only integers?
A. -4, 0, 1.5, 9
B. √25, -8, 0, 100
C. 1/2, 3, -10, 4
D. 3.15, -2, 5, 11
What is:
B. √25, -8, 0, 100
300
Which of the following represents 10−4 as both a fraction and a decimal?
A. 1/10,000 and 0.0001
B. 40/1 and −0.0004
C. 1/1,000 and 0.001
D. 1/40 and 0.04
What is:
A. 1/10,000 and 0.0001
300
Which list orders the numbers from greatest to least?
A. 
B. 
C. 
D. 
What is:
A.
300
Select the two scenarios that represent a unit rate.
A. A car travels 120 miles in 2 hours.
B. A baker uses 3 cups of sugar for every 1 cake.
C. A runner finishes a 5-kilometer race in 25 minutes.
D. An employee earns $18.50 for every 1 hour of work.
E. A printer produces 40 pages in 4 minutes.
What are:
B. A baker uses 3 cups of sugar for every 1 cake.
and
D. An employee earns $18.50 for every 1 hour of work.
A unit rate compares a quantity to one unit of another measure.
300
A submarine is at a depth of 40 1/2 feet below sea level. It descends an additional 15 1/4 feet. What is the submarine's new depth relative to sea level?
A. -55 3/4 feet
B. -25 1/4 feet
C. 25 1/4 feet
D. $55 3/4 feet
What is:
A. -55 3/4 feet
Start at -40 1/2.
Descending means subtracting:
-40 2/4 - 15 1/4 = -55 3/4.
300
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. A marble is selected at random, replaced, and then a second marble is selected. What is the probability that both marbles selected are blue?
A. 1/16
B. 1/22
C. 1/4
D. 9/144
What is:
A. 1/16
400
Which set contains only perfect squares?
A. 5,25,121,225,400
B. 1,8,27,64,125
C. 1,4,9,16,25
D. 2,4,6,8,10
What is:
C. 1,4,9,16,25
400
The table shows several countries and the portion of their population that is under age 15.
List the countries in order from least to greatest according to the portion of the population under age 15.
What is:
United States, Benin, Ethiopia, Chad, Uganda
400
Maya and her friends had lunch at a cafe. The subtotal for their food and drinks was $45.00. If they want to leave a 18% tip for the server, what is the total amount they will pay?
A. $8.10
B. $53.10
C. $54.00
D. $63.00
What is:
B. $53.10
Tip: 45 x 0.18 = $8.10. Total: 45 + 8.10 = $53.10.
400
A container of juice holds 12 3/4 cups. If one serving size is 3/8 cup, how many total servings are in the container?
A. 4 25/32
B. 13 1/8
C. 32
D. 34
What is:
D. 34
12 3/4 / 3/8 --> 51/4 x 8/3.
Simplify: 17 x 2 = 34.
400
A box contains 5 peppermint candies and 5 butterscotch candies. Sarah picks one candy, eats it, and then picks a second candy. What is the probability that she picks a peppermint first and a butterscotch second?
A. 1/4
B. 5/18
C. 5/19
D. 25/100
What is:
B. 5/18
500
What is the value of √196?
A. 16
B. 13
C. 14
D. 98
What is:
C. 14
500
Which comparison is true?
A. 2.54×106 > 3.87×106 > 4.25×104 > 6.47×104
B. 4.54×105 > 3.87×105 > 5.55×104 > 6.47×103
C. 2.45×103 < 2.54×103 < 2.55×103 < 2.35×103
D. 5.65×107 < 2.54×108 < 2.55×109 < 9.46×108
What is:
B. 4.54×105 > 3.87×105 > 5.55×104 > 6.47×103
500
A department store is having a sale where all winter coats are 30% off. The original price of a coat is $80.00. After the discount is applied, a 6% sales tax is added to the sale price. What is the final cost of the coat?
A. $24.00
B. $56.00
C. $59.36
D. $60.80
What is:
C. $59.36
Sale price: 80 x 0.70 = $56.
Tax: $56 x 0.06 = $3.36.
Total: $56 + $3.36 = $59.36.
500
A hiker starts at an elevation of 12 1/2 feet below sea level.
First, the hiker climbs up a hill that is 40.7 feet high.
Then, the hiker descends into a valley, dropping their elevation by 15 1/4 feet.
What is the hiker's final elevation?
A. 12.95 feet above sea level
B. 13.00 feet above sea level
C. 37.95 feet above sea level
D. 43.45 feet above sea level
What is:
A. 12.95 feet above sea level
-12.5 + 40.7 = 28.2
28.2 - 15.25 = 12.95
500
Two fair number cubes, each labeled 1 through 6, are rolled at the same time. What is the probability that the first cube lands on a 2 and the second cube lands on an even number?
A. 1/2
B. 1/4
C. 1/6
D. 1/12
What is:
D. 1/12