Integers, Fractions Decimals and Percents
1.) Sara and a group of friends were scuba diving and all got separated. Sara was 12.055 m below sea level, Erica was 10.80 m below sea level, Skyler was 13.01 m below sea level and Josh was 15.21 m below sea level. Who is the closest to the surface of the water?
A. Sara
B. Skyler
C. Erica
D. Josh
2.) At the track meet, Nicholas improved his time in the 200 meter race by -2.34 seconds. Logan also improved his time but not by as much as Nicholas did. What number might represent the amount by which Logan improved his time?
A. -3.45
B. -4.57
C. 2.03
D. -1.23
3.) Which of these numbers is the least?
A. -2/3
B. -0.55
C. ¼
D. 1.6
4,) Jason had $12.40 in his pocket. He bought headphones for $2.50, batteries for $1.95, and a pack of gum for $0.72. How much money did Jason have left after making these purchases?
A. $7.23
B. $17.57
C. $9.90
D. $7.95
5.) Alexis goes hiking up a hill with an outdoor group. The elevation of the hill above sea level is marked along the trail. They start at 8 feet below sea level. Then they hike up 51 feet. At the end of the hike, how many feet are they above sea level?
- 59 feet
- -59 feet
- -43 feet
- 43 feet
6.) On the stock market, four companies had stock price changes of , , , and 1.5 points. List these numbers in order from least to greatest.
A.) , , , 1.5
B.) 1.5, , ,
C.) , , , 1.5
D.) , , , 1.5
7.) A recipe that makes 1 dozen cookies requires 2 cup of sugar. Shawna wants to make 3 dozen cookies. How many cups of sugar will she need?
A ½ cups
B 4 cups
C 6 cups
D 3 cups
8.)
9.) There are four students reading a book in a class. Jenny has completed ¼ of the book, Danna has completed 9% of the book, Jose has completed 0.14 of the book, and Talia has completed 1/3 of the book. Which of the following lists the students in order from least to greatest by the amount of the book they completed?
F Jose, Danna, Jenny Talia
G Talia, Jose, Jenny, Danna
H Danna, Jose, Jenny, Talia
J Danna, Talia, Jenny, Jose
Irrational Numbers
1.) Mr. Harrington wrote the four inequalities with irrational numbers on the board. Which of the inequalities is true?
A. C.
B. D.
2.) The formula can be used to find the temperature in degrees Celsius of a certain chemical that is being heated for n minutes. What is the approximate temperature of the chemical after it has been heated for 5 minutes?
A. 13°C C. 12.4°C
B.15°C D. 150°C
3.) The sum of is between which two numbers?
A. 7 and 8 C. 9 and 10
B 8 and 9 D. 19 and 20
4.) List the following numbers from least to greatest.
, , ,
A. , , , C. , , ,
B. , , , D. , , ,
5.) The area of a square is 93 square meters. Which best represents the length of one side of the square?
A. 5.3 m C. 9.1 m
B. 9.7 m D. 7.8 m
Scientific Notation
1.) What is 4.209 X 105 in standard notation?
A. 420900000
B. 0.0004209
C. 0.00004209
D. 420900
2.) Which of these numbers if the greatest?
A. 5.34 X 106
B. 5.63 X 102
C. 3.87 X 106
D. 5.63 X 10-2
3.) A molecule measures approximately 0.000302 grams. How is this number expressed in scientific notation?
A. 30.2 X 105
B. 302 X 106
C. 3.02 X 104
D. 3.02 X 10-4
4.) The diameter of a barium atom is 0.0000004346 millimeters. What is the diameter of a barium atom expressed in scientific notation?
a. mm c. mm
b. mm d. mm
5.) In scientific notation, Pluto’s average distance from the Sun is kilometers. Which of these is ?
A. 5,900,000 C. 5,900,000,000
B. 590,000,000 D. 59,000,000,000
6.) The average distance from Earth to the sun is about 7.5 ×107 miles. The average distance from Mars to the sun is about 2.3 ×108 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?
A. 79,000,000 mi
B. 52,000,000 mi
C. 305,000,000 mi
D. 155,000,000 mi
Select Correct Operation and Order of Operations
1.) Which order is correct to get a solution of 45?
A. 12 x (3 + 32 )
B. (12 x 3 ) + 32
C. 12 x (3 + 3)2
D. 12 - 3 + (32)
2.) Gracie and her friends went to lunch and bought 3 candies for $0.75 each, 3 drinks for $1.39 each, and 3 burgers for $2.25. Which equation can be used to find c, the total cost of their purchase?
A.) c= (3+3+3)(0.75+1.39+2.25)
B.) c= 3(0.75) + 3(1.39) + 3(2.25)
C.) c= 3(.075) + 1.39 +2.25
D.) c= 3 + 0.75 + 3 + 1.39 + 3 + 2.25
3.) A set of parentheses is missing from the expression below. Which of the following expressions has the parentheses in the correct place for the expression to equal 18?
17 + 8 – 3 X 4 +5
A.) 17 + 8 – 3 X (4 +5)
B.) 17 + 8 – (3 X4) + 5
C.) (17 + 8) – 3 X 4 + 5
D.) 17 + (8 – 3) X 4 + 5
Reasonableness
1.) Jessica makes between $9.50 and $11.00 per hour depending on the number of tips she makes. Which of the following is a reasonable amount of money Jessica would make during a 50-hour work week?
A. $21
B. $100
C. $110
D. $500
2.) This chart shows the average speed of various animals in feet per second.
Animal Rate in Feet per Second
Racehorse 53
Ostrich 64
Cheetah 97
Antelope 83
Based on this data, what is a reasonable amount of feet an animal can run in 4 minutes?
a. Between 12,000 and 24,000
b. Between 50 and 100
c. Between 15,600 and 19,200
d. Between 1,000 and 5,000
3.) The average teenager needs about 2,400 calories per day. Teenage athletes in serious training may need up to 40% more calories each day. Assuming the athletes eat, per day, three high calorie meals and two large snacks, smaller in calories, which is the most reasonable number of calories for a teenage athlete to plan for a snack?
a.) 40
b.) 290
C.) 850
D.)1,250
4.) A pool 7.5 feet deep is to be drained using a small hose. The hose can drain 0.5 feet of water every hour. What is a reasonable time it will take to drain the pool, if it starts out completely full?
A. 3.75 hours C. 7 hours
B. 8 hours D. 15 hours
5.) Cullen paid $13.85 for a box of cards and $0.47 each for 12 stamps. What is a reasonable total cost, in dollars and cents, of the box of cards and the stamps?
- $20
- $13.39
- $40
- $30
Pythagorean Theorem
1.) A telephone pole is help by a support wire as shown in the diagram below. Approximately how long is the wire?
A. 6 ft C. 16 ft
B. 11 ft D. 130 ft
2.) A 13-foot ladder is leaning against the side of a building. The bottom of the ladder is 5 feet from the wall. How many feet above the ground does the ladder touch the wall?
A 16 ft
B Ö384 ft
C 12 ft
D Ö416 ft
3.) A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
A 9 ft
B 11 ft
C 6 ft
D 14 ft
4.) In the drawing below, the dashed line segment represents the distance across a pond. What is the actual distance, in yards, across the pond?
A. 15 inches
B. 21 yards
C. 45 yards
D. 15 yards
5.) Which group of three squares will form a right triangle when joined at their vertices?
6.) Leland swam from the dock east 13 meters. He turned and swam another 5 meters, as shown in the diagram below. What is the value of x, the distance Leland swam to return to the dock?
A 36 m
B 12 m
C 18 m
D 8 m