Math Teas Study Guide
1. According to the data shown on the picture, which of the following describes the relation between the two variables? A. The two variables have positive covariance. B. The two variables have negative covariance. C. The two variables are inversely related.D. The two variables are independent. 2. On the picture, the data presented are: the weight of a car and its mileage. Which of the following is true? A. The two variables have positive covariance. B. The two variables have negative covariance. C. The two variables are directly related.D. The two variables are independent. 3. In the following table, do the variables have positive covariance, negative covariance, or they are independent? First variable a) The time required for a trip b) The price of a pizza c) Years of experience d) Number of hours spent studying Second variable The speed you drive at The diameter of the pizza SalaryNumber of mistakes on the test Your answer
. A; 2. B; 3. a) negative, b) positive, c) positive, d) negative.
1. A medical assistant earns $500 per 40-hour workweek, and he gets paid for overtime work at a rate of $18 per hour. How much did he earn last week if he worked 48 hours? 2. If a bottle of cough syrup contains 12 ounces of medication, how long will it last if an adult dose is 34 ounce every 4 hours? 3. A physician orders a patient to have no more than 400 units of a particular medication in 1 day. However, the patient can have a little less than 400 units if necessary. In stock are containers that hold 75 units of medicine. If the containers cannot be split, how many containers should be administered to this patient to come as close to 400 units as possible? How many units will the patient receive? 4. An owner of a garden plot, which is 30 feet long and 24 feet wide, wants to pave a path along its border. If he wants the path to be a two feet wide and uses square slabs with a side of one foot, how many slabs does he need to buy? 5. A cake recipe calls for 1 3 cups of sugar. A caterer needs to make 25 cakes. How many 15-cup packages of 4 sugar does he need to buy?
1. $644; 2. 64 hours or 2 2 days; 3. 5 containers, 375 units; 4. 200 slabs; 5. 3 packages. 3
1. After Ann had pumped 5.0 gal of gasoline, the display showing the price read $11.60. When she finished pumping the gasoline, the price display read $29.00. How many total gallons did she pump? 2. The distance between Singapore and Tokyo is 3300mi. On a map this distance is represented by 4.2 in. The actual distance between Mexico City and Cairo is 7700 mi. How far apart are they on the same map? 3. According to the directions on a bottle, for routine floor-cleaning, 14 cup of cleaner should be used for each gallon of water. How much cleaner should be mixed with 10 1 gal of water? 2 4. If 2 lb. of fertilizer will cover 150 sq. feet of lawn, how many pounds would be needed to cover 480 sq. feet? 5. There are 140 calories per 30 g of a particular cereal. How many calories are in a 48 g serving? 6. A salt-water fish tank requires 3 ounces of salt for every 5 gallons of water. How many ounces of salt are needed for a 75-gallon tank?
1. 12.5 gallons; 2. 9.8 in.; 3. 2 5 cups; 4. 6.4 lb.; 5. 224 calories; 6. 45 ounces.
1. Which of the following best describes the distribution portrayed on the graph? A. Bell-shaped B. UniformC. Bimodal D. Normal 2. Which of the following best describes the distribution portrayed on the graph? A. UniformB. Skewed left C. Skewed right D. Normal 3. For the given list of numbers, Find:a) mean b) median c) mode d) range e) outliers 10, 5,7,8,8,4,8,9,8,9,1,8,7,9,7 4. Which of the following describes the trend of the data portrayed on the graph?A. IncreasingB. Decreasing C. StableD. No trend
1. C; 2. a) Tuesday, b) Thursday, c) 1.75 cakes/day, d) 4.
1. Which of the following estimates the answer to 232 231 A. 224 B. 123 231.5 ? 1.728 23.7 2 C. 12 200 D. 220 2. Round the numbers in the table: Round this number to ones 2 15 133 7 205 9 8 15 27 4 Your answer 3. Round the numbers in the table: Number Round to this place 237.28 Tens237.28 Tenths 225,731 Thousands 0.13514 Thousandths 0.13514 Ones Your answer 4. Round the numbers in the table: Number Round to this place 989.32 Hundreds 989.32 Tens 35.3973 Hundredths 25.03 Tens 1235 Hundreds Your answer 5. The average adult walks with what speed? A. 4 m per hourB. 4 km per minuteC. 4 km per hour D. 4 m per minute 6. The average loaf of bread weighs about what amount? A. 600 g C. 60 gB. 60,000 g D. 6,000 g
1. D; 2. 0,13,21,1,7; 3. 240; 237.3; 226,000; 0.135; 0; 4. 1000; 990; 35.40; 30; 1200; 5. C; 6. A.
1.Write in increasing order: a) 23,15,123,21 b) 23,15,123,21 2. Write in increasing order: a) 2,5,0,7,1 2b) 11,0.5,5, ,2 3. Write in increasing order: 11111 a) 11,25,8,17,21 23278 b) , , , , 3 5 5 15 15 4. Write in increasing order: 117 1 a)35, 5,3.21,33 11 b) 0.32, 3 , 0.23, 4 , 0.33 5. Write in increasing order: 2121 a) , ,0.3,1 , 53 510 5152 2 b) , , , , 3363 7 6. Write in increasing order:a) 0.2,0.22,0.02,0.022,0.222 b) 0.375,0.339,0.341,0.331,0.299 7. Which of the following is correct? A. 112 11.66 3 B. 112 11.66 3 C. 112 11.66 3 D. 112 11.66 3 8. Which of the following has the numbers in increasing order? 511A. 3,13,1.3,13,1.12 115 B. 13,1.12,1.3,13,3 115 C. 1.12, 13,1.3,13,3 115 D. 13, 1.12,13,1.3, 3
1. a) 15,21,23,123; b) -123,-23,-21,-15; 2. a) -7,-5,0,1,2; b) -5, ,0.5,2,11; 3. a) , , , , ; 3 25 21 17 11 8 27832 1 117 1 1 211 2 21255 b) , , , , ;4.a)3 ,3.21,3 , ;b)0.23, ,0.32,0.33, ;5.a)1 , , ,0.3, ;b) , , , , ; 5151553 5 35 4 3 53105 73363 6. a) 0.02, 0.022, 0.2, 0.22, 0.222; b) 0.299, 0.331, 0.339, 0.341, 0.375; 7. D; 8. B
1. Solve:a) x725 b) x311 c) x311 2. Solve:a) 5x120 b) 5x11 c) 4x12 7 3. Solve:a) 5x228 b) 5x727 4. Solve:a) 5x83x b) 3x122x 5. Solve:a) 5x13x11 b) 2x35x12 6. Solve:a) 2x113x4 b) 2x87x1 7. Solve:a) 10x1 x1 b) 2x87x1 8. If you solve the equation 3x 5 4 , what is the answer? 11 A. B. 3 C. 3 D. 33 9. For the equation 5x 2 3x 8 which of the following is an acceptable first step towards solving it? A. Adding 2 to both sides. C. Subtract 8 from both sides. B. Subtracting 3x from both sides. D. Adding 5x to both sides.
1. a) 18, b) 14, c) -8; 2. a) 24, b) , c) 21; 3. a) 6, b) 4; 4. a) 4, b) ; 5. a) 6, b) 5; 6. a) 3, b) -1; 55 7. a) , b) ; 8. C, 9. B.
M.2.4 Calculate geometric quantities. 1. a) Find the area of the shown figure. b) Find the perimeter. 2. a) Find the area.b) Find the perimeter. 3. Find the area. 4. Find the area. 5. a) Find the area.b) Find the perimeter. 6. a) Find the area.b) Find the perimeter. 7. A parallelogram has a base of 25 cm, a height of 10 cm, and a side length of 15 cm. Find its area and perimeter. 6. Calculate the surface area of the rectangular solid:
1. a) 21 2 , b) 16 2 ; 2. a) 50 cm2 , b) 36 cm; 3. 40 cm2; 4. 34 cm2; 5. a) 48, b) 34; 6. a) 37, b) 42; 22 7.Area250cm , Perimeter80cm; 8.52m .
1. Find the best buy of each item: a) Cereal b) Juice Size 20 oz. Price $ 3.29 Size Price 48 oz. $2.89 15 oz. $2.69 32 oz. $1.95 25.5 oz. $ 3.49 64 oz. $3.29 2. A recipe requires 3 cups of flour, 1 cup of sugar, 2 1 cup of milk, and 1 cup of melted butter. 2 a) What is the ratio of flour to the total mixture? 3325 A. B. C. D. 2533 b) What is the ratio of sugar to the total mixture? 1121 A. B. C. D. 5 4 5 10 3. Find the ratio not equivalent to 150 miles 2 hours 75 mi. 1.25 mi. 180 mi. 5 mi. A. B. C. D. 1hr. 1min 1.5 hr. 4 min 4. If a car is driven at 30 mi , how long does it take hr to drive 1 mile?A. 1 min B. 2 min C. 3 min D. 4 min 5. In 1950 the population of Farmville was 10,520, and in 2000 it was 25,370. What is the closest approximation of the population growth in Farmville? A. 100 people B. 200 people C. 300 people D. 400 people year year year year 6. A company has 250 employees, 75 of which are women. What is the ratio of men to women working in this company? 7 7 10 3 A.3 B.10 C.7 D7 7. Amy read 127 books in 8 years. What most accurately presents her average reading rate? A. 15 books B. 16 books C. 17 books D. 18 books year year year year 8. City A has a population of 95,570 people and a total area of all of its parks equal to 7,520 acres. City B has a population of 240,352 and 21,720 acres of park area. Which city has more park area relative to its population?
1. a) 25.5 oz. size, b) 64 oz. size; 2. a) B, b) D; 3. C; 4. B; 5. C; 6. A; 7. B; 8. City B.
1. Solve:a) What is 20% of 30 pounds? b) What is 15% of 90 mg?c) What is 125% of 120 kg? 2. Solve:a) 16 is what % of 400? b) 90 is what % of 150? c) 20 is what % of 80? 3. Solve:a) 30 is 5% of what number? b) 12 is 25% of what number? c) 120 is 80% of what number? 4. A shirt that normally sells for $45 is on sale at 40% off. What is its sale price? 5. Suppose that the local sales tax is 6% and you buy a car for $13,600. What is the total amount you have to pay? 6. A charity has raised $24,000, with a goal of raising $40,000. What percent of the goal has been raised? 7. If 300 fl oz of solution contains 18 fl oz of some liquid drug, what percent of the solution is not the liquid drug? 8. The cholesterol count in a blood sample was 198. In six months, the count was 178. What was the percent decrease in the cholesterol count? A. 10.1% B. 11.2% C. 20% D. 89.9% 9. If 1.2% of all shipped volumetric flasks are damaged on arrival, approximately how many flasks will be damaged out of a shipment of 2,400 flasks? A. 12 B. 20 C. 29 D. 200 10. The price of a sweater is reduced by 30% of its original price. When it still does not sell, its price is reduced by 20% of the reduced price. What is actual percent reduction from the original price? A. 40% B. 44% C. 50% D. 56%
1. a) 6 pounds, b) 13.5 mg, c) 150 kg; 2. a) 4%, b) 60%, c) 25%; 3. a) 600, b) 48, c) 150; 4. $27; 5.$14,416; 6.60%; 7.94%; 8.A; 9.C; 10.B.
1. A car can be rented from a certain company for $80 per week plus 50 cents for each mile driven. Write an inequality for determining how many miles you can travel if you can spend at most $400 for the week. 2. A shipment contained several boxes. One employee moved one fourth of the boxes to a storage room, and another employee moved half. Altogether, they moved 60 boxes. Write an equation needed to find out how many boxes were in the shipment. 3. To rent a piece of equipment, a store charges $25 a day plus an $85 flat fee. Write an inequality to determine how long you can rent this equipment if you can spend at most $270. 4. If each packet of aspirin contains 3 tablets, set up an equation to calculate a total number of tabletsT , using n as the number of packets. 5. Michael needs $1500 to buy an engagement ring. He got $300 from his grandmother, and puts aside $125 from his weekly earnings. Set up an inequality to find out in how many weeks Michael can propose. 6. Johnny had $2 less than his sister. After that he earned $20 by mowing the neighbor's lawn. Now he has three times more money than his sister. Write an equation to find out how much money Johnny's sister has. 7. Ann got $5000 from her aunt who won a lottery. She decides to use $70 of this money every weekend to go out. She plans to do so until there is close to $500 left. Which inequality below will help to determine for how many weeks Ann will have at least $500 of that money left? A. 500070x500 B. 500070x500 C. 500070x500 D. 500070x500 8. A small cake shop owner rents equipment at $200 a week, and bakes cakes at a cost of $5 per cake. She sells them for $12 each. Which inequality below will allow her to determine how many cakes she should make and sell each week to make a profit of at least $500? A. 12x7005x B. 12x5002005x C. 12x7005x D. 12x5002005x
1.800.5x400;2.4x2x60;3.25x85270;4.T3n;5.300125x1500; 6. x2203x; 7.D; 8.A.
M.2.5 Convert within and between standard and metric systems. 1. A patient knows that he is 173 cm tall. What is his height in feet and inches, if 1 inch equals 2.54 cm? A. 6 feetB. 5 feet, 10 inches C. 5 feet, 9 inches D. 5 feet, 8 inches 2. A car has 21 mi/gal gas mileage. Convert the mileage into km/L if 1 mi=1.61 km and 1 L=1.06 qt. A. 8 km/L B. 9 km/L C. 10 km/L D. 11 km/L 3. The scar is 0.002 meter long. How many cm long is the scar? A. 0.02 cm B. 0.2 cm C. 2 cmD. 20 cm 4. You participated in a 5K run. How many meters did you run? A. 3.1 B. 50C. 500 D. 5000 5. A person weighs 172 lb. What is his weight in kilograms? (1 kg=2.2 lb) A. 78 kg B. 82 kg C. 372 kg D. 378 kg 6. If the price of gasoline is $ 2.35/gal, find the price per liter (1 gal=3.79 L) A. $ 0.42/L B. $ 0.55/L C. $ 0.62/L D. $ 0.72/L 7. A person has a 100 square-meter apartment in Berlin. What is its size in square feet? (1m=3.28 ft.) A. 3,280 sq. ft. B. 328 sq. ft. C. 1,076 sq. ft. D. 1,276 sq. ft. 8. A 1.19-kilogram container of cereal contains 30 servings. How many grams approximately are in each serving? A. 0.4 g B. 4 gC. 40 g D. 400 g 9. Convert 125 ft. into yards. A. 41 2 yd C. 12.5 yd 3 B. 10 5 yd D. 15 5 yd 12 8 10. Convert 6 km/h into m/min.A. 36 m/min. C. 60 m/min B. 166 2 m/min D. 100 m/min 3
1.D; 2.B; 3.B; 4.D; 5.A; 6.C; 7.C; 8.C; 9.A; 10.D.
1. Calculate: a) 16842 b) (168)42 2. Calculate: a) 168(42) b) 16(842) 3. Calculate: a) 104263 b) 10(42)63 4. Calculate: a) 1016421 b) 1016(42)1 5. Calculate: a) 2024 222 b) 2024222 6. Calculate: a) (2024)222 b) (2024)(222) 7. Which of the following is the correct value of 22251? 8.Which of the following is the correct value of 10314 ? 622 9.Which of the following is the correct value of 10235(13)? 10. Which of the following is the correct value of 40 23 (1023)?
12 0 12 16 25 117 17 11 2 20 10 2 d. 13 a. 13 d.16 a.0
1.Convert fraction to a decimal: a) 231/ 100 b) 14/ 25 c) 3/8 2. Convert decimal to a fraction: a) 4.02 b) 0.0031 c) 113.7 3. Convert percent to a decimal: a) 22.3% b) 312% c) 0.6% 4. Convert decimal to a percent: a) 0.032 b) 0.532 c) 22.1 5. Convert percent to a fraction: a) 20% b) 75% c) 113% 6. Convert fraction to a percent: a) 3/100 b) 2/5 c) 7/ 25 7. Which of the following is equivalent to35.3%? 8. Which of the following is equivalent to 75 ? 9. Which of the following is equivalent to 12 ? 10. Which of the following is equivalent to 2.31% ?
2.31 0.56 0.375 402/ 100 0r 201/ 50 31/100 1137/10 0.223 31,200 0.006 0.223 31,200 0.006 3.25% 53.2% 2210% 1/5 3/4 113/100 3% 40% 28% C. 353/ 1000 C. 140% A. 240% D. 231/10000
1. A car can be rented from a certain company for $80 per week plus 50 cents for each mile driven. Write an inequality for determining how many miles you can travel if you can spend at most $400 for the week. 2. A shipment contained several boxes. One employee moved one fourth of the boxes to a storage room, and another employee moved half. Altogether, they moved 60 boxes. Write an equation needed to find out how many boxes were in the shipment. 3. To rent a piece of equipment, a store charges $25 a day plus an $85 flat fee. Write an inequality to determine how long you can rent this equipment if you can spend at most $270. 4. If each packet of aspirin contains 3 tablets, set up an equation to calculate a total number of tabletsT , using n as the number of packets. 5. Michael needs $1500 to buy an engagement ring. He got $300 from his grandmother, and puts aside $125 from his weekly earnings. Set up an inequality to find out in how many weeks Michael can propose. 6. Johnny had $2 less than his sister. After that he earned $20 by mowing the neighbor's lawn. Now he has three times more money than his sister. Write an equation to find out how much money Johnny's sister has. 7. Ann got $5000 from her aunt who won a lottery. She decides to use $70 of this money every weekend to go out. She plans to do so until there is close to $500 left. Which inequality below will help to determine for how many weeks Ann will have at least $500 of that money left? A. 500070x500 B. 500070x500 C. 500070x500 D. 500070x500 8. A small cake shop owner rents equipment at $200 a week, and bakes cakes at a cost of $5 per cake. She sells them for $12 each. Which inequality below will allow her to determine how many cakes she should make and sell each week to make a profit of at least $500? A. 12x7005x B. 12x5002005x C. 12x7005x D. 12x5002005x
1. C; 2. B; 3. a) mean 7.2, b) median 8, c) mode 8, d) range 9, e) outliers 1,4,5; 4. A.
