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ATI TEAS TEST PRACTICE MATHEMATICS
Which of the following is the percentage equivalent of 0.0016? A. 16% B. 160% C. 1.6% D. 0.16% - D. To derive a percentage from a decimal, multiply by 100: 0 .0016(100) = 0.16% Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles? A. 42 miles B. 37 miles C. 28 miles D. 16 miles - C. one kilometer is about 0.62 miles, 4 5(0.62) = 27. approximately 28 miles On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm2. What is the actual area of the room? A. 30,000 cm B. 300 m C. 3,000 m
D. 30 m2 - D. Since there are 100 cm in a meter, on a 1:100 scale drawing, each centimeter represents one meter. Therefore, an area of one square centimeter on the drawing represents one square meter tin actuality.
- Since the area of the room in the scale drawing is 30 cm2, the room's actual area is 30 m2. L/100 x W/100 = 30 cm lw/100 = 30 cm Area = 300,000 cm 3 00,000 cm2 x. 1m/100 cm x 1m/100 cm = 30m Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost? A. $1. B. $2. C. $2. D. $2.50 - C. The situation may be modeled by the system: 4 2 x + 3y = 9. x + 2y = 5. Multiplying the bottom equation by - 2 gives: 4 x + 3y = 9.
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the medium of Pernell's scores? A. 87 B. 89 C. 92 D. 94 - B. To find the median, list the series of numbers form least to greatest. The middle number represents the median -- in this case 81, 87, 89, 92, 94. The number 89 is in the middle, so it is the median. Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid? A. $141. B. $225. C. $305. D. $330.40 - D. The television is 30% off its original price of $472. 30% of 472 is 141.60. (0.30)(472) = 141. 472 - 141.60 = 330. Thus, Gordon paid $330.40 for the television. Simplify the following expression: (2/3) / (4/15) X (5/8)
A. 1 9/
B. 1 1/
C. 2 1/
D. 2 - A. To simplify, proceed it he order of the operations: (2/3) / (4/15) = (3/2) x (15/4) = 30/12 = 10/2 = 5/ 5 /2* 5/8 = 25/16 = 1 9/ Simplify following expression: 0 .0178 X 2. A. 2. B. 0. C. 0. D. 0.3483240 - B. This is a simple matter of multiplication. The production is 0.00427378. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper cost $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase? A. 30c + 5p < 100 B. 30c + 5 p < 100 C. 30c + 5p > 100 D. 30c + 5p > 100 - A. The inequality will be less than or equal to, since he may spend $ or less on his purchase. Solve for x:
4 x .25 = 11 4-11 = $ Added to the cost of the $50 sweater, which is not discounted, Erma's total is $83. $ 33 + $55 = $83. Simplify the following expression: 1 .034 + 0.275 - 1. A. 0. B. 0. C. 1. D. -0.15 - A. Start by adding the first two expressions, and then subtract 1.294 from the sum: 1 .034 + 0.275 - 1. 1 1
The graph below shows the weekly church attendance among residents in the town of Ellsford, with the town having five different denominations: Episcopal, Methodist, baptist, Catholic, and Orthodox. Approximately what percentage of church-goers in Ellsford attends Catholic Churches? A. 23% B. 28% C. 36%
D. 42% - B. Adding up the number of church-goers in Ellsford resulting about 1450 residents who attend a church in the town each week. There are approximately 400 people in Ellsford who attend a Catholic Church each week. This number represents about 28% of the 1450 church-goers in the town. Jerry needs to load four pieces of equipment on to a factory elevator that has a weight limit of 800 pounds. Jerry weighs 200 pounds. What would the average weight of each item have to be so that the elevator's weight limit is not exceeded assuming Jerry accompanies the equipment? A. 128 pounds B. 150 pounds C. 175 pounds D. 180 pounds - B. To solve, first subtract Jerry's weight from the total permitted: 8 00-200 = 600 Divide 600 by 4 (the four pieces of equipment) to get 150, the average weight. 6 00/4 = 150 Simplify the following expression: 4 (2/3) / 1 (1/6) A. 2 B. 3 1/ C. 4 D. 4 1/2 - C. Turn both expressions into fractions, and then multiply the first by the reverse of the second:
C. x = - D. x = 5 - D. To solve the equation for x, you can follow the steps below: 2 x - 7 = 3
- 7 + 2 x = 10 2 x/2 = 10/ x = 5 What kind of association does the scatter plot show? A. linear, positive B. linear, negative C. quadratic D. no association - D. The points do not show any trend line or trend curve at all. So, there is no association int he scatter plot. If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.) A. 123 pounds B. 110 pounds C. 156 pounds D. 137 pounds - A. To find the correct answer, simply multiply 56 by 2.2. 56 x 2.2 = 123.
Approximately 123. This is Stella's weight in pounds. Which of the following is listed I order from least to greatest? A. -3/4, - 7 3/4, -8, 18%, 0.25, 2. B. - 8, - 7 4/5, - 3/4, 0.25, 2.5, 18% C. 18%, 0.25, - 3/4, 2.5, - 7 4/5, - 8 D. -8, - 7 4/5, - 3/4, 18%, 0.25, 2.5 - D. The smallest negative integers are those that have the largest absolute value.
- The negative integers, writing in order from least to greatest, are - 8, - 7 4/5, - 3/4. The percentage, 18% can be written as the decimal, 0.18; 0.18 is less than 0.25. The decimal, 2.5, is the greatest rational number given. The values, -8, -7 4/5, -3/4, 18%, 0.25, 2.5. Between the years 2000 and 2010, the number of births in the town of Daneville increased form 1432 and 2219. Which of the following is the approximate percent of increase int he number of births during those ten years? A. 55% B. 36% C. 64% D. 42% - A.
- Begin by subtracting 1432 from, 2219. 2 219-1432 = 787
- Then, divide 787 by 1432 to find the percent of increase: 0.549. 7 87/1432 = 0.
A. 17.2 in B. 19.4 in C. 21.2 in D. 23.4 in3 - C. The volume of a cylinder may be calculated using the formula V = ñr2h, where r represents the radius and h represents the height. Substituting 1.5 for r and 3 for h gives V = ñ(1/5)2(3), which simplifies to V = 21.
- ñ represents pie (1/5)2 represents 1/5 squared (2). Simplify the following expression: 3 (1/6) - 1 (5/6) A. 2 (1/3) B. 1 (1/3) C. 2 (1/9) D. 5/6 - B. Since the denominator is the same for both fractions, this is simple subtraction. Start by turning each expression into a fraction: 19/6 - 11/6. The results is 8 /6 = 1 (2/6) = 1 (1/3) Four more than a number, x, is 2 less than 1/3 of another number, y. Which of the following algebraic equations correctly represents this sentence? A. x + 4 = 1/3y - 2 B. 4x = 2 - 1/3y C. 4 - x = 2 + 1/3y D. x + 4 = 2 - 1/3y - A. The expression "Four more than a number, x" can be interpreted as x+4.
- This is equal to "2 less than 1/3 of another number, y," or 1/3y - 2. Thus, the equation is x + 4 = 1/3y - 2
Margery is panning a vacation, and she has added up the cost. Her round-trip airfare will cost $572. Her hotel cost is $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing during her trip, and she expects to spend about $250 on meals. As she books the hotel, she is told that she will receive a discount of 1 0% per night off the price of $89 after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation? A. $1328. B. $1373. C. $1381. D. $1417.60 - C. Start by adding up the costs of the trip, excluding the hotel cost: $572 + $150 + $250 = $972.
- Then, calculate what Margery will spend on the hotel.
- the first of her five nights at the hotel will cost her $89.
- For each of the other four nights, she will get a discount of 10% per night, or $8.90. This discount of $8.90 multiplied by the four nights is $35.60. The total she would have spent on the five nights without the discount is $445. With the discount, the amount goes down to $409.40. Add this amount to the $972 for a grand total of $1381.40. Given the double bar graph shown below which of the following statements is true? A. Group A is negatively skewed, while group B is approximately normal. B. Group A is positively skewed, while Group B is approximately normal. C. Group A is approximately normal, while Group B is negatively approximately skewed. D. Group A is approximately normal, while Group B is postively approximately skewed. - B. Data is said to be positively skewed when there are a higher number of lower values, indicating data that is skewed right.
Arrange the following numbers above form least to greatest: 7 /3, 9/2, 10/9, 7/ A. 10/9, 7/3, 9/2, 7/ B. 9/2, 7/3, 10/9, 7/ C. 7/3, 9/2, 10/9, 7/ D. 7/8, 10/9, 7/3, 9/2 - D. Turn the fractions into mixed numbers to see the amounts more clearly.
- The result is that 7/8 is smaller than 10/9, or 1 (1/9), which is smaller than 7/3, or 2 (1/3), which is smaller than 9/2, or 4 (1/2). Simplify the following expression: (2/7) / (5/6) A. 2/ B. 35/ C. 5/ D. 12/35 - D. In order to divide the terms, they must first be arranged as a multiplication by keeping the first fraction as is, changing the division sign to multiplication, and taking the reciprocal of the send fraction: 2/7 x 6/
- Then, multiply the new terms: 2 /7 x 6/5 = 12/ Simplify the following expression: 7 + 16 - (5 + 6 x 3) - 10 x 2
A. - 42
B. - 20
C. 23
D. 20 - B. Start by calculating the amount is parentheses, completing the multiplication first: 5 + 6 x 3 which is 5 + 18 = 23. Then calculate the product at the end: 10 x 2 = 20 and complete the equation:
- 16 - (5 + 6 x 3) - 10 x 2
- 16 - (5 + 18) - 10 x 2
- 16 - (23) - 10 x 2 3 - 23 - 20
- 20
- 20 The table below shows the cost of renting a bicycle for 1, 2, or 3 hours. Which answer choice shows the equation that best represents the data? Let C represent the cost of the rental and h stand for the number of hours of rental time. A. C = 3.60h B. C = h + 3. C. C = 3.60h + 10. D. C = 10. h - A. This equation is a linear relationship that has a slope of 3.60 and passes through the origin.
D. 1/20 - C. According to the problem statement, 60% of the class wanted to work with the elderly.
- Therefore, convert 60% to a fraction: : 6 0% = 60/
- Now simplify the above fraction using a greatest common factor of 20. 6 0/ 6 0/20 = 3 00/20 = 5 3/
Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of her staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20% are certified to work in the neonatal unit. What percentage of the TOTAL staff is certified and available to work in the neon unit during the holiday? A. 7% B. 13% C. 65% D. 80% - B. Since 35% of the staff will take vacation days, only 100% - 35% = 65% of the staff is available to work.
- Of the remaining 65%, only 20% are certified to work in the neonatal unit. Therefore multiply 65% by 20% Convert 65% and 20% into decimals by dividing both numbers by 100. 6 2
Now multiply 0.65 by 0.20 to get (0.65)(0.20) = 0.
Now convert 0.13 to a percentage by multiplying by 100 (0.13)(100) = 13% A patient requires a 30% decrease int he dosage of his medication. His current dosage in 340 mg. What will his dosage be after the decrease? A. 70 mg B. 238 mg C. 270 mg D. 340 mg - B. The patient's dosage just decrease by 30%. So calculate 30% of 340: (0.30)(34 mg) = 10.2 mg
- Now subtract the 30% decrease from the original dosage. 340 mg - 102 mg = 238 mg A study about anorexia was conducted on 100 patients. Within that patient population 70% were women, and 10% of the men overweight as children. How many male patients in the study were NOT overweight as children? A. 3 B. 10 C. 27 D. 30 - C. Since 70% of the patients in the study were women, 30% of the patients were men.
- Calculate the number of male patients by multiplying 100 by 0.30. (100)(0.30) = 30
- Of the 30 male patients in the study, 10% were overweight as children. So 90% were not overweight.
- Multiply 30 by 0.90 to et the final answer. (0.30)(0.90) = 27
