Question 1

Verna's Canned Vegetables, Inc. wants the color of each can of vegetables to be blue, including the bottom and the top. If the diameter of the lid (l) is 5 cm, and the height of the can (h) is 9 cm, what is the approximate total surface area for each can that needs to be colored blue?

Accepted Answer

The approximate total surface area for each can is 180.6 cm². You would find the entire surface area by adding the surface area of each end to the surface area of the side. The formula for the entire surface area of a cylinder is 2?r² + 2?rh.

Question 2

What is the median for the following set of numbers? $3.27, $9.42, $6.15, $5.25, $7.62, $4.86, $2.94, $1.16

Accepted Answer

The median or the middle number when the numbers are in ascending order ($1.16, $2.94, $3.27, $4.86, $5.25, $6.15, $7.62, $9.42) for the set above is $5.70. Whenever there is an even number of entries in a set, putting two numbers in the middle of the ordered entries, those two numbers are averaged to find the median. The mean is about $4.07. There is no mode because each number occurs only one time in the set.

Question 3

The test scores for eight students are 97, 94, 98, 97, 89, 92, 68 and 96. What would the seventh score be considered?

Accepted Answer

A piece of data that is atypical or significantly different from the rest of its data set is called an outlier. While true outliers are often easy to spot with critical thinking skills alone, there is also a mathematical precept for assessing these anomalies. Generally, a number that is two or more standard deviations from the mean is considered an outlier. In some cases, outliers can skew data significantly, which is why identifying them is critical. Occasionally, an outlier can be removed justifiably from a data set to improve the data's reliability.

Question 4

The diameter of a circle is 10 cm. What is its area?

Accepted Answer

If the diameter of a circle is 10 cm, its area is 78.5 cm². Since the formula for the area of a circle is 3.14 (?) r², you can start by dividing the diameter in half in order to get the radius. In this case, 10 ÷ 2 = 5. And 5² = 25, so 3.14 x 25 = 78.5 cm².

Question 5

Sam is packing the drinking glasses from his restaurant into boxes because the restaurant is moving. He packs his glasses into boxes until each box is completely full and has an equal number of glasses in each. If after 10 minutes, one box contains 22 glasses, and it takes 2 hours to fill up a box, how many glasses must each box hold?

Accepted Answer

Each box must hold 264 glasses. Since an hour has 60 minutes and you know that after 10 minutes the box had 22 glasses, you would first divide 60 by 10: the answer is 6. You would then multiply 22 by 6 to find out how many glasses were filled after the first hour: the answer is 132. Since there are 2 hours, you would double 132 to get 264.

Question 6

Simplify the following expression:
4(4x - 8x + 5)

Accepted Answer

4(4x - 8x + 5) can be simplified as ?16x + 20. You would multiply 4 by each of the numbers and then subtract 32 from 16 to get ?16x. ?16x - 20 cannot be simplified any further.

Question 7

Every U.S. dollar spent on foreign aid buys five gallons of clean water to distribute to people in need. Out of every five gallons of clean water intended for people in need, two gallons are lost due to environmental factors, transportation problems and conflict. If the United States spends $12 million on foreign aid in one year, how much of that money would actually make it to the people in need if spent on water?

Accepted Answer

If the United States spends $12 million on foreign aid in a year and three-fifths of the aid does not make it to the people in need, only $7.2 million dollars reaches the intended destination. Since two of the five gallons of water are lost, only three-fifths (or 60 percent) of it is successfully delivered. Sixty percent of $12 million dollars (12,000,000 x 0.6) is $7.2 million dollars.

Question 8

If the United States spends $1 billion a year on foreign aid and, of that money, 55% contributes to human rights improvements, 25% contributes to HIV/AIDS treatment and prevention, and 5% contributes to infrastructure improvements, how much money of the foreign aid budget is left to spend on food and water?

Accepted Answer

If 85% of a $1 billion foreign aid budget is spent on non-food costs, the remaining 15% that is spent on food is $150 million. The majority of the United States' foreign aid budget does in fact contribute to improvements in human rights efforts in individual countries more than it does to food.

Question 9

If two cities are 500 miles apart, approximately how many kilometers apart are they?

Accepted Answer

A distance of 500 miles is approximately 805 kilometers long. Miles are longer than kilometers, so the value must be higher than 500. Therefore, 295 kilometers and 375 kilometers can be ruled out right away.

Question 10

The radius of a circle is 3 cm. What is its circumference?

Accepted Answer

If the radius of a circle is 3 cm, its circumference is approximately 18.84 cm. To get this answer, you multiply the radius by 2 in order to get the diameter. The formula for circumference is 3.14, or ?, multiplied by diameter. 3.14 multiplied by 6 equals approximately 18.84 cm.

Question 11

A group interested in the result of an upcoming ballot initiative about the public school system is conducting a poll to find the likely outcome. They randomly select registered voters with school-age children from the voting population. The first question in the poll ascertains whether or not the participant is a likely voter and only those people who plan to vote are asked to complete the poll. What is the flaw in this sample?

Accepted Answer

Narrowing the possible sample group to include only those voters who have school-age children produces results of how intended voters with the greatest interest in the issue are likely to vote, but not how all intended voters are likely to vote. The vote is not limited to citizens with school-age children, so the poll, to be accurate, must not be limited in that fashion.

Question 12

A natural disaster cut a town off from its water supply. People must consume two quarts of clean water per day to survive. If an agency is going to deliver a three-day supply of clean water for each person and there are 32,684 people in the town, how many gallons of water must the agency transport there?

Accepted Answer

Two quarts are equal to one half-gallon; each of the 32,684 people should receive one and one half-gallons of clean water, which is 49,026 gallons of water total. The problem can also be solved by ignoring the unit of volume until the end. If each person requires two units of water per day for three days, each person should receive six units of water. Six units for each of 32,684 people equals 196,104 units. Divide the amount by four, since a quart (the original unit) is one fourth of a gallon. The agency must transport 196,104 quarts which is 49,026 gallons.

Quiz 2: Specialized High School Admissions Test (SHSAT) Practice