- If Sara can read 15 pages in 10 minutes, how long will it take her to read 45 pages?
- 20 minutes
- 30 minutes
- 40 minutes
- 50 minutes
The relationship can be expressed as follows:
\(\dfrac{15}{10} =\dfrac{45}{x}\)
\(15x = 450\)
\(x = 30\)
- Restaurant customers tip their server only 8% for poor service. If their tip was $3.70, how much was their bill?
- $40.15
- $44.60
- $46.25
- $50.45
The total amount of the bill is as follows:
\(\dfrac{3.70}{x} =\dfrac{8}{100}\)
\(370 = 8x\)
\(x = 46.25\)
- Enrique weighs five pounds more than twice Brendan’s weight. If their total weight is 225 pounds, approximately how much does Enrique weigh?
- 125 pounds
- 152 pounds
- 115 pounds
- 165 pounds
If \(E + B = 225\) and \(E = 2B + 5\), then \(225 – B = 2B + 5\).
Solving for \(B\), \(3B = 220\) and \(B = 73.3\).
\(225 – 73.3 = 151.7 \approx 152\)
- What is the missing number in the sequence below?
- 22
- 34
- 45
- 54
Double the number that is added to the previous number.
\(4+2=6\)
\(6+4=10\)
\(10+8=18\)
\(18+16=34\)
\(34+32=66\)
- There are 64 fluid ounces in a half-gallon. If Nora fills a tank that holds 8\(\tfrac{3}{4}\) gallons, how many ounces will she use?
- 560
- 1,024
- 1,088
- 1,120
We know that \(64\text{ oz}= \tfrac{1}{2} \text{ gal}\). Therefore:
\(1\text{ gal}=2\times 64\text{ oz}=128\text{ oz}\)
We can then convert 8\(\tfrac{3}{4}\) gallons to an improper fraction and then multiply to find the total ounces:
\(8\tfrac{3}{4}=\tfrac{35}{4}\times 128=35\times 32=1,120 \text{ oz}\)
- Shaylee goes shopping for two types of fruit. Mangoes cost $2 each and coconuts cost $4 each. If she buys ten pieces of fruit and spends $30, how many pieces of each type of fruit did she buy?
- 4 mangoes and 6 coconuts
- 5 mangoes and 5 coconuts
- 6 mangoes and 4 coconuts
- 7 mangoes and 3 coconuts
If mangoes are represented by \(x\) and coconuts are represented by \(y\), then:
\(x + y = 10\) and \(2x + 4y = 30\)
\(2(10-y) + 4y = 30\)
\(20 – 2y + 4y = 30\)
\(2y = 10\)
\(y = 5\) and \(x = 5\)
- Assuming the Hamburg Painting Company did not experience any major business changes, which of the following is likely to be closest to the number of houses the company painted in 2005?
- 25
- 31
- 22
- 45
Given the increasing trend, the data can be extrapolated from 25 to about 31, the closest possible answer.
- A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. Approximately how long is the ladder from the ground to the roof of the house?
- 43 ft
- 25 ft
- 50 ft
- 62 ft
To reach from the ground to the 25-foot roof while standing 35 feet back, the ladder, the ground, and the wall form a right triangle whose legs measure 25 feet tall and 35 feet wide.
Using the Pythagorean theorem and having the length of the ladder be\(L\):
\(L^2=25^2+35^2=625+1,125=1,850\)
\(L=\sqrt{1,850}\approx 43\)
Therefore, you need a ladder approximately 43 feet long.
- If Louis travels on his bike at an average rate of 20 mph, how long will it take him to travel 240 miles?
- 48 hours
- 12 hours
- 20 hours
- 8 hours
To solve this, we need to use the following formula:
\(\text{time }=\dfrac{\text{distance}}{\text{rate}}\)
For this problem, the distance is 240 miles and his average speed is 20 mph.
\(\text{time }=\dfrac{240}{20}=12\text{ hours}\)
- A soda company is testing a new sized can to put on the market. The new can is six inches in diameter and 12 inches in height. What is the volume of the can in cubic inches?
- 339
- 113
- 432
- 226
A soda can is a right circular cylinder whose volume is:
\(V=\pi r^2h\)
In this formula, \(r\) is the radius and \(h\) is the height. With a diameter of six inches, the radius is half that (3 inches) and the height is 12 inches.
\(V=\pi \times 3^2\times 12\) \(=108\pi \approx 108\times 3.1416\) \(\approx 339.3\)
Rounding to the nearest whole cubic inch gives us 339 in3