| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.66 |
| Score | 0% | 53% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 22\(\frac{1}{2}\)% | |
| 15% | |
| 35% | |
| 30% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Roger buys two shirts, each with a regular price of $47, how much will he pay for both shirts?
| $75.20 | |
| $28.20 | |
| $58.75 | |
| $63.45 |
By buying two shirts, Roger will save $47 x \( \frac{40}{100} \) = \( \frac{$47 x 40}{100} \) = \( \frac{$1880}{100} \) = $18.80 on the second shirt.
So, his total cost will be
$47.00 + ($47.00 - $18.80)
$47.00 + $28.20
$75.20
A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (2\(\frac{1}{2}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{20}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups
A tiger in a zoo has consumed 39 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 130 pounds?
| 7 | |
| 8 | |
| 6 | |
| 5 |
If the tiger has consumed 39 pounds of food in 3 days that's \( \frac{39}{3} \) = 13 pounds of food per day. The tiger needs to consume 130 - 39 = 91 more pounds of food to reach 130 pounds total. At 13 pounds of food per day that's \( \frac{91}{13} \) = 7 more days.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 15 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 240 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 5 | |
| 15 | |
| 6 | |
| 7 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{8} \) = 2\(\frac{5}{8}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 15 x 4 = 60 small cakes during that time. 240 small cakes are needed for the party so \( \frac{240}{60} \) = 4 cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 4 = 7 cooks.