| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
What is the least common multiple of 6 and 10?
| 33 | |
| 30 | |
| 48 | |
| 13 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 have in common.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Ezra buys two shirts, each with a regular price of $13, how much will he pay for both shirts?
| $17.55 | |
| $3.25 | |
| $18.85 | |
| $22.75 |
By buying two shirts, Ezra will save $13 x \( \frac{25}{100} \) = \( \frac{$13 x 25}{100} \) = \( \frac{$325}{100} \) = $3.25 on the second shirt.
So, his total cost will be
$13.00 + ($13.00 - $3.25)
$13.00 + $9.75
$22.75
The total water usage for a city is 10,000 gallons each day. Of that total, 15% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,500 | |
| 1,000 | |
| 12,150 | |
| 1,700 |
32% of the water consumption is industrial use and 15% is personal use so (32% - 15%) = 17% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{17}{100} \) x 10,000 gallons = 1,700 gallons.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 3 | |
| 8 | |
| 6 | |
| 2 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 3
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 14 | |
| 21 | |
| 35 | |
| 28 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{35}{100} \) = \( \frac{35 x 20}{100} \) = \( \frac{700}{100} \) = 7 shots
The center makes 25% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{7}{\frac{25}{100}} \) = 7 x \( \frac{100}{25} \) = \( \frac{7 x 100}{25} \) = \( \frac{700}{25} \) = 28 shots
to make the same number of shots as the guard and thus score the same number of points.