| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
A triathlon course includes a 400m swim, a 40.7km bike ride, and a 9.7km run. What is the total length of the race course?
| 36km | |
| 45.9km | |
| 50.8km | |
| 39.1km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.7km + 9.7km
total distance = 50.8km
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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associative |
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distributive |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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absolute value |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 2 cups | |
| 2\(\frac{7}{8}\) cups | |
| \(\frac{1}{2}\) cups | |
| 2\(\frac{3}{8}\) cups |
The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 60 | |
| 61 | |
| 67 | |
| 57 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61