| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
A tiger in a zoo has consumed 28 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 70 pounds?
| 1 | |
| 7 | |
| 4 | |
| 6 |
If the tiger has consumed 28 pounds of food in 4 days that's \( \frac{28}{4} \) = 7 pounds of food per day. The tiger needs to consume 70 - 28 = 42 more pounds of food to reach 70 pounds total. At 7 pounds of food per day that's \( \frac{42}{7} \) = 6 more days.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 16 | |
| 11 | |
| 13 | |
| 18 |
The equation for this sequence is:
an = an-1 + 3
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 + 3
a6 = 13 + 3
a6 = 16
What is \( \frac{9}{3} \) - \( \frac{7}{9} \)?
| 2\(\frac{2}{9}\) | |
| \( \frac{6}{14} \) | |
| \( \frac{6}{13} \) | |
| \( \frac{8}{17} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 3}{3 x 3} \) - \( \frac{7 x 1}{9 x 1} \)
\( \frac{27}{9} \) - \( \frac{7}{9} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{27 - 7}{9} \) = \( \frac{20}{9} \) = 2\(\frac{2}{9}\)
What is \( \frac{2}{3} \) + \( \frac{3}{11} \)?
| \(\frac{31}{33}\) | |
| 2 \( \frac{2}{11} \) | |
| 1 \( \frac{4}{33} \) | |
| \( \frac{1}{33} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{2 x 11}{3 x 11} \) + \( \frac{3 x 3}{11 x 3} \)
\( \frac{22}{33} \) + \( \frac{9}{33} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{22 + 9}{33} \) = \( \frac{31}{33} \) = \(\frac{31}{33}\)
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.