| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.86 |
| Score | 0% | 77% |
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 46 | |
| 49 | |
| 44 | |
| 39 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({a \over 5} \) |
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\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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a = 7 or a = -7 |
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none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Find the average of the following numbers: 15, 11, 14, 12.
| 13 | |
| 12 | |
| 15 | |
| 18 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 11 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13
If a car travels 150 miles in 5 hours, what is the average speed?
| 60 mph | |
| 70 mph | |
| 50 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)