| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 49 | |
| 52 | |
| 42 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 27\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%
What is 4a4 x 4a3?
| 16a12 | |
| 8a7 | |
| 8a3 | |
| 16a7 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4a4 x 4a3
(4 x 4)a(4 + 3)
16a7
Find the average of the following numbers: 18, 12, 18, 12.
| 15 | |
| 14 | |
| 10 | |
| 20 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{18 + 12 + 18 + 12}{4} \) = \( \frac{60}{4} \) = 15
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Roger buys two shirts, each with a regular price of $40, how much will he pay for both shirts?
| $48.00 | |
| $6.00 | |
| $74.00 | |
| $34.00 |
By buying two shirts, Roger will save $40 x \( \frac{15}{100} \) = \( \frac{$40 x 15}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.
So, his total cost will be
$40.00 + ($40.00 - $6.00)
$40.00 + $34.00
$74.00