| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 59 | |
| 52 | |
| 56 |
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
What is the least common multiple of 2 and 8?
| 15 | |
| 11 | |
| 8 | |
| 2 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 have in common.
How many 11-passenger vans will it take to drive all 68 members of the football team to an away game?
| 10 vans | |
| 7 vans | |
| 8 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{68}{11} \) = 6\(\frac{2}{11}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $22, how much money will he save?
| $11.00 | |
| $1.10 | |
| $7.70 | |
| $6.60 |
By buying two shirts, Damon will save $22 x \( \frac{50}{100} \) = \( \frac{$22 x 50}{100} \) = \( \frac{$1100}{100} \) = $11.00 on the second shirt.
Which of the following statements about exponents is false?
all of these are false |
|
b1 = b |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).