WorksheetsMath #1
Total questions: 10
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
Dan is opening a sandwich shop and must offer at least 1 choice of bread, meat, cheese, and vegetable. He has enough money to stock 25 items total. How should he distribute the number of items across categories to maximize possible sandwich combinations?
a)
6,6,6,7
b)
7,7,4,7
c)
3,17,3,2
d)
4,4,4,13
2.
In an arithmetic series, the 88th term is double the 18th term. Find the first term and difference of this sequence.
a)
256, 25
b)
300, 2
c)
316, 12
d)
424, 8
3.
A population of pygmy marmosets has n individuals at time 0 and grows at a continuous rate of 0.136. Every five years, a flood kills exactly half the population, rounded up to the nearest individual. In the long-run, the population size tends to
a)
0
b)
1.136n
c)
2.272n
d)
5n
4.
Compute the variance of {2,2,3,5,7,11,15,18,20}.
a)
21
b)
25
c)
37
d)
42
5.
Which of the following statements is true?
a)
The mode of a set does not have to be a member of that set
b)
A set can have more outliers than non-outliers
c)
The standard deviation of a set can be negative
d)
The median of a data set will not change if we remove both a high and low outlier
6.
Simplify (x+3)2 – (x+2)2 + 4x3 – 8x.
a)
4x3 -6x + 5
b)
4x3 + x2 +10x + 5
c)
4x3 + x2 -6x - 9
d)
4x3 +10x + 5
7.
What is the mean and standard deviation of a binomial distribution of 100 trials with a probability of success of 0.4?
a)
40, √24
b)
100, √40
c)
40, √40
d)
100, √24
8.
Express the new standard deviation (SD) of a set if each element is squared.
a)
SD2
b)
2(SD)
c)
√2(SD)
d)
Not enough information to determine the answer
9.
What is the coefficient of the term containing x5 in the expansion of (x3 - 2/𝑥)7?
a)
225
b)
310
c)
375
d)
560
10.
James is a bad scientist and wants to fabricate data about pine tree length to make it look approximately normal. If he has 300 trees in the sample with a maximum value of 127 meters and the average value is 103 meters tall, what is the best mean and standard deviation James can fib to make the data look normal?
a)
103,24
b)
115,8
c)
103,8
d)
115,12
100 %
