Sets(Venn Diagram)
Combination and Permutation:
1. A club has 30 members. In how many ways can the president, treasurer and secretary be chosen to form a committee of three?
2. In class of 25 students, a first and second prize are to be awarded. In how many different ways can this be done?
3. In a class of 22, 12 are boys and the rest are girls. A student body of 2 prefects are to be elected. How many ways can they be chosen if:
a. Both prefects elected are boys
b. Both prefects elected are girls
c. 1 boy and 1 girl prefects
4. In how many ways can the letters in the word below be arranged:
a. OFFICE
b. PEN
c. HOSPITAL
5. A committee of 5 men and 3 women is to be chosen to form a committee if 7 people from a group of 10 men and 8 women. How many possible committees can be selected?
6. In how many ways can a committee of 7 be chose from a 9 married couples if:
a) The committee must have 4 men and 3 women
b) The committee are all chaired by women
c) No restrictions are made
7. Suppose there are 20 people and only 8 people are invited to a party. In how many ways can the party be selected?
8. A typical football team consists of two goalies, six defenders, six midfielders and four attackers. In how many ways can the coach select a starting lineup of one goalie, four defenders, four midfielders and two attackers?
9. In how many ways can a football team (11 players) be chosen from 15 people?
10. In the Match of the Day’s goal of the month competition, you had to pick the top 3 goals out of 10 How many ways can you choose the top 3 goals?
Logarithm Question:
.http://www.regentsprep.org/regents/math/algtrig/ate9/logprac.htm
Statistical Data question:
From the following information, distinguish whether it is (i) quantitative or qualitative, (ii) discrete or continuous data.
a) The weight of babies
b) The body shop perfume fragrances
c) BDTVEC grading system (e.g. grade A, grade B, etc)
d) The number of Brunei population in the year of 2011
e) The brands of car sold in Brunei
f)
The number of voters that vote
for Hairi as a president for Student Committee for CCCT .Measure of Central Tendency
1. Determine the mean, mode and median for the following data:
a) 2, 3, 4, 6, 11
b) 21, 23, 15, 21, 27, 30
2.
The qualifying mathematics test
marks for Cosmopolitan College of Commerce and Technology are shown in the table
below.
Marks awarded (x)
|
Number of students
|
0 ≤ x < 20
|
4
|
20 ≤ x < 40
|
6
|
40 ≤ x < 60
|
15
|
60 ≤ x < 80
|
5
|
80
≤ x
< 100
|
3
|
For the above data, determine the mean and median of the data.
For Representation of Statistical Data question, the URL below will help you:
Probability
1.
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