Free Printable Mathematics 10 - 3rd Quarter Summative Test

1.

An arrangement which position is important.

a)

combination

b)

permutation

c)

factorial

d)

probability

2.

Which among is the notation for permutation?

a)

_nP_r

b)

_rP_n

c)

_nC_r

d)

_rC_n

3.

Which is the formula in finding permutation?

a)

_nP_r = $n!$

b)

_nP_r = $\frac{n!}{n_{1\ }!n_2!...n_k}$

c)

_nP_r = $\frac{n!}{\left(n-r\right)!}$

d)

all of them

4.

Which is the formula in finding permutation with distinguishable repetition ?

a)

_nP_r = $n!$

b)

_nP_r = $\frac{n!}{n_{1\ }!n_2!...n_k}$

c)

_nP_r = $\frac{n!}{\left(n-r\right)!}$

d)

all of them

5.

Which is the formula in finding circular permutation?

a)

_nP_r = $\left(n-1\right)!$

b)

_nP_r = $\frac{n!}{n_{1\ }!n_2!...n_k}$

c)

_nP_r = $\frac{n!}{\left(n-r\right)!}$

d)

all of them

6.

What is the notation if you are to arrange 5 people in a picture taking?

a)

₅P₁

b)

₅P₃

c)

₅P₅

d)

₅P₇

7.

In how many ways can 5 people be arrange for a picture taking? What formula could be used?

a)

$5!$

b)

$\frac{5!}{\left(5+5\right)!}$

c)

$\frac{5!}{\left(5-5\right)!}$

d)

$\frac{5!}{5!5!}$

8.

A concept whenever points A, B, C and D arranged will only be counted as 1.

a)

Combination

b)

Permutation

c)

Factorial

d)

Probability

9.

Which among is the notation for combination?

a)

_nC_r

b)

$C_r^n$

c)

$\left(_r^n\right)$

d)

All of them

10.

Which among is the formula for combination?

a)

$C_r^n=\frac{n!}{\left(n-r\right)!r!}$

b)

$C_r^n=\frac{r!}{\left(n-r\right)!r!}$

c)

$C_r^n=\frac{n!}{n!r!}$

d)

$C_r^n=\frac{n!}{\left(n-r\right)!n!}$

11.

The product of a positive integer n and all the positive integers less than it is ____.

a)

power of n

b)

multiple of n

c)

n - factors

d)

n factorial

12.

Which of the following situations or activities involve permutation?

a)

matching shirts and pants

b)

forming different tringles out of 5 points on a plane, no three of which are collinear

c)

assigning telephone numbers to subscribers

d)

forming a committee from the members of a club

13.

Two different arrangements of objects where some of them are identical are called ______.

a)

distinguishable permutations

b)

unique combinations

c)

circular permutations

d)

circular combinations

14.

Which of the following situation shows combination?

a)

creating pin code for your phone lock

b)

electing Olongapo City Officials

c)

Selecting contestants for a Math Quiz

d)

Awarding Top 10 students in a quarter

15.

It is to predict how likely events are to happen.

a)

Permutation

b)

Combination

c)

Probability

d)

Statistics

16.

In what percent can we consider an event unlikely to happen?

a)

100%

b)

75%

c)

50%

d)

25%

17.

In what percent we can consider an event is impossible to happen?

a)

0%

b)

24%

c)

50%

d)

100%

18.

In what percent an event is most likely to happen?

a)

100%

b)

75%

c)

50%

d)

25%

19.

An event occurred 62%, what does it tell us?

a)

It will certainly happen

b)

It will most likely to happen

c)

It will unlikely to happen

d)

It is impossible

20.

An event is certainly will happen. What percent would it be?

a)

100%

b)

greater than 50%

c)

50%

d)

less than 50%

21.

How to find the probability of an event?

a)

$P=\frac{unfavorable\ outcome}{favorable\ outcome}$

b)

$P=\frac{favorable\ outcome}{unfavorable\ outcome}$

c)

$P=\frac{favorable\ outcome}{total\ outcome}$

d)

$P=\frac{unfavorable\ outcome}{total\ outcome}$

22.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

23.

What is the value of 5!

a)

25

b)

15

c)

120

d)

720

24.

What does the P stand for in _nP_r?

a)

Partners

b)

Positions

c)

Papers

d)

Permutations

25.

₇P₂

a)

0

b)

7

c)

42

d)

210

26.

What does ₁₀P₅mean?

a)

Permutations with 5 choices and 10 positions

b)

Permutations with 10 choices and 5 positions

c)

Permutations with 5 numbers and 10 operations

d)

Permutations with 5 hot dogs and 10 drinks

27.

Picking a President, Vice-President, and Secretary from a group of 12.

a)

Permutation

b)

Combination

c)

Neither

28.

Picking a team of three people out of a group of 10.

a)

Permutation

b)

Combination

c)

Neither

29.

Which is equivalent to the combination of n elements taken r at a time or nCr?

a)

$\frac{n!}{\left(n-r\right)!}$

b)

$\frac{n!}{r!\left(n-r\right)!}$

c)

$\frac{r!}{n!\left(r-n\right)!}$

30.

A die is rolled, what is the probability that the number rolled is greater than 2?

a)

2/3

b)

1/3

c)

1/2

d)

1/4

31.

In a school club there are 3 freshmen, 5 sophomores, 4 juniors and 7 seniors. One student is chosen at random. What is the probability that the student chosen is a senior?

a)

7/19

b)

3/19

c)

4/19

d)

5/19

32.

A letter is chosen at random from the word “MILKTEA”. What is the probability that the letter chosen is a vowel?

a)

5/7

b)

4/7

c)

3/7

d)

2/7

33.

A bag contains 8 red marbles and 7 green marbles. What is the probability of getting a green ball?

a)

1/7

b)

1/8

c)

7/15

d)

8/15

34.

If A={3,4,7,9}, B={1,3,5,8,9,11} and C={2,3,5,6,9,12}. What is A∩C?

a)

{3}

b)

{2,3,4,5,6,7,9,12}

c)

{3,9}

d)

{3,5,9}

35.

What is the notation of the shaded region?

a)

A ∪ B

b)

A¹ ∪ B¹

c)

A Ո B

d)

A¹ Ո B¹

36.

The number of students who like both Coke and Pepsi is:

a)

20

b)

10

c)

5

d)

45

37.

The number of students who like Coke only is:

a)

30

b)

15

c)

20

d)

25

38.

The members of Set A ∪ B are

a)

{9, 15}

b)

{2, 5, 9, 15, 19}

c)

{8, 9, 10, 13, 15, 17}

d)

{2, 5, 8, 9, 10, 13, 15, 17, 19}

39.

A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is a 9 or a 15?

a)

2/15

b)

1/5

c)

4/15

d)

1/3

Mathematics 10 - 3rd Quarter Summative Test

Total questions: 39

Worksheet time: 44mins

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