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Grade 12 - Mathematics Semi Finals

Total questions: 15

Worksheet time: 12mins

Name
Class
Date
1.

Easy: It is the graphical presentation of the frequency distribution table in the form of vertical bar graph.

a)

Box and Whisker

b)

Histogram

c)

Pareto

d)

Line Graph

2.

Easy: If you study hard, you refine your communication skills and build up your confidence.If you refine your communication skills & build up your confidence, then your job opportunities increases Hence, if you study hard, your job opportunities increases. Is the argument valid? Is it sound?

a)

Invalid and Sound

b)

Invalid and Unsound

c)

Valid and Unsound

d)

Valid and Sound

3.

Easy: It is the level of measurement that deals with categorical variables wherein the values of the variables could be ranked.

a)

Interval

b)

Nominal

c)

Ordinal

d)

Ratio

4.

Easy: In the presence of extreme values or what is termed as _______, the mean is not a good measure of central tendency.

a)

Maximum value

b)

Minimum Value

c)

Outliers

d)

Ratio

5.

Easy: It is the level of measurement in which one unit differs by a certain amount of degree from another unit.

a)

Interval

b)

Nominal

c)

Ordinal

d)

Ratio

6.

Advance: Let  p ⟶ qp\ \longrightarrow\ q  
where p: If there are no corrupt people   and   :  Then there are no poor people. State the converse of  p ⟶ qp\ \longrightarrow\ q  

a)

If there are no poor people, then there are no corrupt people.

b)

If there are poor people, then there are poor people.

c)

If there are corrupt people, then there are poor people

d)

If there are no corrupt people, then there are poor people

7.

Advance: One hundred meters of fencing is available to enclose a rectangular area next to a river, which of the function listed below represents the area that can be enclosed, in terms of x?

a)

A(x) = 50x2 - 0.5x

b)

A(x) = -50x2 + 0.5x

c)

A(x) = -0.5x2 + 50x

d)

A(x) = 0.5x2 - 50x

8.

Advance: Five persons were asked on the usual number of hours they spent watching TV in a week. Their responses are: 5, 7, 3, 38 and 7 hours. What is the median?

a)

Md = 3

b)

Md = 5

c)

Md = 7

d)

Md = 38

9.

Advance: Five persons were asked on the usual number of hours they spent watching TV in a week. Their responses are: 5, 7, 3, 38 and 7 hours. What is the median?

a)

μ = 3\mu\ =\ 3

b)

μ = 5\mu\ =\ 5

c)

μ = 7\mu\ =\ 7

d)

μ = 12\mu\ =\ 12

10.

Advance: Which is not involved in the process of finding the inverse of a function?

a)

Write the function in the form 𝑦 = 𝑓(𝑥).

b)

Interchange the x and y variables.

c)

Write in the function in the simplest form.

d)

Solve for y in terms of x.

11.

Difficult: The fee for hiring a guide to explore a cave is Php700. A guide can only take a maximum of 4 persons, and additional guides can be hired as needed. Which of the following functions represents the cost of hiring guides as a function of the number of tourists who wish to explore the cave?

a)

C(x) = 700(x/4)

b)

C(x) = 700(4/x)

c)

C(x) = 700(4x)

d)

C(x) = 4(700/x)

12.

Difficult: The mean age of 10 full time teachers is 35 years. Two new teachers, aged 28 and 30, are hired. Five years from now, what would be the average age of these 12 teachers?

a)

38

b)

39

c)

40

d)

41

13.

Difficult: Suppose that a couple invested Php50,000 in an account when their child was born, to prepare for the child’s college education. If the average interest rate is 4.4% compounded annually. Which of the following exponential function models the situation.

a)

A = 50,000 [(1.44)]t

b)

A = 50,000 [(1.0044)]t

c)

A = 50,000 [(1.044)]t

d)

A = 50,000 [(1.0404)]t

14.

Difficult: Judy is earning ₱300.00 per day for cleaning the house of Mrs. Perez and additional ₱25.00 for an hour of taking care Mrs. Perez’s child. Express the total salary (S) of Judy including the time (h) spent for taking care the child.

a)

𝑆(ℎ) = 300 + 25ℎ

b)

𝑆(ℎ) = 300 − 25ℎ

c)

𝑆(ℎ) = 300(25ℎ)

d)

𝑆(h)=30025h𝑆(ℎ)=\frac{300}{25h}

15.

Difficult: Elisha wins Php20 whenever the outcome of tossing two coins are both heads, but loses Php10 whenever the outcome is not both heads. What is Elisha’s expected gain per toss?

a)

-Php12.50

b)

-Php 2.50

c)

Php 2.50

d)

Php12.50