STPM Math T Coursework 2016-2017 (Semester 1 or 2 or 3)

STPM Math T Coursework 2016-2017 (Semester 3)

Question:

Hints:

1) Discuss about 

a)  Simple Random Sampling

b) Stratified Random Sampling

c) Cluster Sampling

The sampling technique used in this survey is Simple Random Sampling .

2) 

Three confidence intervals for the mean time spent daily in my school can be:

a) 95% confidence interval

b) 99% confidence interval

c) 98% confidence interval

3)
You may use probability to count the % of students in your school that access the social media for at least 3 hours.
OR
You can discuss about your results in question 2 to decide whether students in your school that access the social media is at least 3 hours.

4)

Assumptions:

a) Randomization and Independently sampled values

b)  Normally distributed populations

c) 10% Condition: When the sample is drawn without replacement (usually the case), the sample size, n, should be no more than 10% of the population.

If the assumptions stated above are met, then the result is valid. 

Full solution 

What are you going to get?

1) Introduction: 3 pages

2) Methodology: 3 page

3) Results: 5 pages + 2 pages in excel file

4) Conclusion: 2 page

Total: 15 pages

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Sample answer (Part of the answer):
Data collection:

STPM Math T Coursework 2016-2017 (Semester 2)

Question:

correction of question 3:

Hints:

Question 1a)
- find f(Ө), f '(Ө), and f '' (Ө)
- Use Maclaurin Theorem to find the first two non zero terms.

Question 1b)
- Integrate the Maclaurin series found to get the answer

Question 2:

- Use binomial expansion to find the first and the second term; integrate.

Question 3:
Use Microsoft Excel to key in all the values.
Question 3(a) use 20 α values
Question 3 (b) use 46 α values

Full solution 

What are you going to get?

1) Introduction: 1 page

2) Methodology: 1 page

3) Results: 

    Question 1: 2 pages

    Question 2: 1 page

    Question 3: 2 page (one of them in Excel file)

4) Conclusion: 2 page

Total: 9 pages

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Sample Answer:

STPM Math T Coursework 2016-2017 (Semester 1)

Question:

Hints:

Question 1:
- Give 4 types of relation
- State which type of relation is a function

Question 2:
-Give examples on simple discrete function:
          example: number of cars on the road.
(I manage to write down 6 representations with explanation)

Question 3:

-Give examples on continuous function:
          example: height of students
(I manage to write down 6 representations with explanation)

Question 4:
I suggest students to draw 21 graphs for this question with different values of a, b, c and n. Explain the graphs.
(show graphs involving horizontal translation, vertical translation, vertical stretch, reflection about x-axis)

Question 5:
I suggest students to draw 21 graphs for this question with different values of a, b, c and n. Explain the graphs.
(show graphs involving horizontal translation, vertical translation, vertical stretch, reflection about x-axis)

Question 6:
I suggest students to draw 21 graphs for this question with different values of a, b, c and n. Explain the graphs.
(show graphs involving horizontal translation, vertical translation, vertical stretch, reflection about x-axis)

Full solution 

What are you going to get?

1) Introduction: 2 pages

2) Methodology: 1 page

3) Results: 

    Question 1: 3 pages

    Question 2: 1 page

    Question 3: 1 page

    Question 4: 6 pages

    Question 5: 3 pages

    Question 6: 3 pages

4) Conclusion: 3 pages

Total: 23 pages

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Sample Answer:

Sample answer for the rest?? Sorry. Please support us by buying it. Thanks

STPM Math T Coursework 2015-2016 (Semester 1 or 2 or 3)

STPM Math T Coursework 2015-2016 (Semester 3)

Question:

Hints:

Question 1a)

In order to select a random sample you need a list of all the students of your school. This list is called a sampling frame.

Suppose, for example, that the school consists of 450 upper secondary students and that you want to take a random sample of size 50. You would ....

Question 1b)
(I manage to get 50 girls' height (form 4 and form 5) from my tuition centre together with their parents' height.)

Question 2
-Study chapter 16 for confidence interval for the mean height of the students under subtopic population with unknown varance, large sample

Question 3a)
- Use the formula given above to count the predicted height. (Use Microsoft Excel)

Question 3b)
- Find range, divide into 3 equal class widths to get 3 categories

Question 4(a)
-Study chapter 18: Goodness of fit Test

Question 4(b) & (c)
- no hint.

Full solution 

Full solution is ready. It includes Introduction (1 page), Methodology (2 pages), Results for question 1 to 4 (5 handwritten pages and 5 pages in Microsoft Excel format) , and Conclusion (2 pages)

** The full solution is the sample answer for students reference**

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STPM Math T Coursework 2015-2016 (Semester 2)

Question:

Hints:

Question 1a) Use Area of triangle = 1/2 r (square) sin theta

Question 1b) n/2 x (square) sin (...)

Question 1c) 3.142

(Sample answer for question 1-free!)

Question 2a)i) e ii) e to the power of k (May use Microsoft excel)

                2b) Manage to find out 2 methods to show this. Method 1: substitution method (short method). Method 2: tabulation method (long method)

Question 3: Trapezium rule is a subtopic in the last chapter in semester 2: Numerical method
                3 (a) i) 3/4
                         ii) 17/24
                         iii) 1171/1680
                3 (b) ln (2t/t+1), ln 2.
                3 (c) -  

Full solution 

1. Results (8 pages of hand-written solution and 2 pages of microsoft excel tables),
2. Methodology (4 pages) and
3. Conclusion (3 pages).

To get the full solutions for results,methodology and conclusion, you can buy it from us . Just follow the following steps:

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Introduction? 

Hints:
For question 1, check for how the formula of area of circle is being developed.
For question 2, check for the usage of limits
For question 3, find out how trapezium rule formula is obtained.

STPM Math T Coursework 2015-2016 (Semester 1)

Question:

Parametric equations express a set of related quantities as explicit functions of an independent variable, known as a parameter. An equation, relating variables  and  in Cartesian coordinates, can be expressed by parametric equations which describe a position on the curve.

1  The parametric equations of a plane curve are defined by .
Tabulate the values ,  and , and plot the curve.

2 (a)  Find three sets of parametric equations for the curve whose equation is .
(b)  Is it possible to choose  as the parametric equation for ? Can you start with any choice for the parametric equation for ?
(c)  Can you start with any choice for the parametric equation for ?

3  Suppose that the position of a particle at time  is given by

,

and the position of another particle is given by

,

(a)  Sketch the paths of the particles on the same coordinate axes.
(b)  How many points of intersection are there?
(c)  Determine whether there is any point where the particles collide.

Solution:

1.

2.a)
Method 1:

Method 2 & 3, question 2(b), 2(c) and question 3???

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Latest update: Reference conclusion and methodology.