TPJC 18 MYE Answers (updated)

Plan for 28th June

  • Recommended questions: Start with stats Q8-10. Then pure math Q2-5,7 CJC 2018 MYE
  • Extra (optional). Stats Q7-10, pure math Q2,5,6MJC 2018 MYE

Plan for 18th June

  • Recommended questions: Paper 1 Q1,3,4,7,9, Paper 2 Q1,4-10 TPJC 18 MYE
  • I’ve compiled the answers (first draft, so high chance of typos and mistakes so immediately ask me if any of your answers don’t match up)
    TPJC 18 MYE Answers

Plan for 11th June

  • Complex 2017 Complex questions compilation
    • General algebra: use of conjugates, quadratic formula, simultaneous equations, compare real and imaginary: ACJC 1(a), CJC (a), HCI 2, PJC
    • Conjugate root theorem AJC: 2, IJC 1, RI (a)
    • Conversion between 3 forms, purely real/imaginary, Argand diagram: CJC (c), HCI 1, MI (b), NJC (b)
    • The half angle trick: DHS (c)
  • More complex problems: 4. Module 5 Complex Numbers

Plan for 4th June

Plan for 28th May

Plan for 21st May

Plan for 14th May

HW 14th-21st May

Tentative plan for 7th May

  • Review any questions from last week/school/tutorial. Invnorm and inequality signs.
  • Sampling discussion Sampling Discussion Questions
    • If $X$ is normally distributed,
    • Sum, $X_1 + \ldots + X_n \sim N(n \mu, n \sigma^2)$, Average/sample mean $\overline{X} \sim N\left( \mu, \frac{\sigma^2}{n} \right)$
    • If $X$ is not normally distributed (unknown, DRV, binomial), CLT (if $n$ is large)
    • Concepts about population, sample, population mean, population variance, sample mean, unbiased estimate of population mean, unbiased estimate of population variance
  • Mixed distributions worksheet: QSS Random Variables

Tentative plan for 30th April

  • Review any questions from last week/school/tutorial
  • Normal past prelim questions: Q4,5,6,8,9,S5_Normal
  • (Next week) Sampling discussion Sampling (no CLT) Worksheet
  • Discuss holiday work

HW for 23rd-30th April

Tentative plan for 23rd April

Tentative plan for 16th April

Tentative plan for 9th April:

Tentative HW for 9th-16th April:

Google Drive

Google Drive I will be storing files in for this period of time:

For the probability worksheet, the questions with asterisks (**) are from the next topic of DRV. Q2c is a tough question. I’ve explained the technique in tackling these sort of questions in two TYS examples in the following youtube videos. You can either look at those videos or ask me to explain to you directly.


Tentative HW plan: 2nd-9th April:

  • Probability Worksheet: Q1-6, 12-15

Tentative plan for 2nd April: