Lee's Math Tuition

Lee's Math Tuition

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for DSE Math CP and M2
over 40 years of teaching experience
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A-Level Mathematics Mock Paper by Summation Series: 2024 (A-Level Mathematics Mock Exam Papers by Summation Series) 15/04/2024

If you are sitting GCE A-Level Math this year and need more practices, try the following book. It contains two full sets of practice exam papers. Each set consists of 3 papers, Pure Maths 1, Pure Maths 2 and Statistics & Mechanics paper 3, written by me and another experienced teacher Dr Jon Sit.
A-Level Mathematics Mock Paper by Summation Series: 2024 (A-Level Mathematics Mock Exam Papers by Summation Series)

A-Level Mathematics Mock Paper by Summation Series: 2024 (A-Level Mathematics Mock Exam Papers by Summation Series) A-Level Mathematics Mock Paper by Summation Series: 2024 (A-Level Mathematics Mock Exam Papers by Summation Series)

Mød Google Drev – ét sted til alle dine filer 23/12/2021

In primary schools, students sometimes are asked to find the time when the hour and minute hands of a clock overlap. For example, after 1 p.m., when will the hands overlap? Our impression tells it is about 1:05 p.m. But can we find the exact time? Below is the solution.
At 1 p.m., the two hands form an angle of 30 degree.
Let the time be t minute after 1 p.m. Then
since the minute hand turns 6 degree/min whereas the hour hand turns 0.5 degree/min
therefore 6t=0.5t+30
t=60/11=5 5/11
So, the required time is exactly at 1: 5 5/11 p.m., consistent with our impression.
Can we find when the hands next overlap or when the hands form a right angle, a straight line or any angle? Is there a general formula?
Click the following link if you want to know more.

Mød Google Drev – ét sted til alle dine filer Med Google Drev kan du gratis få opbevaret dine filer ét sted, hvor de sikkerhedskopieres og nemt kan nås fra en hvilken som helst telefon, tablet eller computer. Start med 15 GB Google-lagerplads – gratis.

08/10/2021
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