Kim and Mel agreed to meet at Lovely Lake at 10 30. Both girls left their house at 10 10. Lovely Lake is 24 km due south of Kim’s house. Mel’s house is north-east of Lovely Lake and is 18 km away from Kim’s house.



Calculate
(a) the bearing of Kim’s house from Mel’s house.
(b) the distance between Lovely Lake and Mel’s house.
(c) the bearing of Mel’s house from Lovely Lake.
The two friends want to be on time.
(d) Find the speed at which each of them must travel to be on time for the meeting.
(Hint: Draw a diagram before attempting to solve the problem.)

luv,
ms ang

Policemen, Mr Peter and Mr Roger, are doing a search-and-rescue operation at Sunshine Town yesterday. The team of policemen has to search a triangular area PQR for Mrs Queen’s baby. Mr Peter is stationed at point P and Mr Roger is stationed at point R. Point Q is where Mrs Queen’s house is located.


Mr Peter is 32 km away from Mrs Queen’s house and 40 km away from Mr Roger. Mrs Queen’s house is southwest of Mr Peter and the bearing of Mr Roger from Mr Peter is 120o.
(a) Calculate the area PQR which the policemen have to search.
(b) Find the distance between Mr Roger and Mrs Queen’s house.


Suddenly, Mr Peter heard a cry and spotted Mrs Queen’s baby in a bush at point B inside the triangular area PQR. The bearings of the baby from Mr Peter and Mr Roger are 174o and 065o respectively.
(c) Calculate how far away Mr Peter is from the baby so that he can be there as soon as possible.
(Hint: Draw a diagram before attempting to solve the problem.)

luv,
ms ang

Take a look at the conversation between Klever and Cutie below and fill in the blanks.




luv,
ms ang

Klever and Cutie are playing a game in the classroom while waiting for Ms Ariel to come to class. They ask you to join in the fun!




luv,
ms ang

It is Greenson’s birthday party! Ariel has brought a present to the party. However, Greenson must find all the angles of the objects found at the party so that he can have the present.

Imagine you are Greenson and want to have the present. Using geometric construction set (pencil, ruler and protractor), find all the angles in the cartoon strip and measure them. Write the name of this angle in brackets.

luv,
ms ang

Remove
a. one match stick so that only four squares remain.
b. two match sticks so that only three squares remain.
c. three match sticks so that only three squares remain.
d. four match sticks so that only two squares remain.
e. five match sticks so that only three squares remain.

luv,
ms ang

Some challenging questions for the "challenging" students. =)


1. Triangle
Given a triangle where a unit circle is drawn with each vertex as the centre. Calculate the total area of the shaded region in the diagram above.


2. Star
Calculate the sum of the angles of the star shaded in the diagram above.


3. Cone
Consider a right circular cone.
Explain why when you cut the curved surface of the right circular cone and flatten it into two-dimension, you expect to get a sector (a sector is part of a circle like a shape of a pie of a pie chart).
Hence, show that the area of the curved surface of the right circular cone can be expressed as A=πrl, where r is the base radius of the cone, l is the length of the curved surface of the cone.


luv,
ms ang

Problem Solving Techniques

1. Understand the question
2. Devise a plan
3. Carry out the plan
4. Check the answers

Good Maths Habits
Check
Simplify
Step by step

luv,
ms ang