Symmetry Alternative Assessment

Pls download the following file to work on for your Alternative Assessment.

https://docs.google.com/present/edit?id=0AWRBxqPvDRabZHJzNTZrbV85OWN6bXA5amY0&hl=zh_TW&authkey=CMiUqKEE

Email : commonbirdwing16@gmail.com

Revision Exercises, Worked Problems and Tips for Exams

I will start a series of Revision exercises here including self-marking excel files, worked solutions in powerpoint and some common errors to observe. Hope this will help you revise your work well.

Links to Revision 1 Exercises and Worked Problem Sums

Revision 1 Excel foe checking
https://spreadsheets.google.com/ccc?key=0AmRBxqPvDRabdDlNbXNUbmNZbUpQMVA2N2oydGt6V3c&hl=en&authkey=CKGX5LIB


Revision 1 Problem sums solutions
https://docs.google.com/present/edit?id=0AWRBxqPvDRabZHJzNTZrbV8weG5tNG5nYzg&hl=en&authkey=CJ_nx9UD


Revision 1 Solutions
https://docs.google.com/leaf?id=0B2RBxqPvDRabMjYxNDYwODEtYjU3Yi00OGVlLTk5N2ItZTQ4Nzg5ZDNiZTk1&hl=zh_TW&authkey=CML86fwI


 COME BACK FOR MORE!

Butterfly of the Week - Knight

Whenever the word Knight is mentioned, you probably will think of a warrior riding on a horse. I have great respect for this butterfly, partly because of its name. Mainly, it has beautiful design on its wings which resembles that of a Hawk or an Eagle. The tips of its wings show the design that resembles the Eagle's Head. It's often found in the forest, sometimes at parks. Hope you like it, do write me your reflection.

Maths Olympiads 2010 Questions and Solutions

1. What is the value of the following?
(8 x 4)+(8 x 3)+(8 x 2)+(8 x 1)

Solutions :
Method 1
You just need to know your timestable well to get this questions correct.
32+24+16+8=80

Method 2
Understand that there is a Distributive Law which allows you to add first before multiplying, that is
(8 x 4)+(8 x 3)+(8 x 2)+(8 x 1) = 8 x (4+3+2+1) = 8 x 10 = 80

Find out more about the other laws from the weblink below
http://www.mathsisfun.com/associative-commutative-distributive.html

Q2. A bag contains 18 jelly beans, 4 are red, 6 are white and 8 are blue. Amanda takes them out one at a time without looking. What is the fewest jelly beans she must take out to be certain that at least 2 of the jelly beans she takes out are blue?

Method : Consider the worst case scenario
4 red + 6 white + 2 blue = 12 jelly beans

Q3. A prime number is a counting number with exactly two factors, the number itself and the number 1. In the sequence 2, 5, 11, 23, ... each number is obtained by doubling the previous number and adding 1.What is the first number in the sequence that is not a prime number?

Solution :
You should know about prime numbers before you can attempt this question. Using listing method and checking each number. Noticed that the first four numbers are all prime numbers.
2, 5, 11, 23,...
Continue to list...
47, 95...
95 is not a prime number because it is a multiple of 5.

Quick Answers for the rest of the questions:

4. 120 seconds
5. 66 cm
6. 182
7. 22
8. 26
9. 14 cm
10. 10 marbles
11. 9375
12. $13
13. 24 hours
14. 8 tiles
15. 71
16. $12
17. 12 paths
18. 6 hours
19. 58 cards
20. 27 cubes

Two Fractions Weblinks

Here are what you did in today's P4 Maths Enrichment. The fractions weblinks are as shown.

Clara’s Ice-cream Shop (Fraction)

http://www.mrnussbaum.com/icecream/index.html

Tony’s Fraction Pizza Shop

http://www.mrnussbaum.com/tonyfraction.htm

Painted Cubes

What is a cube?
A cube is a 3 dimensional object with 6 similiar square faces.
All the sides of the cube are of the same size.

If each side of the cube is 1 unit, then the cube can also be called unit cube.
The dimension of the cube is 1 x 1 x 1
Now if we stack up more cubes to a dimension of 2 by 2 by 2 and paint it all round including the base as shown.

If all the cubes are separated, how many of the cubes have

1 face painted?
2 faces painted?
3 faces painted?
no face painted?

If we set up another set of cubes to a dimension of 3 by 3 by 3 as shown and have it painted all round just like before.

If all the cubes are separated, how many of the cubes have
1 face painted?
2 faces painted?
3 faces painted?
no face painted?

Hope you could think harder to answer the questions.

Butterfly of the Week - Plain Tiger

The Plain Tiger is one of the common butterflies in Singapore. Common in the sense if the host plant (Crown Flower) is present, then it will be around. The caterpillars are rather active but can be cruel too. If there's not enough leaves to feed, then some caterpillars will actually feed on the soft newly formed pupae of its own specie. (that puts me off!) It is also known as African Monarch. The pupae looks like jade pendant. Here it is, hope you will like it!