FINAL TEST 1st SEMESTRY ON HIGH SCHOOL

If you are a student at High School for First Class in Indonesia, you can download this exercise to prepare your Final Test at December 2008 at Subject : Maths..
Exercise Final Test Mathematics Grade 1 on Senior High School

Or, yuo can download for Multiple Choice Type here :
Excercise Multiple Choice Type of Mathematics Final Test

Another Probability

I've made exercise for Probability 2...
For anybody who need this excercise for increase your ability, please download :

Exercise Probability 2

Wow.....I Got Award......

I Got Award....

Wow, I Got Award.....
This Award I got from another Blogger in Indonesia....
Thanks, Mr. Budiawan Hutasoit....
Really...really...surprised to me....

Just for Fun......

1. Johny, Leo, Vincent, James and Fanny undertake to paint a house. It will take Johny, Leo, and Vincent 7 1/2 days to complete the job. When Johny, Vincent and Fanny work together, it will take them 5 days to complete. When Johny, Vincent and James work together, it will take them 6 days to complete. And when Leo, James, and Fanny work together, it will only take them 4 days to complete the paiting job. How long will it take Johny, Leo, James, and Fanny to complete the job if they all worked together...?
2. Mr Harry brought home a bag of sweets for his grandchildren. He gave the first grandshild 2 sweets plus 1/13 of the remaining sweets. He then gave the second grandchild 4 sweets plus 1/13 of the reminder. To the third grandchild, Mr Harry gave 6 sweets plus 1/13 of the reminder. He continued the methode by giving the next grandchild extra sweets than the previous one and 1/13 of the reminder. The last of Mr Harry's grandchild took his share and found that there was no more reminder.Given that each of Mr Harry's grandchildren receives an equal number of sweets, how many grandchildren does Mr. Harry have. Also find the number of sweets each grandchildren receives...?
3. Three men are placed one behind another in front of a wall. The men are blindfolded and told that a hat will be placed on their head taken from a bin conmtaining 3 white and 2 black hats.
4. The blindfolder is then removed and each man is asked to determine the colour of the hat he is wearing. The third man who is furthest from the wall sees the other two men's hat and says, "I cannot tell what colur hat I am wearing." The second man who hears the third man's reply and sees the colour of the hat the first man is wearing says the same thing. The first man after hearing the replies of the other two men says, " I know the colour of the hat I am wearing." Do you know how he came to this conclusion and what is the colour is..?
5. A man with a dog, a rabbit and a bunch of lettuce came to a riverbank. There is only a small boat that can carry the man and one of the animals or the lettuce. The problem for the man is, : If left alone together, the dog will eat the rabbit and the rabbit will eat the lettuce. How can you help the man to transport his animals and his lettuce safely to the other side of the river...?

It's just for funny....Hemmmm....Yummy...spent the time to joke with your friend....

Question This Week.....

There are two questions coming from my visitor :

1.

Tg ( p + q) = ½....(1)

Tg (p – q) = ¹/_3........(2)

Tg 2p = ...?

Answer

:

If : p + q = A  and p – q = B

With elimination we find :

2p = A + B

Tg 2p = Tg (A + B) =

=

2.

Sin (3x + 2y) = ¹/₈......(1)

Sin ((3x – 4y) = ¼ .....(2)

Sin 6y = ....?

Answer :

Misalkan

(3x + 2y) = A ® Sin A = ¹/₈

(3x – 4y) = B ® Sin B = ¼

With elimination we find :

6y = A - B

So sin 6y = sin (A – B)

Sin (A – B) = sin A cos B – cos A sin B

=

I hope my explanation make you clear and can understand.....

EDUCATION EXPO DI SMAK BINA BAKTI BANDUNG

EXPO SMAK 1 BINA BAKTI Bandung, 16 - 18 Oktober 2008

Anuual Education Expo hold by Bina Bakti 1 High School Bandung for this year is different with another years ago. The Educatio Expo which located at Jl. Bima 9 Bandung is show many attraction an proggramme such as ::

• Seminar Mathematics Teacher ; Teaching Mathematics Strategies for Mathematics Teachers region West Java, with speaker by Mr. Ramir S. Austria, MAEA (Dari Philipina - Bimus University)
• Education Fair, followed by many favourite University such as ENHAII, UNPAR, U. MARANATHA, ITHB, BINUS, LIKMI, IDP, MEC, ISS, IELTS, ICAT, Unistart, Vista, Edlink-Cponnex, and Education Insurance Prudential
• Science Fair, shows many students masterpiece in Science (Physics, Biology, Chemistry) at Bina Bakti High School Bandung for supporting learning activity at school.
• Bazaar, which followed by several book publishers, foods products, kids products, etc.
• Talk Show University; by lecturer of Institute of Technology Bandung, Parahyangan University, Maranatha University, Padjajaran University, ENHAII
• Mathematics Competition for Middlke School Region West Java, which is followed by SMPK BPK1 Penabur, SMPK BPK 5 Penabur, SMPK BPK 3 Cimahi, SMP Yos Sudarso Garut, SMPK Yos Sudarso Purwakarta, SMPK Babtis SMPK Yahya, SMPK 2 Bina Bakti, SMPK 1 Bina Bakti, SMP St. Mikael Cimahi
• Dance Competition, followed by : SMPK BPK 5, SMP BPK Taman Holis, SMP Yos Sudarso, SMPK Bina Bakti, SMAK 1 Bina Bakti, SMAK 3 BPK, SMA St. Maria, SMAK PAulus, dan SMAK 2 BPK.
• Art Presentation, such as Dancing , Choirs, and music band.
• Games Arena by Bina Bakti High School Bandung

Please, enjoy some pictures below to describe the situation......

The Principal of Bina Bakti High School (Mrs Lily H. at right)

Bazaar..... Talk Show by Universities

Bina Bakti 1 High School Choir Science Fair........

Seminar Math Teacher that makes us fresh to teach pupils........(by Mr. Ramir.....)

Thank You Mr. Ramir......

Maths Competition for Middle High School Region West Java......

Elimination Stage Final.......

Para Jury at Final Maths Competitions for Middle High School.....

The Result is : 1st, 2nd, 3rd Ranks are from SMP BPK 1 Penabur Bandung, 4th, 5th are from BPK 5 Penabur Bandung. Congratulation....!!!!

Dance Competition......(Come On...!!!...!!!! Chayo !!!!)

The Result is.....: 1st Rank : SMAK 2 BPK, 2nd Rank : SMAK 1 Bina Bakti....

Congratulation...!!!!!

Education Fair.....(Good information....)

Hm...there are so many picts that haven't hang here...buat these pics can describe us how relly lively at Education Expo of Bina Bakti 1 High School Bandung this year...

Congratulations for collegas, pupils and the participants.....

See You Next Year.....!!!!!

Permutations and Combinations

Perrmutations and Combinations

1. The multiplication principle or (r,s) principle

It states that if one operation can be performed in r ways, and a second operation can be performed in s ways, then the two operations can be performed in succession in r x s ways.

Note : The principle can be extended to any finite number of operations

2. Permutaion

(a). A permutaion is an ordered arrangement of all or part of a set of objects in a row.

(b). The umber of permutaion of n different objects taken all at a time (without repetition), is donated by ⁿP_n and ⁿP_n = n ! where n! = n(n – 1) (n – 2) ...x 3 x 2 x 1

(c). The number of permutations or arrangements of n different objects, taken r at a time (without repetition) is donated by ⁿP_r where

(d). The number of permutations of n objects (not all distinc), taken all at a time, where thee are p objects alike of one kind, q objects alike of another kind and the rest are distinct, can be done in . (This result can be exdtended to many finite number of groups of objects).

3. Combination

(a). A combination is a selection of objects in which the order of selection does not matter.

(b). The number of combinations or selections of n different objects, taken r at the time, is donated by

Note : ⁿC_o = 1 ; ⁿC_n = 1 ; ⁿC_r = ⁿC_{n- r}

(c). The number of selections from n different objects, taking any number at a time is 2ⁿ - 1

EXERCISES

1. A sixth from contains the Head Boy, the Head Girl and 8 other students. The form is asked to send a group of 4 representatives to a conference. Calculate the number of different ways i which the group can be formed if it must be contain :

(i). both the Head Boy and the Head Girl

(ii). Either the Head Boy or the Head Girl, but not both

2. Calculate the number of ways in which :

(i). 5 children can be devided in to group of 2 and 3

(ii). 9 children can be devided into groups of 5 and 4

Hence calculate the number of ways in which 9 children can be devided into groups of 2, 3, and 4

3. A row of 10 houses is to be painted in 3 colours, 2 houses ae to be red, 3 to be blue and 5 to be white. Find the number of different ways in which the row of the houses can be painted :

(i). with no restrictions

(ii). Given that the first and the last houses in the row are blue

(iii). Given that the first and the last houses in the row are the same colour.

4. Find the total numbers of different permutations of all the letters of the word RESERVE.

Find the number of these permutations in which :

(i). E is the first letter.

(ii). The two Rs come together

(iii). S and V come at the ends of the permutations.

5. Find the number of ways in which a team of 6 batsmen, 4 bowlers and a wicket-keeper may be selected from a squad of 8 batsmen, 6 bowlers and 2 wicket-keeper.

Find the number of ways in which :

Technorati Tags: permutation,combination,probrability

(i). this team may be selected if it is to include 4 specified batsmen and 2 specified bowlers

(ii). The 6 batsmen may be selected from the 8 available, given that 2 particular batsmen cannot be selected together.

6. Calculate the total number of different permutations of all letters A, B, C, D, E and F when :

(i). there are no restriction

(ii0. the letters A and B are to be adjacent to one another

(iii). The first leter is A, B, or C and the last letter is D, E, or F.

7. A tennis team of 4 men and 4 women is to be picked from 6 men and 7 women. Find the number of ways in which this can be done.

It was decided that 2 of the 7 women must either be selected together or not selescted at all. Find how many possible teams could be selected in these circumstances.

The selected team is arranged into 4 pair, each consisting of a man an a woman.

Find the number of ways in which this can be done.

8. At an art exhibition 7 paintings are to be hung in a row along one wall. Find the number of possible arrangements

Given 3 paintings are by the same artist, find the number of arrangements in which :

(i). these 3 paintings are hung side by side.

(ii). Any one of these paintings in shung at the beginning of the row but neither of the other 2 is hung at the end of the row.

9. A shelf is to contain 7 different books, of which 4 were written by Dickens and 3 by Hardy. Find the number of aangements in which :

(i). no two books by the same author are adjacent

(ii0. the first two books at the left-hand end are by the same author.

10. A editor has space for 6 advertisements, one on each of the first 6 pages of the magazine. Of the 6 advertisements to be displayed, 4 ar for household goods, 1 for gardening equipment and 1 for sports equpipment. In how many different ways can the advertisements appear in the magazine if the 4 advertisements for household goods must appear on consecutive pages ?

Answers :

1. (i). 28 (ii). 112

2. (i). 10 126 ; 1 260

3. (i). 2 520 (ii). 168 (iii). 784

4. 420

(i). 180 (ii). 120 (iii). 20

5. 840, 72, 13

6. (i). 720 (i). 240 (iii). 216

7. 525, 225, 24

8. 5 040 (i). 720 (ii). 1 440

9. (i). 144 (ii). 2 160

10. 144