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Maths Revision

Page86 - page137
by

Tan Jing Yi

on 7 November 2012

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Transcript of Maths Revision

Page 86 - page 137 Maths Revision -Egyptian Number System

-Babylonian Number System

-Hindu-Arabic Number System

- Roman Number System Question and Answer
Question: What is number 10 in Egyptian Number System?
Answer: Egyptian Number System Question and Answer
Question: What is number 11 in Babylonian Number System?
Answer: Babylonian Number System Created by: Tan Jing Yi (6G) Number Systems Hindu-Arabic Number System Question and Answer
Question: What is number 19 in Roman Number System?
Answer: xIx Roman Number System Definitions: Any notation that uses two characters.
A Binary number is made up of only 0s and 1s.
Example of Binary Number = 110100
There is no 2,3,4,5,6,7,8 or 9 in Binary!

Question and Answer
Question: What is number 3 in Binary Notation?
Answer: 2+1 Binary Notation Negative numbers: A negative number is a real number that is less than zero. Such numbers are often used to represent the amount of a loss or absence. For example, a dept that is owed may be thought of as a negative increase. Negative numbers are used to describe values on a scale that goes below zero, such as Celsius and Fahrenheit scales.

Prime numbers: A prime is a whole number that only has two factors which are itself and one. A composite number has factors in addition to one and itself.

Composite numbers: Composite number are those numbers which have more than two factors and can be divided by more than just 1 and themselves. Negative numbers/ prime and composite numbers To find the exchange rates of different country, we need to find the equivalent of that country's dollar in other currencies by multiplying!
Question and Answer
Question
If Susan from Australia is going to Canada to buy a pen, paper, an eraser, a clipboard, a calculator and a scissors, what's the prize of each items in Canadian Dollars?
Example: Australian dollars - Canadian dollars
Exchange rates- AUD$1= $0.90 Canadian$
Prices of each items- Pen: $2.50, Paper: $3.90, Eraser: 85c, Clipboard: $3.50, Calculator: $9, Scissors: $4.50
Answer
Canadian Dollars- Pen: $2.25, Paper: $3.56, Eraser: $0.77, Clipboard: $3.15, Calculator: $8.10, Scissors: $4.95 Question and Answer
Question: Find two prime numbers which add to make 78?
Answer: 5 and 73

Question: Find the composite numbers which add to make 26?
Answer: 18 and 8

Question: 3 - 4 =
Answer: -1 Exchange rates Division is splitting into equal parts or groups. It is the result of "fair sharing". Division Question and Answer

Question: There are 21 apples and 3 friends want to share them, how do they divide the apples?

Answer: 21 is divided by 3 is 7. They get 7 each. Factoring is like taking a number apart. It means to express a number as the product of its factors. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite).

The number 24 is a multiple of 3, because it can be divided evenly by 3.

3 x 8 = 24
3 and 8 are both factors of 24.
24 is a multiple of both 3 and 8.

Question and Answer

Question: Two factors of 56?

Answer: 8,7 Factors and Multiples Formula (Bank statement- credit, debit and balance)
To find the balance of bank statement, we need to subtract debit. Operation with Money Withdrawal: Taking money out of the bank account.
Deposit: Putting money into the bank account.
Transaction: An instance of buying or selling.
Salary: Money that you receive for doing a job.
Debit: An entry in an account recording to the sum you owed.
Credit: An entry in an account recording to the sum you received.
Balance: The amount of money in the account.
Cheque: A written agreement to pay money out of your account.
ATM: Automated taller machine.
Eftpos: Electronic funds transfer at point of sale.
Interest: Money paid for used of money that is being lend. Addition is a mathematical operation that represents combining collections of objects together into a larger collection. It is signified by the plus sign (+). Addition and Subtraction A mathematical operation that takes away a quantity from a larger whole.It is signified by the minus sign (−). Question: Alex bought 3 apples, 4 oranges, 2 watermelons and 1 pineapple from a fruit stall. How many fruits did she buy?
Answer: 10 fruits

Question: Suppose that a car dealer has an inventory of 15,258 Honda Accord they have to sell by the end of 2008. Suppose they don't meet their goals and sell only 12456 Honda Accord by the end of 2008. How many cars are left in the back yard?
Answer: 2802 cars Question and Answer To divide a number by ten, we need to move decimal point in the decimal number as many steps forward as there are zeros in the number 10, 100, 1000 etc.
To multiply a number by ten, we need to move the decimal point in the decimal number as many steps backwards as there are zeros in the number 10, 100, 1000 etc. Strategies for dividing and multiplying by tens Question and Answer

Question: What is 38128356 divided by ten?
Answer: 3812835.6

Question: What is 38128356 multiply by ten?
Answer: 381283560 Decimals are used in measurements in everyday life!!!
Example: convert g to kg.....
72800g = 72.8kg
72800 (g) 1000 (g) = 72.8 kg Decimals in everyday life Question and Answer
Question: What is 65750g in kg?
Answer: 65.75kg e.g.
five and three tenths 5.300000
forty-nine and one hundredth 49.010000
two hundred sixteen and two hundred thirty-one thousandths 216.231000
nine thousand, ten and three hundred fifty-nine ten-thousandths 9,010.035900
seventy-six thousand, fifty-three and forty-seven hundred-thousandths 76,053.000470
two hundred twenty-nine thousand and eighty-one millionths 229,000.000081 Reading and Writing Decimals Question and Answer
Question: Write 5 3/10 as decimals!
Answer: 5.3 To subtract a small decimal number from a larger decimal number, write them down with the larger one on top and the decimal points underneath one another. Then calculate the subtraction as you would for whole numbers and line up the decimal point in the answer. Subtraction of decimals Question and Answer
Question: 4.50 - 3.40 = ?
Answer: 1.10 When dividing, the decimal point moves to the left.
Divide by 10- Move the decimal point one place.
Divide by 100- Move the decimal point 2 places.
Divide by 1000- Move the decimal point 3 places. Division of Decimals Question and Answer
Question: 26744.2 1000 =
Answer: 26.7442
When you say "Percent" you are really saying "per 100"

So 50% means 50 per 100
(50% of this box is green) And 25% means 25 per 100
(25% of this box is green)
Examples: Question and Answer:
Question: What is 20/100 in percentage?
100% means all. Answer: 20%
100% of 80 is 100/100 × 80 = 80

50% means half.
50% of 80 is 50/100 × 80 = 40

5% means 5/100ths.
5% of 80 is 5/100 × 80 = 4 Percentages(%) Convert fraction to percentage!!!
Follow these steps:
Step 1: Find a number you can multiply the bottom of the fraction by to get 100.
Step 2: Multiply both top and bottom of the fraction by that number.
Step 3. Then write down just the top number with the "%" sign. Equivalence An number pattern is made by adding some value each time.
Example:
1, 4, 7, 10, 13, 16, 19, 22, 25, ...
This sequence has a difference of 3 between each number.
The pattern is continued by adding 3 to the last number each time.
Example:
3, 8, 13, 18, 23, 28, 33, 38, ...
This sequence has a difference of 5 between each number.
The pattern is continued by adding 5 to the last number each time.
The value added each time is called the "common difference" Patterns
Convert percent to decimal!!!
The easy way to divide by 100 is to move the decimal point 2 places to the left, so....
FROM PERCENT - 75% TO DECIMAL - 0.75
move the decimal point 2 places to the left, and remove the "%" sign. Convert fraction to decimals!!!
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number) Question and Answer
Question: Convert 75/100 to percent!
Answer: 75% To find the area of a triangle, we need to multiply the base by height and then divide by two!
To find the area of a rectangle, we need to multiply the base by height! Area of triangle Question and Answer:
Question: Calculate the area of the rectangle and triangle! 4m 2.2m Answer: Rectangle- 8.8m
Triangle- 4.4m 15 East -> Plus 1 hour
15 West _> Minus 1 hour
Example: If it is midday in your town, what is the time?
30 West ---> 10a.m.
60 East ---> 4p.m Time Zone Question and Answer
Question: It's 3 p.m. in your town now, what is the time: 45 East - ?
Answer: 3p.m. 1t - 1000kg
1kg - 1000g Mass To convert tonnes into kilograms, we need to multiply by 1000.
To convert kilograms into grams, we need to multiply by 1000 too! Question and Answer:
Question: 31000 kilogram ---> ____ tonnes and ____ grams
Answer: 31 tonnes and 31000000 grams Polygons Name Sides Shape
Triangle (or Trigon) 3

Quadrilateral (or Tetragon) 4

Pentagon 5

Hexagon 6

Heptagon (or Septagon) 7

Octagon 8

Nonagon (or Enneagon) 9

Decagon 10 Question: What is a polygon with seven sides?
Answer: heptagon Question and Answer (Polygons)
Types of triangle :
Isosceles
Equilateral
Scalene
Acute
Right
Obtuse To be continue...... You can find if a shape has a Line of Symmetry by folding it.

When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

Here I have folded a rectangle one way, and it didn't work.

So this is not a line of
of symmetry.

But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching):
So this is a Line of Symmetry ---------> Symmetry Question and Answer:
Question: How many lines of symmetry does an octagon have?
Answer: 8 lines of symmetry Graphs are pictures that help us understand amounts. These amounts are called data. There are many kinds of graphs, each having special parts. Graph A circle graph is shaped like a circle. It is divided into fractions that look like pieces of pie, so sometimes a circle graph is called a pie graph. Many times the fractional parts are different colors and a key explains the colors. Line Graph - A graph that shows information that is connected in some way (such as change over time) Bar graphs are an excellent way to show results that are one time, that aren't continuous - especially samplings such as surveys, inventories, etc. Mean
The mean is the average of the numbers: a calculated "central" value of a set of numbers. To calculate: Just add up all the numbers, then divide by how many numbers there are. Mean, Mode and Median Mode
The number which appears most often in a set of numbers.
Example: in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 (it occurs most often). Median
The middle number (in a sorted list of numbers).
To find the Median, place the numbers you are given in value order and find the middle number.
Example: find the Median of {13, 23, 11, 16, 15, 10, 26}.
Put them in order: {10, 11, 13, 15, 16, 23, 26}
The middle number is 15, so the median is 15. Question: What is the mode, median and mean for 2,3,3,3,4,5,8?
Answer: Mode - 3
Median - 3
Mean - 4 Question and Answer ( Mean, Median, Mean ) Very Large Number 1 zero - ten
2 zeros - hundred
3 zeros - thousand
4 zeros - ten thousand
5 zeros - hundred thousand
6 zeros - million
7 zeros - ten million
8 zeros - hundred million Mixed Operations "Operations" mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation.But, when you see something like...7 + (6 × 52 + 3)... what part should you calculate first? Start at the left and go to the right? Or go from right to left?Calculate them in the wrong order, and you will get a wrong answer !
So, long ago people agreed to follow rules when doing calculations, and they are:Order of Operations:
Do things in Brackets First.

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract.

Multiply or Divide before you Add or Subtract. Question and Answer
What is the common difference in this example - 19, 27, 35, 43?
Answer: 8 Question and Answer
Question: How to read this number - 10,000,000
Answer: ten million Question and Answer
Question: 3 + 6 x 2 = ?
Answer: 15 Remainder

The amount left over after division.

Example: 19 cannot be divided exactly by 5.
The closest you can get without going over is 3 x 5 = 15, which is 4 less than 19.

So the answer of 19 ÷ 5 is 3 with a remainder of 4 which is 3 4/5 = 3.8 Remainders as decimals Question and Answer
Question: What is the remainder of 10 divide by 4 as decimals?
Answer: 2 1/2 = 2.5 To add (or subtract) two fractions:

1) Find the least common denominator.

2) Write both original fractions as equivalent fractions with the least common denominator.

3) Add (or subtract) the numerators.

4) Write the result with the denominator. Operations with Fraction Question and Answer Question: Answer: 16/21 Question: What is number twenty one in Hindu- Arabic Number System?
Answer: 21 Question: Complete the balance details. Balance Sheet <---------Answer Question and Answer Question : What type of graph is this? Answer: Pie chart <--- Question In a balance sheet, credit is deposit of money and debit is withdrawal of money. Question and Answer:
Question: Do you subtract or add Eftpos?
Answer: Subtract
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