Hello and welcome to my maths website!!! This site will be updated regularly during the school year. I will update it less in the holidays and weekends but will keep at this so when I get to year 10/11 I have all the info I need to help with my GCSE's and hopefully, if you come on here, it will help you too!

Manga High

If your stuggeling with your times tables, then play the game on Manga High that helps with times tables up to 15!

Note

Here are a few websites (To the left), the majority are for maths, some are GCSE or A Level help, and some are for other subjects.

IMPORTANT NOTICE!

If for any reason things don't show in a widget, and it doesn't say "please type here", then please move the widget to make it show the writing.

Notices

Year 9 maths! Awesome!

Calendars

Calendar

Tue July 26 - LAST DAY OF SCHOOL!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mon July 25 - Thorpe Park trip!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Lessons/Homework

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7X1 14/07/11

Today class 7X1 have been making pages like this on protopage.com. Our homework and class work is to work on these pages.

H/W

Make a starter for the maths lesson on Friday 26th October 2012

7X1 19/07/11

Today we carried on with our prtopages, and then we went on MangaHigh and completed the set challenges. I had already completed the challenges, but someone had overtaken my best score, so my challenge was to beat their best score and be back on top of the leaderboard.

Challenges

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Challenges Complete

Add and subtract terms with multiple letters bronze achieved, fire starter. Substitute whole numbers into algebra bronze achieved, fire starter. Coordinates silver achieved, fire starter Add and subtract terms with multiple letters silver achieved, fire starter

JUKU Challenges!

Mixed numbers and top heavy fraction: Gold achieved (16,040 score)

Extra Challenge

Gold achieved on add and subtract terms with single letters on Monday Silver achieved on Order of Operations on Monday

Sequences

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How to find the Nth term

The Nth term is the algebraic code for a sequence E.G 2N is 2, 4, 6, 8, 10. This is because N is the sequence number like 10 is the 5th term in the sequence so therefore N=5. 2N is 2 times N. To get a simple Nth term for a sequence like 5, 10, 15, 20, 25 you would; find the difference, 5, and that is N so this is 5N. Then the first number is 5 so the term is only 5N. For a more complex sequence like 7, 13, 19, 25, 31 the difference is 6 each time so is 6N and to get from 6N to 7 you need +1 so the term is 6N+1. For an even harder one like: 30, 24, 18, 12, 6 the term is more complex. Because the term goes down by 6, the Nth term begins -6N. to get from minus 6 to 30 you need to add 36 so the Nth term is -6N+36 or it could be 36-6N. Now you know how to find the Nth term, try it out in the collum to the right!

Have a go!

Work out the Nth term for the next five sequences... Scroll down for answers and scores! 1. 7, 14, 21, 28, 35 2. 9, 13, 17, 21, 25 3. -4, -1, 2, 5, 8 4. 30, 24, 18, 12 5. 5, 10, 15, 20, 25 Answers! 1. 7N 2,4N+5 3.3N-7 4.-6N+36 5. 5N Scores 1-2 Work on it 3 good work 4-5 GREAT!

Algerbra in sequences

The algebra in sequences is N. Like in normal algebra you can only add, subtract, multiply, and divide in sequences.

N

N simply means number in a sequence.

Common Mistakes

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COMMON MISTAKES!!!!!!!!!

READ IT PROPERLY!!! If you don't read a question properly you will misunderstand it and write the wrong answer. USE YOUR HEAD!!! Think twice about your answer and don't just put what comes to mind, like my friend was asked to put 1/1 or 1.0 as a fraction... they put 1% because they didn't think properly. CHECK PAGE NUMBERS!!! Watch out for page numbers, because you could miss out some pages and, of course, get an awful level/grade. TRY ALL QUESTIONS!!! If there is a question your not sure on then just put in what you think, or what you can do - you could get it right! CHECK ALL ANSWERS!!! If you finish early, then check a couple of times and answer all question you didn't have time to do.

Scientific Calculator Mistakes

When getting an average on a scientific calculator for a sequence like 5, 9, 8, 4, 2, 1 most would type 5+9+8+4+3+1/6 and that would make 30. This is incorrect because scientific calculator work on BIDMAS, so it would do the division first and give you 30. You should put the addition in brackets so it would be (5+9+8+4+3+1)/6 and the true answer would be 5

Fractions!

When adding fractions some people add the fractions together without looking for a common denominator, or scaling the numerator to the denominator. Some people make the same common mistake with subtraction.

Numbers

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Inverse Operations

An Inverse Operation is an opposite math symbol of the basic four. The inverses are: X and / (Multiply and Divide) and + and - (Plus and Minus)

Multiplication

Positive X Positive =Positive Positive X Negative = Negative Negative X Negative = Positive Negative X Positive = Negative Odd X Odd = Even Even X Even = Even Even X Odd = Odd Odd X Even = Odd

Types of numbers

There are loads of different typed of Numbers; Natural, integer, whole, negative, positive, odd and even.

LCM

LCM Stands for lowest common multiple. The lowest common multipe is the lowest multiple that two numbers share. For example, the LCM of 3 and 7 is 21 because this is the lowest multiple both have.

Prime Numbers

A prime number is a number that will only divide by itself and 1 into a whole number.

BIDMAS

BIDMAS is the code from which scientific calculators work. BIDMAS stands for: Bracets, Indices, Division, Multiplication, Addition and Subtraction. This means you should answer sums by starting with work in the brackets, then indices - like squared, square root etc. - then do the division in the sum, followed by multiplication, then addition and finally subtraction. So the answer to a sum like (7-2)+14 is 19 because 7-2 is 5 and 5+14 is 19.

Mean/Average

To get the mean (average) you need to add all the numbers in a series then divide it by how many numbers you added together.

Range

In a series of numbers, take the smallest number from the biggest to get the range.

Median

To find the Median, put all the numbers in a series in order from smallest to largest and find the middle number. If there is 2 numbers in the middle then find the mean of them.

Natural Numbers

Natural numbers start with 1 because we naturally start with the number 1.

Mode

The mode is the number that comes up most in a series of numbers.

Integer

An integer number is any number from negative infinity all the way up to positive infinity

Whole Numbers

A whole number is a number with no decimal point, starting at 0start at 0.

Negative Numbers

A negative number is a number below 0 and it goes to negative infinity - Numbers like -42 or -837.

Positive Numbers

Positive numbers are numbers that start at 0 and go up to infinity, like 473 or 91.

Odd Numbers

Odd numbers are like 1, 3, 5, 7, 9 and 11 and are every other number.

Even Numbers

Even numbers are numbers that are not odd. They are numbers like 2, 4, 6, 8 and 10. They are also every other number.

Chances of winning the lottery

Here are the different prizes and the chances of winning them: JACKPOT (matching all six numbers): 1 in 13,983,816 FIVE PLUS THE BONUS: 1 in 2,330,636 FIVE: 1 in 55,491 FOUR: 1 in 1,032 THREE: 1 in 57 You'd better be careful if you buy your lottery ticket more than a day before the draw, as there is more chance of dying than winning the jackpot! And just for interest, here are some other chances: The chance of winning ANY prize: 1 in 54 (about 2%) The chance of only matching 2 numbers: 1 in 7.5 (about 13%) The chance of only matching 1 number: 1 in 2.4 (about 41%) The chance of not matching ANY numbers: 1 in 2.3 (about 44%)

Mirror numbers

Mirror numbers are simple. They are numbers that mirror themselves halfway through like 121 or 45254. The middle number is like the mirror.

Quick fact about Fibonacci's Series

The gap in the sequence is the same as the sequence itself, nearly... It starts: 0, 1, 1, 2, 3, 5, 8, 13. (the only difference is the start at zero).

The Fibonacci Series

This is a aequence of numbers, and each number in the sequence equals the last two numbers' sum. If the first two numbers in the series are 1 and 1, then the next number is 1+1=2. The next number is 1+2=3 then 2+3=5 and so on. The series starts 1 1 2 3 5 8 13 21 34 55 89 144 ... To get the Nth term of the series, you use the Fibonacci Formule.

Negative number sequences

In multiplication sequences for negative numbers, it gets quite complex. The basics are that if there is an odd amount of negative numbers, the answer will be negative. If there is an even amount of negative numbers, the answer will be positive.

Well known algebra sums

A squared+B squared=C squared E=MC squared

Indices Rules

If you are multipling numbers with indices, than there is a short cut. If the base number is the same than are the same than add the indices. E.G 10 to the power of 7 X 10 to the power of 5 = 10 to the power of 12 If you are dividing, it is different. Again the base numbers have to be the same but instead of adding, you do the inverse operation and subtract the indices from eachother. E.G 10 to the power of 7 / 10 to the power of 3 = 10 to the power of 4 Another rule is that when you get an answer to the power of 0, the answer will always be 1. To get to the power of zero you will need a sum like: 10 to the power of 2 / 10 to the power of 2. There are a few other indices aswell, like a half or a third... and any other fraction for that matter. If you get a fraction like a half, it means the square root. For a third, it is the cube root. This is the same for any other fraction. When using brackets, like (2 cubed) to the power of 5, you multiply the indices together. This answer would be 2 to the power of 15. Also, remember that when a number has no indicies, it means it has an indice of 1 that we do not see.

Fractions

The denominator is the bottom number, while the numerator is the top number of a fraction. When adding fractions you first find the common denominator and then add the numerators together. Subtraction is similar; find a common denominator, but this time subract the numerators. For multiplying fractions just multiply the numerators together and the denominators together. For division, flip the second fraction over (E.g, 3/7 would become 7/3), then multiply the new fractions together.

Factorised numbers

If you see a number followed by an ! then it simply means that you multiply it by every number before, for example, 5! would mean 1X2X3X4X5 so the answer would be 120. The ! also means you are factorising a number.

Shapes

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Shapes

There are lots of different types of shapes, but the first is 2D and 3D shapes. 2D shapes have height and length like squares and circles. 3D shapes also have depth like cubes and spheres.

Types of Shapes

There are loads of different types of shapes; a shape with 3 sides is called a triangle, a shape with four sides is called a quadrilateral, a shape with 5 sides is called a pentagon, and so on.

Quadrilaterals

The shapes in the quadrilaterals group are; parallelogram, rectangle, rhombus, square, trapezium and kite.

Triangles

The types of triangle are; Equilateral, Isosceles, Scalene and Right angle

Area and Perimeter

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Difference between area and perimeter

Area is the amount of area in the centre of a shape whereas perimeter is the distance on the outside

How to find Area

To find the area, split a shape into rectangles and squares to make it easier. Now that you have done this, find the length of the sides and multiply the two perpendicular ones together, then just add up all the answers and you will have the perimeter.

how to find perimeter

Perimeter is the easiest, as it is the length around the outside. To find it, get the length of all the sides and add them all together. Now you have the perimeter!

Volume

In 3D shapes you can get something called volume. This is how much you can fit in side it. To work it out all you have to do is get get the height, length and width. For a cube all the are the same so if 1 side is 10CM then the sum would be 10X10X10 to get 1000CM cubed. For a cuboid, only 2 of the numbers would be the same and 1 would be longer for example, 2X2X4. This would be 16CM Cubed volume.

Photos

Cuboid Example

To the power of...

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To The Power of intro

To the power of is like 2 to the power of 4 This means 2X2X2X2 so 4X2X2 or 8X2 which is 16. A couple of the to the power of numbers have names like to the power of 2 is called squared and to the power of 3 is cubed.

Squared

Squared is a number times itself like 7X7, and the answer to a sum like this a square number, the square number for this sum is 49.

Cubed

A cubed number is a number times itself twice like 3X3X3 which makes a cube number, and the cube number for this is 27 because 3X3 is 9 and X3 is 27.

Algebra

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Quadratic Equations

Quadratic equations such as (X+3)(X+5) Will have a predictable outcome. The will Always have X squared + (the two other numbers X) + (the 2 numbers mulpitplied together) The answer in this case would be: X squared+8X+15

Simultaneous equations

In similatanious equations, there are 2 equations with the same letter values. You have to work out the value of these letters. In an equation like this; 3X+4N=29 7X+8N=61 You first find the lowest common multiple of one of the letters - in this case it's 4N times 2 is 8N. Since you multiplied one value, you have to multiply all the values in the top equation by 2. The values in the second equation stay the same, as 8N didn't change. Now your equation will look like this; 6X+8N=58 7X+8N=61 Now you must find the difference between the X values and the answers to the sums, in this case 1X=3. Now that you know this, you can use substitution to work out that N=5.

Making X the subject of the equation

When something says make X the subject of the equation, it simply means change the equation to start it as X=...... In something like X+2Y=7 you would start X= then make the +2Y a negative, and put it behind the 7. So the answer is X=7-2Y. You can check answers with substitution, using easy numbers like 1 to 9.

Quiz Time!

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Question 1

What is -12 X 10?

Answer 1

-120

Question 2

What is -11 X -11?

Answer 2

121

Question 3

There is a bag of 12 marbles and Sarah picks one; 5 are black, 2 are orange, 3 are blue and 2 are yellow. Which is she most likely to pick?

Answer 3

Black

Question 4

Find the Nth term for the next 5 sequences: 7, 18, 29, 40, 51

Answer 4

11N-4

Question 5

12, 19, 26, 33, 40

Answer 5

7N+5

Score board

This will tell you your maths ability according to how many questions you got incorrect passed on: 30 or more Incorrect: Keep trying 20-29 Incorrect: Ok score 10-19 Incorrect: Good! 5-9 Incorrect: Brilliant! 0-4 Incorrect: Excellent work!!!

Question 6

43, 32, 21, 10, -1

Answer 6

-11N+54 OR... 54-11N

Question 7

49, 32, 15, -2, -19

Answer 7

-17N+66 OR... 66-17N

Question 8

4, 27, 50, 73, 96,

Answer 8

23N-19

Question 9

One side of a cube is 6cm, what is the voulume of the cube?

Answer 9

216CM Cubed

Question 10

What is 3 to the power of 4?

Answer 10

Question 11

What is 2 to the power of 9?

Answer 11

512

Question 12

What is 5 cubed?

Answer 12

125

Question 13

What is 1 to the power of 47?

Answer 13

Question 14

What is 6 cubed?

Answer 14

216

Question 15

Using BIDMAS, what is 56/8-9/3?

Answer 15

Question 16

(0.08) squared

Answer 16

0.0064

Question 17

7X£371.13

Answer 17

£2597.91

Question 18

1/2=?/16

Answer 18

8/16

Question 19

Simplify 4 to the power of 7 X 4 to the power of 8

Answer 19

4 to the power of 15

Question 20

Simplify 7 to the power or 3 X 7 to the power of -3

Answer 20

7 to the power of 0

Question 21

Simplify 9 to the power of 9 / 9 to the power of 4

Answer 21

9 to the power of 5

Question 22

Simplify 2 to the power of -2 / 2 to the power of -4

Answer 22

2 to the power of -6

Question 23

Work out 10 to the power of 0

Answer 23

Question 24

Work out 2 to the power of 8

Answer 24

256

Question 25

Simplify 4 to the power of 6 X 4 to the power of 3 X 8 to the power of 9 X 8 to the power of 12

Answer 25

4 to the power of 9 X 8 to the power of 21

Question 26

3X + 2Y - 1X + 12Y =

Answer 26

2X + 14Y

Question 27

-7X + 4Y + 12X - 7Y + 9X = ?

Answer 27

14X - 3Y

Question 28

14X - 9Y - 3X + 17Y = ?

Answer 28

11X + 8Y

Question 29

-7X - 9Y - 18X - 5Y = ?

Answer 29

-25X - 14Y

Question 30

219X + 432Y + 1732X + 1429Y = ?

Answer 30

1951X + 1861Y

Question 31

Simplify (3X cubed) squared

Answer 31

3squaredX to the power of 6

Question 32

Simplify 4Y squared x 3Y to the power of 5

Answer 32

12Y to the power of 10

Question 33

Simplify 12Y to the power of 17 x 10Y squared

Answer 33

120Y to the power of 34

Question 34

Simplify 29Y to the power of -19 x 3 to the power of 5

Answer 34

87Y to the power of -95

Question 35

Simplify 9Y to the power of -7 x 4Y to the power of -13

Answer 35

36Y to the power of 91

Question 36

Work out 1/2 + 5/8

Answer 36

1 and 1/8 OR 9/8

Question 37

Work out 4/7 + 1/3

Answer 37

18/21

Question 38

Work out 3/7 + 5/8

Answer 38

1 and 3/56 OR 59/56

Question 39

Work out 3/4 - 3/8

Answer 39

3/8

Question 40

Work out 10/13 - 2/3

Answer 40

4/39

Question 41

Work out 3/7 - 1/8

Answer 41

17/56

Question 42

What is 2/3 X 5/6?

Answer 42

10/18

Question 43

What is 7/9 X 2/12?

Answer 43

14/108

Question 44

What is 18/23 X 3/4?

Answer 44

54/92

Question 45

What is 7/4 divided by 3/9?

Answer 45

63/12

Question 46

What is 7/13 divided by 3/12?

Answer 46

84/39

Question 47

What is 9/21 divided by 6/32

Answer 47

298/126

Question 48

Solve X-12=3X-18

Answer 48

X=3

Question 49

Solve 3X+8=8X+18

Answer 49

X=-2

Question 50

Solve 9X-4=6X+17

Answer 50

X=7

Challenge/game medal+score

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Score

Transtar: PERFECT SCORE AND ALL GOLD ON TRANSTAR!!!!!!!!!!!!!!!!!!!! (1,197,000) Save our dumb planet: 11,332 Sigma Prime: 26,002 Ice Ice Maybe: 16,609 Flower Power Lite: 8,993 Algebra Meltdown: 56,156 BIDMAS Blaster: 106,825 BIDMAS Blater Lite: 27,150 Sigma Prime Lite: 79,155 Pyramid Panic Lite: 92,355

Todo lists

Game medals

Pyramid panic lite Complete Zone 1: The Underworld Bronze

Pyramid panic lite Complete Zone 1: The Underworld Silver

Pyramid panic lite Complete Zone 1: The Underworld Gold

Pyramid panic lite Complete Zone 2: The Catacombs bronze

Pyramid panic lite Complete Zone 2: The Catacombs silver

Pyramid panic lite Complete Zone 2: The Catacombs gold

Pyramid panic lite Complete Zone 3: The Temple bronze

Pyramid panic lite Complete Zone 3: The Temple silver

Pyramid panic lite Complete Zone 3: The Temple gold

Pyramid panic lite Complete Zone 4: The Pyramid bronze

Pyramid panic lite Complete Zone 4: The Pyramid silver

Pyramid panic lite Complete Zone 4: The Pyramid gold

Sigma prime lite Finish a game bronze

Sigma prime lite Finish a game silver

Sigma prime lite Finish a game gold

Save our dumb planet Complete Levels 1 to 6 bronze

Save our dumb planet Complete Levels 1 to 6 silver

Save our dumb planet Complete Levels 1 to 6 gold

Save our dumb planet Complete Levels 7 to 12 bronze

Save our dumb planet Complete Levels 7 to 12 silver

Save our dumb planet Complete Levels 7 to 12 gold

Save our dumb planet Complete Levels 13 to 18 bronze

Save our dumb planet Complete Levels 13 to 18 silver

Save our dumb planet Complete Levels13 to 18 gold

Transtar Complete all zones in Sectors 01 to 03 bronze

Transtar Complete all zones in Sectors 01 to 03 silver

Transtar Complete all zones in Sectors 01 to 03 gold

Transtar Complete all zones in Sectors 04 to 05 bronze

Transtar Complete all zones in Sectors 04 to 05 silver

Transtar Complete all zones in Sectors 04 to 05 gold

Transtar Complete all zones in Sectors 06 to 07 bronze

Transtar Complete all zones in Sectors 06 to 07 silver

Transtar Complete all zones in Sectors 06 to 07 gold

Transtar Complete all zones in Sectors 08 to 10 bronze

Transtar Complete all zones in Sectors 08 to 10 silver

Transtar Complete all zones in Sectors 08 to 10 gold

Some Math Facts

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Top 18 most useless number facts voted by Murderous Math

1. If you multiply 1089 x 9 you get 9801. It's reversed itself! This also works with 10989 or 109989 or 1099989 and so on. 2. 1 is the only positive whole number that you can add to 1,000,000 and you get an answer that's bigger than if you multiply it by 1,000,000 3. 19 = 1 x 9 + 1 + 9 and 29 = 2 x 9 + 2 + 9. This also works for 39,49,59,69,79,89 and 99. 4. 153, 370, 371 and 407 are all the "sum of the cubes of their digits". In other words 153=13+53+33 5. If you divide any square number by 8 you get a remainder of 0, 1 or 4. 6. 2 is the only number that gives the same result added to itself as it does times by itself 7. If you multiply 21978 by 4 it turns backwards 8. There are 12,988,816 different ways to cover a chess board with 32 dominoes. 9. Sixty nine squared = 692 = 4761 and sixty nine cubed = 693 = 328509. These two answers use all the digits from 0 to 9 between them. 10. You can chop a big lump of cheese into a maximum of 93 bits with 8 straight cuts 11. In the English language "forty" is the only number that has all its letters in alphabetical order. 12. 1 ÷ 37 = 0·027027027... and 1 ÷ 27 = 0·037037037... 13. 132 = 169 and if you write both numbers backwards you get 312 = 961. This also works with 12 because 122 = 144 and 212 =441. 14. 1/1089 = 0·00091827364554637281... (And the numbers in the 9 times table are 9,18,27,36...) 15. 15.8 is the only cube that is 1 less than a square. 16. To multiply 10,112,359,550,561,797,752,808,988,764,044,943,820,224,719 by 9 you just move the 9 at the very end up to the front. It's the only number that does this. (Thank goodness!) 17. The number FOUR is the only number in the English language that is spelt with the same number of letters as the number itself 18. 1x9 +2 = 11 , 12x9 +3 = 111 , 123x9+4 = 1111 and so on.

Guess the most Pathetic and useless fact

It was... Take a guess... Scroll down... Work it out... What do you think it is... It was... It was fact number 11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Yes; In the English language "forty" is the only number that has all its letters in alphabetical order, was the most pathetic and useless fact!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Pathetic facts sent in by visitors to Murderous Maths

TWENTY NINE is the only number that is written with as many strokes as its numerical value! (You need to write Y with 3 strokes and it has to be all capitals) There are 169,518,829,100,544,000,000,000,000,000 ways to play the first ten moves in a game of chess! 3,608,528,850,368,400,786,036,725 has 25 digits and divides by 25. BUT... it you just take the first N digits, the result will divide by N. For example, 360852 are the first 6 digits and 360852 divides by 6. 1729 is the lowest number that can be expressed as the sum of two cubes in two different ways! In other words: 1729= 93+ 103 OR 13+ 123 "One octillionth" is the lowest positive number to contain a letter "c". How mind numbingly useless - we salute you Philip! "ONE" is the only number in the English language to have its letters in reverse alphabetical order. The biggest number you can make with three digits and any operators is9! to the power of 9! to the power of 9! (9!=9x8x7x6x5x4x3x2x1). Here is a peculiar sum: TWELVE PLUS ONE is an anagram of ELEVEN PLUS TWO. 111,111,111 x 111,111,111 = 12,345,678,987,654,321. The Spanish word for five is "cinco" and it's the only Spanish number to have the same number of letters in its name. (See fact 17) 1 ÷ 14 = 0.0714285714285714285... and 7,14, and 28 are factors and multiples of 14 and the 5 tells you how many digits 71428 has before they repeat! If you want to add all the numbers 1-10 , you just divide the 10 by 2 then write the answer out twice=55. Also all the numbers 1-100 is 100/2 written twice i.e. 5050. This also works for 1-1000, 1-10000, 1-100000 etc! 144 is the twelfth number in the Fibonici series 144 and it is also twelve squared! 12 + 22 + 32 + 42 + 52 +... +222 + 232 + 242 = 702 1274953680 has two odd things about it: it uses all the digits 0-9 AND you can divide it exactly by any number from 1-16.