I like to write about mathematical and science related topics. Each hubpage has been written in an easy to understand way, but including all the important stages in the method. You will find a wide variety of math related help pages from basic number work to advance calculus. So if you are getting stuck on your homework or just need to brush up on your math then you will find pleny of math help here.
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5 years ago
Sometimes you will be asked to reflect a shape on a coordinate grid. If the question asks you to reflect the shape in the x-axis then the x-axis is acting as the mirror line. If the question asks you to reflect the shape in the y-axis then the...
5 years ago
More non-math facts about the number 28: In chemistry, 28 is the atomic number of nickel. In biology, the average human menstrual cycles is 28 days. The shortest month of the year with 28 days is February. In astrophysics, the surface of the...
5 years ago
More non-math facts about the number 29: In religion, there are 29 principles given by Guru Jambheshwar. In music, “29” is a song by The Gin Blossoms. Other song titles which include 29 in their name are “29 X the pain”, “29 ways”...
5 years ago
Here are some math facts about the number 30: The number 30 is an even number – the 15th even number. The number 30 has 8 factors which are 1, 2, 3, 5, 6, 10,15 and 30. Also the prime factors of 30 are 2, 3 and 5. The prime factor...
5 years ago
Here are some math facts about the number 44: The number 44 is an even number – the 22nd even number. The number 44 has 6 divisors which are 1,2,4,11,22 and 44. Two are these factors are prime factors which are 2 and 11. 44 can also be...
5 years ago
Fun facts about the number 45 In music, there are lots of songs with the number 45 in them, some of these include, “45 and Fat” by Baby bird, “45” by Elvis Costello and in the song “Brimful of Asha” by Cornershop the number 45 is...
5 years ago
Some interesting non-math facts about the number 46: In chemistry, 46 is the atomic number of Palladium. In human biology, there are 46 human chromosomes. There are 22 pairs of autosomes and one pair of sex chromosomes. In religion, 46 is the...
5 years ago
Math facts of the number 47 The number 47 is the 24th odd number. The number 47 only has 2 divisors - so the number 47 is a prime number. It is also the fifteenth prime number (2, 3, 5, 7, 11, 13, 17, 19,23,29,31,37,41,43 and 47) The square...
5 years ago
Here are some math facts about the number 50: The number 50 is an even number – moreover it’s the 25th even number. The factors of 50 are 1,2,5,10,25 and 50 – so 50 is divisible by 6 numbers. The prime factors of 50 are 2 and 5 (as these...
5 years ago
The main property of a trapezium (as known in Great Britain) or trapezoid (as known in the United States) is that it is a 4 side shape with exactly one pair of parallel sides. Depending on how the trapezium is drawn determines how many lines of...
7 months ago
Here you will be shown how to simplify expressions involving brackets and powers. The general rule is: (xm)n = xmn So basically all you need to do is multiply the powers. This may also be called the exponent bracket rule or indices bracket rule...
21 months ago
Finding the modal class from a grouped frequency table is actually quite easy to do. All you need to do is to look for the group that has the highest frequency. This is because the mode is the number that comes up the most times. Make sure you write...
6 years ago
The cumulative frequency can be calculated by adding up the frequencies in the frequency table. Start by writing the first frequency cumulative frequency columns and keep adding on the next frequency onto the last cumulative frequency. Lets’...
16 months ago
The surface area of a triangular prism can be found in the same way as any other type of prism. All you need to do is calculate the total area of all of its faces.
2 years ago
The density, mass and volume triangle is as follows: So if you wanted to work out the density, you would cover up density in the magic triangle to give: Density = Mass/Volume (since mass is above volume) So if you wanted to work out the...
4 months ago
A composite shape or compound shape is a shape that is made from other shapes such as two rectangles (L-shape) or a triangle and a rectangle. If you are going to calculate the area of a composite shape then you need to break up composite shape into...
3 months ago
The mean average from an ungrouped frequency table can be found by following these three simple steps: Step 1. First you will need to add a new column onto the end of the frequency table. You can label this column fx as you are going to multiply...
6 years ago
Here you will learn all the basics of fractions. You will find help on converting between improper and mixed numbers, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, equivalent fractions and simplifying fractions.
5 years ago
The method for converting a recurring decimal into a fraction is a little bit unusual. To do this you need to make some equations which eliminate the decimals. This is much easier to see if we carry out some examples. Note: In the examples that...
6 years ago
In this Hub I will show you what a reciprocal graph looks like. The most simple types of reciprocal graphs take the form of y = A/x where A can be a positive or negative value. Let’s take a look at a couple of examples of reciprocal graphs and...
6 years ago
On this page you will be shown the method for working out the area of a circle, a semicircle (half a circle) and a quadrant (a quarter of a circle). The area of a circle can be found by using the formula A = πr². The symbol π is Pi and is a...
5 years ago
If you are given an amount and you need share this amount by a ratio then you can apply the following 3 steps to solve the problem: Step 1 Add up all of the parts in the ratio. Step 2 Divide the amount by your answer from step 1. This will...
4 months ago
A compound H-shape is made up of 3 rectangles. Make sure you can work out the area of an L-shape first before you attempt this one. If you are finding the area of a compound H-shape all you need to do is split the H-shape up into 3 rectangles and...
6 years ago
In lower grade math questions a word can be used to describe the probability of an event happening. If an event is never going to happen then you can describe the probability as impossible. For example, the probability of rolling a 7 on an...
7 months ago
Here you will be shown to work out the area and perimeter of a C shape. A C shape is a compound shape made up of 3 rectangles. Make sure you know how to find the area and perimeter of an L shape before you attempt this lesson on C shapes. To work...
6 years ago
Sometimes you will be asked to simplify a surd or write the surd in the form a√b. To do this you will need to think of two integers that multiply together to give the number underneath the surd. One of the numbers must be a square number so that...
6 years ago
A perpendicular line is a line that is at right angles to another line. If you multiply the gradients of these lines together you will get -1. So if the gradient of the first line is m then the gradient of the second line is -1/m: Perpendicular...
22 months ago
To calculate the 3 point moving averages form a list of numbers, follow these steps: 1. Add up the first 3 numbers in the list and divide your answer by 3. Write this answer down as this is your first 3 point moving average. 2. Add up the next 3...
22 months ago
Speed, distance and time can be calculated using a magic triangle. D (the distance) goes in the top of the triangle, S (speed) goes in the bottom left of the triangle and T (time) goes in the bottom right of the triangle. If you want to calculate...
6 years ago
Before you attempt enlarging shaping with negative scale factors make sure you can enlarge shape with positive scale factors. In order to enlarge a shape with a negative scale factor: a) First make sure that you have marked on the centre of...
5 years ago
There are 3 main angle facts to get to grips with in your math exams: 1) Angles on a straight line add up to 180⁰ (also known as angles in a half circle) 2) Angle around a point add up to 360⁰ (also known as angles in a full circle) 3)...
18 months ago
Pythagoras and trigonometry (basic) both work in right angled triangles. In this hub you will be shown how to choose the correct one. Pythagoras is used when you have a right angled triangle and you need to work out one of the missing side...
6 years ago
A square is probably one of the first mathematical shapes that you will recognise. Here are a few more mathematical facts about a square: A square has four equal side lengths. All the interior angles of a square are 90⁰ (right angles). Since...
23 months ago
A quick way to divide by 0.5 or ½ is to double the number (or multiply number by 2). The reason for this is because two halves go into a whole.
6 years ago
Given a 3D shape drawn on isometric paper (triangular paper) you could be asked to draw the side elevation, the front elevation or the plan. The plan view is probably the hardest one to carry out as this is the view you will see if you were...
6 years ago
The exponential function is probably one of the easiest functions to differentiate as the derivative is the same function. This means that the derivative of exponential is exponential: So if y = ex then dy/dx = ex However, a more useful result...
6 years ago
If you have a number sequence then the numbers in the sequence are called the terms. So if you are asked for the term to term rule then you are looking for a rule that takes you from the previous term in the sequence to the next term in the...
7 years ago
A histogram is can be drawn if the data you have is continuous and the groups are of unequal width. A histogram looks a bit like a bar chart except that the y-axis represents the frequency density. So the first thing to calculate when drawing a...
7 years ago
Long division is a similar method to short division. The only difference being is that you put more working out down underneath the division. If you are not to good dividing and taking numbers away in your head then long division will stop you...
6 years ago
A quadrilateral is the name given to any shape with 4 sides. All the angles in a quadrilateral will sum to 360⁰. In this hub we will take a look at the main quadrilaterals that come up in math tests and list their main mathematical properties: A...
7 years ago
Working out the volume of a triangular prism is basically a two step problem: First you will need to calculate the cross-sectional area of the triangular prism (area of the triangle at the front of the shape). To find the area of a triangle...
5 years ago
A mixed number is a number that is made up of a whole number and fractional part. It may also be referred to a mixed fraction. 3 ¼ is an example of a mixed number. An improper fraction is a fraction where the numerator is larger than the...
5 years ago
In math exams you may be asked to round your answers off to 2 decimal places, so this hub will show you how to do this. If you are dealing with money problems then the answer will have to be given to the nearest whole or to 2 decimal places. ...
5 years ago
What is Pythagoras used for? Pythagoras (or Pythagoras Theorem) is used to calculate an unknown side length of a right angled triangle. What information do you need to know to carry out Pythagoras? You will need to know the lengths of 2 other...
5 years ago
If you are asked to rotate a shape then you need to turn the shape around. In most questions the rotations will be: ¼ turn or 90⁰ turn ½ turn or 180⁰ turn ¾ turn or 270⁰ turn Also make sure that the shape is turned the correct way...
4 months ago
If you are asked to translate a shape then you need to move the shape to a new position on the coordinate grid. Usually, the directions of the translation are given in terms of a vector. The vector contains 2 numbers which are written vertically...
2 years ago
A quadrant is a quarter of a circle. So to work out the area of a quadrant, first work out the area of the whole circle (use the formula A = π ×r²) and then divide the answer by 4. Alternatively, you could substitute the radius of the quadrant...
5 years ago
If you take a part of the circumference of a circle then the distance along this arc is called the arc length. So since the arc length is part of the circumference of a circle, then the arc length of the sector can be found by using the following...
7 years ago
A line of a reflective symmetry can be placed through a shape so that one side of the shape is a mirror image of the other side of the shape. A good method to decide if a shape has reflective symmetry is to draw the shape out on paper and cut it...
5 years ago
Before you can work out a percentage profit first you need to understand a few terms: Buying Price (cost price) – this is the amount you purchased your item for (usually from the warehouse) Selling Price – this is the amount that you sold...
7 years ago
A rectangle is probably one of the first shapes you recognise, but knowing all of the mathematical of a rectangle is a little trickier. Here are the main mathematical properties of a rectangle, many obvious but others less so. A rectangle is a...
5 years ago
Finding the median average from a frequency table can first be done by working out the total frequency. Now the median number is the middle value - so you need to halve the total frequency. This number is where the median value occurs at. So go back...
7 years ago
Thought I would write this hub to help you understand metric measurements of length, weight and volume. The main metric units of length are: millimetres (1 mm is about the width of a tip of a pencil) centimetres (1 cm is about the length of a...
7 years ago
The double angle trigonometric identities can be derived from the addition trigonometric identities: Basically, all you need to do change all of the B’s to A’s. Let’s start off with the sine addition identity: sin (A+B) = sinAcosB +...
18 months ago
If you are asked to work out the product of two numbers then you need to multiply the two numbers together. If you are asked to find the sum of two numbers then you need to add the numbers together.
7 years ago
If you are asked to write down all the integers that satisfy the inequality -3 < x ≤ 4, then you are looking for all the values of x that are more -3 and less than or equal to 4. This is because -3 < x means x > -3 (x is more than 3) and x...
7 years ago
In this hub I will explain the difference between inverse proportion and direct proportion. If m is directly proportional to n then the formula is: m = kn If m is inversely proportional to n then the formula is: m = k/n k is known as...
7 years ago
If y is directly proportional to x, then the formula connecting y and x is y = kx. Direct proportion means as x increases then so does y. k is known as the constant of proportionality and this is found by substituting the boundary conditions...
6 years ago
In this hub page I will show you how you can prove the cosine rule: a² = b² + c² -2bcCosA First of all draw a scalene triangle and name the vertices A,B and C. The capital letters represent the angles and the small letters represent the side...
3 years ago
In this hub I will go over some of the more mathematical topics that will have a high proabability of showing on this years maths GCSE non-calculator foundation exam. All the topics covered here are grade D and C topics, so these are the ones to...
5 years ago
BODMAS, BIDMAS and BEDMAS all help you to carry out operations in the correct order. For younger students it is a good idea to start off with BODMAS: Brackets Orders of Division Multiplication Addition Subtraction Once a...
5 years ago
In order to take a reciprocal of a number all you need to do is divide the number into 1. That is: Reciprocal = 1 ÷ your number Reciprocals can be useful in calculus and working out the gradient of a normal line. Example 1 Take the...
7 years ago
If a maths problem asks you to round your answer to an appropriate degree of accuracy then you need to look at the numbers in the question and see what these numbers have been rounded to. So for example, if the numbers in the question have been...
7 months ago
To work out a fraction of a number all you need to do is divide the number by the denominator of the fraction and multiply this answer by the numerator. Example 1 Work out 3/8 of 48. First of all divide 48 by the denominator: 48 ÷ 8 =...
5 years ago
Ratios can be simplified in exactly the same ways as a fraction. All you to do is divide both sides of the ratio by the greatest common divisor of the two numbers in the ratio. Let’s take a look at a few examples on simplifying a ratio. Example...
7 years ago
Short multiplication is one of the easiest methods to use when multiplying a number by a single digit number. All you need to do is work from right to left and multiply each digit in your number by the number you are multiplying by. It’s easier to...
5 years ago
When a number is rounded off, the lower bound is the smallest possible value that the number could have been, and the upper bound is the highest possible value that the number could have been. Let’s take a look at a few questions on finding...
3 months ago
If the angles in a triangle are given as algebra (usually in terms of x), and you are asked to find out the size of each angle, then you can follow these 3 simple steps to find all of the angles. Step 1 Add up the 3 angles that are given and...
5 years ago
A bearing is a 3 digit number measured clockwise from a north line (north is 000⁰) If the question asks you to work out the bearing of B from A follow these steps: Step 1. First of all join the points A and B with a line. Step 2. Draw a...
5 years ago
Probability is the likelihood of an event happening. Using a fraction is the easiest way to express probability and this can be done by using the following formula: (Number of successful outcomes)/(Total number of outcomes) Probability can...
7 months ago
In this hub I will show you how to find the area of circle giving your answer in terms of Pi (π). First of all you need to remember the formula for calculating the area of a circle: A = πr² A stands for area, π stands for Pi and r is...
7 years ago
A cube number is found by multiplying a number by itself 3 times. A tiny 3 on the top right of a number means you have to cube the number. Example 1 Work out the cube of 2 (which can be written as 2³). To work this out, all you need to do...
21 months ago
Find the nth term of a quadratic number sequence.
8 years ago
In this article we shall be covering some more worked example on rearranging a formula (making subjects). All the examples below only require one inverse to solve. All you need to do is to apply the inverse operations to both sides of the formula...
5 years ago
To find the perimeter of a semicircle follow these 2 simple steps: Step 1 First find the arc length of the semicircle (the curved edge of the circle). Do this by multiplying Pi by the diameter of the semicircle and halving your answer. You can...
2 years ago
A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the...
7 months ago
Finding the nth term of a decreasing linear sequence can by harder to do than increasing sequences, as you have to be confident with your negative numbers. A decreasing linear sequence is a sequence that goes down by the same amount each time....
22 months ago
The nth term of a number sequence is a formula that gives you the values in the numbers sequence from the position number (some people call it the position to term rule). Example 1 Find the nth term of this sequence. 5 8 11 14 17 First of...
5 years ago
To find the area of a semicircle first you need to find the area of the whole circle and divide your answer by 2, as a semicircle takes up half the space of a circle. To find the area of the circle use A=π×r2. (A stands for the area of the...
7 years ago
Short circuit is a 1986 science fiction comedy starring Ally Sheedy and Steve Guttenberg. A highly experimental and dangerous robot created by the military accidentally gets struck by lightning and comes to life. The robot (known as number 5),...
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