Topics in MathematicsConversion of Number Bases explained with examples Angles: Types and Categories of Angles Lines and Types in Mathematics Number Base System - Table showing the Number Bases with explanations Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Trigonometry - Sine, Cosine and Tangent explained with worked examples Quadratic Equation - Factorization of Quadratic Equation Algebra - Explanation and Worked Examples on Algebra
Academic Questions in Mathematics
Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____.
The two sides that forms an angle are referred to as the _____.
The point where the two sides of an angle meet is termed the _____.
How many digits are there in -223.00
30% of 2 is equal to _____.
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Angles, triangles, squares, circles, cubes, cones and cylinders are all part of geometry in mathematics.
Geometry is the branch of mathematics that deals with the study of shapes, sizes and dimensions of a variety of things.
As a mathematics student, understanding angles is very important because it’s vital in building, constructions and designs.
Sailors use angles to navigate their path along the sea while a carpenter can apply them to make beautiful designs of his job.
Amazingly, sport men and women can utilize angles in making an excellent performance. For instance, the use of angles can be applied in taking throws in basket ball while a footballer can actually use it to curl a free-kick into the football net.
By definition, an angle is a figure formed by two sides sharing a common endpoint.
For instance, an angle is formed where two walls in the corner of our homes meet OR at the point where the two arms of a scissors meet.
Note: The two sides that forms the angle are called Arms or Rays while the endpoint where both sides meet is called the Vertex.
The figure below illustrates this:
Note: The angle formed will depend on the amount of turn between each arm.
Angles can be labeled mainly in two ways
1. By using the three letters on the shape of the specific angle
Importantly, the angle is formed on the middle letter; which is its vertex.
In tha above diagram, the angle will be labeled as ∠ ABC
2. By giving the angle a name:
The name are often denoted with a Greek letter like α (alpha) or θ (theta). Also, we can also name the angle with a lowercase letters like p or q.
Still using the above diagram as a basis, the angle will be labeled as ∠α
An angle can be categorized as either interior or exterior based on where they are formed with regards to a shape.
Interior angles are formed inside a shape. In the above diagram, the angle is formed inside a pentagon. (A pentagon has 5 sides and 5 angles).
Exterior angles are formed outside a shape via a line extending from the adjoining sides.
Please read on the Type of Lines in Mathematics here.
The type and name of an angle can be determined based on it’s measurement.
If we increased the size of the angle to a certain degree, the name of the angle changes automatically.
For instance, an angle less than 90o is named as an acute angle but as soon as we increase the size of the angle to 90o, its name changes to a right angle.
The photo below shows the various types and names of Angles:
Acute Angle: An angle that is less than 90o
Right Angle: An angle that is exactly 90o
Obtuse Angle: An angle that is greater than 90o but less than 180o
Straight Angle or Angle on a Straight Line: An angle that is exactly 180o
Reflex Angle: An angle that is greater than 180o but less than 360o
Complete Angle or Full Rotation Angle: An angle that is exactly 360o
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Amazing facts in Mathematics
31,556,926 seconds makes one year
From 0 to 1000, the only number that has the letter “a” in it is “one thousand”.
The division symbol "÷" is actually called an obelus
Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself.
40 is spelt as FORTY and not
FOURTY. It is the only number that is spelt with letters arranged in alphabetical order 🙄
An odd number is a number that cannot be divisible by 2.
Every odd number has an “e” in its spelling. They include:
555 in Thailand should sound like “hahaha”. This is because the word 5 means “ha” in Thailand
10! Actually means 10 factorial.
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
3628800 seconds is the same as 42 days
42 days is the same as 6 weeks
When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321
With regards to numbers,
Forty is the only number that is spelt with letters arranged in alphabetical order.
One is the only number that is spelt with letters arranged in descending order.
NOTABLE POINTS IN Mathematics
Circumference in mathematics means the distance around the edge of a circle (or a another curverd surface).
Perimeter means the distance around a square or rectangle or polygon.
Circumference is to circle or any other curved surface
Image Credit: Ducksters
Perimeter is to square or rectangle or polygon
Image Credit: Maths is Fun