Alfred Ajibola
- 01st February, 2026 @ 09:14 PM
Topics in Mathematics
Linear Equation in Mathematics Word Problems leading to Algebraic Expression BODMAS in Algebra Multiplication and Division in Algebra Addition and Subtraction in Algebra Multiplication of Number Bases Subtraction of Number Bases Addition of Number Bases Division of Number Base Number Base Conversion Number Base System Significant Figures Rounding Off Numbers Decimal Place Value Fraction Word Problems Word Problems in Fraction Multiplication and Division of Fractions Addition and Subtraction of Fractions Expressing One Quantity as a Percentage of Another Expressing One Quantity as a Fraction of AnotherAcademic Questions in Mathematics
What type of polygon is shown in the above image?
A. Nonagon
B. Decagon
C. Octagon
D. Hexagon
E. Hepagon
F. Pentagon
Which of the following is not part of a circle?
A. Section
B. Sector
C. Segment
D. Semicircle
E. Secant
F. Center
What angle is shown in the above image?
A. Complementary
B. Supplementary
C. Acute
D. Obtuse
E. Reflex
F. Straight
An angle greater than 90o but less than 180o is termed _____.
A. Complementary
B. Supplementary
C. Acute
D. Obtuse
E. Reflex
F. Straight
Factorize 12a2 - 20a + 3
A. (6a - 1)(2a - 3)
B. (6a - 1)(2a + 3)
C. (6a + 1)(2a - 3)
D. (6a + 1)(2a + 3)
E. (-6a + 1)(2a - 3)
F. (-6a + 1)(2a + 3)
Simplify 10ab + 7ab
A. 17ab2
B. 17a2b2
C. 3ab2
D. 3a2b2
E. 17ab
F 3ab
Which of the following is not a type of angle?
A. Right angle
B. Left Angle
C. Acute Angle
D. Complete Angle
E. Straight Angle
F. Reflex angle
Two lines that can never meet each other are best considered as _____ lines.
A percentage refers to a number (or ratio) expressed as a fraction of 100. A percentage is denoted via the percent sign '%'.
Examples of percentages include the following:
10/100 = 10%
20/100 = 20%
30/100 = 30%
40/100 = 40%
50/100 = 50%
60/100 = 60%
70/100 = 70%
80/100 = 80%
90/100 = 90%
100/100 = 100%
110/100 = 110%
120/100 = 120% and so on.
Please read on expressing one quantity as a percentage of another here.
To convert a percentage to a fraction, we will need to place the percentage value (as given in the question) over 100. For example 50% becomes 50/100.
The next step is simplifying the fraction to its lowest terms. In our example, 50/100 simplifies to 1/2.
Note: If the percentage is a decimal, multiply the numerator and denominator by a power of 10, (or 100, thousand and so on) to remove the decimal before simplifying.
Please read on place value of numbers and decimals here.
Convert the following percentages to fraction:
Example 1
Solution
10/100
1/10
Example 2
Solution
45/100
9/20
Example 3
Solution
78.2/100
Convert decimal to whole number by multiplying the numerator and denominator by 10
782/1000
39.1/50 = 391/500
Example 4
Solution
60.8/100
Convert decimal to whole number by multiplying the numerator and denominator by 10
608/1000
7.6/12.5 = 76/125
Example 5
Solution
90.5/100
Convert decimal to whole number by multiplying the numerator and denominator by 10
905/1000
18.1/20 = 181/200
Example 6
Solution
65/100
13/20
Please read on the conversion of decimals to fractions here.
In order to convert a fraction to a percentage, we will simply divide the numerator (top number) by the denominator (bottom number) to get a decimal, after which we shall multiply the decimal by 100, and add a percent sign (%).
Another method of converting fraction to percentage is via multiplying the fraction by 100%. This is shown in the examples below.
Please read on the conversion of fraction to decimals here.
Convert the following fractions to percentage.
Example 1
Solution
Multiply the fraction by hundred
35/100 x 100
3500/100
35%
Example 2
Solution
Multiply the fraction by hundred
13/4 x 100
1300/4
325%
Example 3
Solution
Multiply the fraction by hundred
31/50 x 100
3100/50
62%
Example 4
Solution
Convert 1 1/2 to improper fraction
3/2
Multiply the fraction by hundred
3/2 x 100
300/2
150%
Example 5
Solution
Multiply the fraction by hundred
217/300 x 100
21700/300
72.3%
Please read on word problems in fractions here.
1. Convert the following percentages to fractions.
22%
72.5%
33%
99%
30.25%
150%
335%
1025%
2222%
5600%
2. Convert the following fractions to percentages.
12/15
3/5
9 7/8
8/3
22/11
50/100
19/56
30/27
200/250
1024/3000
3. Convert the following decimals to percentages.
0.5
22.5
3.142
1.75
0.009
49.900
32.105
4. Convert the following percentage is to decimals.
99%
30.25%
150%
3.35%
102.5%
22.22%
5.600%
Please read mathematics week 4 topic for jss1 first term here.
Please read mathematics scheme of work for jss1 first term here.
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Amazing facts in Mathematics
The opposite sides of a dice will always give a sum of seven
31,556,926 seconds makes one year
From 0 through 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 sounds like 'hahaha'. This is because the number '5' means 'ha' in Thailand
In mathematics, 10! means 10 factorial. Below is its calculation:
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
Interestingly, 3628800 seconds is the same as 42 days
42 days is the same as 6 weeks
We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics
When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321
Notable points in Mathematics
Let's use algebra to explain the simple statement below:
I am a number. When you subtract 3 from me, the result is 9. what number am I ?
Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.
Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:
Let the number be y
y - 3 = 9
y = 9 + 3
y = 12
The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ. Below are some points to note:
Hypotenuse is always the longest side of the triangle.
Opposite is the side opposite the angle (θ)
Adjacent is the shorter side next to the angle (θ)
Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:
soh
Sin θ = Opposite/Hypotenuse
cah
Cos θ = Adjacent/Hypotenuse
toa
Tan θ = Opposite/Adjacent
Circumference in mathematics means the distance around the edge of a circle (or a another curved surface).
Circumference is to circle or any other curved surface
Perimeter means the distance around a square or rectangle or polygon.
Perimeter is to square or rectangle or polygon