Alfred Ajibola
- 01st February, 2026 @ 09:16 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.
Expressing one quantity as a fraction of another simply means to make a correct fraction of a given values in a question.
To correctly express one quantity as a fraction of another, place the first quantity as the top number (numerator) and the second quantity (the whole) as the bottom number (denominator), and simplify the fraction if need be. However, ensure that the quantities are in the same units, then simplify the fraction if possible.
Note: The numerator in a fraction shows the part number while the denominator shows the whole number. For example, to express 1 as a fraction of 2, it becomes 1/2. 1 is the part number in this instance, while 2 is the whole number.
Please read on the conversion of fractions to decimals here.
Example 1
Solution
Fraction = 4/12
14/123
Example 2
A class of 40 students comprise of 25 boys and 15 girls. Express the number of boys and girls as fraction in relation to the class.
Solution
Fraction of boys in class = 25/40
525/408
Fraction of girls in class = 15/40
315/408
Example 3
Solution
Convert to same units. Let's convert meters to centimeters in this instance
5m = 500cm
Let's express 50cm as a fraction of 500cm
Fraction = 50/500
150/50010
Example 4
Solution
Fraction -> 32/80
To find the percentage score, multiply the fraction by 100.
2/5 × 100 = 200/5
40200/51
Example 5
Solution
To calculate for good oranges, fist find the number of good oranges:
Total oranges - bad oranges = good oranges
400 - 40 = 360 good oranges
Fraction of good oranges = 360/400
Fraction of good oranges = 9/10
Percentage of good oranges = 9/10 × 100 = 900/10
90900/101
Calculate for bad oranges:
Fraction of bad oranges = 40/400
Fraction of bad oranges = 1/10
Percentage of bad oranges = 1/10 × 100
100/10
Percentage of bad oranges = 10%
Example 6
Solution
1 week -> 7 days
6 weeks -> y days
Cross multiply
y days × 1 = 6 × 7
y = 42 days
Therefore, 6 weeks = 42 days
To calculate the fraction of 42 days in 6 days;
6/42
16/427
Example 7
Solution
Convert to same unit. Let's convert meter to kilometer in this instance.
1000m -> 1km
440m -> y km
Cross multiply
y km × 1000m = 440 x 1km
Make y the subject of the formula
y km = 440 × 1/1000
y = 440/1000
y km = 11/25km or 0.44km
Therefore, 440m = 11/25km or 0.44km
Let's express 1.5km as a fraction of 0.44km
0.44/1.5 = 44/1500
22/75
Example 8
Solution
Convert to same unit. Let's convert mm to cm.
10mm -> 1cm
4mm -> y cm
Cross multiply
y cm × 10 = 4 × 1
Make y the subject of the formula
y cm = 4 × 1/10
y cm = 4/10
y cm = 2/5cm or 0.4cm
Therefore 4mm = 0.4cm
Let's express 0.4cm as a fraction of 10cm
0.4/10 = 4/100
Example 9
Solution
Convert to same unit. Let's convert 1minute 30 seconds to seconds.
60 seconds = 1 minute
1 minute 30 seconds = 60s + 30s = 90s
Let's convert 1 hour to seconds
60 minutes = 1 hour
60 seconds = 1 minute
1 hour to seconds = 60 × 60 = 3600 seconds.
Now, let's express 90 seconds as a fraction of 3600 seconds
90/3600
Example 10
Solution
Convert to same unit. Let's convert liter to ml in this instance.
1000ml -> 1l
Therefore, 1liter = 1000ml
Now, let's express 75ml as a fraction of 1000ml
75/1000
Example 11
Solution
Total number of students= y + z
Fraction of boys in the school = number of boys / Total students
Please read on expressing one quantity as a percentage of another here.
Please read on the multiplication and division of fractions here.
What fraction of 1 minute is 15 seconds.
Express 2 hours, 20 minutes as a fraction of 5 hours, 15 minutes.
What fraction of 500g is 2kg.
What fraction of a dollar is 40 cent.
Express 40 minute as a fraction of an hour.
Express 650m as a fraction of 1km.
What fraction is 4 minute 30 seconds of 12 minutes.
Express 23 weeks as a fraction of 1 year.
Please read on the addition and subtraction of algebra here.
Please read on mathematics week 5 topic for jss1 first term here.
Please read on 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