Alfred Ajibola
- 01st February, 2026 @ 09:30 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.
Algebraic expression in mathematics utilizes symbols, especially variables like x and y, which are used represent unknown numbers and relationships, and are manipulated to solve for unknown values.
The addition and subtraction in algebraic expressions is simple and straightforward. It involves combining like terms (that is: same variable and same exponent) by adding or subtracting their numerical coefficients, while the variable part remain the same. The aim of the process is to simplify expressions, and solve for unknown values.
Please read on the use of BODMAS in mathematics here.
Below are some important terms in Algebra:
Variables: These are alphabets like 'x, y, z' that represent unknown numbers, and are manipulated to solve for unknown values.
Like Terms: These are terms with identical variable(s) raised to the same power. For example (2x2 and -6x2). Always take note of the 'plus or minus' sign present in front of the variable or coefficient when collecting like terms.
Coefficients: These are numbers in front of the variables. For example 2 is the coefficient in 2x2. When a number isn't present before the the variable, such variable has a coefficient value of 1.
Please read on linear equations here.
Below are steps to take when adding or subtracting algebraic expressions:
Identify Like Terms: Group terms with the same variables and exponents. For example 2x and 6x are like terms.
Combine Coefficients: Add or subtract the numbers (coefficients) of the like terms. In the above instance (2x and 6x), we will either add or subtract the coefficient since they are both like terms.
Keep the Variable: The variable part stays the same. In the above instance (2x and 6x), the variable 'x' remains the same after addition or subtraction. That is: 2x + 6x = 8x
Please read on multiplication and division in algebra here.
Please read on the addition and subtraction of fractions here.
Simplify the following:
Example 1
Solution
Since 2a and +10a are like terms, we'll add their coefficient and keep the variable.
Example 2
Solution
Since 6y and -2y are like terms, we'll subtract their coefficient and keep the variable.
Example 3
Solution
b and +9b are like terms and can thus be added.
b + 9b + 5a + 4c
10b + 5a + 4c
Or 5a + 10b + 4c
Example 4
Solution
4x and +3x are like terms and can thus be added
4x + 3x - 5y
Example 5
Solution
5y and -10y are like terms and can thus be subtracted
5y - 10y + 8z
Example 6
Solution
3m, -8m, -2m and -4m are like terms and can thus be subtracted
3m - 8m - 2m - 4m + 16m2
-11m + 16m2
Or 16m2 - 11m
Example 7
Solution
6p and -2p are like terms while -2q and +5q are also like terms
6p - 2p - 2q + 5q + 4r + 3s
Example 8
Solution
-2x and +10x are like terms and can thus be added
15 - 2x + 10x
Please read on expressing one quantity as a fraction of another here.
Please read on word problems in fractions here.
Simplify the following:
7x - 5y + 4
11x + 9y - 7x
13a + b - 9a + 7b
5f - 3g - 7f + 9g + 3f - 4g
7m - 2n + 6 - 5m + 7n + 3
3x + 2 - 7x - 4 + 5x + 6
a - 7b + 8c + 8b + 2a
5b + 8k + 2 - 3k - 2h
6m + 3m - 1 - 6m + 4
a - 2b - 4a + 3c + 4a + 5b
6p - 2q + 4r - 2p + 3s + 5q
Please read on mathematics week 10 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