Alfred Ajibola
- 01st February, 2026 @ 09:09 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.
The Highest Common Factor (HCF) refers to the largest positive integer that divides two or more numbers perfectly without leaving a remainder.
The Highest Common Factor is also referred to as the Greatest Common Divisor (GCD), or Greatest Common Factor (GCF).
Below are steps (through the long division method) in finding the HCF of numbers:
Step 1: Divide the numbers in the question by a smaller number (divisor). This divisor must divide the numbers evenly (that is; without leaving a remainder).
Step 2: Repeat the same process in step 1 until the results above (quotients) cannot be divided evenly. In some cases, all the quotients perfectly divides (evenly) to give us 1 (without any remainder).
Step 3: Find the HCF by multiplying all the divisors in step 1 and 2 respectively.
Please read on the factors of numbers here.
Please read on the use of BODMAS in mathematics here.
Example 1
Solution
| 2 | 54 | 36 | 72 |
| 3 | 27 | 18 | 36 |
| 3 | 9 | 6 | 12 |
| 3 | 2 | 4 |
HCF = 2 x 3 x 3
Answer: HCF = 18
Example 2
Solution
| 2 | 216 | 288 | 360 |
| 2 | 108 | 144 | 180 |
| 2 | 54 | 72 | 90 |
| 3 | 27 | 36 | 45 |
| 3 | 9 | 12 | 15 |
| 3 | 4 | 5 |
HCF = 2 x 2 x 2 x 3 x 3
Answer: HCF = 72
Example 3
Solution
| 2 | 48a2y2z2 | 60a2yz | 30ayz |
| 3 | 24a2y2z2 | 30a2yz | 15ayz |
| a | 8a2y2z2 | 10a2yz | 5ayz |
| y | 8ay2z2 | 10ayz | 5az |
| z | 8ayz2 | 10xlaz | 5z |
| 8ayz | 10a | 5 |
HCF = 2 x 3 x a x y x z
Answer: HCF = 6ayz
Example 4
Solution
| 3 | 36a2b2c | 18a2b2c | 15a2b2c |
| a | 12a2b2c | 6a2b2c | 5a2b2c |
| a | 12ab2c | 6ab2c | 5ab2c |
| b | 12b2c | 6b2c | 5b2c |
| b | 12bc | 6bc | 5bc |
| c | 12c | 6c | 5c |
| 12 | 6 | 5 |
HCF = 3 x a x a x b x b x c
HCF = 3 x a2 x y2 x z
Answer: HCF = 3a2y2z
1. Find the HCF of the following:
63, 42 and 21
144, 216 and 360
280, 105 and 175
126, 234 and 90
166, 96 and 224
2. Find the 1/4 of the HCF of the following:
16, 24 and 48
166, 96 and 224
144, 216 and 360
Please read on mathematics week 3 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