Alfred Ajibola
- 01st February, 2026 @ 09:25 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.
Number base conversion in mathematics involves changing how a number is represented from one base system to another. For example, the conversion of a number represented in base A (for example, base 2) to base B (let's say base 8).
The procedure for number base conversion is quite simple and straightforward. This process typically involves the following steps:
Identify the place value of each digit in the original number using powers of the original base (Base A), starting from 0 for the far right digit and increasing by one for each position to the left.
Multiply each digit by its corresponding place value.
Sum all the products to get the equivalent number in base 10.
Convert the Base 10 number to the desired base (Base B) by using the repeated division method. This will require you to divide the base 10 number by the new base (Base B).
Record the remainder in each division until the quotient becomes zero and the remainder, a digit which should be lower than base B.
Write the remainders in reverse order (that is: from bottom to top) to obtain the number in the new base (base B).
Please read on binary number base system here.
Please read on the division of number bases here.
Example 1
Solution
Step 1: Convert 3410 to base 10
(3 × 53) + (4 × 52) + (0 × 51) + (1 × 50)
375 + 100 + 0 + 1 = 47610 or 476
Step 2: Convert 477 to the required base in the question.
Let's convert 476 to base 4
476 ÷ 4 = 119 R 0
199 ÷ 4 = 29 R 3
29 ÷ 4 = 7 R 1
7 ÷ 4 = 1 R 3
1 ÷ 4 = 0 R 1
Read in reverse order
Let's convert 476 to base 8
476 ÷ 8 = 59 R 4
59 ÷ 8 = 7 R 3
7 ÷ 8 = 0 R 7
Read in reverse order
Example 2
Solution
Step 1: Convert 1256 to base 10
(1 × 83) + (2 × 82) + (5 × 81) + (6 × 80)
512 + 128 + 40 + 6 = 68610 or 686
Step 2: Convert 686 to the required base in the question.
Let's convert 686 to base 6
686 ÷ 6 = 114 R 2
114 ÷ 6 = 19 R 0
19 ÷ 6 = 3 R 1
3 ÷ 4 = 0 R 3
Read in reverse order
Let's convert 686 to base 4
686 ÷ 4 = 171 R 2
171 ÷ 4 = 42 R 3
42 ÷ 4 = 10 R 2
10 ÷ 4 = 2 R 2
2 ÷ 4 = 0 R 2
Read in reverse order
Example 3
Solution
Step 1: Convert 10011 to base 10
(1 × 24) + (0 × 23) + (0 × 22) + (1 × 21) + (1 × 20)
16 + 0 + 0 + 2 + 1 = 1910 or 19
Step 2: Convert 19 to the required base in the question.
Let's convert 19 to base 3
19 ÷ 3 = 6 R 1
6 ÷ 3 = 2 R 0
2 ÷ 3 = 0 R 2
Read in reverse order
Let's convert 19 to base 4
19 ÷ 4 = 4 R 3
4 ÷ 4 = 1 R 0
1 ÷ 4 = 0 R 1
Read in reverse order
Please read on the multiplication of number bases here.
Please read on the subtraction of number bases here.
1. Convert 41045 to the following bases:
Base 8
Base 7
Base 6
Base 4
Base 3
Base 2
2. Express 875319 to the following bases:
Base 8
Base 7
Base 6
Base 5
Base 4
Base 3
Base 2
3. Express 1436 to the following bases:
Base 8
Base 7
Base 5
Base 4
Base 3
Base 2
Please read on the addition of number bases here.
Please read on mathematics week 9 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