Alfred Ajibola
- 01st February, 2026 @ 09:27 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.
Subtraction in other number bases utilizes the same principle as in base 10 subtraction. Recall that subtraction in base 10 adds the value of 10 to the immediate right digit when borrowing. However, unlike base 10, the base number itself is added to the immediate right digit when borrowing in other bases.
Below are the borrowing techniques applied in the subtraction of number bases.
In base 2 subtraction, 2 is added to the immediate right digit when borrowing.
In base 3 subtraction, 3 is added to the immediate right digit when borrowing.
In base 4 subtraction, 4 is added to the immediate right digit when borrowing.
In base 5 subtraction, 5 is added to the immediate right digit when borrowing.
In base 6 subtraction, 6 is added to the immediate right digit when borrowing.
In base 7 subtraction, 7 is added to the immediate right digit when borrowing.
In base 8 subtraction, 8 is added to the immediate right digit when borrowing
In base 9 subtraction, 9 is added to the immediate right digit when borrowing.
In base 10 subtraction, 10 is added to the immediate right digit when borrowing.
Note: The above borrowing techniques are crucial in number base subtraction.
Please read on the addition of number bases here.
Another method utilized in the subtraction of number bases is through base 10 conversion. Below are steps to be follow via this method:
The first number base is converted to base 10 using place value.
The second number base is converted to base 10 using place value.
Both base numbers (in base 10) are subtracted.
The base 10 result is converted to the appropriate base
Please read on number base conversion here.
Example 1
Solution
Align the two base numbers by their place values. If possible, the shorter number can be padded with leading zeros for clarity. This is shown below:
0 - 1 = ? (Borrow 1 from the immediate left column. This becomes 2 + 0 since we are subtracting in base 2. Our subtraction becomes: 2 - 1 = 1)
1 - 0 = ? (Recall that 1 had been borrowed initially, making its 0. This becomes: 0 - 0 = 0).
1 - 0 = 1
0 - 0 = 0
Solution Through Base 10 Conversion
11102 - 10012
Step 1: Convert 11102 to base 10
(1 × 23) + (1 × 22) + (1 × 21) + (0 × 20)
8 + 4 + 2 + 0 = 1410
(1 × 23) + (0 × 22) + (0 × 21) + (1 × 21)
8 + 0 + 0 + 1 = 910
14 - 9 = 510
5 ÷ 2 = 2 R 1
2 ÷ 2 = 1 R 0
1 ÷ 2 = 0 R 1
Read remainder from bottom to top.
Example 2
Solution
Align the two base numbers by their place values. If possible, the shorter number can be padded with leading zeros for clarity. This is shown below:
0 - 2 = ? (Borrow 1 from the immediate left column. This becomes 3 + 0 since we are subtracting in base 3. Our subtraction becomes: 3 - 2 = 1)
0 - 2 = ? (Recall that 1 had been borrowed initially, making its value 0. Borrow 1 from the immediate left column. This becomes 3 + 0 since we are subtracting in base 3. Our subtraction becomes: 3 - 2 = 1).
1 - 0 = ? (Recall that 1 had been borrowed initially, making its value 0. Our subtraction becomes: 0 - 0 = 0)
0 - 2 = ? (Borrow 1 from the immediate left column. This becomes 3 + 0 since we are subtracting in base 3. Our subtraction becomes: 3 - 2 = 1)
2 - 0 = ? (Recall that 1 had been borrowed initially, making its value 1. Our subtraction becomes: 1 - 0 = 1)
Solution Through Base 10 Conversion
201103 - 20223
Step 1: Convert 201003 to base 10
(2 × 34) + (0 × 33) + (1 × 32) + (1 × 31) + (0 × 30)
162 + 0 + 9 + 3 + 0= 17410
(2 × 33) + (0 × 32) + (2 × 31) + (2 × 30)
54 + 0 + 6 + 2 = 6210
174 - 62 = 11210
112 ÷ 3 = 37 R 1
37 ÷ 3 = 12 R 1
12 ÷ 3 = 4 R 0
4 ÷ 3 = 1 R 1
1 ÷ 3 = 0 R 1
Read remainder from bottom to top.
Answer: 110113
Example 3
Solution
Align the two base numbers by their place values. This is shown below:
3 - 2 = 1
0 - 0 = 0
0 - 0 = 0
0 - 0 = 0
3 - 1 = 2
Solution Through Base 10 Conversion
300034 - 100024
Step 1: Convert 300034 to base 10
(3 × 44) + (0 × 43) + (0 × 42) + (0 × 41) + (3 × 40)
768 + 0 + 0 + 0 + 3 = 77110
(1 × 44) + (0 × 43) + (0 × 42) + (0 × 41) + (2 × 40)
256 + 0 + 0 + 0 + 2 = 25810
771 - 258 = 51310
513 ÷ 4 = 128 R 1
128 ÷ 4 = 32 R 0
32 ÷ 4 = 8 R 0
8 ÷ 4 = 2 R 0
2 ÷ 4 = 0 R 2
Read remainder from bottom to top.
Answer: 200014
Example 4
Solution
Align the two base numbers by their place values. This is shown below:
2 - 3 = ? (Borrow 1 from the fourth right column, since the immediate left digits are 0 and 0 respectively. This becomes 5 + 2 since we are subtracting in base 5. Our subtraction becomes: 7 - 3 = 4).
0 - 3 = ? (Recall that 1 had been borrowed from the fourth right column initially. This makes it 5 + 0. However, since 1 was also borrowed to the immediate right digit, it becomes 4. Therefore, our subtraction becomes: 4 - 3 = 1).
0 - 4 = ? (Recall that 1 had been borrowed from the fourth right column initially. This makes it 5 + 0. However, since 1 was also borrowed to the immediate right digit, it becomes 4. Therefore, our subtraction becomes: 4 - 4 = 0).
3 - 3 = ? (Since 1 was borrowed from the fourth right column, this value of 3 becomes 2, that is; 2 - 3. Borrow 1 from the immediate left column. This becomes 5 + 2 since we are subtracting in base 5. Our subtraction becomes: 7 - 3 = 4)
4 - 2 = ? (Recall that 1 had been borrowed initially, making its value 3. Our subtraction becomes 3 - 2 = 1)
Solution Through Base 10 Conversion
430025 - 234335
Step 1: Convert 430025 to base 10
(4 × 54) + (3 × 53) + (0 × 52) + (0 × 51) + (2 × 50)
2500 + 375 + 0 + 0 + 2 = 287710
(2 × 54) + (3 × 53) + (4 × 52) + (3 × 51) + (3 × 50)
1250 + 375 + 100 + 15 + 3 = 174310
2877 - 1743 = 113410
1134 ÷ 5 = 226 R 4
226 ÷ 5 = 45 R 1
45 ÷ 5 = 9 R 0
9 ÷ 5 = 1 R 4
1 ÷ 5 = 0 R 1
Read remainder from bottom to top.
Answer: 140145
Please read on the division of number bases here.
You can read on linear equation in mathematics here.
Subtract the following number bases:
3214 - 2134
42315 - 12345
38719 - 28879
111101112 -.1101112
7000018 - 1666678
6543217 - 1234567
432115 - 221435
644437 - 163347
78764910 - 3918110
881239 - 235689
Please read on expressing one quantity as a percentage of another 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.
Kindly share this article via the links below:
Please click here to contact Alfred if you require any of the following services:
If you need a standard website at an affordable price.
Online training on the academic subjects: biology, chemistry and basic science.
If you require an advanced smart school management system (web application) for your school.
Click here to read on Len Academy Smart School Software.
Please click here to follow Len Academy on Google News.
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