Alfred Ajibola
- 01st February, 2026 @ 09:28 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 multiplication of number bases is quite similar to base 10 multiplication. However, when multiplying number bases, if the multiplication product equals or exceeds the base, you carry over the whole number (quotient), while writing down the remainder. This procedure is repeated until the final result is reached. This implies that each digit comprising the base must be within the base; and not equal or above it.
Please read on the division of number bases here.
Note: The quotient is the carry-over, and the remainder is the digit you write down. Also, each digit making up your answer is always lesser than the base value.
Multiplication of number bases can also be achieved through base 10 conversion. This method is quite easier and preferable.
Below are examples showing the step by step procedure in number base multiplication.
Example 1
Solution
Step 1: Perform the first partial multiplication: that is 234 × 2
Step 2: Multiply the rightmost digit
2 × 3 = 6 (Since the result is greater than or equal to the base number, we'll divide it by the base number. That is; 6/4 = 1 R 2).
Write down 2 and carry 1
2 × 2 = 4
4 + 1= 5
5/4 = 1 R 1
Write down 1 and carry 1
Write result for first partial multiplication by reading from bottom to top. That is; 1124
Step 5: Perform the second partial multiplication: that is 234 × 34
Step 6: Multiply the rightmost digit.
3 × 3 = 9
9/4 = 2 R 1
Write down 1 and carry 2
3 × 2 = 6
6 + 2 = 8
8/4 = 2 R 0
Write down 0 and carry 2
Step 8: Since there's no other number to multiply, we also write down the 2.
Step 9: Write result for second partial multiplication by reading from bottom to top. That is; 2014
Always add a single rightmost zero (0) to your second partial result since we multiply by tens digit. Our result becomes 20104
Answer: 1124 + 20104 = 21224
Please read on the addition of number bases here.
Solution Through Base 10 Conversion
234 - 324
Step 1: Convert 234 to base 10
(2 × 41) + (3 × 40)
8 + 3 = 1110
(3 × 41) + (2 × 40)
12 + 2 = 1410
11 × 14 = 15410
154 ÷ 4 = 38 R 2
38 ÷ 4 = 9 R 2
9 ÷ 4 = 2 R 1
2 ÷ 4 = 0 R 2
Read remainder from bottom to top.
Answer: 21224
Example 2
1112 × 1002
Solution
Step 1: Perform the first partial multiplication; that is 1112 × 0
Step 2: Multiply the rightmost digits:
0 × 1 = 0 (Since the result is less than the base number, we'll leave it as it is)
Write down 0
0 × 1 = 0
Write down 0
0 × 1 = 0
Write down 0
Step 6: Perform the second partial multiplication; that is 1112 × 02
Step 7: Our result from the second partial multiplication is the same as the first partial multiplication. We'll write it down as 0002
Always add a single rightmost zero (0) to your second partial result since we multiply by tens digit. Our result becomes 00002
Step 8: Perform the third partial multiplication; that is 1112 × 12
Step 9: Multiply the rightmost digit
1 × 1 = 1 (Since the result is less than the base number, we'll leave it as it is)
Write down 12
1 × 1 = 12
Write down 12
1 × 1 = 1
Write down 12
Always add two rightmost zeros (00) to your third partial result since we multiply by hundreds digit. Our result becomes 111002
Answer: 0002 + 00002 + 111002 = 111002
Please read on the multiplication of number bases here.
Solution Through Base 10 Conversion
1112 - 1002
Step 1: Convert 1112 to base 10
(1 × 22) + (1 × 21) + (1 × 20)
4 + 2 + 1 = 710
(1 × 22) + (0 × 21) + (0 × 20)
4 + 0 + 0 = 410
7 × 4 = 2810
28 ÷ 2 = 14 R 0
14 ÷ 2 = 7 R 0
7 ÷ 2 = 3 R 1
3 ÷ 2 = 1 R 1
1 ÷ 2 = 0 R 1
Example 3
Step 1: Perform the first partial multiplication; that is 54326 × 26
Step 2: Multiply the rightmost digit
2 × 2 = 4 (Since the result is less than the base number, we'll leave it as it is)
Write down 4
2 × 3 = 66 (Since the result is greater than or equal to the base number, we'll divide it by the base number. That is; 6/6 = 1 R 0)
Write down 0 and carry 1
2 × 4 = 86
8 + 1 = 9
9/6 = 1 R 3
Write down 3 and carry 1
2 × 5 = 106
10 + 1 = 11
11/6 = 1 R 5
Write down 5 and carry 1
Write result for first partial multiplication by reading from bottom to top. That is; 153046
Multiply the rightmost digit
4 × 2 = 86
8/6 = 1 R 2
Write down 2 and carry 1
4 × 3 = 126
12 + 1 = 13
13/6 = 2 R 1
Write down 1 and carry 2
4 × 4 = 166
16 + 2 = 186
18/6 = 3 R 0
Write down 0 and carry 3
4 × 5 = 206
20 + 3 = 236
23/6 = 3 R 5
Write down 5 and carry 3
Step 11: Since there's no other number to multiply, we also write down the carry, and that's 3
Step 12: Write result for second partial multiplication by reading from bottom to top. That is: 350126
Always add two rightmost zeros (00) to your third partial result since we multiply by tens digit. Our result becomes 3501206
Step 13: Perform the third partial multiplication; that is 54326 × 56
Step 14: Multiply the rightmost digit
5 × 2 = 106
10/6 = 1 R 4
Write down 4 and carry 1
5 × 3 = 156
15 + 1 = 166
16/6 = 2 R 4
Write down 4 and carry 2
4 × 5 = 206
20 + 2 = 226
22/6 = 3 R 4
Write down 4 and carry 3
5 × 5 = 256
25 + 3 = 286
28/6 = 4 R 4
Write down 4 and carry 4
Step 18: Since there's no other number to multiply, we also write down the carry, and that's 4
Step 19: Write result for the third partial multiplication by reading from bottom to top. That is: 444446
Always add two rightmost zeros (00) to your third partial result since we multiply by tens digit. Our result becomes 4444400
Please read on the subtraction of number bases here.
Solution Through Base 10 Conversion
54326 × 5426
Step 1: Convert 54326 to base 10
(5 × 63) + (4 × 62) + (3 × 61) + (2 × 60)
1080 + 144 + 18 + 2 = 124410
(5 × 62) + (4 × 61) + (2 × 60)
180 + 24 + 2 = 20610
1244 × 206 = 25626410
256264 ÷ 6 = 42710 R 4
42710 ÷ 6 = 7118 R 2
7118 ÷ 6 = 1186 R 2
1186 ÷ 6 = 197 R 4
197 ÷ 6 = 32 R 5
32 ÷ 6 = 5 R 2
5 ÷ 6 = 0 R 5
Read remainder from bottom to top.
Answer: 52542246
Please read on multiplication and division of algebra here.
Please read on word problems in fraction here.
111012 × 100112
2314 × 2314
12345 × 43215
984310 × 349910
5489 × 6889
5416 × 1126
36557 × 3417
2776434 × 4326
1101112 × 1000012
1121223 × 2223
5447238 × 7418
Please read on the use of BODMAS in mathematics 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