MATHEMATICAL CONCEPTS GAMES
Mathematical Concepts
By chithra dhananjayan
Percent to fractions
๐ช๐๐๐๐๐๐๐๐๐
Draw a circle with radius 4 cm
๐
๐๐๐๐
๐ ๐๐๐๐ ๐๐๐๐๐๐๐ ๐๐๐๐๐
Draw a circle with radius 4 cm
๐
๐๐๐๐
๐ ๐๐๐๐ ๐ ๐๐๐๐๐
Draw a circle with radius 4 cm
๐
๐๐๐๐
๐ ๐๐๐๐ ๐ ๐๐๐๐๐
Draw a circle with radius 4 cm
๐
๐๐๐๐
๐ ๐๐๐๐ ๐๐ ๐๐๐๐๐
Arrange in ascending order
๐ญ๐๐๐๐๐๐๐
Arrange in ascending order
๐ญ๐๐๐๐๐๐๐
CHANGE THE DIRECTION OF BIRD FACE INTO ANOTHER DIRECTION, BY SHIFTING 2 MATCH STICKS
๐ฉ๐ฐ๐น๐ซ ๐ญ๐จ๐ช๐ฌ
CHANGE THE DIRECTION OF BIRD FACE INTO ANOTHER DIRECTION, BY SHIFTING 2 MATCH STICKS
๐ฉ๐ฐ๐น๐ซ ๐ญ๐จ๐ช๐ฌ ๐บ๐ถ๐ณ๐ผ๐ป๐ฐ๐ถ๐ต
PENTOMINOS FILL TOGETHER
R๐ฌ๐ช๐ป๐จ๐ต๐ฎ๐ณ๐ฌ ๐๐ ๐ช๐ด X 6 CM = 60
12 PENTOMINOS FILL TOGETHER 60/12= 5 EACH
PENTOMINOS FILL TOGETHER
R๐ฌ๐ช๐ป๐จ๐ต๐ฎ๐ณ๐ฌ ๐๐ ๐ช๐ด X 6 CM = 60
12 PENTOMINOS FILL TOGETHER
FILL TOGETHER
R๐ฌ๐ช๐ป๐จ๐ต๐ฎ๐ณ๐ฌ ๐๐ ๐ช๐ด X 6 CM = 60
12 PENTOMINOS FILL TOGETHER 60/12= 5 EACH
ErATOSTHENES
๐ท๐น๐ฐ๐ด๐ฌ ๐ต๐ผ๐ด๐ฉ๐ฌ๐น๐บ
Cross out or circle out 1
Retain 2 cross every 2nd number or multiple of 2.
Retain 3 cross every 3rd number or multiple of 3.
Retain 5 cross every 5th number or multiple of 5.
Retain 7 cross every 7th number or multiple of 7.
Retain 13 cross every 13th number or multiple of 13.
So prime numbers are 2, 3,5,7,11,13,17,19,23,29,31
37,41,43,47,53,59,61,67,71,73,79,83,89,97
MULTIPLES OF 2
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 3
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 4
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 5
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 6
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 7
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 8
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 9
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐
MULTIPLES OF 10
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 11
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 12
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 13
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 14
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 15
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 16
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 17
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 18
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
MULTIPLES OF 19
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐9
MULTIPLES OF 20
๐ด๐ผ๐ณ๐ป๐ฐ๐ท๐ณ๐ฌ๐บ ๐ถ๐ญ ๐๐
Think or imagine
Think of any 2 digit number. Subtract from it constituents its numbers.
Example 63
- 09 (6+3)
54
Find this number in the table and the symbol to which it corresponds.
Imagine yourself mentally that symbol click show.
Use only 3 columns
Think or imagine
Think of any 2 digit number. Subtract from it constituents its numbers.
Example 63
- 09 (6+3)
54
Find this number in the table and the symbol to which it corresponds.
Imagine yourself mentally that symbol click show.
Use only 3 columns
X – 21 SMILEY – 10 SUN -11 RHYTHM -12 HEART – 12 SPADE – 9 BOX – 14 BLACK-4 RUPEE-6
Think or imagine
Solve the puzzle
Solve
Solve the puzzle
Solution
think
๐๐๐๐๐ ๐๐ ๐ ๐ ๐
๐๐๐๐ ๐๐ ๐ ๐
๐๐๐๐ ๐๐๐๐๐๐ - y
Double the number – 2y
Add 12 – 2y+12
Divide the total by (๐๐+๐๐)/๐
Subtract the original number
Was the answer 6?
Why this trick works?
Y
2y
2y+12
(๐๐+๐๐)/๐ = y+6
Y+6-y = 6
think
๐๐๐๐๐ ๐๐ ๐ ๐ ๐
๐๐๐๐ ๐๐ ๐ ๐
๐๐๐๐ ๐๐๐๐๐๐ - y
Double the number – 2y
Add 18 – 2y+18
Divide the total by 2 (๐๐+๐๐)/๐
Subtract the original number
Was the answer 6?
Why this trick works?
Y
2y
2y+18
(๐๐+๐๐)/๐ = y+9
Y+9-y = 9
1089
๐๐๐ ๐๐๐๐๐๐๐ ๐ ๐
๐๐๐๐
100a+10b+c
-100c+10b+a
100(a-c)+(c-a)-99(a-c)
851
-158
693
+396
1089
685
-586
099
+990
1089
Multiples of 99
99 198 397 396 495 594 693 792 891
1089
๐๐๐ ๐ ๐๐๐๐๐๐๐๐ ๐๐๐ ๐๐๐๐๐๐๐ ๐&๐๐
1 9 y
2 2 x+y
3 11 x+2y
4 13 2x+3y
5 24 3x+5y
6 37 5x+8y
7 61 8x+13y
8 98 13x+21y
9 159 21x+34y
10 257 55x+88y
671 ๐๐๐/๐๐๐ = 1.616
TRIANGULaR NUMBERS
(๐ง(๐ง+๐))/๐
Divisibility test
Divisibility test
Place value cards
Place value cards
Upside down years
Upside down years – look exactly the same upside down as its does the right way up.
1961
Angle in names
Find Angles in your names
TEACHING AIDS
VOLUME OF CYLINDER - ๐๐^2 h
TEACHING AIDS
VOLUME OF CYLINDER - ๐๐^2 h
Nomograph – A MATHEMATICAL TOOL
A nomogram, also called a nomograph, alignment chart, or abaque, is a graphical calculating device, a two-dimensional diagram designed to allow the approximate graphical computation of a mathematical function.
The field of nomography was invented in 1884 by the French engineer Philbert Maurice d'Ocagne (1862–1938) and used extensively for many years to provide engineers with fast graphical calculations of complicated formulas to a practical precision. Nomograms use a parallel coordinate system invented by d'Ocagne rather than standard Cartesian coordinates.
A nomogram consists of a set of n scales, one for each variable in an equation. Knowing the values of n-1 variables, the value of the unknown variable can be found, or by fixing the values of some variables, the relationship between the unfixed ones can be studied. The result is obtained by laying a straightedge across the known values on the scales and reading the unknown value from where it crosses the scale for that variable. The virtual or drawn line created by the straightedge is called an index line or isopleth.
Nomograms flourished in many different contexts for roughly 75 years because they allowed quick and accurate computations before the age of pocket calculators
nomogram for a three-variable equation typically has three scales, although there exist nomograms in which two or even all three scales are common. Here two scales represent known values and the third is the scale where the result is read off. The simplest such equation is u1 + u2 + u3 = 0 for the three variables u1, u2 and u3. An example of this type of nomogram is shown on the right, annotated with terms used to describe the parts of a nomogram.
Nomograph – A MATHEMATICAL TOOL
More complicated equations can sometimes be expressed as the sum of functions of the three variables. For example, the nomogram at the top of this article could be constructed as a parallel-scale nomogram because it can be expressed as such a sum after taking logarithms of both sides of the equation.
The scale for the unknown variable can lie between the other two scales or outside of them. The known values of the calculation are marked on the scales for those variables, and a line is drawn between these marks. The result is read off the unknown scale at the point where the line intersects that scale. The scales include 'tick marks' to indicate exact number locations, and they may also include labeled reference values. These scales may be linear, logarithmic, or have some more complex relationship.
The sample isopleth shown in red on the nomogram at the top of this article calculates the value of T when S = 7.30 and R = 1.17. The isopleth crosses the scale for T at just under 4.65; a larger figure printed in high resolution on paper would yield T = 4.64 to three-digit precision. Note that any variable can be calculated from values of the other two, a feature of nomograms that is particularly useful for equations in which a variable cannot be algebraically isolated from the other variables.
Straight scales are useful for relatively simple calculations, but for more complex calculations the use of simple or elaborate curved scales may be required. Nomograms for more than three variables can be constructed by incorporating a grid of scales for two of the variables, or by concatenating individual nomograms of fewer numbers of variables into a compound nomogram.
Nomograph
Rules:
B + A = C
10 + 4 = 14
14 – 10 = 4
14 – 4 = 10
Nomograph
Rules:
B + A = C
9+3=12
12 – 3 = 9
12 – 9 = 3
Multiplication tables
2 tables
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
2 x 8 = 16
2 x 9 = 18
2 x 10 = 20
