MATHEMATICAL CONCEPTS GAMES

Mathematical Concepts

By chithra dhananjayan

Percent to fractions

𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏

Draw a circle with radius 4 cm

𝒅𝒊𝒗𝒊𝒅𝒆 𝒊𝒏𝒕𝒐 𝒗𝒂𝒓𝒊𝒐𝒖𝒔 𝒑𝒂𝒓𝒕𝒔

Draw a circle with radius 4 cm

𝒅𝒊𝒗𝒊𝒅𝒆 𝒊𝒏𝒕𝒐 𝟓 𝒑𝒂𝒓𝒕𝒔

Draw a circle with radius 4 cm

𝒅𝒊𝒗𝒊𝒅𝒆 𝒊𝒏𝒕𝒐 𝟖 𝒑𝒂𝒓𝒕𝒔

Draw a circle with radius 4 cm

𝒅𝒊𝒗𝒊𝒅𝒆 𝒊𝒏𝒕𝒐 𝟏𝟎 𝒑𝒂𝒓𝒕𝒔

Arrange in ascending order

𝑭𝒓𝒂𝒄𝒕𝒊𝒐𝒏

Arrange in ascending order

𝑭𝒓𝒂𝒄𝒕𝒊𝒐𝒏

CHANGE THE DIRECTION OF BIRD FACE INTO ANOTHER DIRECTION, BY SHIFTING 2 MATCH STICKS

𝑩𝑰𝑹𝑫 𝑭𝑨𝑪𝑬

CHANGE THE DIRECTION OF BIRD FACE INTO ANOTHER DIRECTION, BY SHIFTING 2 MATCH STICKS

𝑩𝑰𝑹𝑫 𝑭𝑨𝑪𝑬 𝑺𝑶𝑳𝑼𝑻𝑰𝑶𝑵

PENTOMINOS FILL TOGETHER

R𝑬𝑪𝑻𝑨𝑵𝑮𝑳𝑬 𝟏𝟎 𝑪𝑴 X 6 CM = 60

12 PENTOMINOS FILL TOGETHER 60/12= 5 EACH

PENTOMINOS FILL TOGETHER

R𝑬𝑪𝑻𝑨𝑵𝑮𝑳𝑬 𝟏𝟎 𝑪𝑴 X 6 CM = 60

12 PENTOMINOS FILL TOGETHER

FILL TOGETHER

R𝑬𝑪𝑻𝑨𝑵𝑮𝑳𝑬 𝟏𝟎 𝑪𝑴 X 6 CM = 60

12 PENTOMINOS FILL TOGETHER 60/12= 5 EACH

ErATOSTHENES

𝑷𝑹𝑰𝑴𝑬 𝑵𝑼𝑴𝑩𝑬𝑹𝑺

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

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟐

MULTIPLES OF 3

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟑

MULTIPLES OF 4

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟒

MULTIPLES OF 5

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟓

MULTIPLES OF 6

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟔

MULTIPLES OF 7

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟕

MULTIPLES OF 8

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟖

MULTIPLES OF 9

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟗

MULTIPLES OF 10

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟎

MULTIPLES OF 11

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟏

MULTIPLES OF 12

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟐

MULTIPLES OF 13

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟑

MULTIPLES OF 14

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟒

MULTIPLES OF 15

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟓

MULTIPLES OF 16

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟔

MULTIPLES OF 17

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟕

MULTIPLES OF 18

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏𝟖

MULTIPLES OF 19

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟏9

MULTIPLES OF 20

𝑴𝑼𝑳𝑻𝑰𝑷𝑳𝑬𝑺 𝑶𝑭 𝟐𝟎

Think or imagine

Think of any 2 digit number. Subtract from it constituents its numbers.

Example 63

- 09 (6+3)

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)

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

𝒕𝒉𝒊𝒏𝒌 𝒐𝒇 𝒂 𝟏 𝒅𝒊𝒈𝒊𝒕 𝒐𝒓 𝟐 𝒅𝒊𝒈𝒊𝒕 𝒏𝒖𝒎𝒃𝒆𝒓 - y

Double the number – 2y

Add 12 – 2y+12

Divide the total by (𝟐𝒀+𝟏𝟐)/𝟐

Subtract the original number

Was the answer 6?

Why this trick works?

2y+12

(𝟐𝒀+𝟏𝟐)/𝟐 = y+6

Y+6-y = 6

think

𝒕𝒉𝒊𝒏𝒌 𝒐𝒇 𝒂 𝟏 𝒅𝒊𝒈𝒊𝒕 𝒐𝒓 𝟐 𝒅𝒊𝒈𝒊𝒕 𝒏𝒖𝒎𝒃𝒆𝒓 - y

Double the number – 2y

Add 18 – 2y+18

Divide the total by 2 (𝟐𝒀+𝟏𝟖)/𝟐

Subtract the original number

Was the answer 6?

Why this trick works?

2y+18

(𝟐𝒀+𝟏𝟖)/𝟐 = y+9

Y+9-y = 9

1089

𝒂𝒃𝒄 𝒖𝒏𝒌𝒏𝒐𝒘𝒏 𝟑 𝒅𝒊𝒈𝒊𝒕

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

𝒂𝒏𝒚 𝟐 𝒑𝒐𝒔𝒊𝒕𝒊𝒗𝒆 𝒏𝒐𝒔 𝒃𝒆𝒕𝒘𝒆𝒆𝒏 𝟏&𝟐𝟎

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

671 𝟐𝟓𝟕/𝟏𝟓𝟗 = 1.616

TRIANGULaR NUMBERS

(𝐧(𝐧+𝟏))/𝟐

Divisibility test

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 - 𝜋𝑟^2 h

TEACHING AIDS

VOLUME OF CYLINDER - 𝜋𝑟^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

🌈⚡Key To Enjoy Learning Maths☘🌈

Sunday, March 17, 2024