Quick Maths2
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Quick Mathematics AFTERSCHOOOL www.afterschool.tk www.afterschoool.tk www.afterschoool.tk
• 49/20
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• 21/5
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• 21/5
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A square is surrounded by equilateral traiangles on each of its four sides. What is the total area, if one side of square is of 2 meters. • Area of square = 2*2 =4 • Area of one triangle = 3^1/2 /4 (side*side)= 3^1/2 • area of four triangle: 6.9 • Area = 10.9 sq. meter approx. www.afterschoool.tk
One hexagon (one side =2 mtr) is surrounded by equilateral trainalge on each of its side – what is the total area? • • • •
Area of hexagon = 6* 3^1/2 /4 (side*side) Area of six triangles: 6* 3^1/2 /4 (side*side) Total area: 12* 3^1/2 /4 (side*side) 20.78 sq. meters. approx. www.afterschoool.tk
Radius of a circle is 1, what is the area of largest square and largest triangle that can be put in this circle? • Area of square = ½ (diagonal*2) = 2 • Side of triangle=R*3^1/2 • Area of largest triangle (concentric equilateral triangle) = 3^1/2 /4 (side*side) (1.299 approx.
www.afterschoool.tk
If we have one traiangle and one square of equal area, and we draw largest possible circles inside these – which will be bigger and by what proportion (approx.)? • The area of circle in square is more than the area of circle in triangle and their areas are in the ratio of 3:4. www.afterschoool.tk
A has a rectangular plot of size 4*3 meters – he divides this plot in two triangular plots of equal area (on the diagonal) – what is the area of the triangle?
• Solve as right angle triangle: ½(base *height) = 6 or divide the area of rectangle by two = 6. www.afterschoool.tk
• • • • • • •
What is the difference between LCM and HCF of 8/9, 32/81 and 10/27?
LCM of 8 (2*2 *2), 32 (2^5)and 10(2*5) = (2^5*5)=160, HCF of 9,81 and 27 = 9 So their LCM = 160/9 HCF of 8, 32 and 10 =2 LCM of 9,81 and 27 =81 So their HCF = 2/81 Their difference = 1438/81
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Which is the highest? – 3^1/3 , 5^1/5 ,2^1/2, 4^1/4, 7^1/7
• 3^1/3
www.afterschoool.tk
What is the sum of all the numbers between 15 and 200 which are divisible by 7? • = 26/2 (21+196) • =2821
www.afterschoool.tk
There are two sets A={1,2,3}, B = {5,6,7,} Universal set C contains = {x:x =1 to 9}, what is A’UB’ • Ans = C
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How many subsets are possible in A = {1,2,3,4,5} • 32
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What is the difference between greatest and the smallest five digit number made from 0,1,2,3,4 (no repeatition)? • 43210-10234 = 32976
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
• 49/20
www.afterschoool.tk
• 21/5
www.afterschoool.tk
• 21/5
www.afterschoool.tk
A square is surrounded by equilateral traiangles on each of its four sides. What is the total area, if one side of square is of 2 meters. • Area of square = 2*2 =4 • Area of one triangle = 3^1/2 /4 (side*side)= 3^1/2 • area of four triangle: 6.9 • Area = 10.9 sq. meter approx. www.afterschoool.tk
One hexagon (one side =2 mtr) is surrounded by equilateral trainalge on each of its side – what is the total area? • • • •
Area of hexagon = 6* 3^1/2 /4 (side*side) Area of six triangles: 6* 3^1/2 /4 (side*side) Total area: 12* 3^1/2 /4 (side*side) 20.78 sq. meters. approx. www.afterschoool.tk
Radius of a circle is 1, what is the area of largest square and largest triangle that can be put in this circle? • Area of square = ½ (diagonal*2) = 2 • Side of triangle=R*3^1/2 • Area of largest triangle (concentric equilateral triangle) = 3^1/2 /4 (side*side) (1.299 approx.
www.afterschoool.tk
If we have one traiangle and one square of equal area, and we draw largest possible circles inside these – which will be bigger and by what proportion (approx.)? • The area of circle in square is more than the area of circle in triangle and their areas are in the ratio of 3:4. www.afterschoool.tk
A has a rectangular plot of size 4*3 meters – he divides this plot in two triangular plots of equal area (on the diagonal) – what is the area of the triangle?
• Solve as right angle triangle: ½(base *height) = 6 or divide the area of rectangle by two = 6. www.afterschoool.tk
• • • • • • •
What is the difference between LCM and HCF of 8/9, 32/81 and 10/27?
LCM of 8 (2*2 *2), 32 (2^5)and 10(2*5) = (2^5*5)=160, HCF of 9,81 and 27 = 9 So their LCM = 160/9 HCF of 8, 32 and 10 =2 LCM of 9,81 and 27 =81 So their HCF = 2/81 Their difference = 1438/81
www.afterschoool.tk
Which is the highest? – 3^1/3 , 5^1/5 ,2^1/2, 4^1/4, 7^1/7
• 3^1/3
www.afterschoool.tk
What is the sum of all the numbers between 15 and 200 which are divisible by 7? • = 26/2 (21+196) • =2821
www.afterschoool.tk
There are two sets A={1,2,3}, B = {5,6,7,} Universal set C contains = {x:x =1 to 9}, what is A’UB’ • Ans = C
www.afterschoool.tk
How many subsets are possible in A = {1,2,3,4,5} • 32
www.afterschoool.tk
What is the difference between greatest and the smallest five digit number made from 0,1,2,3,4 (no repeatition)? • 43210-10234 = 32976
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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