Maths Made Interesting 4

MATHS Dr. T.K. Jain. AFTERSCHOOOL www.afterschool.tk www.afterschoool.tk www.afterschoool.tk

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In an election between two candidates, the candidates who gets 30% of the votes polled is defeated by 15000 votes. The number of votes secured by the winning candidate? • 70/40 (15000) = 26250 votes. www.afterschoool.tk

When water freezes into ice it increased by 9% in volume. How many percent will the volume of ice decrease if it is melted into water? • 8.26 % approx. www.afterschoool.tk

Log 4

64 ?

• 3 is the answer.

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Log

10

.01 ?

• -2 ans.

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Circumference of a circle is 131.9 what is its area? • 1385.4 or 441 pie approx.

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Area of a circle is 2463 sq. cm. what is its circumference? • 175.9 approx. • Or 56 pie

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How many balls of diameter 1 cm each can be made from a sphere of diameter 16 cm? • 4096

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Match the following: • • • •

Orthocentre Circumcentre Incentre Centroid

• Altitudes • Medians • Perpendicular bisectors • Angular bisectors

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In a triangle ABC, A is of 70 degree, bisectors of B and C meet at point O, what is the measurement of angle BOC?

• 90+.5(70) = 125 degree. www.afterschoool.tk

In a triangle ABC, A is of 70 degree, Side AB and AC are extended to P and Q respectively. Bisectors of PBC and QCB meet at point O, what is the measurement of angle BOC? • 90 - .5(70) = 90-35 = 55 degree ans. www.afterschoool.tk

The ratio of radii of two circles is 1:3, what is the ratio of their area? • 1:9

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.5 of a number is equal to .07 of another. What is the ratio of the two numbers?

• 7:50 Ans.

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4A=5B=7C, and we divide Rs. 581 among A,B,C, how much will they get (each separately)?

• A gets 245, B 196 and C 140 ans. www.afterschoool.tk

A bag contains 1 rupee 50 paise, 25 paise coins in the ratio 5:6:7, and total amount is Rs 390, find the number of these coins? • 1 rupee coin = 200, 50 paise coins = 240 and 25 paise coins = 280. www.afterschoool.tk

Three numbers are in ratio 2:3:5,sum of their squares is 608, what are the numbers?

• The numbers are 8,12 and 20. www.afterschoool.tk

What is the square root of .4? • .632 approx.

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What is the square root of .9? • .9 approx.

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Five bells toll together at and then they bell an an interval of 6,7,8,9,12 seconds respectively. How many times will the toll together in one hour? • Calculate LCM of 6,7,8,9, 12 = 504 • Divide 3600 by 504 = 7 approx. so they will toll together 7 times in an hour.

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What is the greatest no. that will divide 290,460 and 552 and leave remainder of 4,5,6 respectively?

• Calculate HCF of 286,455 and 546 (deduct remainers) = 13 ans.

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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 /CMA / 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 www.afterschoool.tk society.

www.afterschoool.tk social entrepreneurship for better society

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