Maths Intra School Quiz

65
CombinatoriX RAMANUJAN DAY 2014

Transcript of Maths Intra School Quiz

Page 1: Maths Intra School Quiz

CombinatoriXRAMANUJAN DAY 2014

Page 2: Maths Intra School Quiz

RULESThe quiz will consist of 3 rounds.Round 1- SolvomatriXRound 2- LogiQRound 3- MathematicaThere will be audience questions beforeevery round. Prompting of answers is not allowed.Direct Question:- +10/-5Passed Question:- +5

Page 3: Maths Intra School Quiz

Rules for SolvomatriX

You will get 1.5 minutes for every question.

You can choose only the odd numbered questions for the first leg of the round and even in second.

SolvomatriX

Page 4: Maths Intra School Quiz

SolvomatriX

6 7 8 9 10

Audience Question 2

1 2

Audience Question 1

3 4 5

LogiQ

Page 5: Maths Intra School Quiz

LogiQ

1 2 3 4 5

Audience Question

MATHEMATICA

Page 6: Maths Intra School Quiz

Rules for Mathematica

You will get 30 seconds to answer each question.

These are the picture questions based on Famous mathematicians, their discoveries and theorems.

MATHEMATICA

Page 7: Maths Intra School Quiz

MATHEMATICA

1 2 3 4 5

Audience Question

THE END Tie- Breakers

Page 8: Maths Intra School Quiz

SolvomatriX 1

BACK

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

Page 9: Maths Intra School Quiz
Page 10: Maths Intra School Quiz

SolvomatriX 2

BACK

(Easy One) How many digits will 10001000 have?

Page 11: Maths Intra School Quiz
Page 12: Maths Intra School Quiz

Audience Question 2

What is the sum of cubes of the first 5 whole numbers?

BACK

Page 13: Maths Intra School Quiz
Page 14: Maths Intra School Quiz

SolvomatriX 3

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in still water?

BACK

Page 15: Maths Intra School Quiz
Page 16: Maths Intra School Quiz

SolvomatriX 4

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is?

BACK

Page 17: Maths Intra School Quiz
Page 18: Maths Intra School Quiz

SolvomatriX 5

13 years ago, Peter's age is one-third of the age 7 years from now. How old is Peter now?

BACK

Page 19: Maths Intra School Quiz
Page 20: Maths Intra School Quiz

SolvomatriX 6

Solve the following polynomial if all letters represent different numbers.

(x-a)* (x-b)*………. *(x-z)

BACK

Page 21: Maths Intra School Quiz
Page 22: Maths Intra School Quiz

SolvomatriX 7

BACK

If x2 is a then find a

Page 23: Maths Intra School Quiz
Page 24: Maths Intra School Quiz

SolvomatriX 8

There is a equilateral triangle with sides 4cm long. If any one side is multiplied by 3, then by what factor is the area of the triangle increased.

(It’s not that simple, think about it!)

BACK

Page 25: Maths Intra School Quiz
Page 26: Maths Intra School Quiz

SolvomatriX 9

Walking ¾ of his original speed, a person is 10 minutes late to his office. Find his normal time to reach the office.

BACK

Page 27: Maths Intra School Quiz
Page 28: Maths Intra School Quiz

SolvomatriX 10

A and B walk from X to Y which is a distance of 27 kms at a speed of 5 km/h and 7 km/h respectively. After reaching Y, B turns and meets A at Z. What is the distance from X to Z?

BACK

X YZ

Page 29: Maths Intra School Quiz
Page 30: Maths Intra School Quiz

Audience Question 1

A completes a work in 12 days and B completes the work in 24 days. In how many days do they complete the work?

BACK

Page 31: Maths Intra School Quiz
Page 32: Maths Intra School Quiz

Rules for LogiQ

You will get 1 minute to solveeach question.Hint:- Think out of the box

LogiQ

Page 33: Maths Intra School Quiz

LogiQ 1

Mary and John are playing with seven dice. If all dice land the same, Mary wins. John wins if all dice land differently. They are both going to throw until one of them wins. What is the probability of John to lose?

BACK

Page 34: Maths Intra School Quiz
Page 35: Maths Intra School Quiz

LogiQ 2

3= 85= 910= 1311= ??

BACK

Page 36: Maths Intra School Quiz
Page 37: Maths Intra School Quiz

LogiQ 3

Consider the infinite sequence: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, ... What is the 1000th term?

BACK

Page 38: Maths Intra School Quiz
Page 39: Maths Intra School Quiz

LogiQ 4

BACK

Complete the sequence:- -1 2

, 1, 0, 1, 8, 81, _______

Page 40: Maths Intra School Quiz
Page 41: Maths Intra School Quiz

LogiQ 5

BACK

Move any 2 sticks so as to make 7 squares

Answer

Page 42: Maths Intra School Quiz
Page 43: Maths Intra School Quiz

Audience Question

What is this type of series called?

1,1,2,3,5,8,13……

BACK

Page 44: Maths Intra School Quiz
Page 45: Maths Intra School Quiz

MATHEMATICA 1

BACK

23 December

1. 2.

3. 4.

Page 46: Maths Intra School Quiz
Page 47: Maths Intra School Quiz

MATHEMATICA 2

X:Y

BACK

Connect

Page 48: Maths Intra School Quiz
Page 49: Maths Intra School Quiz

MATHEMATICA 3

3,43,41,7

BACK

Page 50: Maths Intra School Quiz
Page 51: Maths Intra School Quiz

MATHEMATICA 4

Identify the famous formulaBACK

Page 52: Maths Intra School Quiz
Page 53: Maths Intra School Quiz

MATHEMATICA 5

BACK

Identify the famous problem.

Page 55: Maths Intra School Quiz

Audience Question

RULER+E-R

BACK

Page 57: Maths Intra School Quiz

Thank You

Made by:- Kunal JainMehul Arora

A special thanks to Ms.Apeksha Chopra and our principal ma’am Ms. Rita Sen

Our Special th

anks

to Principal Ma’am

Mrs. Rita Sen

Made By-

Kunal Jain

Mehul Arora

Page 59: Maths Intra School Quiz

TIE-BREAKER 1

THE END

NEXT

Who declined a field medal in Mathematics in 2006 saying “I'm not interested in money or fame; I don't want to be on display like an animal in a zoo.”

Page 60: Maths Intra School Quiz

TIE-BREAKER 2

NEXT

THE END

A bird shooter was asked how many birds he had in his bag. The shooter replied that there were all sparrows but 6, all pigeons but 6 and all ducks but 6. How many birds did he have in all?

Page 61: Maths Intra School Quiz

TIE-BREAKER 3

NEXT

THE END

(Another easy one)

Page 62: Maths Intra School Quiz

Identify this very famous person. (Hint- He is related to geometry)

If both teams can identify him, then give me the bank which issued this note

TIE-BREAKER 4

NEXT

THE END

Page 63: Maths Intra School Quiz

TIE-BREAKER 5

THE END

(Please decide on this on or we will have to call it a tie)

Page 65: Maths Intra School Quiz

Answer- LogiQ 5

BACK