Tutor MathsGuru: Ask me for your burning Maths questions!

[MathIzzzFun]

verykiasumummy:

hi everyone here...


i was reading this thread and i was totally amazed! really...!!

i always hv challenging maths questions from my boy... he always accumulate it to ask his tutor who only has lessons with him once a week due to limited slots...

it'll be so helpful if i could get solutions here n try to explain to him..

1]. At first, Tom had 2/3 as many stickers as Edward. After Tom bought another 8 stickers and Edward lost 5, Tom had 4/5 as many stickers as Edward. Find the number of stickers Tom had at first.

2]. There are 200 people in a party. What is the minimum number of people whose birthday fall in the same month?

3]. What is the largest 5-digit number which is a multiple of 2, 3 and 5? How many 5-digit numbers are there which are multiples of 2, 3 and 5?

Thanks in advance.

Hi


http://postimage.org/image/34ur6epyc/

Q2.

200/12 = 16R8, so at least 16 people had birthday in the same month.

Q3.

LCM of (2,3,5) = 30
Range of 5-digit number : 10000 to 99999
Smallest multiple of 30 = 10020, and largest = 99990

10020/30 = 334, 99990/30 = 3333

Number of multiples of 30 from 10020 to 99990 = 3333-334+1 = 3000

cheers.




cheers.

[Dharma]

Vanilla Cake:

http://postimage.org/image/1yp7bb24k/

Thks in advance for your worked solutions.Much appreciated.

Q8

Since n1, n2, n3,…., n8 and n9 are consecutive numbers

(n – 4) + (n -3 ) + … + n + (n + 1) + … + (n + 4 ) = 9
9n = 9
n = 1

n5 = n
n4 = n -1 = 1 -1 = 0

n1 x n2 x … x n8 x n9 = 0

[Dharma]

Vanilla Cake:

http://postimage.org/image/10w36l1gk/


Thks in advance for your worked solutions.Much appreciated.

http://postimage.org/image/1zpeisj9g/

[MathIzzzFun]

Hi Vanilla Cake



http://postimage.org/image/12kl9d3tw/


N = (2x5)^2000x2^9 = 512 x 10^2000 >>> 2003 digits


cheers.

[verykiasumummy]

thank u so much mathsizzfun…

[MathIzzzFun]

Hi verykiasumummy


avec plaisir :lol:

cheers.

[MathIzzzFun]

Vanilla Cake:

http://postimage.org/image/1z8oj67ic/


Thks in advance for your worked solutions.Much appreciated.

Hi Vanila Cake

http://postimage.org/image/1fu0s9w/

cheers.

[Dharma]

Vanilla Cake:

http://postimage.org/image/10w4u4dyc/

http://postimage.org/image/2yh41ih1g/

[Dharma]

Vanilla Cake:

http://postimage.org/image/10yw2d7l0/

Number of ways to choose 3L shape squares from a 2 x 2 square = 6 x 4 = 24
Number of ways to 3L shape squares around the shaded figure = 6
Total number of ways to choose the 3L shape figure = 24 + 6 = 30

[Dharma]

Vanilla Cake:

http://postimage.org/image/2oi05iksk/

http://postimage.org/image/1asfuc42s/