Tutor MathsGuru: Ask me for your burning Maths questions!

[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.

[Dharma]

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.

2)
N + (N – 1) + ( N – 2 ) + … + ( N – 10 ) + X = 200
11N - 55 + X = 200
X = 255 – 11N
Since X > 0

Smallest value of X is when N = 23
X = 255 – 253 = 2
Minimum number of people whose birthday fall on the same month = 2




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?

3)
LCM of (3, 4 and 5) = 30

99999 divide 30 = 33333.3
Largest 5-digit number which is a multiple of 2, 3 and 5 = 3333 x 30 = 99990

Largest 4-digit number which is divisible by 2, 3 and 5 = 333 x 30 = 9990

Therefore, number of 5-digit numbers divisible by 2, 3 and 5 = (99990 – 9990) / 30 = 3000

[Vanilla Cake]

http://postimage.org/image/2o8g5qe2s/


http://postimage.org/image/34icnb0mc/

http://postimage.org/image/1yp7bb24k/
Thks in advance for your worked solutions.Much appreciated.

[Vanilla Cake]

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


http://postimage.org/image/1yqo8i5xg/

http://postimage.org/image/10rq2j2jo/

Thks in advance for your worked solutions.Much appreciated.

[Vanilla Cake]

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


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

http://postimage.org/image/10w6hnqg4/

Thks in advance for your worked solutions.Much appreciated.

[Vanilla Cake]

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


http://postimage.org/image/10yuetv38/

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

Thks in advance for your worked solutions.Much appreciated.

[Vanilla Cake]

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


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

http://postimage.org/image/2oi1t1xac/

Thks in advance for your worked solutions.Much appreciated.

[Dharma]

Vanilla Cake:

http://postimage.org/image/2o8g5qe2s/

Q5

1/2 x AD x BC = 1/2 x BE x AC
AD = 20 x 18/ 24 = 15
x = 15cm

[Dharma]

Vanilla Cake:

http://postimage.org/image/34icnb0mc/

Q7
Name the columns A,B,C and D from left to right and the rows 1,2, 3 and 4 from top to bottom.

Notice the pattern below :
C3 = C4 + D4 + D3
5 = 1 + 3 + 5

B2 = B3 + C3 + C2 = 7 + 5 + 7 = 19

Check

A1 = A2 + B2 + B1 = 35 + 19 + 35 = 89 - OK

x = 19

[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.