Tutor MathsGuru: Ask me for your burning Maths questions!

[OngMum]

Thank you so much for solving the qn, mathsguru.

And thank you also for sharing your take on how to identify different types of qns. Appreciate it! :thankyou:

[kitty2]

mathsguru :?: ,thank you.May i know what's the trick for such questions and how to solve them in a faster way?



Diagram 1 2 3 4 5

1)Number of shaded squares 1 5 9 13 17
Number of unshaded squares 0 4 16 36 64
Total number of squares 1 9 25 49 81

a) Write down the total number of squares in Digram 30

b) Find the total number of unsquares in Digram 50

c)Write down the number of digram that has 29 shaded squares.


2)For 1 step stairway,1 brick is used.For a 2 step stairway,4 bricks are used and so on

a)Write down the number of bricks used for a 5 step stairway
b)write down the number of bricks used for a 40 step stairway
c)Find the number of steps if a total of 144 bricks are used
d)Find the number of steps if a total of 576 bricks are used

[Daddy]

Hi,


I have Math question need help.

A 3-digit number when divided by 5 gives an even number. When it is divided by 3, it also gives an even numbers.
(a) What is the digit in the ones place?
(b) What can be the number be?

Thanks :?

[Muffins]

Daddy:

Hi,


I have Math question need help.

A 3-digit number when divided by 5 gives an even number. When it is divided by 3, it also gives an even numbers.
(a) What is the digit in the ones place?
(b) What can be the number be?

Thanks :?

Hi Daddy, for a), the answer is 0 as 0 & 5 are the only numbers that when divided give a whole number, but 5, when divided, always gives an odd number at the end e.g. 25 divided by 5 is 5, but ten divided by five is two, so the first answer is 0. For b), the number could be a lot of numbers, but the first one that popped into my head is 420. 420 divided by 5 gives you 84, and 420 divided by three gives you 140. So it is accurate.

Hope I helped!

[Daddy]

Thanks,


But for question (b) only one number.

[Muffins]

Ya, I know. The number is 420.

[trytry]

My answer is 120


do a listing multiple of 30: 30,60, 90, 120,150.....

Muffins:

Daddy:

Hi,

I have Math question need help.

A 3-digit number when divided by 5 gives an even number. When it is divided by 3, it also gives an even numbers.
(a) What is the digit in the ones place?
(b) What can be the number be?

Thanks :?

Hi Daddy, for a), the answer is 0 as 0 & 5 are the only numbers that when divided give a whole number, but 5, when divided, always gives an odd number at the end e.g. 25 divided by 5 is 5, but ten divided by five is two, so the first answer is 0. For b), the number could be a lot of numbers, but the first one that popped into my head is 420. 420 divided by 5 gives you 84, and 420 divided by three gives you 140. So it is accurate.

Hope I helped!

[Dharma]

Daddy:

Hi,


I have Math question need help.

A 3-digit number when divided by 5 gives an even number. When it is divided by 3, it also gives an even numbers.
(a) What is the digit in the ones place?
(b) What can be the number be?

Thanks :?

1.\tIf a number is divisible by 5, then its ones digit must be either 0 or 5.

2.\tSince the number when divided by 5 must given an even number; the number itself must be an even number; so its ones digit must be 0
Even x Odd = Even

3.\tIf a number is divisible by 3; its sum of digits must be divisible by 3
4.\tThe numbers can be 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990

[Dharma]

kitty2:

mathsguru :?: ,thank you.May i know what's the trick for such questions and how to solve them in a faster way?



Diagram 1 2 3 4 5

1)Number of shaded squares 1 5 9 13 17
Number of unshaded squares 0 4 16 36 64
Total number of squares 1 9 25 49 81

a) Write down the total number of squares in Digram 30

b) Find the total number of unsquares in Digram 50

c)Write down the number of digram that has 29 shaded squares.

http://www.postimage.org/image.php?v=TsggUnS

[Dharma]

kitty2:

mathsguru :?: ,thank you.May i know what's the trick for such questions and how to solve them in a faster way?



2)For 1 step stairway,1 brick is used.For a 2 step stairway,4 bricks are used and so on

a)Write down the number of bricks used for a 5 step stairway
b)write down the number of bricks used for a 40 step stairway
c)Find the number of steps if a total of 144 bricks are used
d)Find the number of steps if a total of 576 bricks are used

1 step Stairway - 1 brick (1x1)
2 step Stairway - 4 bricks (2x2)

So,
N step Stairway - Nx N bricks