Tutor MathsGuru: Ask me for your burning Maths questions!

[Dharma]

Herbie:

Hi Maths Monster

Sorry, I dun understand how you workout part b.

b) From power of 4 to 7, the pattern is 0625, 3125, 5625, 8125 and it repeats itself for every 4 power. Therefore, 210/4 = 52 reminder 2, so the last 4 digits is 5625 and its sum = 5 + 6 + 2 + 5 = 18

can explain in more detail?

Hi Herbie,

The nos w/ at least 4 digits starts with
power of 5

The last 4 digits from power of 5 are as follows
Power of 5 => 3125
Power of 6 => 5625
Power of 7 => 8125
Power of 8 => 0625
Power of 9 => 3125
Power of 10 => 5625
and goes on .....

Notice that the pattern repeats every 4 powers

Power of 5 => 5/4 = 1R1 gives 3125
Power of 6 => 6/4 = 1R2 gives 5625
Power of 7 => 7/4 = 1R3 gives 8125
Power of 8 => 8/4 = 2R0 gives 0625

So, for power if 210 => 210/4 = 52R2 ... Remainder is 2
From our pattern, the last 4 digits
must be 5625 giving the sum of the last 4 digits = 5 + 6 + 2 + 5 = 18

[Almighty]

Thank u very much for the reply but,Very sorry Dharma.I Still cannot understand the things written in red. Can u plssss clarify?

Dharma:

Almighty:

One problem.... Please help!!

Two identical containers X and Y have sugar and rice in the ratio 1 : 3 and 2:5 respectively. Tank Z contains some rice only. All the sugar in both containers are put into tank Z. The ratio of the sugar to the rice in tank Z is 3:5. How much sugar is in container X at first if there are 500 g of rice in Tank Z?

Tank X
s:r
1:3 why DID U MULTIPLY BY 7 ?

Tank Y
S :R
2:5 why DID U MULTIPLY BY 4

Tank X
S : R = 7 : 21

Tank Y
S : R = 8 : 20
Amt of S in
Tank Z = 7u + 8u = 15u

Tank Z
S : R = 3 : 5 = 15 : 25

25p = 500g
15p = 15u = 300g
1u = 20g
7u = 140g (Amt of sugar in Tank X)

# Use assumed that 5 parts(rice) in Tank Z = 500g. That is where u went wrong

[Almighty]

tutortamil:

ksi:

[quote=\"Almighty\"]Complete the pattern:


5, 15, 10, 25, 30, 50, 55, ?

+10, -5, +15, -5, +20, -5, +25

So the next number is 80.

[/quote]
Thanku very much Ksi. I was struggling with it yesterday fully.

[hamsterss]

Help me ! :?:


Make 27 from 1, 3, 4 and 9, using each number only once and using any of the following + x - ÷

Thanks.

[corneyAmber]

XX

[Tang]

Almighty:

tutortamil:

[quote=\"ksi\"]
+10, -5, +15, -5, +20, -5, +25

So the next number is 80.

Thanku very much Ksi. I was struggling with it yesterday fully.

[/quote]Hello,

25 to 30 is +5 and not -5.

You may want to check again.

[corneyAmber]

Almighty:

Complete the pattern:


5, 15, 10, 25, 30, 50, 55, ?

+10, -5, +15, +5, +20, +5, +25

[/quote]

+10, -5, +15, +5, +20, +5, +25, -5, +30, +5, +35, +5.....

Almighty, is 80 correct? If it is then there are 2 alternating series in this and even my initial error has no impact. Otherwise gotta rework.

[Almighty]

s 80 was the answer

[Almighty]

CAN ANYONE HELP ON THESE TWO PROBLEMS:

1) Mei and Lin took part in a cycling race. Mei cycled at a speed of 20 Km/h. Bothof them did not change their speed throughout the race.When Lin civered 1/2 the distance, Mei was 3.5 km in front of her.Mei reached the finishing line at 10.45am.What time did Lin reach the finishing line?

2) David and Michael drove from Town A to Town B at different speeds. Both didnot change their speeds throughout their journeys.
David started his journey 30 minutes earlier than Michael. When Michael reached Town B 50 minutes earlier than David, David had travelled 4/5 of the journey and was 75 Km away from Town B.a) What was the distance between Town A and Town B?
b) How many Kilometres did David travel in 1 hour?
c) What was the time taken by Michael to travel from Town A to Town B?

[Dharma]

Almighty:

CAN ANYONE HELP ON THESE TWO PROBLEMS:

1) Mei and Lin took part in a cycling race. Mei cycled at a speed of 20 Km/h. Bothof them did not change their speed throughout the race.When Lin civered 1/2 the distance, Mei was 3.5 km in front of her.Mei reached the finishing line at 10.45am.What time did Lin reach the finishing line?

2) David and Michael drove from Town A to Town B at different speeds. Both didnot change their speeds throughout their journeys.
David started his journey 30 minutes earlier than David. When Michael reached Town B 50 minutes earlier than David. When Michael reached Town B, David had travelled 4/5 of the journey and was 75 Km away from Town B.
a) What was the distance between Town A and Town B?
b) How many Kilometres did David travel in 1 hour?
c) What was the time taken by Michael to travel from Town A to Town B?

Q1)
When Lin reaches the halfway mark, Mei is 3.5km ahead of her. This means that Mei reached the halfway mark, (3.5km/ 20km/h) = 10.5 minutes before Lin.
When Lin finished her race, Mei would have finished 21 minutes earlier.
Lin reached the finishing line 21 minutes after 10.45am => 11.06am

Q2)
Pls check for typo error