O-Level Additional Math

[lost boy]

Thank you for your help Jieheng.

[Michaelia0816]

Need help with this Sec 1 Factor and Multiple Question:


3 faulty light bulbs which flickers a intervals of 6,45 and x minutes respectively. If all of them flickers at the same time at 3 minutes interval, find the smallest possible value of x?

Sources:
From Pasir Ris Sec School Paper

[Skyed]

Michaelia0816:

Need help with this Sec 1 Factor and Multiple Question:


3 faulty light bulbs which flickers a intervals of 6,45 and x minutes respectively. If all of them flickers at the same time at 3 minutes interval, find the smallest possible value of x?

Sources:
From Pasir Ris Sec School Paper

Do you mean \"flickers at intervels of 6,45 and x SECONDS respectively\"? Because otherwise the question doesn't make sense.

[Michaelia0816]

Sorry, u r correct. It should be at intervals of 6,45, x minutes respectively.

[Michaelia0816]

Skyed:

Michaelia0816:

Need help with this Sec 1 Factor and Multiple Question:


3 faulty light bulbs which flickers at intervals of 6,45 and x minutes respectively. If all of them flickers at the same time at 3 minutes interval, find the smallest possible value of x?

Sources:
From Pasir Ris Sec School Paper

Do you mean \"flickers at intervels of 6,45 and x SECONDS respectively\"? Because otherwise the question doesn't make sense.

Pls help me with this question. I had changed the corrections.

[Skyed]

The correction are you sure it’s not seconds? Because I don’t think it’s minutes.

[Michaelia0816]

I have common test tmr, can help me with this challenging questions:


1.Given that the HCF of 30,100 and x is 10 and x is not equal to 10, find 3 possible values of x less than 150.

2. Given that the LCM of 5,14 and y is 140, find 3 possible of y.

3.Find the smallest positive integer n for which perfect cube 2750n is a whole number.

4. Rashid had sweets of 3 different flavours. There were 99 strawberry flavoured, 42 orange flavoured and 141 lemon flavoured sweets. He packed an equal number of each flavour into small packet but 1 strawberry and 1 lemon flavoured sweets were left out.
(a) (i) What was the maximum number of packets?
(ii) How many sweets were there in each small packets?

(b) If all sweets were included,
(i) what was the maximum number of packets
(Ii) how many sweets were there in each packet

[Michaelia0816]

Michaelia0816:

I have common test tmr, can help me with this challenging questions:


1.Given that the HCF of 30,100 and x is 10 and x is not equal to 10, find 3 possible values of x less than 150.

2. Given that the LCM of 5,14 and y is 140, find 3 possible of y.

3.Find the smallest positive integer n for which perfect cube 2750n is a whole number.

4. Rashid had sweets of 3 different flavours. There were 99 strawberry flavoured, 42 orange flavoured and 141 lemon flavoured sweets. He packed an equal number of each flavour into small packet but 1 strawberry and 1 lemon flavoured sweets were left out.

(a) (i) What was the maximum number of packets?
(ii) How many sweets were there in each small packets?

(b) If all sweets were included,
(i) what was the maximum number of packets
(Ii) how many sweets were there in each packet

Pls help with Q3 and 4, I had completed Q1 and 2

[jieheng]

[quote="Michaelia0816"]I have common test tmr, can help me with this challenging questions:


1.Given that the HCF of 30,100 and x is 10 and x is not equal to 10, find 3 possible values of x less than 150.

2. Given that the LCM of 5,14 and y is 140, find 3 possible of y.


1)

HCF = 10 =25

30 = 235

100 = 2²5²

X must include 25 and other prime numbers 2,3,5,7,11,13

Possible values of x less than 150 are 20 , 40 , 50 , 60 , 70 , 80 , 90 , 110 , 120 , 130 , 140


2)

LCM = 140 = 2²57

5

14 = 27

y must include 2² and prime numbers 5 , 7 and 5*7

Possible values of y = 4 , 20 , 28 , 140

[Michaelia0816]

Ty so much , ty