Maths help!
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Maths help!
Hello,
1. Max spent 46p on sweets which costs either 5p or 7p each. How many sweets he buy altogether?
2. How many 4 digit numbers can be made by using the digits 1,1,2 and 3?
( appreciate Easy and systematic approach, not trial and error, as my DS can't cope with trial and error)
Many Thanks!
1. Max spent 46p on sweets which costs either 5p or 7p each. How many sweets he buy altogether?
2. How many 4 digit numbers can be made by using the digits 1,1,2 and 3?
( appreciate Easy and systematic approach, not trial and error, as my DS can't cope with trial and error)
Many Thanks!
Re: Maths help!
Trial and improvement is a valid mathematical method; it is systematic.rejim2 wrote:Hello,
1. Max spent 46p on sweets which costs either 5p or 7p each. How many sweets he buy altogether?
2. How many 4 digit numbers can be made by using the digits 1,1,2 and 3?
( appreciate Easy and systematic approach, not trial and error, as my DS can't cope with trial and error)
Many Thanks!
1) think about multiples of 5 and 7
5, 10, 15, 20, 25, 30, 35, .....
7, 14, 21, 28,
How can we get a '6' as a units digit?
2) Take each number in turn to combine
1123
1132
2113
etc
Re: Maths help!
Thank-you Guest55!
I assumed trial and error takes time to find solution.
I assumed trial and error takes time to find solution.
Re: Maths help!
That's why it's now called trial and improvement- choices are not random.
The key in number one is seeing that the '6' has to come from a multiple of 5 ending with units digit 5 and a multiple of 7 ending in units digit of 1.
In combinations of e.g. abcd there is a logical way of tackling it:
abcd
abdc
acbd
acdb
adbc
adcb ...
The key in number one is seeing that the '6' has to come from a multiple of 5 ending with units digit 5 and a multiple of 7 ending in units digit of 1.
In combinations of e.g. abcd there is a logical way of tackling it:
abcd
abdc
acbd
acdb
adbc
adcb ...
Re: Maths help!
Another maths question, please!
Ben and Beth's ages add up to 10. In ten years time, Ben will be one and half times as old as Beth. How old is Beth now?
Ben and Beth's ages add up to 10. In ten years time, Ben will be one and half times as old as Beth. How old is Beth now?
Re: Maths help!
We know Ben is older ...rejim2 wrote:Another maths question, please!
Ben and Beth's ages add up to 10. In ten years time, Ben will be one and half times as old as Beth. How old is Beth now?
Try some numbers
Ben 9 ------------ add 10 = 19
Beth 1 ----------- add 10 = 11
Ben 8 ------------- add 10 = 18
Beth 2 ------------ add 10 = 12 which works
Re: Maths help!
Trial and improvement is a precursor to professional adult investigative mathematics. In the real world the answers are not known and mathematicians use systematic methods to model a problem and find solutions.
Re: Maths help!
I am always impressed with the children who just get stuck in and work it out...
I'm not happy the way "formal methods" are being lauded currently, I loved the way the numeracy strategy invoked a sense of number..asking children how they approached a problem - I learnt a lot!
Re: Maths help!
Ditto - a true mathematician is creative and often has a novel approach.yoyo123 wrote:
I am always impressed with the children who just get stuck in and work it out...
I'm not happy the way "formal methods" are being lauded currently, I loved the way the numeracy strategy invoked a sense of number..asking children how they approached a problem - I learnt a lot!
Re: Maths help!
In a previous role I saw 100s of L6 scripts. Trial and improvement was used on a great many scripts including the highest scoring.