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11+ Transfer Test Questions

mrtootough Avatar
7y, 3m agoPosted 7 years, 3 months ago
Son is about to set his test in November. Can anyone explain the best method of working out the following please.

Q) There are 14 more girls than boys at a school. In total there are 378 pupils
How many girls are at the school ?

Emasu already gave the answer - thanks - so if you want to try it, don't look down just yet.
mrtootough Avatar
7y, 3m agoPosted 7 years, 3 months ago
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banned#1
come on be honest

homework isnt it?

how are you working out tell me and we'll work on it together
1 Like #2
Divide 378 by 2, then add 7 to find the Girls?
banned#3
emasu
Divide 378 by 2, then add 7 to find the Girls?


add 14?

woops no its not HAHA
#4
emasu;6357373
Divide 378 by 2, then add 7 to find the Girls?



ssshhhhh :roll:
banned#5
choc1969
ssshhhhh :roll:


i knoww :roll:
#6
378 minus 14 equals 364boys!!
#7
emasu;6357373
Divide 378 by 2, then add 7 to find the Girls?

Thanks, easier than my way
#8
kapows;6357377
add 14?


7...

378/2 = 189

196 Girls, 182 Boys
#9
should I post a few more ?
#10
ha ha ive done it wrong!!
#11
Q) Cara got 19 spellings right in a test, if she got 6 wrong, what percentage did she get right ?
#12
most clearly

total number of pupils =378

there are x number of boys and x+14 number of girls

so ( 378-14 ) divided by 2 = number of boys

364 divided by 2

= 182 boys

( and 196 girls )
#13
its 378 minus 14 divided by two to give the boys and add 14 on to get the girls
#14
mrtootough
Q) Cara got 19 spellings right in a test, if she got 6 wrong, what percentage did she get right ?


25 questions total

so 19 divided by 25 multiplied by 100 to find percentage

76 % correct xx
#15
Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?
#16
ClarityofMind;6357418
most clearly

total number of pupils =378

there are x number of boys and x+14 number of girls

so ( 378-14 ) divided by 2 = number of boys

364 divided by 2

= 182 boys

( and 196 girls )

378 + 14 / 2 = 196 girls
#17
mrtootough;6357440
Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?

50...

unless they are the mule 20p coins then................
#18
If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...

378 = girls + boys
boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + girls - 14

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls
#19
mrtootough
Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?


50!?
#20
harlzter
50...

unless they are the mule 20p coins then................


lol..
#21
mrtootough
Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?


20 times 50p = ten quid

1000 ( ten pounds ) divided by 20 ( pence )

= 50 twenty pences x
#22
jah128;6357457
If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...

378 = girls + boys
boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + (girls - 14)

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls



woah the first way wrote by the op was easy, this way is over my head.
#23
jah128
If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...

378 = girls + boys
boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + (girls - 14)

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls


I think algebra is easiest too x x
#24
harlzter
woah the first way wrote by the op was easy, this way is over my head.


no this way explains why in every step... it makes the most sense x x
#25
jah128;6357457
If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...

378 = girls + boys
boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + girls - 14

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls

Will try explain this to him in the morning lol
#26
mrtootough
Will try explain this to him in the morning lol


378 - 14= 364
364/2=182.. 182 boys..
182-378=196...196 girls..
#27
thanks to all, might post some more up tomorrow, he has done about 25 practice tests and still he loves me. I know for sure I'm more nervous than him. TTFN
#28
Guyver;6357490
378 - 14= 364
364/2=182.. 182 boys..
182-378=196...196 girls..


Not quite right.
#29
ClarityofMind;6357474
no this way explains why in every step... it makes the most sense x x

not to this bonehead, its adding steps to a simple (for me) solution, it literally took a second or 2 in my head to work out, using the algebra method involves more steps to my mind where I'd have to jot it down to remember. I can do mathematics a doddle in my head but written down I stumble on the most basics. Unless of course its just reading the formula thats thrown me.
#30
mrtootough
Not quite right.


how not they are the correct answers =o
#31
harlzter
not to this bonehead, its adding steps to a simple (for me) solution, it literally took a second or 2 in my head to work out, using the algebra method involves more steps to my mind where I'd have to jot it down to remember. I can do mathematics a doddle in my head but written down I stumble on the most basics. Unless of course its just reading the formula thats thrown me.


my daughter is like that.... I cant teach her to follow a thought through like I can, but she can neatly jump straight to the answer with minimal working out.... but then cant show her reasoning...

not good these days as they have to prove all their working out as they go.
#32
Guyver;6357515
how not they are the correct answers =o

182-378=196...196 girls.. ???
#33
mrtootough
182-378=196...196 girls.. ???


What else could the answer be!

Question states there are 14 more girls thus 196 must be girls and can be double checked by adding 196 to 182 to get 378.. and by adding 14 to 182...

It's how I worked it out but nvm good luck to both of you:)
#34
Guyver;6357559
What else could the answer be!

Question states there are 14 more girls thus 196 must be girls and can be double checked by adding 196 to 182 to get 378.. and by adding 14 to 182...

It's how I worked it out but nvm good luck to both of you:)


Think you got the numbers the wrong way around. Thanks for the wishes
#35
ClarityofMind;6357519
my daughter is like that.... I cant teach her to follow a thought through like I can, but she can neatly jump straight to the answer with minimal working out.... but then cant show her reasoning...

not good these days as they have to prove all their working out as they go.


Its one of these things, like harlzter and a lot of other people its the sort of problem that I can easily work out in a matter of seconds using emasu's method or something similar in my head - but I'd guess around 11 is probably the ideal time to start thinking of things in terms of algebra. There are seemingly extra steps (but in this case its basically operations you are performing in your head almost without realising) - but if you can start to rationalise things in terms of simple algebra you can show your working and make double sure of your answers - by GCSE you will need to use it a lot so its not a bad idea to start practicing early :thumbsup:

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