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    11+ Transfer Test Questions

    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.

    35 Comments

    Banned

    come on be honest

    homework isnt it?

    how are you working out tell me and we'll work on it together

    Divide 378 by 2, then add 7 to find the Girls?

    Banned

    emasu;6357373

    Divide 378 by 2, then add 7 to find the Girls?



    add 14?

    woops no its not HAHA

    emasu;6357373

    Divide 378 by 2, then add 7 to find the Girls?




    ssshhhhh :roll:

    Banned

    choc1969;6357380

    ssshhhhh :roll:



    i knoww :roll:

    378 minus 14 equals 364boys!!

    Original Poster

    emasu;6357373

    Divide 378 by 2, then add 7 to find the Girls?


    Thanks, easier than my way

    kapows;6357377

    add 14?



    7...

    378/2 = 189

    196 Girls, 182 Boys

    Original Poster

    should I post a few more ?

    ha ha ive done it wrong!!

    Original Poster

    Q) Cara got 19 spellings right in a test, if she got 6 wrong, what percentage did she get right ?

    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 )

    its 378 minus 14 divided by two to give the boys and add 14 on to get the girls

    mrtootough;6357417

    Q) Cara got 19 spellings right in a test, if she got 6 wrong, what … 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

    Original Poster

    Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?

    Original Poster

    ClarityofMind;6357418

    most clearly total number of pupils =378there are x number of boys and … most clearly total number of pupils =378there are x number of boys and x+14 number of girls so ( 378-14 ) divided by 2 = number of boys364 divided by 2= 182 boys( and 196 girls )


    378 + 14 / 2 = 196 girls

    mrtootough;6357440

    Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?


    50...

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

    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

    mrtootough;6357440

    Q) How many 20p coins could James exchange for 20 Fifty Pence Coins ?



    50!?

    harlzter;6357453

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



    lol..

    mrtootough;6357440

    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

    jah128;6357457

    If you cant figure it out, it really is sometimes easiest to turn the … If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...378 = girls + boysboys = girls - 14So replace 'boys' with 'girls - 14'378 = girls + (girls - 14)Add fourteen to both sides392 = girls + girls = 2 x girlsDivide by 2...196 = girls




    woah the first way wrote by the op was easy, this way is over my head.

    jah128;6357457

    If you cant figure it out, it really is sometimes easiest to turn the … If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...378 = girls + boysboys = girls - 14So replace 'boys' with 'girls - 14'378 = girls + (girls - 14)Add fourteen to both sides392 = girls + girls = 2 x girlsDivide by 2...196 = girls



    I think algebra is easiest too x x

    harlzter;6357465

    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

    Original Poster

    jah128;6357457

    If you cant figure it out, it really is sometimes easiest to turn the … If you cant figure it out, it really is sometimes easiest to turn the problem into algebra...378 = girls + boysboys = girls - 14So replace 'boys' with 'girls - 14'378 = girls + girls - 14Add fourteen to both sides392 = girls + girls = 2 x girlsDivide by 2...196 = girls


    Will try explain this to him in the morning lol

    mrtootough;6357476

    Will try explain this to him in the morning lol



    378 - 14= 364
    364/2=182.. 182 boys..
    182-378=196...196 girls..

    Original Poster

    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

    Original Poster

    Guyver;6357490

    378 - 14= 364364/2=182.. 182 boys..182-378=196...196 girls..



    Not quite right.

    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.

    mrtootough;6357502

    Not quite right.



    how not they are the correct answers =o

    harlzter;6357504

    not to this bonehead, its adding steps to a simple (for me) solution, it … 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.

    Original Poster

    Guyver;6357515

    how not they are the correct answers =o


    182-378=196...196 girls.. ???

    mrtootough;6357532

    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:)

    Original Poster

    Guyver;6357559

    What else could the answer be!Question states there are 14 more 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:)



    Think you got the numbers the wrong way around. Thanks for the wishes

    ClarityofMind;6357519

    my daughter is like that.... I cant teach her to follow a thought through … 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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