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problem solving help

Discussion in 'Mathematics' started by doubleraa, Oct 3, 2015.

  1. doubleraa

    doubleraa New commenter

    Hello maths whizzes out there!

    I have a couple problems from a sample ks2 reasoning paper here with the answers but I don't know how the answer has been arrived at in order to help the children get there! Please help!

    Thomas, Janaid and Sara received a total of £75 for their hard work. Thomas received £8 less than Sara but £5 more than Janaid. How much did they each receive?

    Thomas £24, Janaid £19 and Sara £32.


    upload_2015-10-3_12-44-42.png

    347x26

    And this next one without a protractor!
    upload_2015-10-3_12-45-50.png

    Thank you very much in advance!
     
  2. Vince_Ulam

    Vince_Ulam Star commenter

    374*26 with fast & dirty notation:

    1. Determine a, which of your five candidate digits factors 2082 into b, a number accounting for three of your four remaining candidate digits.
    2. Position a as your unit digit on line 2. Position b as the three-digit number in line 1.
    3. Call the remaining digit of your five original candidates c and check that it and b produce 694.
    4. Position c as the tens digit in line 2.
    5. Rehearse the calculation to check for errors.

    Lunchtime.
     
  3. Vince_Ulam

    Vince_Ulam Star commenter

    Thomas, Janaid and Sara:

    1. Recognise that each person received a minimum payment of x.
    2. Place the names in order of increasing payment: Janaid, Thomas, Sara.
    3. Abstract the names to terms representing their respective amounts: x, (x + 5), (x + 5 + 8).
    4. Place these three terms in an equation set against their sum, 75: x + x + 5 + x + 5 + 8 = 75.
    5. Simplify: 3x + 18 = 75.
    6. Manipulate this equation to isolate the x term: 3x = 75 - 18.
    7. Simplify: 3x = 57
    8. Divide both sides of the equation by 3 to find the minimum payment: x = 19.
    9. Refer to steps 3 to find that Janaid received the minimum payment of £19, Thomas received £19 + £5 = £24, and Sara received £19 + £5 + £8 = £32.
    10. Check calculations for errors.

    Dessert.
     
  4. doubleraa

    doubleraa New commenter

    Thank you very much!

    Any ideas on the triangle one?!
     
  5. Andrew Jeffrey

    Andrew Jeffrey New commenter

    I am 99% sure that it is a typo on behalf of the producer of the papers. Have you gone back and pointed it out to them? This question cannot be done without measuring instruments, and I am not sure why they mention digit cards, hence my money going on a proof-reading error.

    Do you have a contact at ****** that you can ask about this?
     
  6. Incommunicado

    Incommunicado Established commenter

    What is the 'without a protractor' question.... I can't read it.
     
  7. doubleraa

    doubleraa New commenter

    It says: Draw an isosceles triangle with 2 sides of length 65mm where the angle between these 2 equal sides is 52 degrees.

    Andrew: I agree there's been a misprint as the digit cards must refer to the first question I posted! I know on some papers they allow rulers, protractors etc but on this one it said only a pencil and rubber to be allowed so I wondered if there was a way to do it without a protractor that I didn't know about!
     
  8. CKeyes

    CKeyes New commenter

    Thomas, Janaid and Sara:
    Bar Modelling Method gets there, without using "x"!
     
  9. Vince_Ulam

    Vince_Ulam Star commenter


    Bar Modelling Method, no solution given.

    Algebra, no problem.
     

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