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Year 6 Maths challenging question from test paper question bank

Discussion in 'Mathematics' started by sevenseals, Jan 16, 2017.

  1. sevenseals

    sevenseals New commenter

    Given below is a challenging Maths question. Do you think it is suitable for Year 6 students?

    “Shawn’s weekly allowance is $11 less than Janet’s. Janet spends $13 less than Shawn every week. Janet spends 7 / 13 of her allowance every week. Shawn saves 1 / 2 as much as Janet every week. How much did Shawn spend after 2 weeks?”

    http://www.examinationsolutions.com/sg_free_primary_test_papers/

    Question 18 of “P6 Math SA2 2016 Grade AA Mock Exam Test Paper 2 - Word Problems”
    http://www.examinationsolutions.com...ths_sa2_2016_grade_aa_paper2_q18_solution.pdf
     
  2. Stiltskin

    Stiltskin Star commenter

    It depends what they've been taught. But for most Y6 in England, having followed the bare basics of the NC. No.
     
  3. NewToTeachingOldToMaths

    NewToTeachingOldToMaths Lead commenter

    Well, I have just solved it:

    Janet's weekly allowance is $104, and Shawn's weekly allowance is £93
    Janet spends $56 every week, and Shawn spends $69 every week
    Therefore Janet saves $48 every week, and Shawn saves $24 dollars every week

    After two weeks Shawn did spend $138

    I am not posting my working because I am not sure I have taken the shortest route to the answer. However you do it, it involves some fairly hideous simultaneous equations, multiple substitutions, and awkward fractions to distil out a numerical value which you can then plug back in to arrive at the solutions.

    This is not Year 6 stuff.
     
  4. bombaysapphire

    bombaysapphire Star commenter

    Is it a calculator paper? They could identify that Janet's allowance has to be a multiple of £13 and test some values. Still challenging though - lots of words to interpret.
     
  5. NewToTeachingOldToMaths

    NewToTeachingOldToMaths Lead commenter

    True - I just read it as a "construct the algebra to solve this conundrum" type of question. I didn't consider trial and refinement ...
     
  6. teselectronic

    teselectronic Occasional commenter

     
  7. carriecat10

    carriecat10 Established commenter Community helper

    There is no calculator paper anymore
     
  8. sevenseals

    sevenseals New commenter

    Thanks for the feedback. Agree that it is not suitable for Year 6 in UK as "There is no calculator paper anymore".
     

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