# Year 6 Maths challenging question from test paper question bank

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

1. ### sevensealsNew 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”

2. ### StiltskinStar commenter

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

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. ### bombaysapphireStar 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.

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

7. ### carriecat10Established commenter Community helper

There is no calculator paper anymore

8. ### sevensealsNew commenter

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