# problem solving help

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

1. ### doubleraaNew 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.

347x26

And this next one without a protractor!

Thank you very much in advance!

2. ### Vince_UlamStar 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_UlamStar 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. ### doubleraaNew commenter

Thank you very much!

Any ideas on the triangle one?!

5. ### Andrew JeffreyNew 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.

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

7. ### doubleraaNew 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. ### CKeyesNew commenter

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

9. ### Vince_UlamStar commenter

Bar Modelling Method, no solution given.

Algebra, no problem.