You must do at least one (1) problem (or set of problems) from Module 2, and you must do all of Module 3. Each question is worth either 1, 2 or 3 credits represented by this black square:

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Online help is available at: http://www.berghuis.co.nz/abiator/maths/contractindex.html OR http://www.berghuis.co.nz/abiator/patana/5t/mathsframe.html
HINTS |||| HALL OF FAME

MODULE ONE: Number

(1) Make 36 CREDIT
Use division, multiplication, addition and subtraction to make each set of numbers into equations which will equal 36. You may use brackets, also.

a) 2, 6, 9, 9
b) 2, 4, 4, 4

c) 2, 4, 6, 8
d) 4, 5, 5, 9

(2) Operation Operations CREDIT

Insert brackets and/or operation symbols into the below sequence of numbers to make a true equation which totals 100. A list of operation symbols has also been listed; you may only use the four operations listed as often as you like!
Numbers: 1 2 3 4 5 6 7 8 9
Operations: ÷ x + −
You may not change the order of the numbers, but you can join them to make 2- or 3-digit numbers. The operations can be used in any order and as many times as you wish. [Help]

(3) What is This Place??!!!

CREDIT
Name the number for each set of clues.
a)

The hundredths and ones place digits are the same, and together they make a sum of 4. The tenths place digit is 2 less than the hundredths place digit. The tens place digit has the largest face value of all of the digits. By adding all the face values of each digit, you get a sum of 8. [Help]

b) The face value of the hundreds digit is one greater than the tenths digit, and two greater than the ones digit. Together, these three digits make a sum of 21. By adding the face value of the tens digit to 21, the sum remains 21! [Help]

MODULE TWO: Problem Solving Galleria

You MUST show all working for each question you choose to answer. You MUST use one of the methods of calculation we have covered so far this year.

(Problem 1) CREDITS Sharing Saves Christmas! Bessie Cratchitt looked at the sad faces of her 5 children. It was nearing Christmas and they needed money to go out and buy presents for each other. The problem was that not one of her children had saved any money all year. They had spent it all on movies, computer games, and daffodils.
Bessie sighed; she knew she had to splash out the dosh!
Bessie handed each child two one-pound notes, five fifty-pence pieces, three twenty-pence pieces and a ten-pence piece.
How much did each child receive, and how much did poor Bessie Cratchitt give to her children in total? [Help]
[Online practice of this kind of calculation: http://www.berghuis.co.nz/abiator/patana/5t/numeracy/u03_ko3_3.html] & http://www.berghuis.co.nz/abiator/patana/5t/numeracy/u03_ko3_3b.html]

cam toy (Problem 2) CREDITS Cam Toy Hubert Dess was making a cam toy. Boy! What a mission it was turning out to be! He'd drawn up his plans and made his calculations and was now in the middle of sawing pieces of wood for his cam toy frame.
Hubert had decided, in his plans, that he needed eight 9.8cm long pieces of wood. Luckily, and amazingly, Hubert happened to have a length of wood exactly the right length from which he could cut his 8 pieces of wood. And there would be no wood left over!