LEARNERS' GRID CONTRACT MATHS B103

Compiled by AnjulberG for non-profit classroom use. Includes material from various sources

HINTS are available for most questions below

INSTRUCTIONS: You must do at least two (2) problems from each module.
Each question is worth either 1, 2 or 3 credits - .
You must score at least 10 credits to complete your contract. You can do more problems to get more credits, of course.

MODULE ONE

(1) DIE PROBLEM CREDIT How many different number combinations on 4 regular cubic die can total 14?	(2) MATRIX CREDIT Draw a 5 x 5 matrix (a grid!), and make sure the digits 1, 2, 3, 4, 5 appear in each column and row once only.
(3) PLUS AND MINUS CREDITS a) Insert 7 plus or minus signs between the digits to make the equation correct: 1 2 3 4 5 6 7 8 9 = 100 b) Do the same thing as above, but with only 3 plus or minus signs: 1 2 3 4 5 6 7 8 9 = 100	(4) DIFFERENT BUT THE SAME CREDITS Sometimes, you can change PLUS signs to MULTIPLY signs and still get the same result, e.g. 2 + 2 = 2 x 2. You can do the same with 3 numbers as well: 1 + 2 + 3 = 1 x 2 x 3. Find three solutions for five (5) numbers. You can use the same digit more than once.
(5) TEN CHAIRS CREDIT In a rectangular dance hall, show how you could place 10 chairs along the walls so that there are an equal number of chairs along each wall.	(6) MULTIPLICATION DIGITS CREDIT Complete each problem below so that they are correct and so that each problem uses the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once only. [a] 1963 x ? = ? [b] 198 x ? = ?

MODULE TWO

(7) TRIANGULARIZATION CREDIT Construct two iscoceles triangles, cut them out, and then fit them together to make an equilateral triangle.	(8) ZINGERS AND PINGERS CREDIT
(9) BOX IT! CREDITS Construct a paper box for my set of kanji cards. The set of cards measures 115mm x 151mm x 35mm. Your box does not need a lid, but the set of cards should fit snugly, and your box should have sharp, straight edges.	(10) Tessellation Town CREDITS Design and draw your own original tessellating shape. Prove it tessellates by tessellating it so that one of the figures is surrounded.

MODULE THREE

(11) Problem Solving Galleria. Below are 10 problems. Show your working to have your answers considered completed.

(Problem 11.1) Trudy is giving away a total of 54 marbles to her brother, Gerry, and her sister, Mabel.
If she gave Gerry and Mabel the marbles at a ratio of 5:4, respectively, how many marbles did each person receive? [Help]
(Problem 11.2) A bucket with a capacity of 2.20 litres is filled with water and emptied into a 100 litre tank 43 times.
[a] How much water is now in the tank if it was empty to begin with?
[b] How much is still needed to completely fill the tank?
(Problem 11.3) I bought 13 exercise books for $12.35. How much would 20 exercise books cost?
(Problem 11.4) Dot and Cameron made a triangular pyramid during maths. Each side of the base triangle measured 5cm and the height is 4.3cm. The height of each side triangle was 7cm.
What is the total surface area of the entire pyramid? [Help]
(Problem 11.5) A new type of communications satellite orbited the Earth every 60 minutes. How many times would it orbit the Earth in a week?
(Problem 11.6) In the TV show, CHEERS, the star, Ted Danson, received an average of $175, 000 per episode. The show ran for 13 seasons. 24 shows were made per season, plus a Christmas special every year, AND an extra show every hundred shows. How much did Danson receive in total?
(Problem 11.7) A roll of dog sausage was shared between 5 dogs so that each dog received 175g of food. If the same amount of food had to be shared between 7 dogs, how much would each dog receive? [Help]
(Problem 11.8) Natasha makes a paper box which is 7cm high, 10cm long and which has a volume of 1190cm³. What was the width of this box? [Help]
(Problem 11.9) Nobby makes a paper box which is 6cm high, 6cm long and which has a volume of 432cm³. What was the width of this box? [Help]
(Problem 11.10) A room measures 12m x 14.5m. Carpeting costs $56.50/m² and the underlay costs $11.75/m². A carpet layer charges $38.00/hour and the job will take 3-and-a-half hours.
How much will it cost to carpet the room?

Get the answers here.