LEARNERS' GRID CONTRACT MATHS B106

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) FENCE MAKING CREDITS Boris is fencing off a paddock which has an area of 1000m². As is common on NZ farms, Boris will construct an 8-strand wire fence. There are two gates planned for the paddock, each gate measuring 3 metres in width. The fencing wire Boris wants to use will cost him $1.50/metre. Not taking into account any waste wire, how much will the total amount of fencing wire needed for this fence cost Boris? [Help]	(2) NUMBING NUMBERS CREDITS [A] Use eleven 3s to make an equation which equals ZERO. [B] Using just six 5s, make an equation which equals ONE! [C] Use 6 (six) 2s to make an equation (including the answer) which is true!
(3) AGE CONUNDRUM CREDIT When my father was 50 I was 9. Now he is twice as old as I am. How old am I? [Help]	(4) HOW MANY????? CREDIT In a class of 30 children, 60% are girls. How many boys in the class like playing rugby if two-thirds of them don't? [Help]
(5) PURCHASING POWER CREDIT Afroman bought a new comb and pocket mirror for a birthday party he was going to. Both items totalled a cost of $15.00. If the price of the comb was a fifth of the cost of the pocket mirror, how much did each item cost? [Help]	(6) SQUARE MAGIC CREDIT [a] Make your own 4 x 4 magic square. It MUST contain the number 12. [b] Make your own 5 x 5 magic square. It MUST contain the number 30.

MODULE TWO

(7) GRAPHIC CONSTRUCT CREDIT
The Parneell Netball team scored a total of 52 goals during 2001. Below is a list of most of the goal scorers and the number of goals they scored. Two people have not been listed with the number of goals they scored. You must work out how many each player scored. The clue is that Cheryl scored twice as many goals as Gretchin.

Draw a histogram on grid paper to show the following information:

Number of goals scored by members of the Parneell Netball Team in 2001:
Kayte = 6, Nichole = 5, Natalie = 8, Grayce = 15,
Wenn = 3, Cheryl = ?, Gretchin = ? [Help]

(8) KNIGHT'S QUEST CREDITS
Use your cunning and intelligence for this one! Show how a knight can move onto every square in this grid without ever landing in the same square twice. Number your steps. Hint: Place even moves on shaded squares!
Your starting position is indicated by the number "1".
KNIGHT'S QUEST

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(9) GOLDEN SPHERES CREDITS

Hewgo, Iain, Mikael and Geremy are tomb raiders who have broken into the tomb of Mr Jimming, an ancient king.
Inside the tomb, they find three identical golden spheres, each with a diameter of 15cm.
The gold weighs 25 grams per cubic centimetre. If gold is worth $179/100 grams, how much are the three balls worth in total? [Help]

(10) PIE GRAPH   CREDITS
Construct a pie graph to represent the below information about the types of music the Intermediate Syndicate at Parnell District School like most:
RAP/HIP-HOP = 15,   RnB = 5,    POP = 20,   HOUSE = 3,
COUNTRY and WESTERN = 9,    TECHNO = 6,   TRANCE = 10,
HEAVY METAL = 7,   ANY = 15  [Help]

MODULE THREE

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

(Problem 11.1) On a map, 1mm represents a distance of 100km. What is the distance, in centimetres, which would show 3450 km? [Help]
(Problem 11.2) Blake and Cally get a telephone bill for $956.25. If it is paid by the end of the month, there is a 15% discount. How much is the reduced bill?
(Problem 11.3) Gazza digs a rubbish hole in his backyard. The hole measures 3m x 2 m x 2 m. How much dirt has Gazza removed?
(Problem 11.4) Sarah buys 6 cans of soft drink. Each can has a diameter of 10cm and is 15cm in height. How many millilitres of drink did Sarah buy? [Help]
(Problem 11.5) Dave buys 6 cans of paint. Each can has a diameter of 25cm and is 20cm in height. How many millilitres of paint did Dave buy?
(Problem 11.6) A CD has ten tracks with a 2-second break between each track. What's the average length of each track if the CD plays for 35 minutes 18 seconds?
(Problem 11.7) 26 - R - R - R = 14. Name the digit that R represents.
(Problem 11.8) A carpark advertises:
$8.00 for the first hour - or part thereof
$4.50 for each subsequent hour - or part thereof
What would the cost of a six hour 25 minute stay be? [Help]
(Problem 11.9) A petrol tank is a third full when it holds 30 litres. How much more petrol does it hold when it is half full? [Help]
(Problem 11.10) If the circumference of a car tyre is 2.2 metres, and the tyre is revolving 6 times per second, how far will the car travel in 10 minutes?

Get the answers here.