LEARNERS' GRID CONTRACT MATHS A200

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) Make 24 CREDIT
Use division, multiplication, addition and subtraction to make each set of numbers into equations which will equal 24. You may use brackets, also.

a) 4, 4, 5, 6
b) 6, 9, 2, 4
c) 2, 4, 7, 2
d) 1, 3, 5, 8

(2) Letters, Numbers... Confusion! CREDITS
Look at the equations below. Each letter represents a different digit. Can you figure out which digit each letter represents? [Help]

ABC + CDB = EED
D + B = C
E - C = A

(3) Farmer Yobbler

CREDITS

a) Farmer Yobbler planted a small crop of carrots. Yobbler planted 25 rows of carrots. Each row contained 20 carrots.
Yobbler sold her full crop of carrots for a total of $270.00.
The costs of fertiliser and seed totalled 10% of what she sold the carrots for.
How much money did Framer Yobbler make from EACH carrot (round off to the nearest cent!)? [Help]
b) Farmer Yobbler had a few cows, also. Yobbler was able to sell 525 litres of milk every week.
Yobbler was paid 50 cents per litre.
During August, the price of milk went up by 10%, which made Yobbler very happy.
During August, how much MORE did Yobbler make on milk than she would have in July? [Help]

(4) Mystery Numbers

CREDITS
Name the number for each set of clues.

a) It is a 3-digit whole number. One of the digits is the square root of 9. It's an even number. It's greater than 499. The sum of the digits is 15. Each digit is different. [Help]
b) It is a 3-digit whole number. It's divisible by 2. It is divisible by 4. It's divisible by 5. It's divisible by 3. It's divisible by 6. [Help]
c) It is a 4-digit whole number. It's a square number. Each of its digits is even. It's NOT divisible by 8. [Help]
d) It is a 3-digit whole number. It's a prime number. It's less than 200. Each of its digits is different. The sum of its digits is 13. Its tens digit is greater than its ones digit. [Help]

[NOTE: Two correct answers = 1 credit!]

MODULE TWO

(5) How High? CREDITS The above picture shows a flying fox. Look at the angle BÂC. The size of this angle is 65°. The distance from pole to pole is 45 metres. The distance formed by AC is 12 metres. Draw a scale diagram to help you calculate the approximate height of the pole BC.	(6) Some More Soma CREDITS for each puzzle Tower 200 UFO Tomb 10 Tower 300
(7) Multi-pointed Stars CREDITS a) Using only a compass, ruler and pencil, construct a 6-poited star based upon a regular hexagon. b) Using only a compass, ruler and pencil, construct a 12-pointed star based upon a regular dodecagon (12-sided polygon). (An example of a poorly-constructed 6-pointed star)	(8) Terrible Tangrams!! CREDITS for each puzzle

MODULE THREE

(9) Problem Solving Galleria

(Problem 1)   CREDIT
The owner of a clothing store marked prices according to an unusual pricing system. For example, here are some prices for certain items:
vest = $20  ♣  skirt = $25  ♣  hat = $15  ♣  gloves = $30  ♣  tie = $15
Using this system of pricing, how much would you pay for: (a) coat?    (b) trousers?
(Problem 2) CREDIT
Find the value of x in each of the problems below:
(a) x – –5 = 3 (b) x + –3 = –3 (c) –7 + x = –11 [Help]
(Problem 3) CREDIT
A receptionist earns $358.75 per week. How much will he earn in one year if he has a 10% raise for the final month? [Help]
(Problem 4) CREDIT
A city had rainfalls for the first three quarters of the year of 36.5cm, 28.4cm, 23.6cm. If the total for the year was 1222mm, what was the rainfall for the final quarter?
(Problem 5) CREDIT
A cuboid measures 10.6cm x 8.7cm x 16.2cm. What is the weight of this cuboid if the material it is made of weighs 8 grams/cubic centimetre?
(Problem 6)  CREDITS
The area of a rectangular floor is 39.01m². Its length is 8.3m.
(a)  What is the width?  [Help]
(b)  How wide is the door if it is 3.9% of the perimeter of this room?  [Help]
(Problem 7) CREDIT
Danny earns a weekly wage of $456.75. His sister, Daisy, earns 15% more per week than Danny. How much more than Danny does Daisy earn in a year? [Help]
(Problem 8) CREDIT
Tins of baked beans were on sale for $5.60 per case of 32 tins. If the regular price of each tin was 21 cents, how much money is saved by buying a case?
(Problem 9) CREDIT
Plastic sheeting of 0.017cm thickness is rolled onto a circular tube with a 10cm diameter. With the plastic sheeting rolled onto the tube, the diameter of the entire roll is 15cm. How many full turns of sheeting are there? [Help]
(Problem 10) CREDIT
Brockman wants to buy a new car. The price is listed at $29, 500.95 plus GST, but Brockman manages to get a 20% discount on the retail price since the owner of the car dealership was his mother.
How much does Brockman actually pay for the car? [Help]
(Problem 11) CREDIT
Mrs Noopik is pushing a wheelbarrow from her garden to the rubbish bin. The tyre of the wheelbarrow has a diameter of 45cm. If the distance from the garden to the rubbish bin is 25 metres, how many times will the wheel rotate completely during this journey? [Help]
(Problem 12) CREDIT
A job cost $460.52, of which $270.76 was for materials and the rest for labour. The job took 8 hours to complete. What was the hourly rate for the labour for this job?

(10) Emma CREDIT
The Madset Institute has designed an experimental aeroplane, M.A. series. The scientists and technical staff call the planes Emma.

The Emma carries 120 litres of fuel.

plane Emma uses up 25% of its fuel getting from the runway to its cruising altitude.
When landing, Emma uses up 8.5 litres of fuel.
For every 50kg of cargo (including passengers), Emma uses up another 1 litre/km.

Emma goes on a test flight carrying the pilot (88kg), Max (78kg) and Mary (69kg), and 12.5 kg of luggage, from the Institute to Freegle Airport, which is 10km away.
How much fuel is left in the tank after the return journey? (They did NOT land at Freegle Airport.)

Get the answers here.