# What is the Answers to these questions?

3. Given an equilateral triangle with sides, a square with side s and a circle with diameter a, which figure has the greatest area?

5. I have twelve envelopes, which are numbered 1 through 12 and twelve cards which are numbered 110 through 121. How can I place one card inside each envelope so that the number on each envelope is a divisor of the number on the card inside it?

6. You have twelve coins, one of which is counterfeit and weighs less than the legal coins. How can you use a simple balance three times the two possible results.

7. Arrange the digits 1,1,2,2,3 and 3 so that the 1’s are separated by one digit, the 2’s are separated by three digits. Find the sum of the two possible results.

8. Raymond built a fence around his rectangular garden using bricks 30 cm long and 15 cm high. If the garden is 12m long and 9 m wide, and the fence is 3.9 m high, how many bricks did Raymond use?
1. A merchant paid P300 for an article. He wishes to place a price tag on it so that he can offer a 10% discount on the price marked on the tag and still make a profit of 20% on the cost. What price should he m ark on the tag?
2. When six gallons of gasoline are put into a car’s tank the indicator goes from ¼ of a tank to 5/8. What is the total capacity of the gasoline tank?
3. If a gross is a dozen dozen and a great gross is a dozen gross, how many are in a great gross.
4. Which of the following sets of whole numbers has the largest average?
a. Multiplies of 2 between 1 and 101
b. Multiplies of 3 between 1 and 101
c. Multiplies of 4 between 1 and 101
d. Multiplies of 4 between 1 and 101
e. Multiplies of 6 between 1 and 101
5. A train traveling at constant speed takes 20 seconds from the time it first enters a tunnel that is 300 meters long until it completely emerges from the tunnel. One of the stationary ceiling lights in the tunnel is directly above the train for 10 seconds. Find

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