Thursday, November 29, 2012
Friday, November 16, 2012
Scones
A recipe for scones calls for 3 cups of flour and 10 tablespoons of butter and makes 12 scones. You only have 2 cups of flour, but you can still make 8 scones. How much butter should you use? (Hint: 1 tablespoon = 3 teaspoons.)
Thursday, November 15, 2012
Wednesday, November 14, 2012
Coin Stacks II
It is possible to mix coins in a stack to get a stack a whole number of millimeters high. For example, a stack of 2 nickels and 2 pennies has a height of exactly 2 × 1.95 + 2 × 1.55 = 7 mm. Can you find a stack of coins with a whole number of millimeters less than 7?
Coin Stacks
US coins have different thicknesses as specified below:
Two stacks of coins may have the same height but a different number of coins. For example, a stack of 39 pennies has a height of 39 × 1.55 = 60.45 mm, and a stack of 31 nickels also has a height of 31 × 1.95 = 60.45 mm. Find the smallest number of dimes and quarters that can likewise be made into two stacks the same height.
| Penny | 1.55 mm |
| Nickel | 1.95 mm |
| Dime | 1.35 mm |
| Quarter | 1.75 mm |
Friday, May 13, 2011
Circle and Square II
Which has the greater area: a 10-centimeter square, or a circle with a diameter of 11 centimeters? Explain your answer.
Circle and Square I
The diameter of a circle is the same length as the side of a square. How much greater is the area of the square?
A. It isn't greater; the circle and square have the same area.
B. The area of the square is 25% greater.
C. The area of the square is 27.3% greater.
D. The area of the square is 50% greater.
E. The area of the square is 54.6% greater.
Explain your answer.
A. It isn't greater; the circle and square have the same area.
B. The area of the square is 25% greater.
C. The area of the square is 27.3% greater.
D. The area of the square is 50% greater.
E. The area of the square is 54.6% greater.
Explain your answer.
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