Mathematical Wrinkles for Teachers And Private Learners

Cover Mathematical Wrinkles for Teachers And Private Learners
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How many trees planted 33 feet apart will be required to cover 10 acres in the shape of a rectangle 20 rods wide, if no allowance is made for space beyond the outside rows ?
State Examination. — Michigan 1. (a) 9 is a factor of a number if it is a factor of the sum of its digits, and not otherwise. Prove.
(6) At what time between 2 and 3 o'clock are the minute and hour hands at right angles to each other ?
2. In a circle 1 mile in diameter three circles are inscribed, tangent to one another and
... touching the larger circumference. What is the area of the space inclosed by the three circles ?
3. Which would be the better investment and how much better for a capital of $5000: Baltimore & Ohio Eailroad stock quoted at 127|, brokerage ^ %, paying semiannual divi- dends of 3^ % and the balance in a savings bank paying 3 %, or the whole in a 6 % mortgage ?
EXAMINATION QUESTIONS 117 4. Write a concrete problem involving cube root and solve in full as you would require your pupils to solve.
5.


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