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Last month's solutions
MIND-Xpanders
- What is the number of degrees that the hour hand of a clock moves through between noon and 4:30 in the afternoon of the same day?
Solution: 360º / 12 numbers = 30º and 30º x 4.5 numbers = 135º - Raeanne takes 20 minutes to jog around the race track course once, and 25 minutes to jog around a second time. What is her average speed in miles per hour for the whole jog if the course is 3 miles long?
Solution:
Average speed = total distance / total time
Total distance covered = 2 x 3 = 6 miles
Total time = 20 + 25 = 45 minutes or 0.75 hours
Average speed = 6 / 0.75 = 8 miles/hour - Two equal circles are cut out of a rectangular paper card of dimensions 8 cm by 16 cm. The circles have a maximum radius possible. What is the area of the paper remaining (shadded area) after the circles have been cut out as shown? (note: use π = 3.14)
Solution:
The area remaining (or in gray) is the area of the rectangle minus 2 times the area of a circle
= (16 x 8) – 2 x (πr²), where r = 16/4 = 4,
then (128) – (2 x 3.14 x 16)
= 128 – 100.48
= 27.52 cm.
Excellent Mr. Burgin!! Can’t wait to get started on the November Challenge!!!!