Lower Elementary:
Question: Hilda baked 2 dozen cookies. She gave half of them to her teacher as a gift. She ate 4 of them when she came home. How many cookies does Hilda have left?
Answer: 8 cookies
Solution: A dozen is 12. So 2 dozen is 24. She gave half of them to her teacher. Half of 24 is 12. She ate 4 cookies. 12 – 4 = 8. There are 8 cookies left.
Upper Elementary:
Question: Eight bags weigh a total of 100 pounds. 5 bags weight 55 pounds altogether. The other 3 bags each weigh the same amount. How much do each of the remaining 3 bags weigh?
Answer: 15 pounds
Solution: First, find the weight of the remaining 3 bags by subtracting the weight of the 5 bags from the total weight. 100 – 55 = 45. Since each of the bags weigh the same, divide 45 by 3. 45 ÷ 3 = 15 pounds. Each of the 3 bags weigh 15 pounds.
Middle School:
Question: A helicopter can hold 1,000 pounds. The equipment for the helicopter weighs 296 pounds. If the average person weighs 80 kilograms, how many people can the helicopter hold? (Hint: 1 kilogram = 2.2 pounds)
Answer: 4 people
Solution: First, find the total weight of people that the helicopter can hold by taking the total weight it can hold and subtracting the weight of the equipment. 1,000 – 296 = 704 pounds. Next, we divide the weight the helicopter can hold by the average weight of a person. We have to convert one of them so that they have the same name. Since 1 kilogram equals 2.2 pounds, we can take the weight in pounds and divide by 2.2 to get the weight in kilograms. 704 pounds ÷ 2.2 pounds = 320 kilograms. 320 ÷ 80 = 4. The helicopter can hold 4 people.
Algebra and Up:
Question: A circle is inscribed in a square. The circle has a diameter of 10 inches. What is the area of the regions in between the square and the circle?
Answer: 100 – 25π inches2
Solution: To find the area of the regions, subtract the area of the circle from the area of the square. The diameter of the circle is the same length as the width of the square.
Area of a square = side length squared = 102 = 100 inches2
Area of the circle = π r squared = π(5)2 = 25π inches2
The area of the regions is 100 – 25π inches2.
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