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MORE OLD FIFTH GRADE QUESTIONS
The answer to the questions for the fifth grade problems are right after the questions so scroll carefully.
One of my students came up to me last week and had a broken calculator. She wanted to divide 9288 by 54. The piece that was broken was the '5' key. How can she complete the problem with out using the '5' key?
One possible answer...divide 9288 by 27, which is half of 54, then divide that quotient by 2.
A perfect number is a number that equals the sum of all its factors. not including the number itself. For example, 10 is NOT a perfect number because its factors are 1,2,5 and 10, and 1 + 2 + 5 = 8, not 10. Find a perfect number between 2 and 20 and explain your answer.
The answer: 6 is the only one... it's factors are 1,2,3,6. So if you add 1 + 2 + 3 you get 6.
Joel and Jacob are brothers. This year both of their ages are prime numbers. Last year both their ages were composite numbers. Both of their ages will be composite numbers again over the next three years. If Joel and Jacob are both teenagers, how old are they now?
Answer: One brother is 13 and the other is 19. The only prime numbers between 10 and 20 are 11, 13, 17, and 19. Since the statement is made that over the next three years their ages will be composite numbers... then it must be 13 and 19 because 11 would go prime in two years and so will 17.
#10 Fill in the missing digits...
Answer:
#11
Kizzy and her Sandwich Fixin' 
Kizzy loves wierd sandwiches. She will try any pair of ingredients, even thought her friends think she is crazy! One day Kizzy gathered these sandwich fixings: avocado, chicken, tofu, green pepper, and peanut butter. How many different sandwiches can Kizzy create with parirs of ingredients? (Which would you eat?!?!?)
Answer: There are ten possible combinations... they will vary.
Answer:
#13 A multiplication/calculator problem
Use the digits 3, 4, 5, 6, and 7 once each to form the two factors that give the greatest possible product. You may work with a calculator.
Answer: 653 x 74 = 48,322
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