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AMO 2027 Grades 6-7 SET 7 - Self-study Question 6

AMO · AMO 2027 Grades 6-7 SET 7 - Self-study

Question 6

a) For health reasons, Amir wants to drink eight glasses of water a day. He’s already had six glasses. What fraction of eight glasses does Amir have left to drink?

b) Joe gave 1/2 of his sandwich to Peter at lunchtime, and ate 1/3 of it himself. How much of the sandwich did he have left?

c) Katie and her family ordered a pizza for dinner and ate 3/4 of it. The next day, Katie ate 1/2 of what was leftover for lunch. What fraction of the original pizza did Katie eat for lunch?

d) Molly needs 5/8 of a cup of diced onion for a recipe. After chopping all the onion she has, Molly has 3/5 of a cup of chopped onion. How much more chopped onion does she need?

e) John bought 2 pounds of butter to make cookies. If he used 1/2 of a pound for chocolate chip cookies, 1/8 of a pound for peanut butter cookies, and 2/3 of a pound for sugar cookies, what part of the original 2 pounds is left?

f) Virgil ate 3/7 of a chocolate chip cookie; Aristotle ate 1/3 of the same cookie. How much of the cookie is left?