ABACUS International Math Challenge
for
3rd and 4th graders
November, 2005
A.505. On the menu of the Small Belly restaurant
there are 3 soups: meat soup, fruit soup and bean soup; 4 main courses:
meatballs with spaghetti, macaroni and cheese, vegetable stir fry, and baked
chicken; and 2 desserts: pancakes and chestnut pure. How many different
3-course meals can you create from these choices if you want a soup, a main
course and a dessert?
A.506. Mrs. Baker was baking cakes. She
decorated a quarter of them with chocolate. A third of the rest of the cakes
she decorate with walnuts. Half of the rest of the cakes she decorate with
fruit, and on the remaining 15 cakes she put whip cream. How many cakes
did Mrs. Baker make?
A.507. How many squares can you see on
the following picture?
A.508. Chef Manny had already made 25 pancakes
when the children started eating. While Manny makes 2 pancakes the children
eat 3. After they ate 27 pancakes the children stopped eating and Manny
stopped making more pancakes at that point, also. How many pancakes were
left over?
A.509. In the storage room of the Small
Belly restaurant there are seven 3-liter sour cream jars. If the head chef
poured all the sour cream from any 2 jars into any third jar then that third
jar would get full. A total of how many deciliters of sour cream are there
in those four jars that the head chef did not pour together?
A.510. The 5 chefs wanted to share a big
rectangular chocolate. However, it fell on the ground and when they opened
it they saw that it broke into 7 pieces. Molly ate the biggest piece. Fatty
and Sweety ate the same amount of chocolate but Fatty ate three pieces while
Sweety ate only one piece. Belly ate a seventh of the whole chocolate, and
Spherie ate the rest. Which chef ate which piece or pieces of the chocolate?
A.511. The chefs are making cakes and they
are cutting them into 4 cm x 4 cm pieces. They are leaving 1 cm spaces between
them so the pieces would not stick to each other. On the smaller, square
shaped plates 9 of these pieces fit so that there is no more space around
the edges. How many of these pieces fit on the bigger plate which has 6
times as long sides as the smaller plate?
A.512. The 5 eat-all-we-can chefs use 3
major units of weight: chubby, heavy, and biggie. They use the following
rules of conversions: 5 heavies = 2 dekachubbies, and 7 chubbies = 11 decibiggies.
(As we all know: 1 dekachubby = 10 chubbies, and 1 biggie = 10 decibiggies)
Put the 5 chefs in an order of their weights if Fatty is 2 kilochubbies,
Sweety is 36 dekaheavies, Belly is 22 biggies, Spherie is 16 hectochubbies,
Molly is 215 decibiggies.
Please, send your solutions to: