Math Olympiad

Make a Table

100

The fifth graders were going on the waterslides at Slippenslide Water Park. Every half hour a new group is allowed on the slides. There are 24 kids in the first group, and they are given red mats. There are 20 in the second group, and they are given brown mats. The then third groups of 22 has green mats. The fourth group of 18 has orange mats. 20 are in the fifth group with blue mats. If this pattern continues, at the end of four hours, how many fifth graders will have gone down the waterslides?

152

200

The newspapers are filled with stories about the new system of planets that has been discovered. Plans are already underway for the first Interplanetary Olympics(IO). Among the participants there will be representatives from the three smallest planets in the system. For every 8 athletes from the planet Trono, there will be 12 athletes from the planet Vermo, and 9 from the planet Cannelo. How many representatives will there be altogether from these 3 planets at the IO if 72 athletes are expected from Cannelo?

232

300

I know that there are 18 animals in the barnyard. Some are chicken and the rest are cows. I counted 50 legs in all. How many of the animals are chickens and how many are cows?

7 cows 11 chickens

Make An Organized List

100

Lenny presses his face up against the glass tank at the tropical fish store. There are three types of fish for sale: a pink Gourami for $1.20 an invisible Glass fish for $1.80 and a Neon Tetra for $.60 Lenny steps back and counts his money. He has $6.00. How many different combinations of tropical fish can he buy with his $6.00?

14

200

There is an eerie glow in the clearing, as the small, strange airships land. Soon tiny creatures are climbing out of the airships. There are two kinds of creatures: purples creatures with 2 antennas on top of thier heads blue creatures with pink feet and one large antenna coming from the front of each head. Altogether there are 23 creatures with 35 antennas. How many purple creatures and how many blue creatures climbed out of the airship?

12 purples 11 blue

300

How many different three-letter code words can you make using the letters P, Q, R if repetition of the letters is permitted?

27

Look for a Pattern

100

Each winter elephant seals return to Ano Nuevo State Park on the California coast. On the first day of their return, rangers count 5 elephant seals lying on the beach. On the second day, 6 more seals arrive. Ont he third day, 7 more seals arrive. Each day the number of seals that arrive increases by one more than the number of seals that arrive the day before. At this rate, how many seals will be on the beach at the end of the eighth day?

68

200

Delilah woke up, her head full of roses. She had just had her dream again where she is lost, like Alice in Wonderland. She finds herself in a rectangular rose garden that has three rows of rose bushes and six bushes in each row. Then, just beyond a big hedge, is a second rose garden, with four rows of bushes and seven bushes in each row. After another big hedge is a third rose garden, with five rows of eight bushes. As she tries to run out of the garden she discovers that there is always another garden with one more row and one more bush in each row than the garden before. Today Delilah woke up in the ninth garden. How many rose bushes are in the ninth garden?

154

300

January 1, 1941 fell on a Wednesday. On which day of the week was January 1, 1942?

Thursday

Guess & Check

100

The final event of the first day of the Animalympics is over, and the Long Leap results are in. The Copper Medal goes to Flora the Frog, the Brass medal goes to Sara Spider, and the Tin medal goes to Gilda Grasshopper. Flora leaped 2 centimeters farther than Sara, who beat last year's distance record by 1 centimeter. Gilda came in last, finishing 1 centimeter behind Sara, tying last year's record. How far did each medal winner jump if their combined total was 544 centimeters?

Flora 183 Sara 181 Gilda 180

200

Tired of riding the surf, playing catch, and flying kites, Rory and Pablo are counting birds at the beach. There are lots of birds, especially sea gulls and sandpipers. At one time during the day Rory and Pablo count 142 sea gulls and sandpipers altogether, and 42 more sea gulls than sandpipers. How many sea gulls and how many sandpipers did they count?

92 sea gulls 50 sandpipers

300

Replace each ____ with an operation symbol to make the following a true statement. 1____2____3____4____5____6____7____8____9____ = 100

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 x 9 = 100

Work Backwards

100

Rainbow Robots, Inc. was putting on a big demonstration. First the big red robot washed one half of all the windows in the building. Next, the smaller green robot washed two thirds of the windows that were left. Then, the blue robot washed one half of the windrows that were left. Finally, the tiny yellow robot washed the last 10 windows. How many windows did the Rainbow Robots wash altogether?

120

200

Nellie's soccer team is having a great season. The team is being coached by Nellie's mother, who has divided the team into five groups. 1/2 the players are forwards 1/6 are wings, 1/6 are halfback 1/12 are fullbacks, and 2 others are goalies. How many players are on Nellie's team? How many in each group?

24 players 12 fullbacks 4 wings 4 halfbacks 2 fullbacks 2 goalies

300

Start with a number multiply it by 3 add 20 divided by 2 end with 40

20