WASHINGTON STATE MATHEMATICS COUNCIL

1997 MIDDLE SCHOOL MATH OLYMPIAD

FIFTH GRADE PROBABILITY & STATISTICS

SCHOOL ___________________________ TEAM_______

1). Find the mean, mode, median and range of this set of math test scores: Express mean to the nearest tenth.

75, 92, 88, 75, 100, 96, 88, 90, 88, 78, 86

Mean:___________ Mode: __________

Median:_________ Range: _________

2). From a standard deck of 52 cards, what is the probability of randomly drawing a diamond or a queen?

Answer:_________

3). A bag contains 5 red marbles, 3 green marbles, and 4 blue marbles. How many green marbles must be added so that the probability of drawing a green marble is 1/2?

Answer:_________

4). How many ways can a family of 5 be arranged in a straight line for a family portrait?

Answer:_________

5). The field in the picture has shaded and unshaded regions. A helicopter hovers over the field and drops a water balloon. What is the probability that the balloon will land in a shaded area? Express your answer as a fraction in simplest form.

Answer:_________