Free Printable Mathcounts practice

Worksheets

Mathcounts practice

Total questions: 10

Worksheet time: 24mins

Name

Class

Date

The mean of the squares of three non-zero numbers a, b, and c is three times the square of their mean. If b=2a, what is the value of $\frac{c}{a}$ ?

Express your answer as a common fraction

(a)

A bag contains five red marbles, three blue marbles, and two green marbles. If six marbles are drawn without replacement from the bag, what is the probability that two marbles of each color are drawn.

Express your answer as a common fraction.

(a)

What is the average of the integers from 13-31, inclusive?

For what value of m does 3/m = 27/32?

The length of 5 small paper clips is equal to the length of 2 large paper clips. The length of 8 small paper clips is equal to the length of how many large paper clips? Express your answer as a mixed number

4 1/2

2 1/8

16/5

3 1/5

When the integer n is squared, the result is less than 150. What is the sum of all possible values of n?

100

150

300

Mollie has fewer than 100 pennies. If she puts the pennies in stacks of five, there are three pennies left over. If she puts them in stacks of seven, there is one penny left over. If she puts them in stacks of three, there are no pennies left over. What is the total number of pennies Mollie has?

Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process several times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

11/33

1/3

1/4

18/26

P(not A) =
*Remember to simplify.*

6/8

3/4

2/8

1/4

10.

How many prime integers are between 30 and 40?

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Mathcounts practice

Total questions: 10

Worksheet time: 24mins

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