G6 Math Olympiad Part J

Which of the following values is largest?

Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?

• 4

• 8

• 16

When 0.000315 is multiplied by 7,928,546 the product is closest to which of the following?

• 210

• 240

• 2100

• 2400

• 24000

If the degree measures of the angles of a triangle are in the ratio 3 : 3 : 4 , what is the degree measure of the largest angle of the triangle?

Let Z be a 6-digit positive integer, such as 247247, whose first three digits are the same as its last three digits taken in the same order. Which of the following numbers must also be a factor of Z?

• 11

• 19

• 101

• 111

• 1111

Malcolm wants to visit Isabella after school today and knows the street where she lives but doesn't know her house number. She tells him, "My house number has two digits, and exactly three of the following four statements about it are true."

(1) It is prime.

(2) It is even.

(3) It is divisible by 7.

(4) One of its digits is 9.

This information allows Malcolm to determine Isabella's house number. What is its units digit?

All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles that Macy could have?

• 1

• 2

• 3

• 4

• 5

A box contains five cards, numbered 1, 2, 3, 4, and 5. Three cards are selected randomly without replacement from the box. What is the probability that 4 is the largest value selected?