Brian counts backwards by 3s starting with 100. What is the average of the first five numbers that Brian counts?

(a)  

As a fund raiser, a booster club sells $10 raffle tickets for a chance to win a free vacation. If the cost to print any number of raffle tickets is $25, what is the minimum number of raffle tickets that must be sold to raise $2500?

(a)  

The figure shown is made of ten unit (1x1) squares . If the figure has area m units² and perimeter n units, what is the value of m + n?

(a)  

What is the least integer for which 3x − 7 > 24?

(a)  

A grocer sells her organic eggs in full containers of 6 or 7 eggs. What is the greatest number of eggs you cannot buy from her?

(a)  

A class contains 40 students wearing gloves, scarves, hats or some combination of these. If 30 students are wearing gloves or scarves but not hats and 28 are wearing scarves or hats but not gloves, what is the absolute difference between the number of students wearing gloves and the number of students wearing hats?

(a)  

What value of n makes the equation 2⁵ × 4² = 8ⁿ true?

(a)  

A 20-sided die with sides labeled with the letters A through T is rolled. What is the probability the letter facing up is a vowel? Express your answer as a common fraction.

(a)  

What positive value r satisfies the equation

(a)  

Angela, Isabelle and Sophie each want to buy a sundae. But Angelais 4 dollars short, Isabelle is 3 dollars short, and Sophie is 1 dollar short. Combined, they have exactly enough money to buy one sundae. How many dollars does one sundae cost?

(a)  

The degree measure of the vertex angle of an isosceles triangle is twice the measure of each base angle. What is the degree measure of a base angle?

(a)  

Two standard six-sided dice are tossed. What is the probability that both the numbers shown are prime? Express your answer as a common fraction.

(a)  

Kevin has a barnyard containing only goats and chickens. The chickens each have 1 head and 2 legs. The goats each have 1 head and 4 legs. If there are 11 heads and 30 legs in the barnyard, how many chickens are in the barnyard?

(a)  

What is the sum of the greatest common factor and least common multiple of the set {1, 2, 3, 4, 5}?

(a)  

If x + 3y = 1, 2x + 5z = 11 and x + y − z = −4, what is the value of x + y + z?

(a)  

In a bag with 40 marbles, one-fourth are blue. How many blue marbles must be added to this bag so that half the marbles in the bag are blue?

(a)  

If a & b = a² + b^2, what is the units digit of (((1 & 2) & 3) & 4) & 5?

(a)  

What is the degree measure of an exterior angle of a regular nine-sided polygon?

(a)  

Andre rolls four standard six-sided dice. What is the probability that the product of the four numbers rolled is prime? Express your answer as a common fraction.

(a)