AAJ Math Geniuses Competition - Round 1

Divide and Conquer!"Numerations & Operations"

100

5⁰+0⁵= ?

1

200

What is the prime factorization of 36?

2² x 3²  (or 2 x 2 x 3 x 3)

300

If you divide 100 by half and then add 50, what is your final answer?

250

400

What is the sum of the first 10 positive integers?

55

500

The sum of 3 consecutive odd integers is 603 what is the biggest number out of the 3?

203

X Marks the Spot!"Algebra"

100

Solve for X: 2X + 5 = 17

6

200

What is the y-intercept of the line given by the equation: 

3X - 4Y = 12 ?

-3

300

If f(x) = 2x - 3 and g(x) = x², what is the value of f(g(3))? 

15

400

What are the two roots of the quadratic equation:

X² - 7X + 5 = -5 ?

2 and 5

500

What is the sum of the solutions to the absolute value equation |2X - 4| = 10 ?

4

Game of Cones!"Geometry"

100

What is the area of a right triangle with legs of length 6 cm and 8 cm ?

24 cm²

200

If line A has a slope of -0.5 on a coordinate plane, and line B is perpendicular to line A, what is the slope of line B?

2

300

What is the diameter of the circle given by the following equation?

X² + (Y-2)² = 81

18

400

How many degrees are in the sum of the interior angles of a regular octagon?

1080

500

What is the volume of a cube that has a total surface area of 54 square units?

27 cubic units

Angle Management!"Trigonometry"

100

In a right triangle, which trigonometric function is defined as the adjacent side divided by the hypotenuse?

Cosine

200

If two angles are supplementary and one measures 70 degrees, what is the measure of the other?

110

300

Evaluate: 

Sin(30^o) + Cos(60^o)

1

400

In a triangle, if two interior angles measure 40 degrees and 80 degrees, what is the measure of the exterior angle adjacent to the third unknown angle?

120

500

What is the range of 6Sin(7X) ?

[-6, 6]