Math Team Jeopardy

Algebra

100

What is the value of 69 x 71?

4899

200

Given that xy = 3 and x - y = 6, find x + y.

±4√3

300

Find the mean of all solutions for x when x^3 + 3x^2 - 10x = 0.

-1.5

400

Ralph went into a store and bought a 10 dollar item at a 10 percent discount, a 15 dollar item at a 15 percent discount, and a 25 dollar item at a 25 percent discount. Find the percent discount Ralph received on his trip to the store.

19%

Trigonometry

100

Compute sin(510°).

1/2

200

In triangle right triangle ABC with right angle at B, angle BAC = 60^° and the hypotenuse is 7. Find the length of CB (express your answer as an exact number - no decimals).

3.5√3

300

Find the value of 0.5sin(15^°)cos(15^°).

0.5

400

Find the value of sin²(0.1x⁹⁷)+cos²(0.1x⁹⁷).

1 (haha it's just Pythagorean identity)

Number Theory

100

Compute the remainder as 85x46 is divided by 7.

What is 4?

200

Find the least 7-digit number divisible by 11.

1000010

300

Find the sum of all the factors of 80.

186

400

Find the least ten-digit positive integer such that the product of its digits is 1.

1145578899