Lincoln Math Club Jeopardy

Number Theory

100

2021x101

204121

200

Value of 1+3+5+7....+99

2500

300

Find the sum of 20% of 16 and 16% of 20 as a fraction.

32/5

400

4^(x+y) = 1024 and 5^y = 125, find x.

2

500

Eight-digit number A234543B is divisible by 99. Compute 10A + B.

78

Geometry

100

If area of a square is 2, what is the length of its diagonal.

2

200

A circular farm has a radius of 5 meters. The owner decides to build a brick wall of width 1 meter thick around the farm to ensure the animals are safe. If area of farm can be written as pi*a, what is a?

11

300

What is the equation of a line in slope intercept form that is perpendicular to the line joining (1,1) and (5,5) and passes through its midpoint?

y=-x+6

400

If x+2, x and x+4 are sides of a right triangle, what is the area of the triangle.

24

500

A circle of radius 2 is cut into four congruent arcs. The four arcs are joined to form the star figure shown. What is the ratio of the area of the star figure to the area of the original circle?

(4-pi)/pi

Counting/Probability

100

What is the probability of picking a prime number among a set of positive integers from 1 to 10 as a fraction?

2/5

200

There are 10 students in a class. They take Spanish or French or both languages. There are 8 students that take Spanish and 5 that take French and none that take no language. What is the probability that a student picked in the class will be taking both Spanish and French?

3/10

300

What is the number of ways in which the word LINCOLN can be arranged?

1260

400

Two dice are rolled. What is the probability that their product is a composite number?

5/6

500

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?

3/10

Algebra

100

(x+6)-(5x-32) = -6. Find x

11

200

Find the roots of the  quadratic equation x²+4x-2021=0                                                                                                                                                  

47,-43

300

3x²+15x+14 =0. What is the sum of roots for an equation whose roots are reciprocal of the roots of the above equation.

-15/14

400

Square root of 124+(70*sqrt(3)) is of form a+sqrt(b). What is a+b?

82

500

Sum of 1/n(n+1) values for n going from 1 to 100

100/101

Number Sense

100

Square root of 1089

33

200

Convert 110001010₂ to base 8

612

300

62x222

13764

400

63x13x11

9009

500

0.0363636...repeat 36 forever. What is the fraction equivalent in simplified form

2/55