Math Club Junior Jeopardy

Algebra

100

x-123456789=987654321

solve for x

1111111110

200

if 4k-24/6=132, what is k?

34

300

if x² = 3⁴, then what is x?

9

400

find all values of x

0=x²-3x-4

x = -1, 4

500

the sum of the two possible roots of the equation below is a.

the product of the two possible roots of the equation below is b.

x² + 5x = -1

what is a - b?

-6

Geometry

100

what is the volume of a rectangular prism with the sides 2, 3, and 5?

30

200

a circle has a radius of 1.5, what is its circumference? Round your answer to the nearest hundredth.

9.42

300

what is the sum of the interior angles of a pentagon?

540

400

what is 40 degrees in radians

2pi/9

500

In a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of its hypotenuse?

30

Probability

100

Joey flips 2 coins. What is the probability that neither one is tails?

1/4

200

3 D10s(dice containing 10 faces with 1-10 on each face) are thrown. What is the probability that each dice shows a different number?

18/25

300

If 3 fair coins are thrown, what is the chance that at least 2 of them will be the same?

100%

400

two fair dies are thrown. What is the probability that its product is bigger than its sum?

8/9

500

3 tiles with the letter X on them and 3 tiles with the letter O on them are placed in a row. The order is chosen at random. What is the probability that no two adjacent tiles have the same letter on them?

1/10

Basic Calculation(SPEED!)

100

65+73

138

200

14*5/35

2

300

111111/3

37037

400

What is 5!

120

500

what is the square root of 2019? Round your answer to the nearest integer.

45

Other

100

how many millimeters are in a decameter?

10000

200

Johnny has a ceertain amount of candies, and he gives half to Jenny, then he gives a third of what is remaining to Bob, then finally gives Joey 21 and is left with 23 candies. How much did he originally have?

264

300

if g(x)=2x², and h(x)=x², determine y=g(h(x)) when x=3

y=162

400

If there are 20 people, and each of then shakes hands with each other once, how many times will hands be shaken?

190

500

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)

1. Let R and r the rate of work of the large and the small pumps respectively
   4(2R + r) = 1 : 2 large and 1 small work for 4 hours to do 1 job
   4(R + 3r) = 1 : 1 large and 3 small work for 4 hours to do 1 job
   T(4R + 4r) = 1 : Find time T if 4 large and 4 small are to do one job.
   Solve for R and r the system of first two equations then substitute in the third and solve for T to find the time. T = 5/3 hours = 1 hour 40 minutes.