Mock AMC Jeopardy

Algebra

100

A water tank is 30% empty. Then 50 liters of water are

removed. The tank is now 30% full. How many liters does the full tank hold?

125

200

See #8

7

300

#18

170

400

#20

4

Geometry

100

See other tab

70

200

See #11

20

300

See #15

2 + 2/sqrt3

400

#19

pi/sqrt2

500

21

4+sqrt2

Number Theory

100

There are N numbers in a list. If one of the numbers is changed to 43, the average becomes 64. If the same number is changed to 59, the average becomes 66. What is the average of the other N − 1 numbers?

67

200

See #9

4

300

See #13

88

Combinatorics

100

Emily has twelve beads—three red, three blue, three yellow, and three green. She wants to arrange them on a circular ring. Unfortunately, her younger brother Billy has taken some of the beads. Emily will use all the remaining beads to complete the ring. What is the fewest number of beads Billy could have taken to make it impossible for Emily to create a ring where no two adjacent beads are of the same color?

7

200

See #14

17

300

22

3

400

#24

32/81

500

#25

330

Miscellaneous

100

See #6

5

200

See #10

12

300

See #16

9

400

See #17

15