Math Club Review Fall 2022

Base Counting

100

12₁₀ to ?₃

110₃

200

36₇ to ?₁₀

27₁₀

300

124₁₀ to ?₅

444₅

400

142₁₀ to ?₁₁

11A₁₁

500

76₈ to ?₂

111110₂

Ciphers

100

Number Cipher: Decode
3 8 18 9 19 20 13 1 19

Christmas

200

A-H: Decode
WYLZLUAZ

Presents

300

A-S: Decode
EAKLDWLGW

Mistletoe

400

A-E: Decode
GERHC GERIW

Candy Canes

500

Base 5 to Alphabet: Decode
34 1 24 40 1

Santa

Math Puzzles

100

It takes Tracy 4 minutes to wrap a gift. It takes Preston 12 minutes to wrap a gift. If they worked together, how long would it take for them to wrap one gift?

3 minutes

200

It takes Mary 30 minutes to set up and decorate a Christmas tree. It takes Andrew 1 hour to set up and decorate a Christmas tree. If they worked together, how long would it take for them to decorate a Christmas tree?

20 minutes

300

Will takes 6 hours to decorate a house for Christmas. Madison takes 4 hours, and Julie takes 12 hours. If they all worked together, how long would it take to decorate a house?

2 hours

400

Jerry can deliver 50 packages in 2 hours. When working with Fred, it takes 80 minutes to deliver 50 packages. How long does Fred take to deliver 50 packages on his own?

4 hours

500

Marvin takes 2 hours to bake 300 cookies. Paul takes 6 hours, and Sarah takes 3 hours. If they worked together, how long would it take them to bake 1200 cookies?

4 hours

Order of Operations

100

(1+3)*5-(3+2)

15

200

(2²+6)*(8-3*5)

-70

300

(3²+1³-2*5)/15

0

400

(6/2+4-5²)/(4*5-33/3)+16

14

500

x(x²+y)+y²-x(y-x)

x³+x²+y²

Systems of Equations

100

5x+4y=13
y=2x

(1,2)

200

2y+5x=18
x=y-2

(2,4)

300

6y+x=-7
7y-3x=21

(-7,0)

400

4x-2y=10
3x+4y=13

(3,1)

500

6y-5x=-17

2x+4y=10

(4,0.5)