Grab Bag
Math Puzzles
Properties of Logs
Exponential Growth
Exponential Decay
100

What is the similarity between 2+2=5 and your left hand?

Neither are right

100

Multiply the number of thumbs that everyone in the world has. What is the result?

0, because at least one person in the world doesn’t have thumbs.

100

Simplify: log79 + log7 4

log7 9*4 = log7 36

100

Vanessa invested $2,500 into an account that will increase in value by 3.5% each year. Write an

exponential function to model this situation, then find the value of the investment after 20 years.

$4974.47

100

The population of a small town was 10,800 in 2002. Since then, the population has decreased

at a rate of 2.5% each year. Write an exponential function to model the situation, then find the

population of the town in 2020.

6847 people

200

What number do you get if you multiply all the numbers on a smartphone keypad?

0

200

If you have 30 red socks, 20 white socks, and 10 blue socks, how many will you pick to get at least 1 matching pair without looking?

4

200

Simplify: log5 2 + log5 13

log5 2*13 = log5 26

200

The average price of a movie ticket in 1990 was $4.22. Since then, the price has increased by

approximately 3.1% each year. Write an exponential function to model this situation, then find

the price of a ticket in 2016.

$9.33

200

Manny bought a brand new car in 2012 for $28,750. If the car depreciates by 12% each year,

write an exponential function to model the situation, then find the value of the car in 2018.

$13351.62

300

What loses its head in the morning and gets it back at night?

A pillow

300

On a farm, there are ducks and cows. There are 18 legs and 7 heads in total. How many ducks are there?

5 ducks and 2 cows.

300

Simplify: log2 80 - log2 5

log2 (80/5) = log2 16

300

A virus has infected 400 people in the town and is spreading to 25% more people each day.

Write an exponential function to model this situation, then find the number of people that will be

infected in 10 days.

3725 People

300

An investment of $12,000 is losing value at a rate of 4% each year. Write an

exponential function to model the situation, then find the value of the

investment after 9 years.

$8310.41

400

What has a head and a tail, but no body?

A coin

400

Two people have $100 in total. One has $40 more than the other. How much does each have?

$30 and $70

400

Simplify: log2 30 - log2 3

log2 (30/3) = log2 10

400

The original value of an investment is $1,800. If the value has increased by

7% each year, write an exponential function to model the situation. Then,

find the value of the investment after 15 years.

$4966.26

400

Mark bought a brand new car for $35,000 in 2008. If the car depreciates in

value approximately 8% each year, write an exponential function to model the

situation. Then, find the value of the car in 2015.

$19,524.63

500

What is seen in the middle of March and April, but not at the beginning or end of either month?

The letter R.

500

How many sides does a circle have?

Two — the inside and the outside.

500

Simplify: log6 83

3 log6 8

500

In 2002, there were 972 students enrolled at Oakview High School. Since

then, the number of students has increased by 1.5% each year. Write an

exponential function to model the situation, then find the number of students

enrolled in 2014.

1162 Students

500

Define each letter in the exponential decay equation.

a: initial amount

r: decay rate

t: time

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