4th thru 7th Grade

There are two different ways of making one
dollar using 11 coins, which must be quarters,
dimes and nickels, with at least one of each.

What are these two ways?

7th Grade

The sum of 5 numbers is odd. Which of the followings statements must be true?
a) There are an odd number of even numbers.
b) There is an even number of odd numbers.
c) There are an odd number of odd numbers.
d) There are no even numbers.

7th Grade

A digital clock shows either 3 digits of 4 digits at a time.

What time it when the digits have their greatest sum?

5th - 8th grade

Bill has 7 students in his basketball team. Only 5 can play at once. How many different groups of 5 students can have on the court at a time?

Hint: it's easier to think of the reverse of this questions - how many different groups of 2 students can sit on the bench.

3rd grade

3 gum balls cost a 25 cents. How much does it cost to buy 12 gum balls?

7th - 10th grade

An iphone screen is 3.5" measured diagonally at a ratio of 3:2. Jennie's TV is 31.5" measured diagonally and at a ratio of 16:9. How many iphone screens would it take to make a picture the size of Jennie's TV?

4th - 6th grade

Saibu plays video games for 90 minutes every day. After one year, how many days(use fractions if necessary) has he spent playing video games?

5th - 7th grade

Road Trip Math:

Peter is going on a road trip with two friends. The total length of the trip is 368 miles each way. Gas costs $2.49 per gallon, and Peter's car gets 31 mpg. How much should each friend give Peter for gas money?

4th - 12th grade

Count the rectangles.

5th - 7th grade

Mathnasium has a "perfect page day" whenever a student correctly guesses the roll of a 6 sided die. There is one chance per day. If Mathnasium is open 5 days per week, on average how many perfect page days will there be per year?

5th - 7th grade

Nate and Peter had a counting contest. Whoever could count past 100 first won. They each counted a number every 2 seconds. Nate counted by 5s, Peter counted by prime numbers. Who won, and by how many seconds did he win?

3rd Grade thru 5th Grade

Using only pennies, dimes, and nickels, name 21 coins that have a total value of exactly $1. You must use at least one coin of each type.

6th - 7th Grade

In this problem, A, B, and C represent different digits and A is not zero. What are the values of A, B, and C ?

Algebra 1

Hank and Joe each want to buy a tennis ball. Hank still needs $0.28 to buy the ball and Joe still needs $1.12 to buy the ball. If they combine their money, they still do not have enough to buy the ball. What is the most the ball could cost?

4th thru 7th Grade

Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use island fruit as money. If
· 60 bananas = 20 coconuts
· 35 figs = 15 oranges
· 10 coconuts = 25 figs
· 200 figs = 1 boat
How many bananas would you need to purchase a boat to get off the island?

4th - 6th grade

Find two different ways to make $1.00 using exactly 8 coins.

4th - 8th grade

7 █ =2 █ + 7Δ

Find values for █ and Δ

4th - 8th grade

█ + █ + █ + █ + Δ = Δ + Δ + Δ + Δ

Find values for █ and Δ

4th - 8th grade

█ + █ + █ + Δ = Δ + Δ + Δ

Find values for █ and Δ

8th - 10th grade

Write five two-step algebra problems where the variable equals 7.

Example:
3x-4=17

4th - 6th grade

Write 10 division facts that equal 7

4th - 7th grade

Pick any number
Double it
Add 16
Cut it in half
Subtract your original number.


Did you get 8?

6th - 10th grade

Vani Dug a hole 3 feet deep, 2 feet wide, and 4 feet long. How much dirt is in her hole?

3rd - 7th grade

Which weighs more, a pound of pencils or a pound of erasers?

3rd - 5th grade

Nate dropped a ball straight down from 64 feet up. Each time it bounced it came up half as high as the previous time. When the ball bounced for the 4th time, how far had it traveled total?

Hint: Remember the ball has to go both up and down.

4th - 6th grade

Jennie started eating Peeps before Easter. She ate one peep on April 1st, then twice as many peeps as the day before every day until Easter (April 12). How many Peeps did she eat total?

8th - 9th grade

John has $5 more than Bill.
Greg has twice as much as John.
Together they have $87.

How much money does each person have?

9th-11th grade

Examples:
..\15/
.7\ / 8
.../ \
./56\

....\14/
.12\ / 2
...../ \
.../24\

Questions

.......\3x-9/
.x+2\..... /?
......../..... \
....../....?... \

..\2√(a+b)/
..?.\....... /.?
......./...\.
...../a+b\

7th - 9th grade

Examples:
..\15/
.7\ / 8
.../ \
./56\

....\14/
.12\ / 2
...../ \
.../24\

Questions

..\ 0 /
....\ /
.../.. \
./-64 \

..\..7../
.?\ .../ ?
.../....\
./-144\

5th - 7th grade

Examples:
..\15/
.7\ / 8
.../ \
./56\

....\14/
.12\ / 2
...../ \
.../24\

Questions

..\ ? /
.3\ / 19
.../ \
./ ? \

..\19/
.?\ / ?
.../ \
./48\

4th - 10th grade

Christina has two jars of marbles. The red jar has 100 red marbles. The blue jar has 100 blue marbles. Christina takes 20 marbles from the red jar and stirs them into the blue jar. Then she takes 20 marbles from the blue jar and stirs them into the red jar. Which jar has the most marbles of the opposite color?

4th - 6th grade

If Peter Starts his taxes at 8:15 pm on April 15th, and taxes are due at midnight, how many seconds does peter have to do his taxes?

5th - 9th grade

n*n = 4

What are the two solutions for n?

5th - 9th grade

n*n = n+n

What two numbers could n be?

5th grade

Continue the pattern:

75, 81, 27, 33, 11, ...

8th grade

___ ÷ 7/4 + 3/5 = -3 1/3

4th grade

___ ÷ 7 = 5r2

___ ÷ 7 = 234 2/7

4th - 7th grade

Peter's seeds say to start planting indoors 6-8 weeks before average last frost date. Peter went online and found that the average last frost date is April 29. When should he plant his seeds indoors?

5th - 8th grade

Christina scored an average of 76 on her first 4 tests. She wants to get an A- Average on her tests. What grade must she core on the 5th test to increase her average to 90 so that she can earn an A-?

3rd - 5th grade

Which number less than 20 can be cut in half the most times without using fractions?

2nd - 5th grade

Find a number that can be cut in half 8 times without using fractions.

4th - 7th grade

Find 3 fractions with different denominators that have a sum of 2.

5th - 9th grade

How many 3-digit numbers are palindromes - the same when read forward or backwards like 828?

3rd - 8th grade

Find the sum of all the numbers between 0 and 100 that are spelled with the letter "v".

8th - 11th grade

If you continue the pattern

1/8, 1/4, 1/2, 1/1, 1/0.5, 1/0.25, ...

forever, what is the value of the final term?

1st - 4th Grade

How can 2 candy bars be shared evenly with 3 people? (Draw a picture)

5th grade

How many 2 shot combinations are possible in bowling?


Assume 3 pins knocked down is the same no matter which 3 pins are knocked down.

7th grade

Bill went bowling last night. On his first shot he knocked down 8 out of the 10 pins. How many different ways can 8 out of 10 pins be knocked down?


Hint: How many different ways can 2 pins be left standing?

5th grade

On average, how long does each president stay in office?

- George Washington became president in 1789
- George W. Bush was the 43rd president

9th-12th grade

What whole number is closest to 1/∞ ?

Why?

7th - 11th grade

In Deal or no Deal 1 case is worth $1 Million. The other cases are not. The player selects a case, then begins to open the other cases. After 18 cases have been opened and found to not have the $1 Million, there are two cases left. The player then has a chance to switch cases. Should the player switch cases?


Hint: What is the probability the $1 million is in the original case, and what is the probability that it is in the other case? They're not the same!

Place Value 4th-12th grade

4th grade:

Which digit is in the 10s place of 68x68?

6th grade:

Which digit is in the thousandths place of 1/7?

7th grade:

Which digit is in the thousandths place of 1/2% of 325% of 11/8?

9th - 12th grade:

Which digit is in the ones place of 4^307?

3rd - 4th grade

The low temperature tomorrow could be as low as 22 degrees below zero. If it is 72 degrees inside, how much colder is it outside than inside?

5th - 7th grade

The average low temperature for three days was 12 degrees. The next two days the low temperature was -20 degrees, and -16 degrees. After the 6th day the average low temperature was -22 degrees. What was the low temperature on the 6th day?

11th grade

6 students are waiting in line for lunch. How many different ways can those 6 students order themselves in line?

4th grade- 5th grade

How many groups of 6 cats are needed to have 80 cats?

Bonus, what is a group of cats called?

5th - 7th grade

Peter's House is 20' Tall. If it snows 4" in 6 hour, how long will it take for Peter's house to be buried in snow?

5th grade

If you were born on January 5th, 87 BC, how old would you be today?


Hint: There was no year 0.

5th grade, 7th grade, or 10th grade

Nate cut a circle with an area of 113 square cm out of a square piece of paper. What are the dimensions of the smallest piece of paper he could have used?

3rd grade and up

Write 20 math problems that equal 20

7th - 11th grade

Ten 8th graders build a boat in 6 days. How long will it take five 8th graders working at the same rate to build a boat?


Hint: Proportions won't help.