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Exponents
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These problems develop an understanding of the notation used to represent very large and very small numbers.
- Related Resources
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Interactive resources from our Math Tools project:
Math 7: Number Sense
The closest match in our Ask Dr. Math archives:
Middle School: Exponents
NCTM Standards:
Number and Operations Standard for Grades 6-8
Access to these problems requires a Membership.
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Accuracy Please
- Judy Ann Brown
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Pre-algebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone.
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Anh's Code
- Annie Fetter
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Pre-algebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression.
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Choosing Cs
- Lisa Lavelle, Suzanne Alejandre
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Pre-algebra, difficulty level 3. Given the expression c^2 - 2, what is the probability that the result
is composite for integers -10 through -2?
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The Complex Apartment Complex
- Judy Ann Brown
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Pre-algebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above.
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Divisible by a Dozen
- Terry Trotter & Annie Fetter
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Pre-Algebra, difficulty level 3. If you take any three consecutive integers, multiply the first times the square of the second, then multiply by the third, is 12 a factor of the product?
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Falling Leaves
- Suzanne Alejandre
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Pre-algebra, difficulty level 2. Find the number of leaves that were falling.
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Fences for Fido and Friends
- Annie Fetter
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Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen.
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Flipping Over Pennies
- Judy Ann Brown
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Pre-algebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins?
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Lucky Lollipops
- Suzanne Alejandre & Maria Fung and her students
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Pre-algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
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Open and Shut Case
- Judy Ann Brown
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Pre-algebra, difficulty level 2. Find the locker combination using mathematical clues.
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Palindrome Day
- Judy Ann Brown
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Pre-algebra, difficulty level 2. How many Palindrome Days are there in a year?
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Partial Area
- Judy Ann Brown
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Pre-algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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Pi Day - Let's Eat Cake!
- Judy Ann Brown
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Pre-algebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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Pi Day Treats
- Judy Ann Brown
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Pre-algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Prime Probability
- Lisa Lavelle
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Pre-algebra, difficulty level 3. Given the expression n^2 - 5, what is the probability that the result is prime for integers between 2 and 12?
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Santa's Little Helpers
- Judy Ann Brown
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Pre-algebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves.
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The Scientific Notation Game
- Suzanne Alejandre
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Pre-algebra, difficulty level 3. Help Jay think about how points are calculated in the Scientific Notation Game.
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Scientific Sums
- Judy Ann Brown
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Pre-algebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation.
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Square Dancing
- Judy Ann Brown
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Pre-algebra, difficulty level 2. The sum of each couple's numbers is a perfect square. Use other information in the problem to find the number of Ashley's partner.
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A Stellar Garden
- Bill Marthinsen
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Pre-algebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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Timber!
- Steve Risberg
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Pre-algebra, difficulty level 3. A tree breaks three-eighths of the way up the trunk, and the tip hits the ground 40 feet from the base of the trunk. How tall was the tree?
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The Tower of Hanoi Puzzle
- Roya Salehi
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Pre-algebra, difficulty level 4. Tower of Hanoi: What is the minimum number of moves it will take to transfer 25 disks from one post to another?
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Valley Springs Snow Cream
- Kelly Crisp
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Pre-algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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