Power + natural numbers - practice problems
Number of problems found: 34
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Evaluate 32
Evaluate the following expression: 18 * (1 + 9³) - 3 + (20/2) 18 times (1 + 9 to the 3rd power) minus 3 plus (20 divided by 2) - Strawberries 82738
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire time of the brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect, if we kn - Single-digit 81549
Calculate the sum of the squares of single-digit natural numbers less than 6
- Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit? - Base conversion
12²×14³ answer in base five
- Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - Comparing exponents
A) 8 (6²)(8²) b) 16 (6²)(8²) c) (6¹+²) (8²) - The sum 13
What is the sum of the exponents of the prime factors in the prime factorization of 196? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Natural 39393
What is the sum of all natural numbers less than 100 that are the power of 4? - Granddaughter
In 2014, the sum of the ages of Meghan's aunt, her daughter, and her granddaughter was equal to 100 years. We know the age of each can be expressed as the power of two. In what year was the granddaughter born? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book? - Quiz or test
I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e
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