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If Aiden decided to count up to one million, taking one second for each number, how many hours do you think it would take him to reach that goal?

Answer explanation

To count to one million at one number per second, Aiden would take 1,000,000 seconds. There are 3,600 seconds in an hour, so it would take him about 277.78 hours (1,000,000 ÷ 3,600).

James is thinking of a two-digit multiple of 10, which is closer to 94 than to 80 and is 5 more. What number is he thinking of?

Answer explanation

The two-digit multiples of 10 are 80, 90, and 100. The number closer to 94 than to 80 is 90. Adding 5 gives 95, which is not a multiple of 10. The only valid two-digit multiple of 10 that fits is 90.

Mia and Liam are exploring the world of numbers and come across perfect squares. They find that the numbers 1, 4, 9, and 16 are perfect squares. Now, they wonder how many perfect squares are there between 100 and 500? What are these perfect squares?

Answer explanation

To find perfect squares between 100 and 500, we calculate the squares of integers from 10 to 22. The perfect squares are 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484.

After dividing 34 804 by a number, Zoe got a quotient of 263 with a remainder of 88. What number did she use as divisor?

Answer explanation

To find the divisor, use the formula: Dividend = (Divisor × Quotient) + Remainder. Here, 34,804 = (Divisor × 263) + 88. Rearranging gives Divisor = (34,804 - 88) / 263 = 132. Thus, the divisor is 132.

Henry, Benjamin, and Charlotte are trying to split a prize of 45 dollars among themselves. They decide to express 45 as a sum of four numbers. Henry adds 2 to his share; Benjamin subtracts 2 from his share; Charlotte multiplies her share by 2, and the fourth person divides their share by 2. If all four shares are equal, what are the four amounts they each receive?

Answer explanation

Let the shares be x. Then, Henry: x+2, Benjamin: x-2, Charlotte: 2x, and fourth: x/2. Setting them equal gives: x+2 = x-2 = 2x = x/2. Solving these, we find x = 9. Thus, shares are 11, 7, 18, and 4.

Noah, Abigail, and Priya went fishing together. They were not so lucky that day for they caught only three fish. But they divided the fish equally among themselves without cutting or splitting any of the catch. How was that possible?

Answer explanation

Noah, Abigail, and Priya caught three fish, which they could divide equally by each taking one fish. The third fish could be given to one of them, making it possible to share without cutting or splitting any fish.

Noah has a collection of marbles. If he gives away some marbles and is left with n marbles, what is the value of n in n= ?

Answer explanation

Noah's remaining marbles, n, represent the total he has after giving some away. The value of n is simply the number of marbles left with Noah, which is the answer to the question.

Scarlett and Rohan are having a friendly competition to guess the number of jellybeans in a large jar. They receive a clue: The number of jellybeans, when divided by 2, 3, 4, 5, 6, 7, 8, 9, and 10 will always leave a remainder of 1. How many jellybeans are in the jar?

Answer explanation

The number of jellybeans must be 1 more than a multiple of 2-10. The least common multiple of 2-10 is 2520. Therefore, the number of jellybeans is 2520 + 1 = 2521.

Scarlett, Luna, and Jackson are organizing a community event and need to divide 1,536, 1,344, and 2,904 items equally among themselves. What is the GCF of these numbers to determine how many items each can receive?

Answer explanation

To find the GCF of 1,536, 1,344, and 2,904, we can use prime factorization or the Euclidean algorithm. The GCF is 48, meaning each person can receive 48 items.

David can arrange his stamps either 15 stamps on a page, 18 on a page, 21 on a page. What is the least number of stamps that David has?

Answer explanation

To find the least number of stamps David has, we need the least common multiple (LCM) of 15, 18, and 21. The LCM is 630, which is the smallest number that can be evenly divided by all three. Thus, David has at least 630 stamps.