# Equation + reason - practice problems

#### Number of problems found: 583

- Three flocks

There are flocks of birds passes by and one bird on a tree ask them, how many all of you? And they response, we are so plenty, the second flocks of birds again passes by and ask by the bird on a tree, how many all of you, and response we are one half (1/2 - Including 71274

We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Polya's method

On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her backpack, Swiper jumped into her path and grabbed her bag. It stole half of her cookies plus two more. A bit shaken, Dora continued home. Before she had a ca - Variations 70724

If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Combinations 70714

If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Rectangles 70304

How many rectangles whose side lengths are expressed in natural numbers have an area of 96 cm²? - VAT example

The following data were provided by Halo Mango Delight, a VAT taxpayer, for the month of October, November and December 2021 (VAT excluded): Compute the Value added tax of the store for 4th Quarter of 2021. (Show computation in solving the problem). VAT r - Peter 67584

Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now? - Circumference 66964

We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides in whole decimetres. How many different rectangles can we make? - Expression 66754

Find the largest natural number n for which the value of the expression (37-2n) / 3 is equal to the natural number. - Everyone 63334

There are three times more children in the gym than adults. The average age of adults is 44 years. What is the average age of children if the total average age of everyone in the gym is 20? - Peter and Martin

Peter and Martin played by 67 balls. After the game, Peter had 9 more balls than Martin. How many balls did Martin win? Solve the help of the equation. - 4 digit number

I am a four-digit number. My thousand period has a first digit which is thrice the second digit, and the second digit is two more than the third digit. All the rest of the digits are zeros. What number am I? - Quantities 60183

Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - Members

A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has even index) has a value of 42. Find these members. - Three dices

What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Children 58031

The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children? - Squares

From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Gas prices 2021

According to the SPP price list in 2021, the price of natural gas together with its supply is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes o - Four-digit 55481

Find all four-digit abcd numbers to which: abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d.

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