Algebra + reason - practice problems - page 31 of 53
Number of problems found: 1055
- Increases 80772
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Arranged 80453
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Branches 5825
Parrots, a few of them flew around and sat down anyway. 3 on the dog's back. There are 29 parrots. There were 9 more sitting than flying. 6 more sat on the branches than on the grass. How many parrots were still flying? How many were sitting on the branch - Three-digit 33263
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits.
- Flowers
The flower has six flowers, and each flower has a number. These are the numbers: 20,40,39,28,8,9. What number will be in the middle of the flower so that the numbers come from the flowers when we subtract and add? - Florist
The florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - Difference 5419
Peter said to Paul: "Write a two-digit natural number with the property that if you subtract from it a two-digit natural number written in reverse, you get the difference 63. Which number could Paul have written?" Specify all options. - Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer? b) total in all n layers c) express the given sequence - Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row?
- Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, left the 11 trees. How many trees must seed? - The exhibition
The teacher paid 280 CZK for four students for admission to the exhibition. How many students were at the exhibition? Hint: admission cost is a whole number. - Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components? - Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses? - 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435.
- Observed 8276
We observed road traffic. We only saw bikes and cars. There were a total of 40 laps on the road. List at least three options how many bikes could be and how many cars? - Younger 7202
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85. - Salary raise
The monthly salary was 620 Eur. During the year, it was raised to 727 Eur. Calculate the month from salary was increased that employee earned 7547 Eur during the whole year. - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - 600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
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