Reason + expression of a variable from the formula - practice problems
Number of problems found: 123
- Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - 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 an even index) has a value of 42. Find these members. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - One and a half chicken
One and a half chicken bears one and a half eggs in one and a half-day. How many eggs can withstand from 6 chicken in 6 days? - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11) - Centimeters 4178
Find the surface of a block whose one wall is 48 centimeters square and the other wall is 30 centimeters square. - Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272. - When 5
When five is subtracted from both my numerator and denominator, I become 3/4. What fraction am I? - VAT on books
The cost of a book in the store is 12.5 euros. How many euros is the VAT of this book? VAT is 10%. - Multiplied 82243
Zuzka divided 52 by 2 8 times and multiplied by 2 6 times. What number did she get? - Numbers 13691
Write the number 126 as the sum of three numbers, which ratio is 2: 5: 7 - Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows? - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - 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? - Birthdays 9011
Three sisters have birthdays today, and their ages are in the ratio of 2:3:4. In two years, their ages will be in the ratio of 5:7:9. Find what their ages will be in four years. - Together 4204
Three bowls together have the same price as seven plates. Four bowls have the price of six cups. How many cups are as valuable as 28 plates? - Boys and girls 8
In a class of 35 boys and girls with a ratio of 2:5. 5 boys are absent, and five boys are present. How many students are present? - Clothes
Danka and Janka collect clothes. Danka had nine more than Janka, so she gave her 7. Which now has more cloth and how many? - Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row.
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