# Numbers - math word problems

1. Rectangle diagonals It is given rectangle with area 24 cm2 a circumference 20 cm. The length of one side is 2 cm larger than length of second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
2. Root Use law of square roots roots: ?
3. Events Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
4. Euler problem Someone buys a 180 tolars towels. If it was for the same money of 3 more towels, it would be 3 tolars cheaper each. How many were towels?
5. Count of roots How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
6. Company After increasing the number of employees by 15% company has 253 employees. How many employees take?
7. Pizza A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza?
8. Bureaucracy The office was attended by 23 people. 9 of them completed the questionnaire. What is the percentage of all people?
9. Garden The garden has two opposite parallel fences. Their distance is 33.1 m. Lengths in these two fences are 75.5 meters and 49.4 meters. Calculate the area of this garden.
10. Geometric mean Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
11. Rectangle The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
12. Triangle TBC TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
13. Line Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers. The Slovakia circulates a lot of myths, particularly ideas about what must be free. For example - education should be free - children of poor parents should know at least read and write. Calculate how much a student would have to pay per hour of teaching,
15. Monty Hall Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. W
16. Four pupils Four pupils divided \$ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth and fourth \$ 154 less than the first. How much money had each of them?
17. Rope One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 143 cm of rope. How long was rope at the beginning?
18. Cotangent If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α. By introducing a new variable solve biquadratic equation: ? The curve radius on the railway line is 532 m . Length of rail track on it is 818 m. How many degrees is the angle ASB, if A and B are boundary points and S is center of arc curve.