# Basic functions - math word problems

1. VAT lottery Father earns 993 euro a month, mother 918 euro per month. Calculate what amount they paid as value added tax (VAT) to the government if the VAT rate is 20%. Assume that the family will spend their entire monthly income.
2. Interest What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
3. Chebyshev formula To estimate the number of primes less than x is used Chebyshev formula: ? Estimate the number of primes less than 30300537.
4. Digits Write the smallest and largest 1-digit number.
5. Efficiency of rail With subsidies are business easy. Calculate how much must cost rail ticket (x) in today's ticket price € 11 and if the trains was not subsidized, if it is known that without subsidies would cost three times today's ticket prices. Calculate the value of
6. Clock How many times a day hands on a clock overlap?
7. Slope What is the slope of the line defined by the equation -2x +3y = -1 ?
8. Interest Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
9. Vans In how many ways can 9 shuttle vans line up at the airport?
10. Aircraft The plane flies at altitude 6500 m. At the time of first measurement was to see the elevation angle of 21° and second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
11. Map On the tourist map at a scale of 1 : 50000 is distance between two points along a straight road 3.7 cm. How long travels this distance on a bike at 30 km/h? Time express in minutes.
12. Candy How many ways can divide 10 identical candies to 5 children?
13. Sea water Seawater contains about 4.3% salt. How many dm3 of distilled water we must pour into 5 dm3 of sea water to get water with 1.8% salt?
14. Exp If ?, then n is:
15. It is rectangular? Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
16. Gain Find the gain whenever the output power is 21x the input power.
17. 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.
18. RWY Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway
19. Decibel A circuit has an input power of 58 mW. Its output power is 6 mW. What is the loss in decibels?
20. Root The root of the equation ? is: ?

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