# Grade - examples - page 91

- Geometric progression 2

There is geometric sequence with a_{1}=5.7 and quotient q=-2.5. Calculate a_{17}. - Two months

Mars has two months, Phobos and Deimos. Phobos orbits around Mars in 7 hours 39 minutes and Deimos in 30 h 14 min. How long will repeat the relative position of the three celestial bodies? - Complementary angles

Two angles are complementary. If one angle measures 10°, what is the measure of the second angle? - Parabola

Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax^{2}+bx+c) - Crown coins

Jana saves two-crown and five-crown coins. She has ten coins in the cashier. How many two crowns and how many five crowns shw have if she saved 29 crowns? - MATES

In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is? - Decimal to fraction

Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - Geometric sequence

In the geometric sequence is a_{4}= 20 a_{9}= -160. Calculate the first member a_{1}and quotient q. - Percent

From 99 children who participated in the ski course were 23 excellent skiers, 13 good and 20 average and the rest were beginners. Calculate this data in percentages. - Fifth of the number

The fifth of the number is by 24 less than that number. What is the number? - Ratio of two unknown numbers

Two numbers are given. Their sum is 30. We calculate one-sixth of a larger number and add to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers were given? - Fewer than 500 sheep,

There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five and sixth order, one sheep will remain. But they can stand in the seventh order. How many are sheep? - Interest p.a.

Calculate the value of interest in period of 1 year from the deposit 62000 CZK at 8 percent interest rate, after deducting 15 percent tax. - Travel by bus

Five girls traveling by bus. Each holds in each hand two baskets. Each basket contains 5 cats. Each cat has 5 kittens. 3 girls getting off the bus and another girl without baskets go on board. The bus control driver. How many legs are in the bus? - Trapezoid 15

Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4 - Arc-sector

arc length = 17 cm area of sector = 55 cm^{2}arc angle = ? the radius of the sector = ? - Rectangular field

One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m^{2}. Determine dimencions of the field. - Extreme temperatures

USA hit extreme heat wave. Calculate percentage of the air temperature change from normal summer temperature 23 °C to 40 °C. - Power

Number ?. Find the value of x. - Floor

Rectangular floor of living room has a length 5.4 meters and a circumference 17.2 meters. What is its width?

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