# Examples for 9th grade - page 30

- SAS triangle

The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle. - Cube and water

How many liters of water can fit into a cube with an edge length of 0.11 m? - 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. - Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 3 digits? - Trapezoid ABCD

Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20. - The body

The body on the figure consists of cubes with an edge length 6 cm. What surface has this body? - Swing

A child weighing 12 kg is sitting on a swing at a distance of 130 cm from the axis of rotation. How far away from the axis of rotation (center) must sit down his mother weighs 57 kg if she wants to be swing in balance? - Mother and daughter

Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)? - Cuboids in cube

How many cuboids with dimensions of 6 cm, 8 cm and 12 cm can fit into a cube with side 96 centimeters? - Tunnels

Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any - Workman - shift

The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components? - Warehouse cars

From the warehouse started truck at speed 40km/h. After 1hour 30mins started from the same place same direction a car at speed 70 km/h. For how long and at what distance from the warehouse overtake a truck? - Work

First paver pave pavement for 27 hours. Second for 27 hours. Started first paver and after 4 hours, join the second. How long will they finish pavement? - Exam average

Average of marks that have on the certificates students of 8.A class in mathematics is exactly 2.45. If we did not add 1 and 3 of sutdents Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class 8. - Katy MO

Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY? - Four-digit number

Find also a four-digit number, which quadrupled written backwards is the same number. - Gasholder

The gasholder has spherical shape with a diameter 20 m. How many m^{3}can hold in? - Triangle

Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Bath

In the bath is 30 liters of hot water. Then added 36 liters of cold water at temperature of 19 °C decreased temperature of water to 41 °C. What was the initial temperature of the hot water? - Cube 6

Volume of the cube is 216 cm^{3,}calculate its surface area.

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