# Examples for 9th grade - page 36

- Rhombus IV

Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm. - Bases

The length of the bases trapezium are in ratio 2:1. Length of midline is 17. How long are the bases of a trapezoid? - Digits A, B, C

For the various digits A, B, C is true: the square root of the BC is equal to the A and sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product). - Hop-garden

The length of the rectangular hop garden Mr. Smith increased by 20% and its width by 20%. What is the percentage change in area of hop garden? - Comparing powers

How many times is number 5^{5}larger than number 4^{5}? - Digging companies

Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days and the company D for 24 days. Work began together companies C and D, but after three days joined them other two companies. How long took to dig a pit? - Nuts

How many we must have at least nuts if we can equally divide it to 10 children, 14 children or 19 children and any nut left? - Arc

What area of a circle occupied the flowers planted in the arc of a circle with radius 2 m with central angle 45°? - Cars

Cars started at 7:00 AM. From point A car run at 40 km per hour, from B car run 70 km per hour. Between A and B is 250 km long road. When and where will meet (measured from point A)? - 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 - Baker

The baker makes from 10 kg of flour 12 kg dough. How much flour he need to make a 100 kg dough? - Angles and sides of the triangle

Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of its size. ? - Bank deposit

Ms Jana after the withdraw amount of 2,500 euros after year saving in bank. What was her deposit if the interest rate was 2.5% p.a.. - Thales

Calculate the length of the Thales' circle described to right triangle with hypotenuse 44 cm. - Climb

For horizontal distance 3 km road rise by 5.4 m. Calculate the road pitch in ‰ (permille, parts per thousand). - Wind drift

The plane flies at 450 km/h, passing distance 2100 kilometers with the wind and once again against the wind for 9 h 29 min. What is the wind speed? - Right triangle

Right triangle ABC with side a = 16 and the area S = 80. Calculate the length of the remaining sides. - Shoes

Peter decided to measure shoes size of his three friends. Measured accurately and wrote as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measures Vendy, Jenda and Zdenda shoes together - Two wine

In 2:1 mix wine solution cost 4.1 USD. In 1:2 mix wine solution cost 4.5 USD. How much cost liter of each wine? - Pair

They have together 48 years - he has 2 times as she was when he was equal as she has today ....

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