Grade - examples - page 173

  1. Trapezium bases
    lichobeznik_7 Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.
  2. Trapezoid ABCD
    trapezium_2 ABDC is a trapezoid in which AB and CD are parallel sides measuring 6 and 9 respectively. Angles ABC and BCD are both right angles. Find the length of segment BD.
  3. Rhombus
    kosostvorec_1 The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height
  4. Soaps
    mydlo_1 Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma
  5. Lighthouse
    maiak The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow shorter by 3 meters. How tall is the lightho
  6. Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square and the side length is 13 cm.
  7. Gasoline canisters
    fuel_4 35 liters of gasoline is to be divided into 4 canisters so that in the third canister will have 5 liters less than in the first canister, the fourth canister 10 liters more than the third canister and the second canister half of that in the first canist
  8. Parking field
    motorbike There were nine cars in the parking field. The motorcycles were three times less. How many motorcycles are here and how many wheels in the parking field?
  9. Hours
    clock-night-schr_2 The lesson lasts 45 minutes. For the week, students have 18 lesson hours. How many are the actual hours?
  10. Hypotenuse - RT
    triangle_bac_1 A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle?
  11. A bridge
    arc123 A bridge over a river is in the shape of the arc of a circle with each base of the bridge at the river's edge. At the center of the river, the bridge is 10 feet above the water. At 27 feet from the edge of the river, the bridge is 9 feet above the water. H
  12. Cubes into cuboid
    cubes_21 How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?
  13. Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  14. Paul earned
    workers_35 Paul earned 300 Kč in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked. How many percents less earned Paul an hour than Václav? How many hours did Paul more than Václav? How much did Paul earn more t
  15. Square area
    100-square Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area .
  16. Pears
    hrusky_4 There were pears in the basket, I took two-fifths of them, and left six in the basket. How many pears did I take?
  17. Summands
    magic Find two summands of the number 42, so that its product is minimized.
  18. Children
    children_3 The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
  19. Warmer weather
    teplomer_1 This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer?
  20. Bicycle gears
    rear_wheel_sprocket_cassette The toothed wheel on the bicycle pedal has 40 teeth, the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.