Grade - examples - page 167

  1. Book
    books_6 Jitka read on holidays book that has 180 pages. In the first week read 45 pages. In the second week she read 15 pages more than the first week. How many pages left to read it yet?
  2. Obtuse angle
    UholZSobr2 Which obtuse angle is creating clocks at 17:00?
  3. The rope
    rhombus-diagonals_2 A 68 centimetre long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimetres what is the distance between the other two corners?
  4. Classroom
    trieda_1 There are eighty more girls in the class than boys. Boys are 40 percent and girls are 60 percent. How many are boys and how many girls?
  5. Series and sequences
    seq_sum Find a fraction equivalent to the recurring decimal? 0.435643564356
  6. Third member
    seq_6 Determine the third member of the AP if a4=93, d=7.5.
  7. Alley
    stromy_6 Alley measured a meters. At the beginning and end are planted poplar. How many we must plant poplars to get the distance between the poplars 15 meters?
  8. Parabola 3
    parabola_2 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
  9. Mother and daughter
    family_20 The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
  10. Trees
    tree2 A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height?
  11. Money split
    20eur Anton and Ferko got 2,500 euros together. The amount was split in 1:4 ratio. How much did each get?
  12. Folded square
    square_folded ABCD is a square. The square is folded on the midpoint of AB and A is folded onto the fold, creating a shaded region. The perimiter of the shaded figure is 75. Find the area of square ABCD
  13. Thermometer
    teplomer_2 thermometer showed -12 degrees Celsius at the morning then the temperature rises by 4 degrees and later again increased by 2 degrees at the evening has fallen by 5 degrees and then fall 3 degrees. What end temperature does the thermometer show?
  14. Equation
    rovnice_3 Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
  15. MO Z8–I–6 2018
    lich_1 In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
  16. Shirt
    tricko Mrs. Vítková bought each of his three children the same shirt paid CZK 1,000. Saleswoman she returned 568,60 CZK. What was the price of one shirt?
  17. Write decimals
    numbers_34 Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
  18. Hexagon cut pyramid
    truncated_hexa_pyramid Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge us 12 cm, and the side edge length is 41 cm.
  19. Right triangle from axes
    axes2 A line segment has its ends on the coordinate axes and forms with them a triangle of area equal to 36 sq. Units . The segment passes through the point ( 5,2). What is the slope of the line segment. ?
  20. Wagons and cranes
    wagon_1 Several of the same cranes unloaded 96 wagons. If there were 2 more cranes there would be less 8 wagons for each crane. How many cranes were here?

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