Grade - examples - page 168

  1. Skiing
    sneh Ski gondola starts at a distance of 975 m from the top and is 389 meters long. I went to the bottom station to the top station. How many meters I must go to the top of hill?
  2. Minimum of sum
    derive_1 Find a positive number that the sum of the number and its inverted value was minimal.
  3. Trapezium
    trapezium_1 The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
  4. Broken tree
    stromy_4 The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.
  5. Study
    time_4 For 7 hours study, she scored a 75 so if she made 93 how many hours would she need to study?
  6. Savings 2
    low_money Jozef and Michael saved 46 euros together. Michael saved 22 euros more than Jozef. How much did save each of them?
  7. Slope
    slope_1 Find the slope of the line: x=t and y=1+t.
  8. Cacao
    chocholate_2 Cacao contains 34% filling. How many grams of filling are in 130 g cacao.
  9. Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  10. Circle chord
    circles_6 Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.
  11. Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72
  12. Storm
    storm-012 So far, a storm has traveled 35 miles in 1/2 hour in direction straight to observer. If it is currently 5:00 p. m. and the storm is 105 miles away from you, at what time will the storm reach you? Explain how you solved the problem.
  13. Car parking
    parking The car park has 80 cars when 53 cars leaves. How many car are there?
  14. Bakery and flour
    silo_1 The bakery tray for flour was filled to 3/4 volume. After removing 875 kg of flour, it was filled to only 2/5 of the volume. How many tons of flour is in the full tray?
  15. Garden
    flowers2_3 The garden grows 312 roses and 389 tulips. Which flowers are more? How many?
  16. 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?
  17. On the tree
    vrabce_1 15 squids and sparrows sat on the tree. Sparrows were 8 less than squids. How many sparrows were sitting at the tree?
  18. 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?
  19. 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?
  20. Series and sequences
    seq_sum Find a fraction equivalent to the recurring decimal? 0.435643564356

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