Numbers - problems

  1. Brick
    brick One brick is 2 kg and half a brick heavy. What is the weight of one brick?
  2. Right Δ
    ruler Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
  3. Motion problem
    dragway From Bratislavy to Martina go car at speed 83 km/h. From Martina to Bratislavy go another car at speed 62 km/h. How many minutes before the meeting will be cars 21 km away?
  4. Square
    square_1 Points A[1,5] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate area of the square ABCD.
  5. Rainfall
    storm Annual rainfall in our country are an average of 854 mm. How many m3 of water rains on average per hectare?
  6. Expansion
    magnification If one side of the rectangle is larger 3-times and second 4-times, what percentage increases the area of rectangle?
  7. VAT
    Tax John paid 1000 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.
  8. Medians
    medias_triangle Calculate the sides of a right triangle if the length of the medians to the legs are ta = 23 cm and tb=14 cm.
  9. Cuboid
    cuboid_diagonal Determine the dimensions of cuboid a, b, c; if diagonal d=6 dm has angle with edge a α=57° and has angle with edge b β=60°
  10. LCM
    calc_icon What is the least common multiple of 28, 42, 22?
  11. Hypotenuse and height
    euklides In a right triangle is length of the hypotenuse c = 45 cm and height hc = 19 cm. Determine the length of both trangle legs.
  12. Sequence
    arithmetic_seq In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
  13. Truck
    truck Truck went for 5 hours and 21 minutes. If truck increase speed by 19 km/h, went same distance in 2.9 hours. Calculate this distance.
  14. Events
    items Event J has probability of 0.17. What is the probability that the event J occurs in:
  15. Rope
    rope One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 52 cm of rope. How long was rope at the beginning?
  16. Number
    fractions_1 Calculate the integer number which, divided by 45 gives 20 and the rest 2.
  17. Farmer
    krava The farmer farming 332 ha of arable land and the remaining 11% are meadows and pastures. How much land farmer owns?
  18. Fraction
    1_3_fraction Determine for what x fraction ?:
  19. Rising price
    book The book first become more expensive by 5 euros. New price was later increased by 13%. After the second price increase book cost 47 euros. What was the original price of the book?
  20. Exponential equation
    exp Solve exponential equation (in real numbers): 12-x-10=18

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