Examples for 8th grade - page 14

  1. Square 2
    square_ABCD_1 Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.
  2. Pyramid a+h
    jehlan_1 Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.
  3. Plan of the village
    mapa_1 Plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.
  4. Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability 92% and doctor B with a probability 88%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
  5. n-gon
    ngon_1 Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
  6. Climb
    scenic_road Road has climbing 1:27. How big is a angle corresponds to this climbing?
  7. Rectangles
    rectangles How many rectangles with area 3002 cm2 whose sides is natural numbers are?
  8. Motion
    bus_1 From two different locations distant 232 km started against car and bus. The car started at 5:20 with average speed 64 km/h. Bus started at 7:30 with average speed 80 km/h. When they meet? How many kilometers went the bus?
  9. Rotary cone
    cone_2 Rotary cone whose height is equal to the circumference of the base, has a volume 229 cm3. Calculate the radius of the base circle and height of the cone.
  10. Parallelogram
    paralleogram Calculate area of the parallelogram ABCD as shown if |AB| = 19 cm, |BC| = 18 cm and angle BAD = 90°
  11. Unknown x
    UnknownX If we add to unknown number 21, then divide by 6 and then subtract 51, we get back an unknown number. What is this unknown number?
  12. Sale
    sale_percent If the product twice price cut by 25%, what percentage was price cut in total?
  13. Circle section
    circle_segment Equilateral triangle with side 34 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector.
  14. 2x cone
    truncated_cone_2 Circular cone height 76 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
  15. Solidarity
    salt Imagine a word solidarity means that salt donation to the needy, who have neither the salt. If we take word solidarity has word base salt + gift (only in Slovakian language). Calculate how many kilos of salt sympathetic citizen "gives" government a year i
  16. Jewel
    rhombus3 Rhombus-shaped jewel have area of 153 mm2 and the edge in long 13.9 mm. Calculate the size of rhombus acute angle.
  17. Square
    1square Calculate area of the square with diagonal 64 cm.
  18. 4s pyramid
    pyramid_regular Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?
  19. Trapezoid
    rectangular_trapezoid Are diagonals in a rectangular trapezoid perpendicular and bisect the angles?
  20. Discounts on rail (ZSSK)
    preukazy_zssk The railway company ZSSK offers a discount of 25% (KLASIK RAILPLUS) for 35 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 20 Eur per week.

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