Algebra - problems - page 70

  1. Perimeter to area
    circles_1 Calculate the area of a circle with the perimeter 15 meters.
  2. Table
    stol The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio 3:5
  3. Unknown number 6
    bonbons_7 Determine x if 1/6 of x is equal to 2/5 of the number 24.
  4. Quadrangular pyramid
    komoly Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the side wall and the plane of the base.) S =? , V =?
  5. Sphere radius
    koule_krychle_2 The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm.
  6. Enterprise company
    work 30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company?
  7. Can
    konev Watering can full of water weighs 10 kg. Half-full can weighs 5.5 kg. How much weigh can?
  8. Raspberries
    maliny_2 Dano had 20 raspberries. John had 90% more raspberries than Dano. Determine how many raspberries have Dano and Juraj together.
  9. Spain vs USA
    balls_bw_1 Spain lost to the US by 4 goals. In the match total fell 10 goals. How many goals gave the Spain and how the United States?
  10. RT perimeter
    rt The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.
  11. Fifth member
    arithmet_seq_1 Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.
  12. Rectangle 35
    rectangles_13 Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length.
  13. Apples
    jablka_4 Apples I picked 600 kg this year. Autumn's apples was 4 times more than the summer. How many kg's I picked the summer and how much winter apples?
  14. The buns
    buhty Kate, Zofia and Peter Liked buns. Even today, their grandmother prepare their favorite meal. Katka eats 4 bunches, Žofia 3 and Petra eats 5 buns. Their grandmother said to them, "My inmate will you know how many buns I have been make today, if those you ea
  15. The rectangle
    rectangles_6 Determine the area of the rectangle where the length and width are in the ratio 5:2 and its length is 7.5 cm longer than its width. Determine also its length and its width.
  16. Guess a fraction
    fractions_1 Tom was asked to guess a fraction. The sum of 1/2 the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in simplest form)
  17. One percent
    led One percent of all the lights in the city are LED, the remaining 99% are conventional. Other types are not there. John counted them honestly but he had counted only conventional. After a good dinner he registered numbers and he have notice that from all t
  18. Unknown number x
    percents2_4 5% from an unknown number equals the number 26. What is the unknown number?
  19. Ravens
    havrany On two trees sitting 17 ravens. If 3 ravens flew from first to second tree and 5 ravens took off from second tree then the first tree has 2 times more ravens than second tree. How many ravens was originally on every tree?
  20. Trapezoid - central median
    lichobeznik-stredni_pricka The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.

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