Ratio - 6th grade (11y) - math problems

On solving problems and tasks with proportionally, we recommend hint rule of three. Rule of three (proportionality) help solve examples of direct and inverse proportionality. Three members make possible to calculate the fourth - unknown member.

Number of problems found: 119

  • Mixing paint with water
    painter_1 Mr. Adamek will paint. The purchased paint is diluted with water in a ratio of 1: 1.5. a) how many parts of water will add to 1 part of the paint b) how many liters of water the mission adds to 2 liters of paint
  • The dough
    cesto The dough contains water, flour, and sugar. Water and flour in a ratio of 2: 3, flour, and sugar in a ratio of 2: 1. Determine the ratio of all three components of the dough.
  • The plan
    city The plan of the housing estate is in three scales 1: 5000,1: 10000,1: 15000. The distance between two points on a plan with a scale of 1: 10000 is 12 cm. What is this distance on the other two plans? What is this distance?
  • Two villages
    mapa On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
  • Chicks
    kuriatko How many chicks were hatched from 4500 eggs, when an average of 100 eggs hatched 87 chicks?
  • Geometric plan
    map_1 At what scale the building plan if one side of the building is 45m long and 12mm long on a plan?
  • Two brothers
    mapa_ta3_3 The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m2 in a ratio of 5:4. How many will everyone get?
  • The angles ratio
    123_triangle The angles in the ABC triangle are in the ratio 1: 2: 3. find the sizes of the angles and determine what kind of a triangle it is.
  • Garden
    garden_18 The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden?
  • Photo egative
    negativ Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
  • Five mechanics
    car_37 Five mechanics will make a car for some time. How many cars can 30 mechanics produce at the same time?
  • Display case
    vitrinka Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs.
  • Land area 2
    postrekovac_2 A land area was divided among the three heirs in the ratio 5:2:4. If the largest share was 20 hectares of land, what is the total area of land? Please show your solution and what kind of proportion is this please
  • Building
    wood_3 At the building, we divided 240 boards into two piles in a 5: 3 ratio. How many were fewer boards in the lower pile?
  • Andre
    stamp_6 Andre, Thomas, and Ivan split 88 postage stamps in a 2:5:4 ratio. How much did Thomas get?
  • Ornamental shrubs
    delnik_3 Children committed to plant 240 ornamental shrubs. Their commitment however exceeded by 48 shrubs. Write ratio of actually planted shrubs and commitment by lowest possible integers a/b.
  • Ratio 11
    zlomky_7 Simplify this ratio 10 : 1/4
  • A map
    mapa_1 A map of size 60cm by 25cm is reduced in the ratio of 3:5, twice. What are the new dimensions?
  • Ratios
    gule Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8
  • Unknown number 5
    hyperbola_2 Daniel think an integer. When he change this number at a ratio of 2:5 he got number 2.8. Determine what number think Daniel.

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