Examples for 6th grade (the sixth graders)

Number of problems found: 1300

  • Matches
    matches George poured out of the box matches and composing them triangles and no match was left. Then he tries squares, hexagons and octagons and no match was left. How many matches must be at least in the box?
  • Divers
    diving 20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition sick or wasn't came. How many hours is sufficient air to other divers?
  • Cuboid box
    kvadr_sit Cuboid box have dimensions of 30 cm, 25 cm and 40 cm. Sketch its network and compute surface area of box.
  • Octagon from rectangle
    8gon From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm2. How many dm2 we cuts down?
  • Handmade baskets
    kosiky Worker knits the baskets which then sells in the market. He maked seven baskets on Monday and one more each day than he did in the previous day. How many times more baskets did he make till the following Monday evening compared to the first day when he d
  • Master and apprentice
    painters_1 Master painted the roof in 3 hours and apprentice for 4 hours. How many of roof they painted in hour and how many in three quarters of an hour?
  • Tiles
    dlazba2 It is given an area of 5m x 4m One tile is 40 x 40 cm How many tiles are needed in an area of 5 m x 4 m? And how many tiles need to be cut (if it not possible for the tiles to fall exactly)?
  • Square room
    kachlicky_1 What is the size of the smallest square room, which can pave with tiles with dimensions 55 cm and 45 cm? How many such tiles is needed?
  • Division
    numbers_36 Which number in division 16 give 12 and the rest 3?
  • Lunch
    lunch Jane eats whole lunch for the 30 minutes. Which part of the lunch is eaten in 180 seconds?
  • Timeage
    deep Seven times of my age is 8 less than the largest two-digit number. How old I am?
  • Equation 11
    rovnice Solve equation: ?
  • Two machines
    machine_2 Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces produced per shift second machine? b) How many pieces produced two machines together for five shifts?
  • Annual rainfall
    rain_7 The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
  • Pedestrian
    walk Dana started at 10:00 from the point A to point B. These points are distant 12 km. Determine how fast Daniel went when the place B arrived at 11:54. Speed express in km/h.
  • Sugar
    repa_1 From 3 tons of sugar beet was produced 480 kg of sugar. How many tons of sugar was produced from 17.5 tons of sugar beet?
  • Simple equation
    eq_1 Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x)
  • The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  • School trip
    school_trip School trip cost 247.2 Eur for one class (24 students). How much would cost a trip for two classes? (both classes together have 53 students)
  • Expressions
    equation Expression (3a-7).(3a+7) is identical with: ?

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