6th grade (11y) - math problems

Mathematical word problems allow you to practice your mathematics knowledge in everyday life tasks. Word problems train to understand, translate into the mathematical language (e.g., equations), solve it, and check the accuracy and solution discussion.
Choose a topic you want to calculate and improve in.


From our database of math word problems and examples we offer:

  • Age
    age In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
  • The city 3
    city The city has 22,000 residents. How long it is expected to have 25,000 residents if the average annual population growth is 1.4%?
  • The copper wire
    cu_wire The copper wire bundle with a diameter of 2.8mm has a weight of 5kg. How many meters of wire is bundled if 1m3 of copper weighs 8930kg?
  • Floor
    map_mierka The floor area of ​​the room is 31 m2 and has a width of 4.3 m. How many centimeters of circumference measured the floor on the map at the scale 1:75?
  • Ratio
    2-9 Write the ratio with other numbers so that the value is the same: 2: 9
  • Trapezium internal angles
    lichob_2 A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D.
  • Candy and boxes
    cukriky We have some candy and empty boxes. When we put candies in boxes of ten, there will be 2 candies and 8 empty boxes left. When of eight, there will be 6 candies and 3 boxes left. How many candy and empty boxes left when we put candies in boxes of nine?
  • Metal pyramid
    jehlan Find the weight of a regular quadrilateral pyramid with a 5 cm length and 6,5 cm body height is made from material with density g/cm3.
  • Performance
    theathre Same number of tickets sold for 15 CZK, 20 CZK, 30 CZK and 40 CZK a total of CZK 13,230 on theatre performance. How many tickets were sold for this performance?
  • School parliament
    slovakia There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls
  • A book
    books A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
  • Snow balls
    snehove-koule Adam made 26 snowballs. Boris made less snowballs. How many snowballs Boris could do?
  • Guppies for sale
    guppies Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have, plus half a guppy. The third customer, Nancy
  • Marcos
    pole Marcos wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover. Dimensions of the lawn are 50 m x 150 m.
  • Pentagon
    5gon Calculate the area of a regular pentagon, which diagonal is u=16.
  • Inscribed circle
    vpisana The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, c.
  • Peak
    lanovka Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?


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