Examples for 5th grade (the fifth graders)

Number of problems found: 502

  • Milimeters
    plavani The pool is 6 meters long, 3 meters wide and the water in it is filled with water to a height 1.7 m. When John jumped into it and completely submerged, the level has risen by 5.4 mm. How much weight John when we know that one liter of the human body weigh
  • Metal ductwork
    pipe2 The new hospital would require​ 5,840 feet of sheet metal ductwork. The order is too large for a single​ fabricator, so it was decided to split the order among four fabricators. Fabricator 1 received an order for​ 2,500 feet; Fabricator 2 obtained an orde
  • Shoes
    boty Peter decided to measure shoes size of his three friends. Measured accurately and wrote as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measures Vendy, Jenda and Zdenda shoes together?
  • Czech crowns
    KC.JPG Small Petra save money. Grandfather give her 10 crowns. Petra asked his older sister let her calculate how much he has saved up. Sister told her that he has less than 30 crowns. If the sum is divided by three left one crown. If the sum is divided by the f
  • Carpet
    koberec How many crowns CZK do we pay for a carpet for a bedroom, when 1m of square carpet costs 350 CZK and the bedroom has dimensions of 4m and 6m? How many crowns do we pay for a strip around the carpet, when 1m of the strip costs 15 CZK?
  • Square grid
    sit Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm2 and circumference 12 cm and that their sides is in square grid.
  • Daughters
    family_3 The man conducting the census asks a woman to age of three daughters. Woman says when multiply the age getnumber 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. She says: my oldest
  • The bookkeeper
    books The bookkeeper bought 45 copies of fairy tale books for CZK 120 and 65 copies of the encyclopedia for CZK 325. then he sold it in his shop like this: fairy tales for 135 CZK and encyclopedias for 360 CZK. What was the purchase price of the books? And the
  • Lidl calculator
    lidl_calculator We don't like to advertise unnamed retail chains. But offers relatively high-quality scientific/technical calculator OLYMPIA 8510S with 97 functions(features) for 3.48 Eur. Calculate how many cents costs one feature of this calculator. We believe that eit
  • Youth track
    tunel Youth track from Hronská Dúbrava to Banská Štiavnica which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group o
  • Lesson exercising
    atomium The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal g
  • Divisibility
    divisibility Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
  • Evaluate 5
    parabola2 Evaluate expression x2−7x+12x−4 when x=−1
  • Pension or fraud
    dochodca_icon Imagine that your entire working life working honestly and pay taxes and to Social Insurance (in Slovakia). You have a gross wage 900 Euros, you pay social insurance (you and your employer) monthly € 288 during 41 years and your retirement is 405 Eur
  • Princess
    princezna Princess has lost 321 beads and Prince George are all trying to find. On the first day he found all but 83 beads. On the second day he found 68 beads. On the third day he found the rest, but the princess had lost 76. How many beads had Princess after the
  • Lentilka
    lentilky.JPG Lentilka made 31 pancakes. 8 don't fill with anything, 14 pancakes filled with strawberry jam, 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate 4 of strawberry-cream cheese and all pure strawberry pancakes
  • Medicament
    tablets The same type of medicament produces a number of manufacturers in a variety of packages with different content of active substance. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 9 Eur. Pack 2: includes 150 pills of 500 mg of active
  • Chamber
    socks In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pa
  • RWY
    SFO_map Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
  • Collective irresponsibility
    most_u_komoran At the Internet, time is very uncomfortable for the state that no more gaffe or waste is no longer possible to hush up as if people were at home with only two television channels censored. An example of the effectiveness of state can be Bridge at Komořany

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...