Maths practice for 11-year-olds. - page 113 of 226
Number of problems found: 4508
- The excavation
The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey - Number ratio calculation
The two numbers are in a ratio of 4:13, the first of which is 52. Which is the second number? - Equation sign filling
Fill in the signs so that equation 3 2 3 4 = 3 applies. - Radius of sphere
The surface of the sphere is 1256 cm². Calculate the radius of the sphere. - Rhombus height calculation
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2 - Equation solving
Equation: 6 (x + 1) -4 (2x + 3) = 7 (x-1) +5 (9-x) - Ages ratio
The father is 36 years old, and his daughter is four years old. Write down the ratio of father and daughter's ages. What will be the age of the father and daughter in four years? - Expression simplification
Simplify 5a. (-3a) - School year
At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t - Chess competition
Four chess players took part in the competition. How many matches would have taken place if every chess player had played with everyone just once? - Garden rain calculation
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily? - Candies
There are 150 candies in the bowl. Ivan took seven thirtieths, Charles six fifteenths, and Thomas three-tenths, leaving 150 sweets in the bowl. - One-third of the rod
The 7-meter-long rod has one-third of its length in the ground and a quarter in the water. How many meters of the rod are not in the water or the ground? - Diamond side calculation
The area of the diamond is 112 cm², and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm. - Number difference puzzle When I subtract their difference from the sum of two arbitrary numbers, I always get twice the second number. Why?
- Barrel volume calculation
The barrel can be filled with just a two-liter measuring cup and a measuring cup for 3l, 5l, 7l, and 10l. What is the smallest volume this barrel can have? - Pool lane distribution
Fractions problem: There are 8 lanes in the pool, but divers have one-quarter of them. One-half of the remaining lanes are for fitness swimming. The other tracks are for games and jumps. How many lanes can people jump into the water? - Water tank calculation
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain? - Step meeting calculation
Peter went for a walk with his younger brother George. Peter makes steps 70 cm long, and George 45 cm. How many meters do their actions meet again if they walk on the same foot? - Tank filling time
The pump delivers 34 hl of water per minute. How long does it take to fill the tank with a volume of 10m³? Write the result in hours and minutes.
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