Maths practice for 12-year-olds - page 180 of 355
Number of problems found: 7084
- Triangle circumference calculation
The triangle has a circumference of 19.5 cm. From the formula for calculating its circumference, express successively unknown a, b, c. Then over by substituting: a = 8 cm; b = 6.5 cm; c = 5 cm. (always count the expressed side) - The water tank
The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank if we paint with 1 kg of paint 10 m²? - Expression value calculation
1. The sum of three times the character b and the number 8. Find the value of the expression for b = 3. 2. Six times less than z and find the value of the expression for z = 12 - Cylinder height calculation
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³. - The corridor
The corridor is 12 m long and 3.6 m wide. It must be paved with rectangular tiles measuring 15 cm and 30 cm. Are 1000 pieces of tiles enough to pave the corridor? - Volleyball - air in ball
The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it. - Age of family
The father and son are in a ratio of 10:3. The father and daughter's age is 5:2. How old are a father and a son if the daughter is 20? - Bathroom tiling cost
Zdenka wants to tile her new bathroom. The bathroom has a square shape with a side length of 2.5 m. How many euros will he pay for new paving if 1 m² of paving costs 12 euros? But do you have to account for one-tenth of the tiling waste that needs to be b - Stream cleaning hours
Thirty pupils took part in the cleaning of the local stream. Everyone had to work t hours. N pupils worked half an hour longer. How many hours did the students work to clear the stream? - AL wire
What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic? Please round to the nearest gram. - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - Brass
Brass is an alloy of copper and zinc in a ratio of 3:2. How many grams does a component that requires 270 g of copper weigh? - Central angle
The circle has a diameter of 46 cm. What is the arc length that corresponds to a central angle of 30°? - Drivers Driver Franta and driver Karel are friends. They leave the start-stop at the same time in the afternoon - at 13.30. When will they meet again if Franta goes around his route in 50 minutes and Karel in 40 minutes?
- Planetarium dome area
The planetarium's dome is shaped like a hemisphere with a diameter of 17 m. Determine the size of the projection area - Wheel teeth calculation
The white wheel has 24 teeth. The black wheel has fewer teeth than the white wheel. Both wheels return to their initial position for the first time after two revolutions of the white wheel. How many teeth does the black wheel have? - The convoy
During a military exercise, the convoy left the camp at 5 hours at a speed of 40 km/h. Half an hour later, the commander sent a motorcycle clutch at a speed of 70 km/h. How long before the motorcycle clutch reaches the column? - Average storage amount
The Pelikan's account was continuously paid the following amounts: 2,000, 4,500, 6,100, 2,100, 3,000, 1,700, 2,600, 2,000 Find average storage amounts. - Tent air volume
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Orchard tree calculation
Three-fifths of the orchard trees are apple trees. One-third are cherry trees. The remaining five trees are pear trees. How many trees are in total growth in the orchard?
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