Maths practice for 12-year-olds - page 179 of 347
Number of problems found: 6923
- Three-digit numbers
We have digits 0, 1, 4, and 7 that we cannot repeat. How many three-digit numbers can we write from them? You can help by listing all the numbers. - Block cube edge
The block and the cube have the same volume, 216 cm³. The block has side lengths of b = 4 cm and c = 9 cm. Can they have the same side? - Candy box capacity
Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume. - Booth perimeter calculation
The sales stand floor plan consists of squares and has an area of 48 m². What is the perimeter of these booths? a. 34 m b. 36 m c. 40 m d. 44 m - Triangle perpendicular
The right triangle has an area of 2304 cm2, and one perpendicular is 8 cm long. Express and calculate the second perpendicular. - Work together
Two bricklayers are plastering a wall. The first would plaster it in 8 hours, the second in 12 hours. If they work together, how many hours will they be done? - Triangle circumference calculation
The triangle has a perimeter 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) - 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 - 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 = 8 dm. The height of the trapezoid is va = 3 dm. - 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 Frank and driver Charles are friends. They leave the start-stop at the same time in the afternoon - at 13.30. When will they meet again if Frank goes around his route in 50 minutes and Charles 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 - Three-sided prism
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - 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? - 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.)
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