Maths practice for 12-year-olds - page 179 of 352
Number of problems found: 7031
- The dough
The dough contains water, flour, and sugar. Water and flour are in a ratio of 2:3, and flour and sugar are in a ratio of 2:1. Find the ratio of all three components of the dough.
- Perpendicular 24671
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?
- Circumference 24601
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 24531
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
- Calculate 24511
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?
- One-tenth 24421
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
- Cleaning 24411
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's 24241
The planetarium's dome is shaped like a hemisphere with a diameter of 17 m. Determine the size of the projection area
- Lead ball
What is the weight of a lead ball with a diameter of 3 cm if the density of lead is 11340 kg/m cubic?
- 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.
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