Maths practice for 12-year-olds - page 183 of 360
Number of problems found: 7192
- Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m². - Barrel-shaped 21933
We have a barrel-shaped barrel that has a bottom diameter of 60 cm. How many cm will the water level rise if we add 50 liters of water to the barrel? - Cone from cube
From a wooden block 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m³ - Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden? - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast? - Scale plan
On a 1:150 scale plan, the garden is 20 cm wide and 30 cm long. What is the actual width and length of the garden? (in meters) - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere.
- Course 21753
The course is 80m long. What will be its length on the plan at a scale of 1:500? (in cm) - Calculate 21743
Calculate the block's volume in liters with edge lengths of 3dm, 15cm, and 120mm. - Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums? - Championships 21683
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Rectangle 21663
A) Divide a rectangle measuring 126 cm x 72 cm into as many squares as possible. b) Calculate the side length of these squares. - Circumference 21603
The circumference of the diamond is 29.6dm. a - calculate the length of its side b - calculate the area of the diamond if its height measures 5 dm - Emilio
Emilio made 69 potholders. Each potholder cost him $2.81 to make. How much profit will he make if he sells each potholder for $3.12? - Cardholders 21563
Two cardholders will build a tower of cards in 0.5 hours. In how many hours will five such a tower be built?
- Block-shaped 21493 How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it?
- Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l. - Circumference 21403
The rectangle has a circumference of 40 cm and a width of 9cm. Thus, its length is 40 cm. - Spherical 21373
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim?
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