Maths practice for 12-year-olds - page 211 of 351

Number of problems found: 7018

Water Height Cylinder Diameter
How high will 1 liter of water in a cylindrical vessel with a bottom diameter of 8 cm reach?
Juice Container Diameter Volume
What diameter will a 20 cm high cardboard juice container have to fit half a liter?
Connected 3 gears
There are three connected gears. Wheel A has 30 teeth, wheel B has 15 teeth, and wheel C has 20 teeth. How many turns does wheel A make when wheel C turns nine times? a) 6, b) 5, c) 4 d) 8
Photo Enlargement Dimensions
The photo has 6 cm and 9 cm dimensions and should be enlarged 8:3. What will be the dimensions after magnification?
Tricycle scooter assembly
John had 19 wheels in the kit. He used all these wheels in the construction of tricycles and scooters. How much does he assemble complete scooters, and how many tricycles? Find all solutions.
Different prices
Christopher sells 10 bells at different prices: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 euros. He needs to pack all the bells into 3 boxes so that the price of the bells in each box is the same. How many ways can he do this? a)1 b)2 c)3 d) 4 e) cannot be divided in
Solve Complex Equation
Solve the equation: 10x + 13-9 = (2001 + 4) / 5 + 130-101
Constant motion
The car has undergone constant motion, traveling 120 km in 1 hour and 30 minutes. Determine its average speed. Also, determine how far the car drove in the first 20 minutes and in the first 50 minutes after starting.
Plot Map Scale
The rectangular plot has dimensions of 50 m and 100 meters. On the plain, its circumference is 60 cm. To what extent is the plan made?
Pyramid volume change
How does the volume of a pyramid change if we triple its height?
Closed drum
Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π= 3.14)
A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that
Cylinder pot
The cylinder-shaped pot has a bottom diameter of 28 cm and a height of 36 cm and is two-thirds full of tea. Will this tea be enough for 50 children if we serve it in full 3 dl glasses?
Water container transfer
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm?
Cylinder Paint Weight Area
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
Raspberry juice
The children from the scout troop went to a restaurant for refreshments after the trip, where each child ordered one of three drinks - raspberry juice, sparkling water, and kofola. A fifth of the children had raspberry juice, five children ordered sparkli
Pumps
After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would it take to drain out with three equally powerful pumps?
Round-trip
A woman works at a law firm in city A, about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph.
Hikers Meeting Time Route
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?
Cube Volume from Surface
The surface of the cube is 61.44 cm². Calculate its volume.

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