Maths practice for 12-year-olds - page 252 of 307
Number of problems found: 6129
- Engine pulley
The engine has a 1460 rev/min (RPM). The disc diameter is 350 mm. What will be the peripheral disc speed in RPM? Pulleys on the engine have a diameter of 80mm, and a disc has a diameter of 160mm.
- Kilometers 3259
The deadhead fox butterfly flies at a speed of 50 km/h. They will move to us from Africa in 3 and 3/4 days. How many kilometers will he fly on this journey?
- Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):
- Tank full
Two hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full?
- Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm.
- Circumference 3254
Calculate the height of a diamond with a circumference of 21.6cm and an area of 21.6cm squares.
- Another 3251
The car drove from Liberec to Olomouc for 5 hours. Another vehicle drove 12 km more in an hour and made the same journey in 4 hours. How far is it from Liberec to Olomouc?
- Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg.
- Call of Duty
Game Call of Duty in CTF (Capture the Flag) opposes the British and the Germans, whose bases are 15 km apart. A German soldier stole the British flag and hid it in a secret place between the bases. If the British soldiers set out at a speed of 14 km/h and
- Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality?
- Regular 3241
The tourist started with a regular step on the road at a speed of 80 steps per minute. After going through 100 steps, his son came to see him and wanted to catch up with him. The son took regular steps as long as his father and moved at 120 steps per minu
- Blueberries
Adéla sells blueberries for 50 CZK/1 l, and Zdeněk sells 1 kg of blueberries for 75 CZK. Which of them sells irritants if 1 liter of blueberries weighs 650 g?
- Digit sum
Find the smallest natural number n, the digit sum of which equals 37.
- Ratios
Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8
- Individual 3233
One gardener has 8 apple trees and 2 pears in his set. The other gardener has 12 apple trees and 3 pears in his set. a/ which gardener has more apple trees per pear? b/ what is the ratio of apple and pear trees in individual orchards?
- Calculate: 3230
Calculate: 127 ° 37 '- 58 ° 48'
- Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
- One-sixth 3227
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can?
- Securities 3226
After one year, we sold securities issued at an interest rate of 7% for CZK 8,560. What was their original value?
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