Maths practice for 14 year olds - page 342 of 382
Number of problems found: 7625
- Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. Calculate the volume and surface area of this cylinder. - Neighborhood
I have 7 cups numbered 1 to 7. In how many ways can they be arranged in a row if cups 1 and 2 must always be next to each other? - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - Pennies
Eight hundred pennies have the same value as 100 ducats. One hundred pennies have the same value as 250 tolars. How many ducats have the same value as 100 tolars? - Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son? - Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men? - 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5? - The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container? - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Passenger car
A passenger car covers 1 km in 2/3 of a minute, and a truck takes 50 seconds longer. By how much is the truck's speed lower? - Profits
Two members will make a profit of 52,000 EUR. The first earned 8% more and the second 10% more and thus earned 56,700 EUR together. How much will each initially earn? - Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger? - Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC. - Clocks
How long does the track travel the second hand of a clock in 30 hours, which is 4 cm long? - Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC. - Bank deposit
Ms. Jana, after the withdrawal amount of 2,500 euros after a year of saving in the bank. What was her deposit if the interest rate was 2.5% p.a? - Stock
Enterprise sold 7/12 of its products to foreign markets, and 2/5 of the remainder was sold at home. How many % of the products are still in stock? - Two workers
Two workers together execute some work in 10 days. The first worker would have done it alone in 20 days. How many days would he have done it alone a second worker? - Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue
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