Maths practice for 14 year olds - page 334 of 370
Number of problems found: 7384
- 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.
- 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?
- 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 minutes, and a truck in 50 seconds longer. How much slower is the speed of the truck?
- 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?
- Two workers
Two workers together execute some work in 10 days. The first worker would have done it himself in 20 days. How many days would they have done himself 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
- Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and
- Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat?
- Calcium and citality
The daily dose of calcium was obtained using 0.75 liters of milk and 60 grams of cheese. a/ In the morning, I drank half a liter of milk. How much cheese must I eat to consume a daily dose of calcium? b/ I ate 50 grams of cheese. How much milk must I drin
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
- Four-digit number
Find a four-digit number, which quadrupled written backward is the same number.
- Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below
- The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds?
- angles in quadrilateral
What size have angles in quadrilateral (4-gon) if they are in a ratio of 8:9:10:13?
- 10 pieces
How to divide the circle into ten parts (geometrically)?
- Truck
In 7 hours, we started from the town Krnov truck at a speed of 40 km/h. Passenger cars started against it in 8 hours 30 minutes from the city of Jihlava at a speed of 70 km/h. The distance between these two cities is 225 km. At what time and distance do t
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