Maths practice for 14 year olds - page 200 of 371
Number of problems found: 7414
- Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment.
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
- Dilute 8392
I have 500ml of 31% acid and must dilute it to 5%. How many ml of water do I need to add?
- Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm.
- Today in school
There are nine girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?
- Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v.
- Classmates 8383
Katka bought cinema tickets for her classmates. She bought 7 tickets for Thursday and 5 for Friday for the boy and paid 186 CZK. For the girls, she bought 11 tickets for Thursday and 4 tickets for Friday and paid 246 CZK. How much was the ticket for Thurs
- Technicians 8382
The order required six technicians to complete it in 18 days. How long will it take for one, two, three, four, five, six, eight, ten, and twenty technicians to complete it?
- Necessary 8380
With cream with a fat content of 36% and milk with a fat content of 3.85%, it is necessary to make 65 liters of whipped cream with a fat content of 33%. How many liters of each of the raw materials do we need?
- Part-time 8379
Three part-time workers earned a total of 560 €. The first made 20% more than the second and the third 40% less than the second. How much did each of them earn?
- Sweaters 8377
The store earned CZK 1,950 for 13 jackets and five sweaters of the same size and quality. The sweater was 350 CZK cheaper than the jacket. Find the price of the jacket and sweater.
- Motorcyclist 8375
The distance from point A to point B is 40 km. And a cyclist left at 9:00 a.m. at a speed of 20 km/h. At 9:30 a.m., a motorcyclist drove against him from place B at 40 km/h. At what time and at what distance from A do they meet?
- 100% 8374
28 is 100% 13 is x%
- Interest 8369
Mr. Novák borrowed € 3,500 from the bank with an annual interest rate of 14%. He repaid the loan after a year. How much did he pay to the bank?
- Species 8368
20 books for 262 euros One species for 11.60 euros Two species for 13.60 euros how many books to buy for 11.6O euros and how many for 13.6O euros
- The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did
- Rectangular 8365
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15cm and 27cm), arms 16cm and 20cm. The other was a 3-sided prism with base dimensions a=20cm, b=18cm, vb=30cm. Both prisms had a heig
- Kilometers 8362
The cyclist left place A at 8:00 a.m. at a constant speed of 25 km/h. At 8:30, a passenger car leaves A at a speed of 75 km/h along the same route. How many kilometers does the cyclist travel before the car catches up with him?
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?
- Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it?
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