Maths practice for 14 year olds - page 32 of 378
Number of problems found: 7551
- Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar - Women in the company
1467 women work in a factory. Women make up 46% of all employees in the factory. How many employees work in the factory? - Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6000 m² of area within the planned time. Two painters got sick, so each of the four who remained had to paint 50 m² more each day than the planned daily output. Calculate the original planned daily output of one painter - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. How many CZK did Thomas receive less than John? - How big is 4
How big is the angle when one side is 20m and the other is 1.5m in a right triangle? - In the library
We have 8 different books in the library. How many ways can they be arranged? How many possibilities are there if 3 volumes are to be in a certain order? How many possibilities are there if three volumes are to be in a row independently in order?
- Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg? - Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice? - Vegetables - slime
A private vegetable grower harvests in 12 hours, and his son in 10 hours. How long will they harvest together? - Small interest 3
Tomáš had a certain amount of money in his account, which earned him €64 in interest for a year at an interest rate of 2% p. a. What would be the interest on the same amount if the annual interest rate was 3.5%? - Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance. - 4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm. - Worker 8
The worker has a work standard of 15 products in 8 hours, he produced them in 6.5 hours. By what % did he fulfill the plan? - Me and my father
My father and I are now 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I?
- Legs and ratio
For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. - RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees? - Nuts 8
Peter divided the nuts between two friends. Each friend received a quarter of all the nuts and two more nuts. Peter had two nuts left. How many nuts did he have when he started giving them away? - Large 2
The large wheel has 72 teeth, the smaller wheel has 56 teeth, and the small wheel has 27 teeth. How many revolutions will the smallest wheel make when the largest wheel turns 120 times? - Calculate 449
Calculate the size of the angle formed by 2 lines on the dial and formed by connecting the points 7.2 and 1.4.
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