Maths practice for 14 year olds - page 171 of 362
Number of problems found: 7229
- Worker reward distribution
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get? - Worker reward distribution Three co-workers earned a total of CZK 4,720 for repair work. They split the money so that the first got 20% more than the second, and the third got 50% more than the second. Thus, everyone got CZK 4,720.
- Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25 mm, b = 29 mm, c = 36 mm. - Company employee distribution
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - City plan
The city planned to repair the highway section for 20 hours. Workers reduced this time by 20%. How long did the repair take? (express in hours and minutes) - Beet field workers
Three times more women than men work in the beet field. Eight men and 8 women load beets. The rest of the workforce, in which there are five times more women than men, cuts beets. How many men and how many women work in the fields? - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Wheel circumference
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels. - The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it? - Birthdays
In a classroom, students give candy to their classmates on their birthdays. The birthday student gives one candy to each classmate but does not receive one themselves. A total of 650 candies were given out over the course of the year. How many students ar - Car motorcyclist meeting
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75 m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Defective bulb probability
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - Quadrilateral shelter
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Aluminum volume expansion
The aluminum container has an internal volume of 0.75 l at 20 °C. How does this volume change if the temperature increases by 55 °C? A = 24.10-6 1/K. - Pulley pulling force
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3 m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2 A passes through the immersion cooker at a voltage of 230 V. What work do the electric field forces do in 2 minutes? - Production increase percentage The company produced 300 vehicles a day. What percentage did production increase when they made 1,560 vehicles in 5 days?
- Herbs drying
By drying, 75% of the weight of the herbs is lost. How many fresh herbs do you have to dry if you want to hand in 1.2 kg of dried herbs?
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