Maths practice for 14 year olds - page 168 of 376
Number of problems found: 7512
- 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) - Workforce 22353
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? - Approximately 22253
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 - Circumference 22243
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 the classroom, students always give candy to their classmates on their birthdays. The birthday person always gives each one candy, and he does not give it himself. A total of 650 candies were distributed in the class per year. How many students are in - Motorcyclist 22103
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 = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Probability 22033
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - Quadrilateral 22003
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 - Temperature 21973
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. - Movement 21953
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces do in 2 minutes? - Production 21923 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?
- Determine 21903
A truck left place A at 8:00 a.m. at a speed of 60 km/h. From place B, which is 225 km from A, a car drove towards it at a speed of 90 km. Determine when and how far from place A the vehicles meet. - Rectangular land
On a rectangular plot of land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied? - Distance 21883 The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be?
- Length 21863
The steel wire (α = 11.5. 10-6 1/K) has a length of 100 m at -15 °C. Find its length at 45 °C. - Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
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