Maths practice for 14 year olds - page 221 of 379
Number of problems found: 7566
- Two pipes
How long will it take to fill the pool using both supply pipes if the first pipe alone fills it in 4 hours and the second pipe takes 9 hours longer than both pipes running together? - Cuboidal room
The length of the cuboidal room is 2 m the breadth of the cuboidal room is 3 m and height is 6 m find the length of the longest rod that can be fitted in the room - There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two-digit number puzzle
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Savings Spent Money Left
Jane and Dana have saved 220 crowns together. Jane spent a fifth of her savings, and Dana spent a quarter. Then, they had a total of CZK 150 left. How much have they saved? - Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff? - Two airports
Two airports are 2690 km away. From the first airport, the airplane flies at a speed of 600 km/h, and from a second airplane at a speed of 780 km/h. When will they meet if they fly at 10:00? How far from the first airport? - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Heating Liquid Graph Analysis
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600 W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the ta - Bicycle wheel turns
The pedal wheel on a bicycle has 28 teeth. The gear wheel on the rear wheel has 8 teeth. How many times does the rear wheel turn if we step on both feet 112 times? How many meters can we travel with it at least, and how much more if the rear wheel has a d - One trapezium
One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - Quadrilateral Interior Angles
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Election 4
In a certain election there are 3 candidates for president, 5 for secretary and only 2 for the treasurer. Find how many way the election may turn out. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long. - Iron density
Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Cyclist Round Trip Distance At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city
- Cyclist catches pedestrian A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S?
- Loyal customer discount
The store reduced the original price by 40% during the sale. In addition, he sent an SMS message to his loyal customers with an offer of an additional 15% discount on the price of already discounted goods. Calculate how much the original price was reduced
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