Maths practice for 14 year olds - page 215 of 362
Number of problems found: 7230
- Collection of stamps
Jano, Ralph, and Frank created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Drug discussion students
Two hundred fifty students were to participate in the discussion on the dangers of drugs. 8% of them did not participate in the debate. How many students were in the discussion? - 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 - 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 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 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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