Maths practice for 14 year olds - page 281 of 375
Number of problems found: 7492
- Security
The safe's security code is set with three dials. The first dial has five different letters, the second dial has the numbers 0 to 4, and the third dial has the numbers 5 to 9. One code can be set in approximately 1 second. How should the alarm be timed so - Box rows
Two hundred boxes of washing powder were lined up in 3 rows in the store. There were 13 more boxes in the first row than in the second row, one-fifth more in the second row than in the third row. How many boxes were there in each row? - Car speeds
A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older. - Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle. - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have? - Class arrangements
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. Thank you - Average speed
The first third of the track was driven by a car at a speed of 15 km/h, the second third at a speed of 30 km/h, and the last third at a speed of 90 km/h. Find the average speed of the car. - Train speed
A train running at 20 m/s sees passengers through the window for 5 seconds. Another train with a length of 250 m runs on the siding in the opposite direction. Find the speed of the second train. - Largest number n
Find the largest natural number d that has that property for any natural number n; the number V(n) is the value of the expression: V (n) = n ^ 4 + 11n²−12 is divisible by d. - Rotating square
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Alcohol mixing
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made? - Cheetah speed
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running? - Train meeting
It is 250 km from Prague to Olomouc. At 6 o'clock, a train left Prague for Olomouc at a speed of 85 km/h. At that exact moment, a train from Olomouc left opposite him at 65 km/h. What time do the trains meet? - Triangle arm
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - Percent to number
To increase that number by 5 percent, we need to multiply it by: - Triangle area
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Concentration - salt solution We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- The pipe
The pipe is 1.5 m long. Its outer diameter is 60 cm, inner diameter is 52 cm. Calculate the pipe's weight if the material's density from which it is made is 2 g/cm³. Please round the results to whole kilograms.
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