Maths practice for 14 year olds - page 279 of 370
Number of problems found: 7387
- Aircraft 4480
Two planes take off simultaneously from airports A and B, fly towards each other, and meet in 20 minutes. The distance between the airports is 220 km, and the average speed of the aircraft flying from airport A is 60 km/h more than the average speed of th - Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Father and sons
After 15 years, the father will have as many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now? - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Temperature 4474
Mom is going to wash by hand in water that should be at 40°C. The tub already has 10 liters of water at a temperature of 12.3°C and can still hold 5 liters. What temperature should the water be allowed to be? - Connections 4473 The distance between the two airports is 3480 km. There are regular connections from airport 1. The plane takes off at 6:30 am at an average speed of 600 km/h. From airport two at 7:00 am at a speed of 540 km/h. When will they meet?
- Equation: 4472
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number. - 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 - One-fifth 4469
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? - Passenger 4468
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. - Sheriff 4462
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? - Arrangements 4459
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. - Passengers 4456
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. - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Coefficients 4445
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 4441 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?
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