Maths practice for 14 year olds - page 134 of 378
Number of problems found: 7551
- Locomotive 40441
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11) - Tangens parallelogram
If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4) - Length 40391
The wheels are stuck in the water. 40 cm is in the ground, 2/3 of the length is in the water, and 1/5 of the length is above the water. How long is the wheel, how many cm is in the water, and how much is above the water? - Circuit voltage
Calculate the closed-circuit voltage. Calculate the power on the resistors. R1 = 30 ohms, R2 = 10 ohms. I = 0.1A. U =?. The resistors are connected in series, one after the other. - Mushrooms
The mushroom picker had 110 mushrooms in the basket. He had 36 mushrooms less than cossacks. How many mushrooms did he bring if he only had cossacks and mushrooms in the basket? - The nuts
There are 159 nuts in two bags, 15 more in the first than in the second. How many nuts are in the bags?
- Together m+d
Aunt Jane would paint her apartment in 10 hours and her mother in 15 hours. How much do they paint it together? - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Electrical 40291
At a certain point, we measured a voltage of 4.5V at a current of 150 mA at the bulb's terminals connected to the electrical circuit. What is the resistance of the bulb? - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - Mathematical 40213
Sixty-two high school students took part in the Mathematical Olympiad. There were 7 fewer first-year students than sophomores, two-thirds of the number of third-year students, and 5 fourth-year students. How many students from each grade took part in the - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs.
- Laboratory 40191
Laboratory assistant Eva is to prepare 0.5 liters of 30% sulfuric acid. It has 60% and 15% sulfuric acid ready. How many of which will he use in the solution? - The father
The father is three times older than his son. 10 years ago, a father was seven times older than his son. How old are father and son? - Probability 40131
There are 28 students in the IK3 class. Three pupils will be examined. Nineteen pupils are ready for the exam. What is the probability that all three will be unprepared? - Antelope 40121
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Probability 40101
The target is divided into three zones. The shooter's probability of hitting the first zone is 0.18, the second zone is 0.22, and the third zone is 0.44. What is the likelihood that he will miss the target?
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