Maths practice for 14 year olds - page 170 of 376
Number of problems found: 7511
- Equation: 21313
Solve the equation: 5 / (x-4) - 2 / (4x-16) = - 7
- Water mixing
There are 5 liters of water at 75°C in the pot. How much water at 10°C do we have to add to the resulting temperature of 55°C?
- Even-handed 21293
In the eighth grade, the children gathered up 850 kg of paper. Class 8A collected 50 kilograms more than 8B. Class 8 C is even-handed in 200% of what class 8A is. How much paper did each class collect?
- Circular dragon
The dragon has the shape of a circular section with a central angle of 40° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones?
- Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone?
- The copper wire
The copper wire bundle with a diameter of 2.8mm weighs 5kg. How many meters of wire are bundled if 1m³ of copper weighs 8930kg?
- Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle?
- Black diamond run
Taleah is skiing down a black diamond run. She begins skiing at the top of a ski trail whose elevation is about 8625 feet. The ski run ends toward the base of the mountain at 3800 feet. The horizontal distance between these two points is about 4775 feet.
- Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter?
- Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler?
- Eighty-eight 21113
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls go to school?
- The shooter
The shooter heard the bullet's impact on the target one second after the shot. The bullet was moving at an average speed of 500 m/s. Calculate with the speed of sound of 340 m/s. Determine the distance of the target.
- Christmas holidays
How many percent take Christmas holidays lasting 18 days from a school year that lasts 303 days? Round the result to two decimal places
- Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
- An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
- Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grandfather ha
- Hectares of forest
Twelve workers plant 24 ha of forest in 6 days. How many days will 15 people and 12 people plant in the same area?
- Trapezoid 20873
In the trapezoid ABCD (AB II CD) is α = 57 °, γ = 4β. Calculate the size of all interior angles.
- Automatically 20853
Please calculate according to Pascal's law. The depth bomb used against the submarine was equipped with a hydrostat, which automatically caused it to explode at a given depth. The hydrostat was set to a pressure of 400kPa. At what depth below the surface
- Anniversary 20843
Mr. and Mrs. Novák announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Novák and Mr. Novák if we know that Mr. Novák is nine years older than Mrs. Novák?
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