Maths practice for 14 year olds - page 374 of 376

Number of problems found: 7508

Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?
Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle h_AB to the side AB.
Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
Monkey
The monkey fell into 20 meters deep well. Every day it climbs 3 meters, at night it drops back by 2 m. On what day it gets out from the well?
Clocks
How long will a path of the end of the clock's minute-hand long 23 cm for 340 minutes? How long will we walk at the same time hour-hand?
Kites
Boys run kites on a cable of 68 meters long. What is the kite altitude if the angle from the horizontal plane is 72°?
Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1702. Calculate how many books Ladislav could buy at the price of 30 and 28 euros if he doesn't want to fill the whole home library, and he can buy only 59 books
Chess
How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
Road
Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B.
Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle?
Jewel
Rhombus-shaped jewel has an area of 23 mm², and the edge is long 5.9 mm. Calculate the size of the acute rhombus angle.
Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood?
Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
Circle in rhombus
An inscribed circle is in the rhombus. Contact points of touch divide the sides into parts of length 14 mm and 9 mm. Calculate the circle's area.
Rectangle
The area of a rectangle is 893. Its length is 28 larger than the width. What are the dimensions of the rectangle?
Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm.
Salary
Operatér got to pay 2560 Euros in banknotes of 20 and 500 Eur. Total got 8 banknotes. How many were which?

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