Maths practice for 14 year olds - page 381 of 382

Number of problems found: 7627

Plasticine ball
Plasticine balls each have a radius of r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are
Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long.
Playing cards
In how many possible ways can 6 playing cards be shuffled?
Triangle SAA
A triangle has one side of length 23 m and two interior angles of 60°. Calculate its perimeter and area.
Cube diagonal
Determine the length of the space diagonal of a cube with edge 23 km.
Percentages and numbers
By what percentage is the number 69 smaller the number 276?
Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm..
Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0
Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake?
Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
Sandpile
Sand was piled into an approximately conical shape. Workers wanted to determine the volume (amount of sand) and measured the circumference of the base and the total length of both slant sides of the cone. What is the volume of the sand cone if the circumf
Triangle SSS
Calculate the perimeter and area of triangle ABC if a = 45, b = 30, and c = 50.
Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long.
Party
At a party, everyone clinked glasses with everyone else. They clinked 45 times in total. How many people were at the party?
Rotation of the Earth
Calculate the linear speed of the Earth's surface at a latitude of 34.5°. Assume a globe with a radius of 6378 km.
Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs.
Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%?
Temperature calculus
Calculate the percentage of temperature stúpla if changed from 3°C to 7°C.
Phone numbers
How many 9-digit telephone numbers can be formed from the digits 0, 1, 2, ..., 9 if no digit is repeated?
Crossroads
A passenger car and an ambulance approach a rectangular intersection, and the ambulance turns off. The passenger car is moving at 39 km/h and the ambulance at 41 km/h. Calculate the relative speed of the ambulance with respect to the car.

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