Maths practice for 14 year olds - page 351 of 362
Number of problems found: 7226
- Cube in a sphere
A cube is inscribed in a sphere with volume 8101 cm³. Determine the edge length of the cube. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Beer
After drinking three 10° beers in a short time, there are 5.2 g of alcohol in the blood of an adult weighing 5 kg. How much is this in per mille? - Ravens
In the tale of the Seven Ravens, there were seven brothers, each born exactly 4 years after the previous one. When the eldest was 4 times older than the youngest, their mother put a curse on all of them. How old were the seven brothers when their mother c - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Right Δ
A right triangle has one leg 54 cm long and a hypotenuse 90 cm long. Calculate the altitude from the right angle to the hypotenuse. - Trains for people
Trains are often associated with delays. Calculate the average travel speed of a train on a 85 km route if the scheduled departure is 7:00 and arrival is 8:18, but the train is delayed — departing at 8:10 and arriving at 9:27. - Work
Workers work five days a week and have 28 days of vacation a year. Calculate how many days is out of work and express it as a percentage. Consider that a year has 52 weeks. - Radians
Convert 90° to radians. Write the result as a multiple of π. - Discount
A ladies' sweater was discounted twice: first by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater. - Permill
How many permills is 1141 from 98313? - Four pupils
Four pupils divided 765 euro so that the second received 50% less than the first, the third received 1/2 euro less than the fourth, and the fourth received 50 euro less than the first. How much did each of them receive? - Vinegar
We need to dilute 36 litres of 9.1% vinegar solution to a 4.5% solution. How much water must be added? - Cuboid
A cuboid with edge a = 6 cm and space diagonal u = 31 cm has a volume of V = 900 cm³. Calculate the lengths of the other two edges. - Described
Calculate the circumference of the circle circumscribed about a triangle with sides 82, 495, and 438. - Radius
Determine the radius of a circle whose circumference and area are numerically equal. - Trapezoid
In a right-angled trapezoid, are the diagonals perpendicular to each other, and do they bisect the angles? - Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m - Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it. - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 35 cows graze meadow for 27 days and 39 cows by 24 days. How many cows graze the meadow for 6 days?
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