Math practice for 13 year olds - page 410 of 422
Number of problems found: 8426
- Cone
The circular cone of height 14 cm and volume 4396 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|). - Rhombus
It is given a rhombus with a side length of a = 20 cm. Touchpoints of the inscribed circle divided its sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Freedom
In the city are 2/4 of women married for 4/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Pine
How much of a mixed forest ranger wants to cut down if their head said: "We only cut down pine trees, which in our mixed forest 97%. After cut, pine trees constitute 92% of all trees left." - Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube. - Motion problem
From Martina to Levíc, go car at speed 89 km/h. From Levíc to Martina, go another car at speed 71 km/h. How many minutes before the meeting will be cars 29 km away? - Beer
After three 10° beers consumed in a short time, there is 5.2 g of alcohol in 5 kg adult human blood. How much is it per mille? - Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 4 years after the previous one when the eldest of the brothers was 4-times older than the youngest, mother all curse. How old were seven Ravens brothers when their mother curse - Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station? - Area 4gon
Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 18, 9, 18, and 9. Inner angles are 45°, 135°,45°, 135°. - Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - Right Δ
A right triangle has one leg 54 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height. - Area of RT
Calculate the right triangle area in which the hypotenuse has length 14 and one hypotenuse segment has length 5. - Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27. - Christmas
Calculate how much of the school year (206 days long) take Christmas holidays 19 days long. Answer write as a decimal number and as a percentage. - 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 the number π. - Discount
The ladies' sweater was twice discounted. First, it will be calculated by 8%, then by 8% of the new price. Its final price was 66 €. Determine the sweater's original price.
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