Maths practice for 13 year olds - page 349 of 360
Number of problems found: 7196
- Scrap
From 19 products are 4 scraps. What is the probability that the random pick of 2 products has no defective product? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Tape
Video is 153% more expensive than a tape recorder. How many percent tape recorder is less expensive than video?
- Spherical cap
From the sphere with a radius of 11 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere? - Elections
The elections attended a total of 4818 voters. First-day 39 men more than women, the second-day 21 women more than men. How many women attended elections? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza? - 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
- Pediatrician
Pediatrician, this month of 24 working days takes 6 days holidays. What is the probability that on Monday it will be at work? - Work
The first paver paves pavement for 27 hours. Second for 27 hours. I started the first paver and, after 4 hours, joined the second. How long will they finish the pavement? - Cone
The circular cone of height 15 cm and volume 5699 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|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio (|PB|)/(|DP|).
- Freedom
In the city are 3/9 of women married for 3/6 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 98%. After cut, pine trees constitute 94% of all trees left." - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away? - Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
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