Math practice for 13 year olds - page 191 of 415
Number of problems found: 8281
- The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid. - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Block volume calculation
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume - Cone paint calculation
Forty identical traffic cones with base diameter d = 36 cm and height v = 46 cm are to be painted orange on the outside (without base). How much do we pay for paint if we need 500 cm³ of paint to paint 1 m² and 1 liter of paint costs CZK 8? - Square area ratio
The lengths of the sides of the two squares are in the ratio of 5:7. In what proportion will their area be? - Team success rate
Two handball teams practiced shooting free throws. The first team hit the goal 39 times out of 68 attempts. The second team hit the goal 36 times out of 89 attempts. Express the success rate of each team as a percentage. - Gold cube distribution
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3 cm, 4 cm, 5 cm, and 6 cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut. - Coke and coal
20.1 tons of coke is produced from 30 tons of black coal. How much coke is made from 1 kilogram of coal? - Secondary school
Half the pupils want to study at the secondary school, 1/4 at the apprentice, and 1/6 at the grammar school. Three pupils do not like to learn. How many students are in the class? - Right trapezoid
Calculate the area of a rectangular trapezoid whose perpendicular arm is 27 mm long and the bases are 33 mm and 19 mm long. - Class swim calculation
Seven of the 28 pupils cannot ski, and x pupils cannot swim. How many students in this class can swim? - The recommended
The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). He sold 55 pieces of the novel and sold the rema - Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base - Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - From plasticine Michael modeled from plasticine a 15 cm high pyramid with a rectangular base, with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Jane modeled a rotating cone with a base diameter of 10 cm. How tall was Jane's cone?
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c - Electricity tariffs
To figure out the pricelists of energy companies is difficult for the ordinary person. One must be on guard e.g. when one moves and thus somewhere sharply reduces the consumption of electricity and somewhere else sharply raises the consumption of electric - Helena Jane savings
Helen had 20% more savings than Jane. They have saved 1804 CZK. How much have Helen and Jane held? - Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6 cm, and the side edge b = 10 cm. Calculate the height of the pyramid.
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