Math practice for 13 year olds - page 186 of 428
Number of problems found: 8558
- 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 3cm, 4cm, 5cm, and 6cm, 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 - Wooden bowls
Twenty wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has - 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. - Three-digit number creation
How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them? - 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, Janka modeled a rotating cone with a base diameter of 10 cm. How tall was Janka'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 - Line ratio comparison
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm - Helena Jane savings
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held? - Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6cm, and the side edge b = 10cm. Calculate the height of the pyramid. - Ball reservoir capacity
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water? - Cube dimension calculation
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
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