Math practice for 13 year olds - page 378 of 422
Number of problems found: 8427
- Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes? - Apartments
The apartment on the first floor was 10% more expensive than the same apartment on the second floor. The difference was 105 Kc annually. Calculate the apartment's annual rent on the first floor and from the apartment on the second floor. - Positive number z
The positive number z is 10% greater than the number y. How many percent is y smaller than z? Report the result rounded to one decimal place. - Swimming pool 4
The pool-shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level? - Candies
If Alena gives Lenka, 3 candies will still have one more candy. If Lenka gives Alena 1 candy, Alena will have twice as much candy as Lenka. How many candies have each of them? - Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm. - Three-digit numbers
How many three-digit numbers are from the numbers 0, 2, 4, 6 8 (with/without repetition)? - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 18 cm. - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises? - Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm? - Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm. - 3 days
The worker checked 2,950 products in 3 days. The second day checked 25% more than the first day. On the third day, 15% more products than on the second day. How many products does he check in each day? - Chord 3
The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius? - Earth's surface
The greater part of the Earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land? - Class 8.A
Three-quarters of class 8A went skiing. One-third of those who remained at home were ill, and the remaining six were on math Olympic. How many students have class 8A? - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Trapezoid RT
The plot is a rectangular trapezium ABCD, where ABIICD has a right angle at the vertex B side and AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. The lengths of the sides AB and CD are in the ratio 3:2. Calculate the con - Mr. Vojta
Mr. Vojta put in the bank 35000 Kč. After a year at the bank, he was credited with an interest rate of 2% of the deposit amount. How, then, will Mr. Vojta be in the bank? - Chord 2
Point A has a distance of 13 cm from the circle's center with a radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle.
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