Math practice for 13 year olds - page 293 of 432
Number of problems found: 8636
- The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Languages 5741
There are 21 children in the class. Of these, 12 are learning German, and 16 are learning French. How many children learn both languages, and how many children only learn French? Cut out using a cartoon set. - Two annuluses
The area of the annular circle formed by two circles with a common center is 100 cm². The radius of the outer circle is equal to twice the radius of the inner circle. Determine the outside circle radius in centimeters. - Question: 5736
A mother is 21 years older than a child. In 6 years, the mother will be five times more than the child. Question: Where's Dad? - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm and CD = 4cm. Calculate the length of the AC diagonal. - Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers - Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Filament of bulb
The bulb's filament has a 1-ohm resistivity and is connected to a voltage of 220 V. How much electric charge will pass through the fiber when the electric current passes for 10 seconds? - Grandfather and grandmother The old mother is five years younger than the old father. Together, they are 153 years old. How many years has each of them?
- Two trains
There were 159 freight wagons at the railway station creating two trains. One had 15 more wagons than the other. How many wagons did each train have? - Birthday
The mother bought 21 desserts on the occasion of Mirka's birthday. One tip was 9 CZK, and the kremlin cost 12 CZK. For all desserts, she paid 213 CZK. How many kremlins and how many tips did mums buy? - Coulombs
How long does it take for a 15 C charge to cross the conductor's cross-section if a 3mA current passes through the conductor? - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Resistance 5713
The kettle is connected to a voltage of 230 V. Its resistance is 130 ohms. What is the current flowing through the kettle?
- Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Pendulum
Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm. - Highway tunnel
The company built the highway tunnel from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" rasters. After 55 business days, both parties me - Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square.
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