Math practice for 13 year olds - page 314 of 423
Number of problems found: 8456
- Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Calculated 4765
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23dm - Steamer
At 6 hours 40 minutes, the steamer sailed from the port at a speed of 12 km/h. At exactly 10 hours, the motorboat started to sail at 42 km/h. When will the motorboat catch steamer? - Combinations 4762
Please calculate the possibility of combining three numbers, where each number can be from 0 to 9. For example, the number of combinations on the suitcase is equipped with close to three digits. - Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Promotion 4759
Thirty football players came to the pizzeria. A pizza order promotion is going on right now: "If you order 2 pizzas, get the third one free". The football players ordered so many pizzas that each one missed 1 pizza. How many pizzas did they pay for if the - Pure silver
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Grandfather 4754
Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have? - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Difference 4749
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Simultaneously 4746
One painter paints the school in 7 days, the other in 6 days. The school had to be painted in 2 days. A third painter was called in, and they all worked simultaneously. In how many days would this third painter paint the school by himself? - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe - Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area. - Competition 4729
The teacher submitted ten tasks during the competition. Students will receive 5 points for each correctly solved problem; 3 points will be deducted for an incorrect solution. How many math problems did the student solve correctly if he finally got 34 poin - Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apples for 50 CZK a piece. The entire plantation cost 12,800 CZK. How many cherries and apples? - Math test
Students wrote a math test. The average number of points obtained by them was 64. Another student wrote this test for 80 points. If the teacher added his result to the original ones, the total average of all students would be 65. How many students origina
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