Maths practice for 14 year olds - page 267 of 362
Number of problems found: 7225
- 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. - Trapezoid 15
The area of a trapezoid is 266. What is the value of x if the bases are b₁ = 2x − 3 and b₂ = 2x + 1, and the height is h = x + 4? - Card drawing
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the - Steamer
At 6:40 AM, a steamboat departed from a port at a speed of 12 km/h. At exactly 10:00 AM, a motorboat set off at 42 km/h in the same direction. When will the motorboat catch up with the steamboat? - Lock combinations
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? - Pizza promotion
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 - Divisible by five
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? We can repeat the digits in the created number. - 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. - Apple distribution
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. - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - Cable car altitude
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Triangle angles
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. - 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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