Maths practice for 14 year olds - page 43 of 361
Number of problems found: 7217
- Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th - Infinite speed
A runner completes her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her overall average speed for both laps is 10 km/h? - Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3. - Compound fractions
Simplify the compound fraction using known formulas: (4a²-12a+9)/(4a-6) - Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - 3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation, and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far from the axis of rotation on the right arm must a 0.7 kg weight be placed f - Wrench Lever Force
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren - Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5 cm. - Staircase - escalator
An escalator moves downward at a speed of 0.6 m/s at an angle of 45° to the horizontal. A person weighing 80 kg walks upward on it at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he reaches a height of 2 - The Celebration
Five boys and five girls were nominated for a celebration at a local school. How many ways can the prom king, prom queen, and two other students be chosen from those nominated? (The king must be a boy, and the queen must be a girl) - Rectangle Dimensions from Perimeter
The perimeter of the rectangle is 56 cm, and its length is three times greater than its width. What are the dimensions of the rectangle? - Textbook and Workbook Price
A textbook with a workbook costs 14 euros. The workbook is 6 euros cheaper than the textbook. How much is the textbook, and how much is the workbook? - Harvest Weights Distribution
Martin brought twice as much harvest as Thomas and Philip, 15 kg more than Martin. They got a total of 65 kg of harvest. How much did each person bring? - A lottery In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th
- Total Training Cost
George paid 87 euros for ski training, representing 60% of the total. How much does ski training cost? - Different balls
We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there? - Selling Large and Small Cauliflower
Miss Kapustová sold vegetables in the market. Yesterday, she offered two types of cauliflower: a large one for 25 CZK and a small one for 15 CZK. She sold 8 crates of 20 heads and earned a total of CZK 3,270. How many large and how many small cauliflowers
Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.
