Maths practice for 14 year olds - page 311 of 361
Number of problems found: 7215
- Painters 4
One painter can do a job in 12 days. After 4 1/3 days, a second painter comes to help, and together they complete the work in 8 days. How long would the second painter take to do the job alone? - Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hours started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker? - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long. - Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Buttons
The shirt has six buttons, and the blouse has four buttons. All buttons are 176. Shirts and blouses are together 36. How many shirts and blouses? - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm. - Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm. - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold. - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - Lathe
Calculate the percentage of waste if the cube with 44 cm long edge is lathed to the cylinder with a maximum volume. - Air pressure
The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house with a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) from the air on - Rain
The empty barrel with a radius of 8 dm and height of 1.2 m rain filled to 75% of its capacity. How many mm of water rained on the roof space of 75 m² - Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle?
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