Maths practice for 14 year olds - page 194 of 375
Number of problems found: 7499
- Construct rhombus - MO
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all possibilities. How long is a side of a rhombus? - Z8–I–5 MO 2019
For eight different points as shown in the figure, points C, D, and E lie on a line parallel to line AB, F is the midpoint of line AD, G is the midpoint of line AC, and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and the - Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm. - Kilograms of melons
The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms? - Cut trees
There are 1,200 trees in the grove, of which 55 percent are deciduous, the remaining coniferous. Workers cut down 35 percent of a) trees, b) deciduous trees, and c) coniferous trees. How many trees now have this grove? - Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent? - The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24 - Break time
Calculate how much percent of school time is spent on breaks. Calculate data for the whole week. - Three points 4
The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form. - Two workers
One worker needs 40 hours to do a job, and the second would do it in 30 hours. They worked together for several hours, then the company recalled the second, and the first completed the job in 5 hours. How many hours did they work together, and how much di - Pyramid cutting calculation
The regular quadrilateral pyramid has a height of 40 cm and a base side of 21 cm. Cut the needle at half the height. How much will both parts have? - The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths. - Kinetic energy calculation
A boy weighing 50 kg moves horizontally by 10 m. What is his kinetic energy at a speed of 1 m/s? - Positioning energy increase
A boy weighing 50 kg moves horizontally by 10 m. How much has his positioning energy increased? - Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - Aunt Rose
Aunt Rose gave $2500 to Mani and Cindy. Mani received $500 more than Cindy. How much did Cindy receive? - Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required? - Wire model
A wire model of a regular hexagonal prism with a base edge length of a = 8 cm has a height of v = 12 cm. The solid is covered with paper — the bases with dark paper and the lateral surface with white paper. - Calculate in cm the greatest possible straight
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