Maths practice for 14 year olds - page 244 of 368
Number of problems found: 7349
- Rotating cone
How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma - Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Product - price
The original price of the product was 6,300. We reduced the product price by 10 percent twice. What is its final price? - Sunflower 6230
Jana and Danka had a total of 125 sunflower seeds. When eating, Jana was smarter and ate 13 more seeds. They gave the last 6 seeds to the parrot. How many seeds did Jane eat, and how many did Dan eat? - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area. - Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0 - Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Calculate 6217
Calculate the larger of the two shields if you know that the smaller shield is a third of the larger one, and their sum is 48. - The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros. - Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube. - Cube cut The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
- Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section? - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Three-fifths
Three-fifths of the school's students are girls. What percentage are boys? - Calculate 6198
Calculate the diagonal length of the 87 cm and 60 cm TVs and round the result to units.
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