Maths practice for 14 year olds - page 250 of 382
Number of problems found: 7625
- Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism. - Sweater Discounted Twice
The women's sweater was discounted twice. First 10% later by 10% of the new price, its final price was 324 CZK. Determine the price of the sweater. - Garden measurements
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle. - Rectangle Perimeter and Area Perimeter and area of the rectangle. Diagonal 260 m and one side 150 m
- Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm² and the side length is 13 cm. - 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 Seeds Eating
Jane and Dana had a total of 125 sunflower seeds. When eating, Jane 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 - Triangle calculations
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Two Shields Size Ratio
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 50 m and width of 60 dm, and height of 300 cm. Calculate how much it will cost to paint this room (the floor is not painted) if the window and door area is 15% of the total area and 1 m² costs 15 euro - Cube Surface from Section
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 12 cm. Calculate the area of diagonal cut B DD'B '.
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