Maths practice for 14 year olds - page 268 of 370
Number of problems found: 7393
- Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Cylinder 5032
The tank has the shape of a rotating cylinder with a height of 10 m. The width of the level is 1 m, and the level is 20 cm below the top of the cylinder. How much diesel is in the tank? - Different 5030
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day? - Individual 5028
Mrs. Bartova is buying apples. The Bohemia variety is CZK 4 more expensive per kilogram than the Golden variety. Mrs. Bartova bought 10 kg of Golden and 15 kg of Bohemia. She paid a total of 360 kc. How many crowns did the individual types of apples cost? - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Railway Tunnel
The largest tunnel in the Slovak Republic on the Banská Bystrica-Diviaky route measures 4,698 m, which was only 8.7% of the length of the longest railway tunnel at the time in the world, the Seikan in Japan. Calculate the length of this tunnel - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm? - Simultaneously 5010
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S - Dining 5004
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - Cutting circles
From the square 1 m sides, we have to cut the circles with a radius of 10 cm. How many discs will we cut, and how many percent will be wasted? - Fifth of the number
A fifth of the number is 24 less than that number. What is the number? - Father and son
The father is 48 years old, and the son is 23. When will the father be twice as old as the son? - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Remaining 4989
The seller sold 40% of the fruit on the first day, 2/3 of the rest on the second day, and the remaining 20 kg on the third day. How much fruit did he sell in those three days? - Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016. How much money did she withdraw? - Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after three years? - 3 years savings
Simple interest problem. Tereza has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Interest is added each year and left aside. How many CZK (crowns) will you have in total after three years? - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
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