Maths practice for 14 year olds - page 262 of 361
Number of problems found: 7214
- 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? - Circle construction
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 - Menu choices
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 a square sheet with 1 m sides, we cut out circles with a radius of 10 cm. How many discs can we cut, and what percentage of the material 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. - 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 The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016.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. - Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume? - Parallelogram
We know about parallelogram ABCD: length |AB| = 76 cm, |BC| = 44 cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Grandfather The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is.
- Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many natural numbers will be less than 4000, and can the numbers be repeated? - Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5 cm. - Candies
There are two types of candies in the store 20 CZK/kg and 80 CZK/kg. How much will a mixed cost if we mix 22 kg cheaper and 4 kg more expensive candies? - Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which is 11 cm and 8 cm long, and whose legs measure 2.5 cm?
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