Maths practice for 14 year olds - page 265 of 371
Number of problems found: 7401
- Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Difference 5186
The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number. - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3cm. What could be the possible answer for the upper radius of a truncated cone? - Years
Susan is three years old. She will be as old as Teodor now when he is 11. How old is Teodor today? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Adam and Ben
When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old are you today, Ben and Adam? - Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, and the height of the tang is found. - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Three granaries
Three granaries hold 7,800 metric cents (q) of grain. In the first, 70 tonnes of grain was more than the second, and in the third, it was 120 tonnes less than in the second. How many grains were in each granary? - Pond
Workers will empty a pond with two open floodgates in 20 days. A larger floodgate will empty the whole pond in 30 days. For how long would he be emptied with a smaller floodgate? - View angle
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river - Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Decagon 5145
Find the area of a regular decagon if its side is 10 cm in size. - Inner angles The inner angles of the triangle are 30°, 45°, and 105° and its longest side is 10 cm. Calculate the shortest side length, and write the result in cm up to two decimal places.
- Regular n-gon In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
- Equilateral 5140
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - Maintaining 5136
Petr succumbed to a bank's tempting offer, opened an account, and deposited CZK 1,051 into it. The account bore interest at 1.4%, credited once a year. The fee for maintaining this account was only CZK 140 per year. After seven years, he enjoyed how his d - Deposited 5135
It was 1975, and Petr deposited the entire cash of 10,900.40 Euros in a savings account with 4% interest, credited monthly. He did not add anything to the book, and in exactly 15 years, he withdrew the entire amount in cash. How much did you choose?
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