Maths practice for 14 year olds - page 58 of 376
Number of problems found: 7507
- Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Hop picker hiring
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days? - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Basement pump water
After the flood, the Nováks would pump water out of the basement with one pump in 120 minutes, the second in 300 minutes, and the third in 600 minutes. How many minutes will it take them to pump the water out of the basement if they use all the pumps at o - Dice sum probability
What is the probability that a roll of three dice will result in a number less than 7? - PIN even probability
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Map scale centimeters
Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map. - Stream cleaning days
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Apartment cleaning together
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part series of books about hockey. Each book in the series costs the same amount. But he only had 80% of the price for the first and second volumes. Grandma paid him the rest for the first and second volumes and 60% of the pric - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Eco-team
In one elementary school, the student eco-team made a promise to plant a total of 78 trees during the three spring months, because their school is celebrating its 78th anniversary since its opening. In the second month, they planted half as many trees as - North Pole
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - Milan Emil shadow
Milan, who is 1.85 meters tall, casts a shadow of 74 cm. How tall must Emil be if he casts a shadow 6 cm longer than Milan simultaneously? - Circle rectangle fit
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Phone call average
A monthly fee of 60 crowns is paid for the phone and 3 crowns for each call. How many calls did we have when one call cost us an average of 4 crowns and 20 pennies?
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