Maths practice for 14 year olds - page 289 of 382
Number of problems found: 7626
- Mowing meadows
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together? - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Educational trails
From point A to point C, an educational trail passes through point B and a red tourist sign; see the picture. In addition, an undrawn abbreviation 1500 meters long, starting at A and ending on the nature trail, can be used. Victor found that • the trip fr - The swing
Two girls are on a seesaw. Anna weighs 45 kg and Simone weighs 35 kg. How far from the pivot should Simone sit for the seesaw to be balanced, given that Anna sits 1.5 m from the pivot? How far apart are the girls sitting? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Flag percentage
What percentage does the white color on the Czech flag occupy? - Factorial equation
Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - MO SK/CZ Z9–I–3
John had a ball that rolled into a pool and floated on the water. Its highest point was 2 cm above the surface. The diameter of the circle where the ball met the water surface was 8 cm. Find the diameter of John's ball. - Construction budget
By improving the work process, constructing a family house saved CZK 111,600, which was 9% of the total budget. What was the original budget for a family house? - Triangle construction
Construct a triangle ABC, given the lengths of the sides: c = 8 cm, a = 5 cm and height length hc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Triangle sides
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The perimeter of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - Truck overtaking
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. At what time will the car catch up with the truck? - Installation team
The team of installers is to carry out the installation in 20 days. By adding two fitters from the beginning of the work, the assembly was completed in 15 days. How many workers were originally on the team? - Consecutive numbers
The sum of four consecutive natural numbers is 90. Determine these numbers. - Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Chestnuts weight
Two pupils handed in 161 kg of chestnuts in the hunting lodge. The first student handed in 9 kilograms more than the second student. How many kilos of chestnuts did each give? - Rectangle dimensions
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area.
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