Maths practice for 14 year olds - page 275 of 361
Number of problems found: 7214
- 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. - 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? - Bouquet arrangements
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Cruise liner
The cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes and 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of a cruise liner? - Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir: "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." W - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m - Ravens
On two trees sits 17 ravens. If three ravens flew from the first to the second tree and five ravens took off from the second tree, then the first tree has two times more ravens than the second tree. How many ravens were originally on every tree?
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