Math practice for 13 year olds - page 304 of 413
Number of problems found: 8260
- Triangle similarity
Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm - Map scales
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Bun distribution
The two Honzos had buns. The first 6, the second 4. They split with their grandmother so that they all had the same amount. Grandma gave them 5 apples. The first wanted 3, the second wanted 2. The second wanted, on the contrary, Grandma recommended dividi - Segment length
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Chronicle cipher
From the beginning of the year, students in 4th grade wrote a chronicle. She had everything they had together, and they cared a lot about her. But one day, the chronicle was lost. Five students were left to search for everything on Monday after the class. - Socks
One pair of socks is worth CZK 27. A set of three pairs of these socks is sold with a 10% discount. How much will we pay for two offered sets of socks? - Storm
So far, a storm has traveled 35 miles in 1/2 hour in a direction straight to the observer. If it is 5:00 PM, and the storm is 105 miles away from you, at what time will it reach you? Explain how you solved the problem. - Tunnel travel time
How long will a 1 km long tunnel take to travel at a speed of 100 km per hour? - Runners lapping
Two runners run on a 3200 m oval track, one running at 12 km/h and the other at 8 km/h. How long does it take for the first runner to finish the second one? - Chocolate 6
An international gang of chocolate smugglers led by the famous Jack Crooked Nose, who has 7 collaborators, singled out the Bratislava airport as a crossroads for their business. An aircraft from Bratislava to Stockholm flies every third day. An aircraft f - Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter. - Megapascals
What is the area of cross-section of the piston if the force of 300 kN produces a pressure of 5 MPa? - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Square diagonal
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...). - Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has one-third as much than the weight of all three bags. Determine their weights. - Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height is a tree (in meters)? - Interest rate
Charles saved SKK 12,000 in the savings bank at the beginning of the year. At the end of the year, the savings bank credited him with SKK 1,680. At what annual interest rate did Charles have the deposit in the savings bank? - Rectangular meadow
Divide the rectangular meadow with dimensions of 1280 m and 320 m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - Rainwater barrel
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel?
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