Maths practice for 14 year olds - page 265 of 362
Number of problems found: 7230
- Hostel rooms
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Weight puzzle
A + B weighs 75 kg, B + C weighs 83 kg, C + D weighs 92 kg. How much does A + D weigh? - Vertex angle - cone
The rotating cone has a height of 72 cm and an angle at the top of 72°. Determine the volume of a sphere with the same radius as the cone. - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc? - 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 - 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] - 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. - Trucks
Three lorries droved bricks. One drove n bricks at once, the second m fewer bricks than the first and the third 300 bricks more than the first lorry. The first lorry went four times a day. The largest went three times a day, and the smallest lorry five ti - 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 - Shuttle transport
A river 777 km long flows through forests and meadows, and here and there a port flickers on its bank. Between 2 of 5 ports on the river, there is a permanent shuttle transport. It is provided by the 77-year-old ship Quendolína with captain Bluebeard, who - Unknown number 23
Find 2/3 of the unknown number, which is two-thirds of the 99. - Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/ - 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. - 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. - Cinema visitors
The cinema was visited by a total of 890 people in 3 days. On the 2nd day, it was three times more than the 1st day; on the 3rd day, 50 people more than on the 2nd day visited the cinema. How many people see the cinema each day? - Basic form
Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m³ 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m³ 6 min 30 s : 900 s
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