Maths practice for 12-year-olds - page 339 of 351
Number of problems found: 7005
- Task
I have homework. The cube's edge is 7 cm long, and I must find the diagonal between the wall and the body. - Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day? - Saw
Imagine that the saw blade with a diameter 40 cm has one tooth colored with a different color. How long does the tooth's tip describe the path after 15 minutes if the blade is rotated 13365 times? - Base
The base of the building is a circle with a diameter of 24 m. Calculate the circumference of a circular trench whose diameter is 19 cm wider than the diameter of the base. - Square
Rectangular squares have side lengths of 183 and 244 meters. How many meters is long the path that leads straight diagonally from one corner to the other? - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - Beer
Which beer is better to drink: small beer (0.3 L) for 0.67 € or large (0.5 L) for 1.81 €? - Number
What number is 12 % smaller than the number 102? - Circle
What is the radius of the circle whose perimeter is 11 km? - Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo? - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again? - Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 66 dm, 60 dm, 23 dm ... Δ DEF: 20 mm, 15 mm, 25 mm ... Δ GHI: 16 cm, 20 cm, 12 cm ... Δ JKL: 58 cm, 63 cm, 23 cm ... Δ MNO: 115 mm, - Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°? - VAT lottery
Father earns 809 euro a month, mother 480 euro per month. Calculate what amount they paid as value-added tax (VAT) to the government if the VAT rate is 20%. Assume that the family will spend their entire monthly income. - Reciprocal
Calculate the reciprocal numbers for the given real numbers. - Plums
In the bowl are plums. How many would be there if we could divide it equally among 8, 10, and 11 children? - Game room
The winner can take the win in three types of jettons with value 3, 30, and 100 dollars. What is the minimum value of win payable in these values of jettons? - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 56 cm, and one of the diagonals is of length 14 cm.
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