Math practice for 13 year olds - page 339 of 353
Number of problems found: 7058
- Task
I have homework. The cube's edge is 7 cm long, and I must find the diagonal between the wall and the body.
- 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.
- Square2
The side of the square is a = 5.6 cm. How long is its diagonal?
- 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.
- Number
What number is 12 % smaller than the number 102?
- 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?
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb?
- 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?
- Retail
At what price can the retail 1 kg goods be bought from wholesale if the weight lost in distribution is 4%, and retail still has a profit of 6.3%? Goods are sold at retail for 25 euro per kg.
- Cyclist
A cyclist is moving at 35 km/h and follows a pedestrian walking at speed 4 km/h. The walker has an advantage 19 km. How long does it take a cyclist to catch up with him?
- Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder.
- 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,
- Reciprocal
Calculate the reciprocal numbers for the given real numbers.
- Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment.
- Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
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