Math practice for 13 year olds - page 347 of 362
Number of problems found: 7234
- Square2
The side of the square is a = 5.6 cm. How long is its diagonal?
- Height UT
How long is the height in the equilateral triangle with a side e = 15?
- 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.
- Reciprocal
Calculate the reciprocal numbers for the given real numbers.
- Spherical segment
The spherical segment with height h=2 has a volume of V=112. 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?
- Tanker
The first pump can empty an oil tanker in 4.9 hour, and the second pump can empty a tanker in 8 hours. If the first pump starts at 4:00 and the second starts 1.4 hour later, when will the tanker be empty?
- Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
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