Math practice for 13 year olds - page 402 of 419
Number of problems found: 8372
- Number
What number is 12 % smaller than the number 102? - Silo
The outer perimeter of the silo is 10 m. The concrete wall is 13 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 - 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 42 km/h. One cyclist lost with defect 9 minutes. How long and far must he go at speed 47 km/h to catch the peloton again? - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Cyclist
A cyclist is moving at 34 km/h and follows a pedestrian walking at speed 5.5 km/h. The walker has an advantage 12 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, - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Reciprocal
Calculate the reciprocal numbers for the given real numbers. - 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.
- 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 33, we get the square of the following integer number. What is the original number? - Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube? - Tanker
The first pump can empty an oil tanker in 6.1 hour, and the second pump can empty a tanker in 10.3 hours. If the first pump starts at 5:00 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? - Height
Calculate the height of the equilateral triangle if its perimeter is 31. - 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? - Hostel
Students are accommodated in 18 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 92 children there?
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