Math practice for 13 year olds - page 410 of 427
Number of problems found: 8528
- 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? - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone. - Clock
How many times a day do hands on a clock overlap? - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Squaring the Circle
Find the side of the square with the same area as the circle of radius 9. - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - OK circle
The right triangle has hypotenuse long 33 and one leg long 17. Calculate the radius (circumradius) of the circle described. - Sine
In the triangle Δ ABC, if sin α =0.6 and sin β =0.7 Calculate sin γ.
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