Math practice for 13 year olds - page 224 of 424
Number of problems found: 8476
- Average speed
The average speed of a pedestrian who walked 10 km was 5km/h, and the average speed of a cyclist on the same track was 20km/h. In how many minutes did the route take more than a cyclist? Q - Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. - Nitrogen
One bag of urea containing 46 percent nitrogen weighs 25 kg. How many bags must be purchased for fertilizing a field of 41003 square meters if the nitrogen dose is 50.0 kg per hectare? - Two chords
Two parallel chords are drawn in a circle with a radius r = 26 cm. One chord has a length of t1 = 48 cm, and the second has a length of t2 = 20 cm, with the center lying between them. Calculate the distance between two chords. - 3/8 off
The shirt costs 38.95. If it has a discount tag for 3/8 off, how much will you pay? Round to the nearest cent. - Rectangular base pyramid
The pyramid has a rectangular base of 2.8 m and 1.4 m and a height of 2.5 meters. Calculate an area of the shell of the pyramid. - Hexa pyramid
The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 2 m. Find the volume of the pyramid to be 2.5 m high. - Triangular prism
Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15cm. - Difference GCD - LCM
Calculate the difference between the greatest common divisor and the least common multiple of 24 and 36. - Two accounts
Two accounts in the bank, one per year interest 2%, the second 3%. Total interest income 1900 USD. If we reversed interest rates, the yield would be USD 200 higher. What are the amounts on each account? - Accommodated 15223
A total of 17 pupils are accommodated in 5 rooms in the dormitory. Some rooms are triple, some quadruple. Determine how many pupils are accommodated in triple rooms. - Buttons
The men's shirt has nine buttons, and the blouse has three buttons. Together they sewed 60 pieces and consumed 390 buttons. How many shirts? - Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Return 15193
Fiona sets off from the tower after Shrek at 9:10 at a speed of 6 km/h. Shrek starts to meet her from the swamp at 9:50 at a speed of 4 km/h. At 10:50, they meet and return back to the swamp at a speed of 4 km/h. What time does he arrive at the swamp? - The fastest
The fastest boat can reach speeds more than 710% as fast as the Queen Mary 2. How would you express this number as a fraction and as a decimal? - Triangle 15123
In triangle ABC, we know the angle BAC = 50 degrees. What is the angle between the axis of the angle ACB and the axis of the angle CAB? - Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - Squares above sides
Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2:1 ratio. The AC side is longer than the BC side. Calcu - Calculate
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm. - The prison ball
Calculate the density of the material from which the prison ball is made if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables, estimate what material the ball is made from.
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