Math practice for 13 year olds - page 298 of 413
Number of problems found: 8254
- Pumping
The tank is filled with a larger pump in 12 hours and with a second pump in 15 hours. For how long does the tank fill when both pumps are switched on at the same time? - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Decagon area
Find the area of a regular decagon if its side is 10 cm in size. - Regular n-gon In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
- Triangle side
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - Bank account
Peter succumbed to a bank's tempting offer, opened an account, and deposited CZK 1,051 into it. The account bore interest at 1.4%, credited once a year. The fee for maintaining this account was only CZK 140 per year. After seven years, he enjoyed how his - Pyramid surface
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Stadium area
When the runner goes around the circular stadium five times, he runs 157 km. What area does the stadium occupy? - Well volume
The well has the shape of a cylinder with a base diameter of 1.2 m. From the surface to the surface, it is 4 m, and the water depth is 3.5 m. How many m³ of soil had to be dug when digging the well? How much water (in cubic meters - m3) is in t - Meeting time
At 7 o'clock, a truck drove from Olomouc towards Hradec Králové at an average 40 km/h speed. A passenger car left Hradec Králové, 210 km from Olomouc, in 7 hours 45 minutes with an average speed of 80 km/h. At what time and how far from Olomouc will they - Tree height
Calculate the height of the tree - data - from a distance of 41 m at an angle of 15 degrees. I will see it in its entirety. - Two unknowns
Determine x, y: x + y = 10 x: y = 10 - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; Trapezoid ABCD has the following dimensions: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diag - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Diamond angles
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond. - Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - Water drainage
1000 l of water will drain in one outflow in 4 hours. How many hours will it take for 3 drains to empty 9000 l? - Acres
For two hours, 24 students harvested chestnuts on 36 acres. How many square meters are harvested by one student per hour? - Clock hands
How many times less would the hour hand per week describe if it was as long as the minute hand?
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