Math practice for 13 year olds - page 161 of 414
Number of problems found: 8280
- Trapezoid complete
Calculate side b and the height of the trapezoid if a = 5.1 cm; c = 6.8 cm; d = 4.7 cm; circumference is 21 cm, and the area is 17.85 cm². - 3 shirts
Three shirts for $35 Two hats and a shirt for $20 Which system of equations can be used to find s, the cost of one, and h, the cost of one hat? - Trapezoidal prism surface
The prism with a trapezoidal base has the dimensions of the base a = 10 cm, b = d = 5 cm, c = 6 cm, the trapezoid height is 4.6 cm, and the height of the prism is 30 cm. Calculate its surface. - Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the perimeter of this rhombus? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Granite ball
The granite ball has a diameter of 80 cm. The mass of 1 m³ of granite is 2900 kg. What is the mass of the ball? - Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think? - The carpenters
The carpenters cut the beam. Half of the cut pieces were 1 meter long, a quarter of the pieces were two meters long, and they cut the remaining 8 meters of the beam into two equal parts. - What was the length of the original beam? - What part of the origi - Vineyard spraying time
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined? - Price reduction percentage
By what percentage was the product's price reduced, when before the price reduction, it cost CZK 5,200 and after the price reduction CZK 3,640? - Parking lot vehicles
Three hundred and fifty-four cars arrived at a car park in the morning. The number of passenger cars was 5 times the number of vans. How many cars and vans came to the car park? - Right triangle perimeter
Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm. - Karel money puzzle
Carl said to George: If you had 50 Euros less than twice the money I had with me, you would have 10 Euros more than I did. How many Euros did Carl have? - Latent heat
How much heat is needed to take from 100 g of water at 20 °C to cool to the ice at -18 °C? Mass heat capacity c (ice) = 21 kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334 kJ/kg - Number series continuation
Continuation of the number series 9,12,18,27 - Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube? - Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24 cm and the arms have a length b = 13 cm. - Pyramid volume surface
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27 m3 - Wagon press weight
They shipped a press from the factory. The wagon with the press weighed 18 tons. The empty wagon is twice as heavy as the press. How many tons does the press weigh?
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