Math practice for 13 year olds - page 429 of 434
Number of problems found: 8670
- Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73. - Diamond
Find the side of the diamond if its area is S = 194 cm² and one diagonal u2 = 44 cm. - Lead cube
Calculate the cube's edge made from lead, which weighs 19 kg. The density of lead is 11341 kg/m³. - Pump
What power does a pump output to move 1060 hl of water to a height of 43 m for 8 hours? - The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm. - Chord MN
Chord MN of the circle has distance from the center circle S 120 cm. Angle MSN is 64°. Determine the radius of the circle. - Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters?
- Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors? - Wood in the forest
The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year? - Carbon dioxide
Calculate how many grams of oxygen are in 59 grams of carbon dioxide CO2. The relative atomic mass of oxygen is 16, and of carbon is 12. - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Air mass
What is the weight of the air in a classroom with dimensions 10 m × 3 m × 3 m? The air density is 1.293 kg/m³. - Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel?
- Concrete pipe
The concrete pipe is cylindrical, with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its surface. - Extreme temperatures
The USA hit an extreme heat wave. Calculate the percentage of the air temperature change from normal summer temperature 23 °C to 40 °C. - Magnification of the square
If we increase the square side, increase the area of the 57 %. About what percentage was increased on its side? - The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town. - Circle and angle
What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad?
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