Math practice for 13 year olds - page 161 of 413
Number of problems found: 8260
- 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? - Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction? - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface. - Cleaning agent ratio
According to the instructions, you need to add two and a half scoops of ecological cleaning agent to 10 liters of water. The measuring cup is a cap with a volume of 50 ml. Determine the ratio in which this agent is mixed with water. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Girl pupil percentage
Of the total number of pupils in the class, 65% are boys. How many percent of the girls are? - Brigade work distribution
Hansel and Ferek brigade together. They divided the work in a ratio of 4:6. Frank was paid 24 euros. How many euros did they earn together?
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