Math practice for 13 year olds - page 86 of 414
Number of problems found: 8262
- Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Glass box packing
The merchant ordered 200 glasses, and the order was confirmed with the fact that he will receive 41 in rabic, packed in 4 and 6 pieces. How many boxes of 4 and how many boxes of 6? - Nikola number difference
Nicole had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum? - Prism volume edge
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Motorcycle truck pursuit
A motorcycle travels at a speed of 116 km/h, and a truck at a speed of 88 km/h. At what time will the motorcyclist reach the truck if, at 7:00 AM, the truck is ahead of him by 56 km? - Parallelogram diagonal construction
Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals. - Triangle similarity area
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Apprentice cost reduction
The apprentice came to his master with an improvement proposal, and with better work organization, we will reduce costs by 45% this year, 30% next year, and 25% the following year. The production won't cost us anything. Has the apprentice received a rewar - Triangle perimeter similarity
Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm. - Maple model shadow
In the camp, the children made a mock-up of the campsite. In its center was a maple, which had a height of 28 cm on the model. Calculate the height of the maple in the campsite if, in the morning, it casts a shadow 14 m long and its model has a shadow 49 - Cylinder volume calculation
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Quadrilateral perimeter angles
Quadrilateral ABCD has side lengths AB=13 cm, CD=3 cm, AD=4 cm. Angles ACB and ADC are right angles. Calculate the perimeter of quadrilateral ABCD. - Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Percentage thirty-seven forty-nine
Calculate what percentage is €37 from €49. - Aquarium volume half
Paul has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium? - Bear weight percentage
The bear weighed 410 kg at the beginning of winter and lost 10 percent during hibernation. He gained 10 percent of his weight from spring to fall. Find out if the bear's weight was greater at the beginning of winter or autumn by what percentage. - Cooker efficiency testing
When testing the effectiveness of an electric cooker with data of 220 V, 1200 W, 1 kg of water at a temperature of 15 degrees Celsius was boiled for 8.5 minutes. Calculate the stove efficiency corresponding to these data - Percentage twelve sixty Calculate what percentage is 12€ of 60€.
- Current wire resistance
The current I = 4 A branches into three wires with resistances R1 = 2Ώ, R2 = 5Ώ, R3 = 10Ώ. Calculate the total resistance of the connection and the voltage of the source. How big are the currents in each wire? - Current in the bulb
The bulb is rated 6 V, 0.2 A. Determine the current rating of the bulb.
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