Maths practice for 14 year olds - page 264 of 321
Number of problems found: 6406
- Reduced 2989
They reduced the price of the board by 25% after the season. How much does it cost now if they cost 333 euros after the season?
- Tmp workers
Three temporary workers cleaned 60 m of the walkway in 5 hours. How many meters of the walkway were cleared by seven volunteers for eight hours?
- Olympics metals
How many ways can one win six athletes' medal positions in the Olympics? Metal color matters.
- Train expres
At 8.00, the express Tatry started from Bratislava to Poprad. Cities are distant, 340 kilometers. At the same time, it started from Poprad Express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad
- Three piles
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How
- Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm.
- Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m.
- Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle.
- Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures.
- Roses
In a large bed of roses, one-sixth were white, half were red, one-quarter were yellow, and six were pink. How many roses were in the flower bed?
- Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters?
- Truncated cone
A truncated cone has bases with 40 cm and 10 cm radiuses and a height of 25 cm. Calculate its surface area and volume.
- Drying apples
By drying, apples lose 85% of their weight. How many kgs of dried apples are from 820 kilograms of fresh apples?
- Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume.
- Percentage and rectangle
What percentage increases the perimeter and area of a rectangle if both sides are 12 cm and 10 cm long, and we increase it by 20%?
- Trapezium ABCD
The figure shows ABDC is a trapezium in which AB || CD. Line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN, and LM. angle D=angle C=60
- Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm.
- Percent
Calculate how much % is the number 26.25 less than the number 105.
- Unknown number
Determine the unknown number, which doubles its fourth square and is equal to the fifth square.
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