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Number of problems found: 213

Competitor 2
In the race, 1 twelfth of the competitors finished ahead of me and 7 eighths of the competitors finished behind me. How many of us ran?
Ice rink
A rectangular rink measuring 15m and 20m long needs to be covered with a layer of ice 4.5cm high. How many liters of water are needed to create ice?
A quarter of the trees
There were 48 apple, pear, and plum trees growing in the garden. A third of the trees were apple trees and a quarter were pear trees. How many plum trees were there in the garden?
Calculate
A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
Mirror
The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall?
Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees
Reduced - rectangles
The dimensions of the rectangle are a = 42 cm, and b = 91cm. Determine the perimeter and area of the rectangle, which is reduced in size compared to the original rectangle in the ratio 6:7.
Segment - ratio
Calculate the size of the new segment that is created by changing the segment CD = 12 cm in the ratio 4 : 3.
Price increase
As part of a packaging innovation, the price of mineral water, which previously cost €0.68, was changed in the ratio of 11:8. How much will we pay for a bottle of mineral water now?
New Year's price increase
After the New Year, the prices of goods changed in a ratio of 3 : 2. How much will we now pay for a dining set (6 chairs and a table), if the chair originally cost €44 and the table €232?
Salaries - inflation
Dad's salary was increased by 5:4. His original salary was 880€. What is his salary now?
Anna had 2
Anna had 2x more than Betka. Cilka had 12 euros more than Anna. Together, they had 92 euros. How much did each have?
Princess 2
The fat princess weighed 168kg on October 5. By November 10, her weight had changed in the ratio of 7:4. How much did she weigh on November 10? Did she gain or lose weight?

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