Grade - math word problems - page 105 of 942
Number of problems found: 18839
- 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?
- Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin and has coordinates (0,0) and point B has coordinates (1,0). The size of angle BOA is 151°. Determine the x-coordinate of point A.
- Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter in 14 weeks. They used the cream together for four weeks, then only the daughter used it. How many more weeks did her cream last?
- Padded 2
How many square meters are needed to make 40 pieces of wooden padded equilateral triangles with sides of 30 cm and heights of 26 cm?
- Fountain
Around a circular fountain with a diameter of 2m, there is a 0.5m wide strip of land for planting roses. How many m² of land do roses occupy?
- Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?
- Red bouquet
A third of the flowers in the bouquet are red, six are yellow. How many flowers are there in the bouquet? And how many are red?
- Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter?
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