Maths practice for 12-year-olds - page 43 of 352
Number of problems found: 7033
- 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? - 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? - 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? - 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? - Pillar 4
The pillar is 10 meters high. The edge is 90 cm. How many bricks are needed to build it? 1 brick has a volume of 1.2 dm³. - How much 17
How many euros more will Mrs. Eva have if she increases her savings of €2,400 in the ratio 7 : 5? - In a forest meadow
The students planted 280 spruces and 60 pines on forest traps. Express the ratio of the number of planted pines to the number of planted spruces in the smallest possible natural numbers. - Water lily
The father placed 4 containers with water lilies in the built pond. The containers had the shape of a cylinder with a diameter of 55 cm and a height of 27 cm. How many liters are all the water lily containers? - Round up - fountain
A fountain, which is cylindrical in shape with a base diameter of 2m, is 25cm deep. How many liters of water can it hold? Round the result to a whole number. - Iron rod
What is the mass of a cylindrical iron rod with a length a = 9 m and a diameter d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms, and round to the nearest whole number. - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number. - Store - silo
A cylindrical silo (d = 4 m, h = 8 m) is about 70% full. How many m³ of silage are stored in it? Round the result to a whole number. - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the feed last?
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