Maths practice for 12-year-olds - page 45 of 354
Number of problems found: 7066
- Segments 6
Express the ratio of 1 cm to 1 m. - Competitor 2
In a race, 1/12 of the competitors finished ahead of me and 7/8 of the competitors finished behind me. How many of us ran in total? - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice? - A quarter of the trees
There were 48 apple, pear, and plum trees in a garden. A third of the trees were apple trees and a quarter were pear trees. How many plum trees were there? - Reduced - rectangles
The dimensions of a rectangle are a = 42 cm and b = 91 cm. Determine the perimeter and area of the rectangle after it is scaled down in the ratio 6:7 compared to the original. - Segment - ratio
Calculate the length of a new segment created by scaling 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 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 the ratio 3:2. How much will we now pay for a dining set (6 chairs and a table) if a chair originally cost €44 and the table €232? - Salaries - inflation
Dad's salary was increased in the ratio 5:4. His original salary was €880. What is his salary now? - Princess 2
A very overweight princess weighed 168 kg on 5 October. By 10 November, her weight had changed in the ratio 7:4. How much did she weigh on 10 November? Did she gain or lose weight? - Padded 2
How many square metres of material are needed to make 40 equilateral triangular wooden pads with sides of 30 cm and a height of 26 cm? - Fountain
Around a circular fountain with a diameter of 2 m, there is a 0.5 m wide strip of land for planting roses. How many m² of land do the roses occupy? - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Red bouquet
A third of the flowers in a bouquet are red, and six are yellow. How many flowers are there in the bouquet in total? How many are red? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - How much 17
How many more euros will Mrs. Eve 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 plots. Express the ratio of the number of planted pines to the number of planted spruces as the smallest possible natural numbers. - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest whole number. - Iron rod
What is the mass of a cylindrical iron rod with a length of a = 9 m and a diameter of 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 the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number.
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