Maths practice for 12-year-olds - page 63 of 356
Number of problems found: 7113
- Resort nationality distribution
In the popular Italian resort of Caorle, there are only 4 nationalities. The resort has 3/20 Germans, 2/5 Czechs, 1/4 Austrians, and 500 Brits. How many tourists are there in total at the resort? - Afforestation workers
During afforestation, two workers planted 80 seedlings in 2 hours. At the same output, how many seedlings did 6 workers plant in 5 hours? - Cube edge volume
Calculate the edge of a cube with a volume of 150 cubic cm. - Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35 m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5 m high and 42 m long. - Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2 m, 1.8 m, and 1.5 m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit. - Passenger train
At 9:15 AM, a passenger train passes a station at a speed of 75 km/h. At 10:00 AM, an express train passes through the same station in the same direction at a speed of 120 km/h. Both trains arrive at the same destination station at the same time. a) At wh - In the basket 7
In the basket there are blue, green, purple, and red balls. Tomáš, Peter, and Jakub can distinguish colours but confuse their names. One of them confuses blue colour with green, the second green with purple colour, and the third mistook purple with red. T - Cinema seat probability
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - House rent tax From a rented house worth 1.25 million CZK, the owner will receive an annual rent of 6.5% of the house price. 20% tax applies to the rent. How much CZK will the owner have from the rent per year?
- Small density cube
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³. - Car consumption average
The car consumes up to 16 l in the city, but on a longer trip, the consumption drops to 10 l? 500 km per month in the city and 1650 km outside the city. What is the consumption of a car per 100 km? - Cuboid surface ratio
The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid. - Horse oats consumption
Three horses will eat 36 kg of oats in two days. How many kilograms do 5 horses need for 4 days? Help yourself by adding or subtracting. - Karel Ondra pursuit
Carl went for a walk at a speed of 5 km/h. After 3 hours, Andrew rode after him with an important message at a speed of 20 km/h. How many minutes did it take Andrew to catch up with Carl? - Margaret savings gifts
Margaret bought Christmas presents with a quarter of her savings. How much did she save if the gifts cost CZK 160? Express the rest of the savings as a fraction. - Mercury density measurement
10 ml of mercury has been measured to weigh 0.135 kg. Calculate the density of mercury and compare it with the density shown in the tables. - Multiple smaller nearest
Write the nearest smaller multiple: number 7 to number 23 number 5 to number 19 number 6 to number 23 number 10 to number 79 number 6 to number 41 number 3 to number 28 - Tin body mass
A tin object transferred 150,000 J of heat, and its temperature dropped by 10 °C. Calculate the mass of the tin object. (c of tin is 0.227 kJ/kg. °C). Enter the resulting weight in grams and round it to two decimal places. - Rhombus construction sides
Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method: - Ropeway angle length
The ropeway climbs at an angle of 22°30'. Calculate its length if the height difference between the lower and upper station is 560 m. Sketch a picture
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