Maths practice for 11-year-olds. - page 216 of 222
Number of problems found: 4421
- Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get? - Clock
What time is now if the time elapsed afternoon is 1/2 of time that elapses before midnight? - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A.D. Thanks to an admirer who described his life through an algebraic riddle, we know at least something about it. Diophantus's youth lasted 1/6 of - Brick weight
The brick weighs 5 kg and a half-brick. How much does one brick weigh? - Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in the ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration? - Three cats
If three cats eat three mice in three minutes, after what time will 70 cats eat 70 mice? - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares. - Elections
The elections attended a total of 1450 voters. First-day 48 men more than women, the second-day 16 women more than men. How many women attended elections? - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Hens
13 hens are eating spilled grain, which is estimated to last from 6 AM to 4 PM. At 11 o'clock, grandmother brought 5 more hens from the neighbours. At what time was all the grain eaten? - Camp
In a class there are 28 children. During the holidays, 20 children went to summer camp and 13 children went on holiday with their parents. Find the minimum and maximum number of children who could have gone both to summer camp and on holiday with their pa - Motion problem
One car travels from Martina to Levíc at 89 km/h. Another car travels from Levíc to Martina at 71 km/h. How many minutes before they meet will the two cars be 29 km apart? - Ravens
In the tale of the Seven Ravens, there were seven brothers, each born exactly 4 years after the previous one. When the eldest was 4 times older than the youngest, their mother put a curse on all of them. How old were the seven brothers when their mother c - Windows
Calculate the area of masonry needed to build a wall measuring 18 m × 5 m that has 3 windows each measuring 51 cm × 51 cm. - Class
When Pythagoras was asked how many students attended his school, he replied: "Half of the students study mathematics, a quarter study music, a seventh remain silent, and there are three girls." How many students did Pythagoras have at his school? - Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station? - Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica, which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group - Peroxide
How many litres of distilled water must a pharmacist add to 300 ml of 32.7% hydrogen peroxide solution to obtain a 2.8% gargling solution? - Camp
Children are at a summer camp. 1/2 of them went on a trip, 1/5 went swimming, and 33 children remained in the room. How many children are at the camp? - Intersections
How many intersection points do two circles with radii 16 mm and 15 mm have if the distance between their centres is 16 mm?
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