Maths practice for 12-year-olds - page 339 of 347
Number of problems found: 6923
- 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 - 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? - Area 4gon
Calculate the area of a parallelogram with two pairs of equal parallel sides of lengths 18 and 9, and interior angles of 45°, 135°,45°, 135°. - Trains for people
Trains are often associated with delays. Calculate the average travel speed of a train on a 85 km route if the scheduled departure is 7:00 and arrival is 8:18, but the train is delayed — departing at 8:10 and arriving at 9:27. - Christmas
Calculate how much of the school year (206 days long) take Christmas holidays 19 days long. Answer write as a decimal number and as a percentage. - 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 - Four pupils
Four pupils divided 765 euro so that the second received 50% less than the first, the third received 1/2 euro less than the fourth, and the fourth received 50 euro less than the first. How much did each of them receive? - 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? - Arc
The arc of a circle corresponding to a central angle of 357° is 18 dm long. What is the circumference of the entire circle? - 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? - Radius
Determine the radius of a circle whose circumference and area are numerically equal. - Trapezoid
In a right-angled trapezoid, are the diagonals perpendicular to each other, and do they bisect the angles? - Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m - Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist? - Wire D
A wire of length 6 m is bent to form the perimeter of a semicircle (including the diameter). Determine the radius of the semicircle. - Right isosceles
Calculate the area of an isosceles right triangle whose perimeter is 26 cm. - One sixth
How many sixths are two-thirds?
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