Math practice for 13 year olds - page 417 of 428
Number of problems found: 8551
- Area of RT
Calculate the area of a right triangle in which the hypotenuse has length 14 and one of the segments that the altitude creates on the hypotenuse has length 5. - 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. - Work
Workers work five days a week and have 28 days of vacation a year. Calculate how many days is out of work and express it as a percentage. Consider that a year has 52 weeks. - Radians
Convert 90° to radians. Write the result as a multiple of π. - Discount
A ladies' sweater was discounted twice: first by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater. - Permill
How many permills is 1141 from 98313? - 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? - Motion
A car and a bus set off toward each other from two locations 232 km apart. The car started at 7:10 at an average speed of 74 km/h. The bus started at 8:40 at an average speed of 48 km/h. When did they meet? How many kilometres had the bus travelled at the - Vinegar
We need to dilute 36 litres of 9.1% vinegar solution to a 4.5% solution. How much water must be added? - 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 - Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it. - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 35 cows graze meadow for 27 days and 39 cows by 24 days. How many cows graze the meadow for 6 days? - Divisors
Find all divisors of the number 553. How many are there? - 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? - Movement
Two cyclists set off from an intersection of two perpendicular roads, each taking a different road. One travels at an average speed of 16 km/h and the other at 25 km/h. Determine the distance between them after 20 minutes of cycling.
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