Maths practice for 14 year olds - page 358 of 368
Number of problems found: 7354
- Radians
Convert 90° to radians. Write the result as a multiple of the number π. - Discount
The ladies' sweater was twice discounted. First, it will be calculated by 8%, then by 8% of the new price. Its final price was 66 €. Determine the sweater's original price. - Permill
How many permills is 1141 from 98313? - Four pupils
Four pupils divided euro 765 so that the second received 50% less than the first, the third 1/2 less than a fourth, and the fourth euro 50 less than the first. How much money had each of them? - Motion
From two different locations, the distance 232 km started against the car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers did the bus take - Vinegar
We must dilute 36 liters of 9.1% aqueous vinegar to 4.5% one. How much water is necessary to add? - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Described
Calculate the perimeter of the circle described by a triangle with sides 82, 495, 438. - Radius
Determine the circle's radius if its perimeter and area are the same numbers. - Trapezoid
Are diagonals in a rectangular trapezoid perpendicular and 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 you easily prove Pythagoras' theorem using 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 number 432. How many are there? - Movement
Two cyclists (each on a different road) started from the crossing of two perpendicular roads. One runs at an average speed of 16 km/h, and the second 25 km/h. Determine the distance between them after 20 minutes of cycling. - Wire D
Wire length 6 m is bent to form a semicircle circuit (including the diameter). Determine the radius of the semicircle. - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps? - Estate
Semicircle estate must be a fence. The straight section has a 32 meters long fence. How many meters of the fence should we buy? - Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
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