Math practice for 13 year olds - page 348 of 357
Number of problems found: 7130
- 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
- Arc
The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle?
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
- 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?
- 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 $n1 cows graze meadow for $d1 days and $n2 cows by $d2 days. How many cows graze the meadow for $d3 days?
- Divisors
Find all divisors of number 432. How many are there?
- Motion2
The cyclist started off town at 25 km/h. The car started after 1.9 hours behind him in the same direction. It caught up with him for 55 minutes. How fast and how long did the car run from the city to catch cyclists?
- 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 1 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
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
- Gimli Glider
Aircraft Boeing 767 lose both engines at 35000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 2100 feet and maintain constant speed 201 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
- Triangle TBC
TBC is an isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone.
- Discount
The product has been discounted twice by 14%. What is the total discount given?
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