Maths practice for 14 year olds - page 364 of 370
Number of problems found: 7400
- Line
Is it true that the lines that do not intersect are parallel? - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is changed to square with the same perimeter? - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 29 cm, 16 cm, and 21 cm. - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π. - Sphere
The sphere's surface is 27100 cm², and the weight is 117.8 kg. What is its density? - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z? - Diofant equation In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Meridian
What is the distance (length) of the Earth's meridian 41° when the radius of the Earth is 6370 km? - Euler problem
Someone buys 720 tolars towels. If it were for the same money of 6 more towels, it would be 6 tolars cheaper each. How many towels were there? - Rectangular field
One dimension of the rectangular field is 168 m greater than the second dimension. If each side of the rectangle increases by 9 m increases, the surface field is 2187 m². Find dimensions of the field. - Root
Use the law of square roots: cbrt (sqrt[2] (sqrt[4] (6))) = sqrt[n] (6) - Quadratic equation
Determine the numbers b and c that the numbers x1 = -8 and x2 = -1 were roots of the quadratic equation: -3x ² + b x + c = 0 - Rates
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 4.2 € (regardless of consumption) rate B - which pays 0.351 € per 1 m³ of gas a flat monthly fee of 10.1 € From what monthly co - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Center traverse
Does the middle traverse indeed bisect the triangle? - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
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