Maths practice for 14 year olds - page 315 of 321
Number of problems found: 6405
- Gauss
Help little C.F. Gauss sum all the integers from 1 to 400.
- 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 16 cm, 20 cm, and 15 cm.
- Money
Everyone complains about the lack of money. There is no shortage of money but a relative scarcity of goods and things people buy for the money. Calculate what percentage of the price of all goods and services immediately rose if everyone has the day-to-da
- Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 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 15° when the radius of the Earth is 6370 km?
- Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many towels were there?
- 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 = -7 and x2 = 5 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 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m³ of gas a flat monthly fee of 12.5 € 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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