Maths practice for 14 year olds - page 355 of 361
Number of problems found: 7215
- Money
Everyone complains about a lack of money. In reality, there is no shortage of money — only a relative scarcity of goods and services. By what percentage would the prices of all goods and services immediately rise if everyone suddenly had 9 times more mone - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Octagon
We have a square with side 56 cm. We cut the corners to create a regular octagon. What is the side length 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 arc length of the Earth's meridian corresponding to 41° if the radius of the Earth is 6370 km? - Euler problem
Someone buys a number of towels for a total of 720 tolars. If for the same amount of money they could buy 6 more towels, each towel would be 6 tolars cheaper. How many towels were originally bought? - Rectangular field
One dimension of a rectangular field is 168 m greater than the other. When each side is increased by 9 m, the area of the field becomes 2187 m². Find the 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 a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Center traverse
Does the midsegment of a triangle bisect its area? - Diagonals of the rhombus
Calculate the height of a 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? - Pipes
A water pipe has a cross-section of 1903 cm². In one hour, 859 m³ of water flows through it. How much water flows through a pipe with a cross-section of 300 cm² in 11 hours, if the water flows at the same speed? - Chord
In a circle with radius r = 60 cm, there is a chord that is 4 times longer than its distance from the centre. What is the length of the chord? - Trigonometry
Is true equality? sin(x +13 π)= sin(x) - Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm.
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