Maths practice for 14 year olds - page 356 of 362
Number of problems found: 7232
- 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. - Gold wire
A wire of length 1.4 km was drawn from one gram of gold. What is its diameter if the density of gold is ρ = 19.5 g/cm³? - Energy saving
Three independent inventions were released, each saving 15%, 17%, and 16% of energy respectively. Some people assumed that using all three would save 15% + 17% + 16% = 48% of energy. Is this correct? What is the actual total percentage of energy saved by - Bulbs
A box contains 16 bulbs of 75 W, 14 bulbs of 40 W, and 10 bulbs of 50 W. Calculate the probability that a randomly selected bulb is: a) 40 W b) 75 W or 40 W - The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
