Maths practice for 14 year olds - page 307 of 312
Number of problems found: 6238
- 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?
- Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed? - Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Trigonometry
Is true equality? sin(x +13 π)= sin(x) - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - Gold wire
From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm³?
- Energy saving
They released three different independent inventions saving 15%, 17%, and 16% energy. Some considered that with the use of these inventions, the total savings would be 15% + 17% + 16% = 48%. Is this true? How much will the percent of energy save all three - The angle of lines
Calculate the angle of two lines y=2x+29 and y=-3x+1 - Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse. - Secret number
Find the secret number n, which reversed decreases by 16.4 if the number increases by 16.4. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
