Quadratic equation - practice for 14 year olds - page 9 of 10
Number of problems found: 199
- Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period. Back to point A went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Automaker
The automaker now produces daily 4 new cars more than last year, so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles were needed in the previous year? - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes?
- Trains
From station 130 km away started passenger train and after 1.9 hours after the express train, which travels 27 km an hour more. Express train finish journey 5 minutes early. Calculate the average speed of these two trains. - Rectangle - sides
A rectangle has an area 266 cm². The length of the shorter side is 5 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - Column
The vertical pole high $v m tall broke, and its toe fell $x m from the bottom of the pole. At what height above the ground does the pole break? - Tank
In the middle of a cylindrical tank with a bottom diameter of 251 cm is a standing rod that is 13 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
- Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals. - Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number? - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - Short cut
Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go direct across the field?
- Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?
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