Maths practice for 14 year olds - page 264 of 362
Number of problems found: 7230
- Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4) - Function intersection Determine the intersection of functions. a) y = 2x + 3, y = -x + 4 b) y = 3x + 7, y = -2x-3
- Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles. - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Mr and Mrs
Mr. Calda and Mrs. Cald have a total of 139 years. How many years have when we known that Mr. Calda is nine years older than Mrs. Cald? - Traffic collision
When investigating a traffic accident, a policeman found that the driver stopped the vehicle immediately after the accident by constantly braking on a 150 m track in 15 seconds. Do you approve that the driver exceeded the village's permitted speed (50 km/ - Midnight How many hours will it be if the time elapses from 8:00 is equal to 2/5 of the time that will pass until midnight?
- Two pumps filling
A pool with one pump fills in 14 hours and the other in 15 hours. How long will the pool fill when both pumps are used? - Dividing money
Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek is 20% less than Thomas. How many CZK does each get? - Driver
The driver of the supply car reckoned that at the average speed of 72 km/h arrived at the warehouse for 1 1/4 hours. After 30 km, however, he unintentionally drove to the gas station and had ten minutes delay. At what average speed would you have to go th - Trapezoid proof
Trapezoid ABCD with bases AB = a, CD = c has height v. The point S is the center of the arm BC. Prove that the area of the ASD triangle is equal to half the area of the ABCD trapezoid. - Tablet schedule
It is Monday at 10 a.m. Luboš has returned from the doctor, who prescribed him tablets: he will take the first one immediately, the next two days he will take them after six hours, and the rest after eight hours. When will Luboš collect all the tablets if - Pyramid planting
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Tree
Between points A and B is 50 m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree? - Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Forces on earth directions
A force of 60 N [North] and 80 N [East] is exerted on an object weight of 10 kg. What is the acceleration of the object? - Hydrostatic force
What is the hydrostatic force applied to an area of 30 cm² in the water at a depth of 20 m? (Water density is 1000 kg/m3) - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Sphere radius
The surface of the sphere is 60 cm². Calculate its radius; result round to tenth of cm. - Bills count Dad had 33 bills. One hundred crowns, two hundred and five hundred. A two-digit number gave the number of each species. How many did he have if he had a total of 9100 CZK?
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