Maths practice for 14 year olds - page 333 of 362
Number of problems found: 7226
- Deposit 3
After a year, Martin had a bank account € 1559. What was the interest rate when the initial deposit was € 1409? - Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Angle
A straight line p given by the equation y = (-8)/(3) x (+)76. Calculate the size of the angle in degrees between line p and y-axis. - Nuts, girl and boys
Milena collected fallen nuts and called a bunch of boys to let them share. She took a condition: the first boy takes one nut and a tenth of the rest, the second takes two nuts and a tenth new rest, the third takes three nuts and a tenth new rest, and so o - Unknown number
An unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • The difference between the first and second prime numbers is half the difference between the third and second prime - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Trousers
Jerry bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jerry's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jerry's high. - Gold coin
The gold coin contains 966 permille pure gold, which is 8.7 g. What is the weight of the coin in grams? - Dealer
Dealer sells digital camera for € 747. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and reduced its sales price by 11 %. How much percent of the new price now is the dealer's profit? Round the resul - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - 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. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Two diggers
There are two diggers. One digger digs a pit 77 hours per second, digging 1.2 times faster. a) how long did digging a pit with a second digger take? b) how long did it take to dig together? - Snowman 2
On the medal, which has the shape of a circle with a diameter 39 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (per mille, parts per thousand). - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon.
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