Maths practice for 14 year olds - page 292 of 316
Number of problems found: 6315
- Loan
If you take a bank loan of $ 11000 and want to repay it after the year, you must pay the total amount of $ 11242. What is the annual interest rate on this loan?
- Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
- Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals.
- Football league
The 2nd football league plays each of the 16 participants with each opponent twice. Every victory gets 3 points, 1 point for a draw, a defeat, or none. After the competition, the team had 54 points and 12 defeats at 9th place. How many times has the team
- Two typists
Two typists are rewriting the material of 814 pages. The first can rewrite yourself for 24 days and the second 12 for days. The first typist wrote material yourself 4 days rest rewrites yourself second typist. How many days will it take to rewrite altoget
- Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the
- Cone and the ratio
The rotational cone has a height of 43 cm, and the ratio of the base surface to the lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.
- Logik game
Letter game Logik is a two-player game that has the following rules: 1. The first player thinks five-letter word in which no letter is not repeated. 2. The second player writes a five-letter word. 3. The first player answers two numbers. The first number
- Quadrilateral
In the square ABCD point, P is in the middle of the DC side, and point Q is in the middle of side AD. If the area of quadrilateral BQPC is 76 cm², what is the area of ABCD?
- Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues
- Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail?
- Suzan
My daughter reaches X years in X squared, said Susan's father in 2009 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have?
- Cars 2
Opava is 360 km distance from Prešov. At 9:00 hour, two cars started against each other from these cities at average speeds 69 km/h and 79 km/h. What hour will it meet, and what distance will it travel if the car starts from Prešov faster?
- Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m.
- Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto
- Cars
Cars started at 7:00 AM. From point A, the car runs at 40 km per hour, and from B, the car runs at 70 km per hour. Between A and B is a 250 km long road. When and where will they meet (measured from point A)?
- Divisors
The sum of all divisors unknown odd number is 2112. Determine the sum of all divisors of a number that is twice unknown numbers.
- Exam average
The average of marks that have on the certificates students of 8A class in mathematics is exactly 2.45. If we did not add 1 and 3 of students Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class
- BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all-
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