Maths practice for 14 year olds - page 348 of 375
Number of problems found: 7493
- Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno - 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 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals. - Saw
Blade circular saw with a diameter 42 cm turns 825 times per minute. Express its cutting speed in meters per minute. - Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir. - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. 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? - Password
The voltage station is day changing the master password, which consists of three letters. The code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9 if - 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? - 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 1996 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have? - Soup
54% of pupils at the school eat in the canteen, 1/54 of students who eat in the canteen eat lunch soup. a) What percentage of pupils who eat in the canteen and eat soup for lunch? b) What percentage of all pupils of school eat lunch soup? - Znojmo
From Znojmo to Brno, the truck with a trailer started at an average speed of 52 km per hour. Against him, 11 minutes later from Brno started the car with an average speed of 1.7-times greater than the truck. How long and how far from Znojmo do they meet i - 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 - Divisors
The sum of all divisors unknown odd number is 496. 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
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