Maths practice for 14 year olds - page 351 of 379
Number of problems found: 7577
- Racing track
On the racing track, circling three cars. The first passes one circuit for 19 seconds, the second for 12 seconds, and a third for 9 seconds. a) Calculate the number of seconds since starting to catch all three cars together for the first time again across
- Training
The table contains the tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season, preparing a new training schedule, Tomas Kucera will be able to practice only in the morning. Sisters K
- 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
- 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
- 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.
- 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?
- 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 2009 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have?
- Znojmo
From Znojmo to Brno, the truck with a trailer started at an average speed of 53 km per hour. Against him, 14 minutes later from Brno started the car with an average speed of 1.2-times greater than the truck. How long and how far from Znojmo do they meet i
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