Maths practice for 14 year olds - page 62 of 361
Number of problems found: 7217
- Triangle similarity decision
Decide whether the triangles are similar. Choose between Yes/No. ∆ YUO: y= 9 m, u= 17 m, o= 12 m, ∆ ZXV= z= 207 dm, x= 341 dm, v= 394 dm - Archaeologists
Archaeologists need to find out the size of the vessel if the sherd found was in the shape of a circular section with a length of 12 cm and a height of 3 cm. What is the area of this section? - Perpendicular roads
Two roads meet at a right angle. On one road there is place P at 5 km from the intersection, on the other road there is place R at 12 km from the intersection. Places P and R are connected by a direct path. A pedestrian goes from place R to place P along - Function definition field
Determine the definition fields of functions: y=4/x (written as a fraction) - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse? - Identical loaves of bread
If the clerk at the buffet bought 15 identical loaves of bread, she would have 5 euros left in her wallet. If she bought 3 loaves of bread less, she would have 8.60 euros left. How many euros did she have in her wallet? - Power fraction expression
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2 - Car intersection speed Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other?
- Novak neighbor income
Mr. Smith earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Smith. What is the monthly income of Mr. Smith? - Number arithmetic mean
A set of numbers 5,8,13,15,17,19 is given. What number should be added so that the arithmetic mean is 16? - Machine particles
Since the start of the shift, 1,260 parts have already been produced on the press. This fulfilled 3/7 (three sevenths) of the daily plan. How many parts does the press still have to produce when the plan is to be fulfilled at 105%? - Five-digit digit probability
What is the probability that each digit is different in a five-digit number? - Room plan area
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm². Determine the actual area of the room in square meters. - Cactus violet sales
At the flower festival, young growers sold cactus plants for CZK 12 and indoor violet plants for CZK 9. They sold a total of 47 pieces of flowers of both types and received CZK 501. How many cacti and how many violets did they sell? - Seawater salt evaporation
Seawater contains 3.4% salt. How much salt do we get by evaporating 25 kg of seawater, and how much water evaporates? - Sugar cube beet
A cube of sugar weighs 6 grams. How many sugar cubes are produced from one sugar beet that weighs 0.9 kg; if its sugar content is 18 percent? - Tourist distance time
The tourist walked 1/4 of the way at a speed of 4.5 km/h, 2/5 at a speed of 4 km/h, and the remaining 7 km at a speed of 5 km/h. How many kilometers did he run, and how long did the journey take him? Calculate the time in a fraction. - In the dairy 2
In a dairy they have two lines for filling milk cartons. The more modern line is one and a half times faster than the old line. When both lines work simultaneously, they fill the usual daily amount of milk cartons 5 hours earlier than when only the old li - Calculation - mesh
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer).
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