Maths practice for 14 year olds - page 286 of 362

Number of problems found: 7230

Beetles and spiders
The collector of beetles and spiders had ten creatures in a box. There were a total of 72 legs in the box. How many beetles and how many spiders?
Goals scored
Jarda scored 18 goals more than Karel. They scored a total of 86 goals. How many goals did Jarda achieve, and how many did Karel score?
Mushrooms
Eve and Jane collected 114 mushrooms together. Eve found twice as many as Jane. How many mushrooms did each of them find?
Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A.
Inequality with fraction
(1 + 3x) / (x-2)> 3
Cylinder:
Cylinder: calculate the height of a 3-liter cylindrical pot with a diameter of 10 cm.
Gingerbread sharing
Johnny and Mary ate 36 gingerbreads together. Johnny ate 14 more gingerbread. How many gingerbreads did Mary eat? How much did Johnny eat?
Money distribution
Adam, Boris, and Cyril have 21 CZK in total. Adam and Boris together have 11 CZK, and Boris and Cyril together have 13 CZK. How much does each of them have?
Playing match
Romania played a match against Canada. Canada won the duel by six goals. They scored a total of ten goals in the game. Find the number of goals scored by Romania.
Tournament goals
Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals.
Chimney - view angle
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53°. Calculate the chimney height and the result round to whole decimeters.
Book sales
The Harry Potter book was released in the second quarter, and 6,000 copies were sold in this quarter. In the third quarter, it sold 8% more and in the fourth quarter it sold 15% more than in the third quarter. How many Harry Potter books have been sold by
Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm.
Vector magnitudes
Determine the magnitude of the vectors u = (2,4) and v = (-3,3)
TV original price
The TV cost € 420 after a 9% discount. How much did he cost before the discount?
Cube diagonals
A cube has an edge length of 5 cm. Draw its different diagonals.
Ant
An ant crawls on the coordinate system always parallel to the coordinate axes. Yesterday it started its journey in the point with coordinates 0. It went 20 squares along the x-axis, made a left turn and went again 20 squares. Again it made a left turn and
SMS time
Smith and Wyatt are leaving from a joint vacation. They agreed that when they were 100 km apart, they would text each other. Smith drives at 60 km/h and Wyatt at 90 km/h. They left at 2:00 PM (14:00). What time do they text each other?
Parallelogram diagonals
One side of the parallelogram is 5 cm. Can it have 3 cm and 6 cm diagonals?
Percentage calculations
Calculate to two decimal places. What percentage is: a / 15min from 4 h b / 35 cm² of 12.5 dm² c / 2 dm² of 400 cm² d / 0.2 l of 2.2 l

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