Maths practice for 14 year olds - page 275 of 375
Number of problems found: 7492
- In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died - Block volume
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Family members ages
The son, mother, and father are 96 years old. A mother is 23 years older than her son and five years younger than his father. How old is a son? - System equations
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11 - Number property
Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number? - Electricity consumption cost
Last year, Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago? - There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Trapezoid 15
The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4 - Card drawing
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the - Steamer
At 6 hours 40 minutes, the steamer sailed from the port at a speed of 12 km/h. At exactly 10 hours, the motorboat started to sail at 42 km/h. When will the motorboat catch steamer? - Lock combinations
Please calculate the possibility of combining three numbers, where each number can be from 0 to 9. For example, the number of combinations on the suitcase is equipped with close to three digits. - Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Pizza promotion
Thirty football players came to the pizzeria. A pizza order promotion is going on right now: "If you order 2 pizzas, get the third one free". The football players ordered so many pizzas that each one missed 1 pizza. How many pizzas did they pay for if the - Divisible by five
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? We can repeat the digits in the created number. - Pure silver
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width.
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