Examples for secondary school students - page 163 of 230
Number of problems found: 4586
- Baskets of apples
Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Educational trails
From point A to point C, an educational trail passes through point B and a red tourist sign; see the picture. In addition, an undrawn abbreviation 1500 meters long, starting at A and ending on the nature trail, can be used. Vojtech found that • the trip f - The swing
To swing the two girls. Aneta weighs 45 kg and Simon 35 kg weight. How far should Simon sit from the middle of the swing so it is balanced if we know that Aneta is sitting at a distance of 1,5m? How far are girls sitting apart? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Determinant 4137
The determinant of matrix A has the value 2. What will be the value of the inverse matrix determinant to matrix A? - Determine 4132
Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - Consecutive 4122
The sum of four consecutive natural numbers is 90. Determine these numbers. - Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Chestnuts 4119
Two pupils handed in 161 kg of chestnuts in the hunting lodge. The first student handed in 9 kilograms more than the second student. How many kilos of chestnuts did each give? - Dimensions 4118
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area. - Different 4117
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Determine 4113
Determine the sum of an infinite series: 1/3 + 1/9 + 1/27 + 1/81 ... - Diameter 4111
How many balls with a diameter of 3.25 cm with a mixture in a circle with a diameter of 27 cm? - Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each of the two forces. - Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - Difference - two complex
Determine the difference between two complex numbers: 3i²-3i4
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