Examples for secondary school students - page 114 of 237
Number of problems found: 4730
- The business
The business earned CZK 98,400 in the shop in three weeks. Sales were 20% higher in the second week than in the first week. The third week was 10% lower than the second week. How much did the business earn each week? - Chessboard piece placement
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares. - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2 cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Seat
How much m² of fabric do we need to sew a 50 cm-shaped cube-shaped seat if we add 10% of the material to the folds? - Drilling machine
A manufacturing firm purchased a heavy-duty drilling machine. They were given two payment options: Option 1: Make a payment of $46,000 immediately to settle the invoice for the machine. Option 2: Pay $21,500 immediately and the balance of $23,550 in 3 mon - Motorcyclist average speed
The motorcyclist was riding: a) the first half of the driving time at a speed of 30 km/h, the second half of the time at a speed of 60 km/h, b) the track's first half at a speed of 30 km/h and the second half at a speed of 60 km/h. Determine its average s - Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has three children. What is the probability of this family having one child who inher - Natural number pairs
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product. - Cyclist meeting calculation
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)? - Prices
The price of the product was increased by 35%. How much percent of the new price do we have to make it cheaper so that its price is equal to the original price? - The roof
The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues. - Long rope
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Number divisor proof
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Price of cake
Honzík invited a few friends to his home and for refreshments he bought, among other things, 30 cakes of three different kinds. The price of one blueberry cake was 8 crowns, one poppy cake cost one crown more than one curd cake. Poppy cakes were a third, - Set of coordinates
Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded about the domain and range for this relation? A. The domain is the y values of the ordered pairs. B. The range is the set of output v - GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c. - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76 km/h to 130 km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration?
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