Examples for secondary school students - page 194 of 237
Number of problems found: 4730
- Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal? - Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5. - Three numbers
What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8. - Pyramid 8
Calculate the volume and the surface area of a regular quadrilateral pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? - 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume. - Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15 cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD? - Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo - Maximize profit
The manufacturer is deciding whether to carry out a check on his products or to ship the products without check and in case of a defective product to repair it at his expense within the warranty. At the time of the decision about the introduction of outpu - Bicycle sales
A buyer for a department store estimates that the number of mountain bicycles sold during the summer season will range between 40 and 90 with the distribution - number of bicycles sold - 40, 50, 60, 70, 80, 90 with the probability of sale - 0.05, 0.15, 0. - Quality tester
Imagine that you are a quality manager on a production line assembling electrical appliances. Printed circuits are mounted into the appliances, and the functionality of the product depends on their flawlessness. The line is equipped with a tester - a cont - Owner of the company
The company's owner, with extensive administrative activity, wants to sell the obsolete three machines at the price of CZK 1000 per 1 machine with a six-month warranty period. If the machine breaks down during this period, the owner will return the employ - Truncated pyramid
How many cubic metres is the volume of a regular quadrilateral truncated pyramid with base edges of one metre and 60 cm and a height of 250 mm? - Sequence members
Determine the first nine members of the sequence if a 10 = -8, q = -1. - Sequence members
Determine the first seven members of the sequence if a8 = 12, d = 1 - Joint-stock company
In a joint-stock company workers were employed, divided into two categories according to the degree of automation of the production processes. In the workshop with a low degree of automation of production processes worked 25% of all workers, and in this d - Probability of connection with repeated attempts
A secretary at company A is calling the switchboard at company B during peak phone line traffic, when the probability that the line will not be busy is 0.25. She repeats individual connection attempts every few minutes until she is connected to the switch - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - AP - basics
Determine the first member and differentiate the following sequence: a3-a5=24 a4-2a5=61 - Sequence - 5 members
Write the first five members of the sequence a_n =(3n - (-1)^n) +2
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