Examples for secondary school students - page 72 of 230
Number of problems found: 4586
- The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
- Linear combination of complex
If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
- Rotary cylinder
In the rotary cylinder, it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height.
- Two years
Roy deposited 50,000.00 into his account, which pays 4% annual interest compounded semi-annually. How much interest is there after two years?
- The gems
The jeweler selects four gems for the ring: rubies, emeralds, and sapphires. How many options does he have?
- Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have?
- Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup?
- Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm.
- Admission 38691
In one HA class, there were 8 more pupils in the first group than in the second group. After the admission of two new pupils to each of the groups, there were twice as many pupils in the 1st group as in the 2nd group. How many pupils were there in each gr
- Two grandmothers
Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied
- Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm
- Free fall
How long and at what speed does the body fall to the ground during a free fall from a height of 35 m?
- Participants
Of the 48 participants, six were women, fewer than men, and 24 were children, less than all adults. Calculate the percentage of all participants on the tour who are children.
- Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6?
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°.
- Separated 38223
What is the intensity of the electric field at a point that lies in the middle between two point charges Q1 = 5.10-5 C and Q2 = 7.10-5 C, which is separated by r = 20 cm? The charges are placed in a vacuum.
- Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds.
- Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
- Different 38123
How many ways can we put seven different books on the shelf?
- Starting 38113
How many ways can we put 19 students in a row when starting a gym?
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