Examples for secondary school students - page 33 of 231

Number of problems found: 4606

Combinations 80637
If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there?
Acceleration 80626
The car stopped at an initial speed of 90 km/h on a track of 62.5 m. What was its acceleration, and how long did it take to brake the car?
Teacher's ages
The ages of the 10 teachers of a School are 32, 41, 67, 55, 23, 25, 28,40, 22, 35. Find out the range of the age of teachers.
Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius.
Alternating circuit
In an alternating circuit, the total voltage V is given by V=V1 +V2 If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2.
In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point?
Characteristics: 80608
Arithmetic mean xA=40 and standard deviation sx=8 were calculated. Determine from which numbers the student calculated the given characteristics: a) 24 and 56 b) 16 and 64 c) 32 and 48
A light bulb
We want to connect a 2.5 V, 0.3 A light bulb to a flat battery. How much resistance and how do we need to connect to the light bulb?
The ratio 9
The ratio of the present age of Raul and Rohit is 5:7. Four years ago, Rohit age is 12 more than Raul's age. Then find their present age.
L Hospital's rule
Use L Hospital's rule to solve (i) Lim x²+5x-14/x²-5x+6 X—>2 (ii)Lim x³+x²-x-1/x²-2x-3 X—>3
A current
A current of 0.1 A flows in the branch with a resistance of 5 ohms. In the second branch, a current of 0.2 A. Calculate: a) what is the resistance of the second branch, b) to what voltage was the circuit connected?
Ohms
Two resistors of 6 ohms and 8 ohms are connected in parallel to a flat battery U=4.5 V. Calculate: a) the total current, b) the current in the branches.
Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors.
Decelerated projectile
A projectile was weighing 20 g shoots at a speed of 800 m/s being dug 100 mm deep into the masonry. How long does it brake in masonry assuming uniformly decelerated motion?
Probability 80560
I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown
Number line
Find a number on the number line whose distance from the number 3 is four times smaller than from the number 15 (specify both solutions).
Simultaneously 80530
The product has a 10% probability of an appearance defect, a 6% probability of a functional deficiency, and a 3% probability of both defects simultaneously. Are the random events A - the product has an appearance defect and B - the product has a functiona
Unit resistance
What is the resistance of a two-conductor line 10 m long made of 4.0 mm² aluminum wire?
Mechanical energy
A stone with a mass of 2 kg falls in free fall from a tower with a height of 80 m. What is its kinetic energy, and what is its potential energy: a) At the beginning of the fall, b) In 1 s from the beginning of the fall, c) Upon impact, d) What is its mech
Aquariums 80526
Mirko has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mirko have in the smallest aquarium?

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