Examples for secondary school students - page 35 of 237
Number of problems found: 4730
- Novelist JV
The French novelist Jules Verne wrote a novel in which the idea was expressed of sending to the moon a large cannon shell with a human crew inside. The cannon barrel, from which the shell was fired, had a length of 220 m. a) How long would the shell move - 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. - Hexagon circle radius
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? - Arithmetic mean deviation 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? - Source failure probability
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). - Product defect independence
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 - Aquarium fish distribution
Mike 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 Mike have in the smallest aquarium? - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
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