Examples for secondary school students - page 28 of 237
Number of problems found: 4730
- Object final velocity
The object has a speed of 25 m/s and accelerates 5.0 m/s² for 250 meters. What is the final velocity? - Potato harvesting
Due to a large potato harvest this year, the farm bought a new, more powerful sorter in addition to the old one. With both machines running simultaneously, the daily harvest is processed in 12 hours. If only the old machine were used, it would need 10 mor - Milk fat skimming
The dairy produces semi-skimmed milk (with 1.5% fat content) by skimming part of the fat from full-fat milk (with 4% fat content). 1 ton of semi-skimmed milk is produced from how many kilograms of fat milk? - Family height statistics
The average height of a member of a family of five is 1.5 m, the mode of their height is 1.2 m and the median is 1.6 m. Find out the heights of individual members of this family if you know that they are integers in dm. - Triangle height vertices
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3]. - Profit distribution workers
We have a profit of 40000e, and the work took 30 days. The first worker is promised 38% of the profit but only works for 15 days, the second worker is promised 33% of the profit and works for 20 days, and the third is promised 28% of the profit and works - Line parametric equation
Convert the parametric expression of the straight line to a general equation. x=3-5t y=-4+10t - Javelin throwers
Javelin throwers Anna and Barbora have average throw lengths of 67 m and 75 m, respectively, and standard deviations of 6 m and 3 m, respectively. Assume that the throw lengths have independent normal distributions. Calculate the probability that Anna thr - Saving problem
We want to save €25,000. We deposit €3,000 annually, and the interest is 4.4% (interest tax is 19%). How many years do we have to save? - Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Distribution if the IQ
Assume that the IQ in the population follows a normal distribution with a mean of 100 points and a standard deviation of 10 points. With what probability among 15 randomly selected people: a. Is there anyone with an IQ above 130 points? b. Are there at le - Body glycerol volume
They will calculate the volume of a body that stretches the force gauge in the air with a force of 80 N. After immersion in glycerol with a density of 12 kg. m-3 is a load cell stretched by a force of 30 N. - Scalar products
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; b . c = 3 - Interest rate months Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months.
- Bacteria hourly increase
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours? - Triangle Euclid parameters
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Geometric sequence sum
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Trainee triangular wedge
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - Eight-member team
We play a golf tournament where 4 pairs from team A will always play against 4 pairs from team B. Each team thus has in total 8 members. We tried to find out how many possible combinations there are of 4 playing groups, where in each there are 2 pairs – f - Deposit double years The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double?
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