Examples for secondary school students - page 52 of 212
Number of problems found: 4239
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11) - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Ace
We pulled out one card from complete sets of playing cards (32 cards). What is the probability of pulling the ace? - MATES
In MATES (Small Television tipping), from 35 random numbers are drawn five winning numbers. How many possible combinations are there? - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - No. of divisors
How many different divisors have number 13 4 * 2 4? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle. - Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c? - Colors
Willie got birthday 6 color pens in different colors. How many ways can he give them side by side in pencil? - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines. - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and perimeter is 388. - Elections
In elections, candidates 10 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes. - Rectangle
The area of a rectangle is 546. Its length is 25 larger than the width. What are the dimensions of the rectangle? - Party
At the party, everyone clinked with everyone. Together, they clink $strng times. How many people were at the party? - 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. - Probability 80857
During the exam, the student answers 4 questions out of 25. He is ready for 20 of them. Find the probability that he draws exactly one that he does not know.
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