Examples for secondary school students - page 22 of 212
Number of problems found: 4239
- Vector v4
Find the vector v4 perpendicular to the vectors v1 = (1, 1, 1, -1), v2 = (1, 1, -1, 1) and v3 = (0, 0, 1, 1) - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Function 3
Function f(x)=a(x-r)(x-s) the graph of the function has x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s. - Fruits
The shop sells four kinds of fruits. How many ways can we buy three pieces of fruit? - The sum
The sum of the first ten members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2? - Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square. - Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method - Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)! - Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Sum of members
What is the sum of the first two members of the arithmetic progression if d = -4.3 and a3 = 7.5? - Equation with abs
Solve this equation with absolute value member: |3(3x-1)|=8 - Elimination method
Solve the system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - AP - simple
Find the first ten members of the sequence if a11 = 132, d = 3. - AP - simple
Find the first nine elements of sequence if a10 = -1 and d = 4 - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Numbers
Write the smallest three-digit number in divisions 5 and 7, and gives the rest 2. - Five members
Write the first five members of the geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2
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