Examples for secondary school students - page 33 of 212
Number of problems found: 4231
- Staircase
On a staircase 3.6 meters high, the number of steps would increase by three if the height of one step decreased by 4 cm. How high are the stairs? - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Geese and piglets
There were geese and piglets in the yard. Jane calculated that they have a total of 20 heads and 64 legs. How many geese and how many piglets were in the yard? - Circus
At the circus performance were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Pooja
Pooja and Deepa's age is 4:5, and four years back, it was 8:11. What is the age of Pooja now? - Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Diofant equation
250x + 120y = 5640 - Square root 2
If the square root of 3m² +22 and -x = 0, and x=7, what is m? - Expression with powers
If x-1/x=5, find the value of x4+1/x4 - Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful? - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas. - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Q of GP
Calculate the quotient of geometric progression if a1=5 and a1+a2=12. - Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - Determine AP
Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
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