Examples for secondary school students - page 175 of 237
Number of problems found: 4730
- Exponent value
Determine what number equals z in the expression 3^z = 1/243 - Geometric progression
Determine the third, fourth, and fifth GP members if a1 = -0.5 with q = -4. - Exponent value
Determine what y equals in the expression 5^y = 1/25 - Geometric progression
Determine the ratio of the first and second GP members if q = -0.3 and a3 = 5.4. - Mean
The mean of 50 items for a student's food is 38.6. When checking the work, he found that he had taken one item as 50 to read as 40 correctly in these circumstances. What should the correct arithmetic mean? - Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - Money distribution
Dennis has 43% more money than Damian, and Zuzana has 12% less money than Damian. They have a total of 165 euros and 50 cents. Determine how much money Dennis, Damian, and Zuzana have. - Exponent value
Calculate the value of y: 3^y = 0.333 - Arithmetic progression
Determine the second term and the difference AP if a3 = 5 and a1 + a3 = 16. - Money distribution
Dano and Juraj have a total of 120 euros. Juraj has 40% less money than Daniel. Determine how much money Daniel and Juraj have. - Q of GP Calculate the quotient of geometric progression if a1=5 and a1+a2=12.
- Geometric progression Determine the quotient and the second GP member if a3 = -5, a2 + a3 = -7
- Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Cube surfaces ratio
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Stolen amounts
X + Y = 31835 X is the amount stolen by 1,2 and 3 Y is the amount stolen by 4 and 5 1. stole half of X, 2. half the rest and 3 more on top of that 3. stole 6801.5 4. He stole 1/9 of Y, which is 513 5. He stole the rest - Money
Peter has 2x more money than Michael. However, if Peter gave Michael € 16, Michael would have 3.5 times more money than Peter. Find how much money was initially sent from Peter and how much Michael. - Equation with abs
Solve this equation with absolute value member: |3(3x-1)|=8 - Sides ratio
Calculate the circumference of a triangle with an area of 84 cm² if a:b:c = 10:17:21 - Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width.
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