Examples for secondary school students - page 169 of 230
Number of problems found: 4586
- Q of GP
Calculate the quotient of geometric progression if a1=5 and a1+a2=12. - Determine 3796 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. - Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Amount 3791
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. - Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how much Denis got. - Vegan shop
The shops brought 23.2 kg of goods, fruits, vegetables, and nuts. The fruit was 4.7 kg more than vegetables, and the nuts were 1.5 kilograms less than the fruit. Determine the number of fruits, vegetables, and nuts. - Determine 3769
12% of x is 58 more than (6²) +5. Determine x. - Determine 3763
Determine the first and third GP members if q = -8, and a2 + a5 = 8176 - Dividing money Imrich, Daniel, and Dezider shared an unknown amount in the ratio of 1:2:4, where Dezider received 750 euros more than Imrich, and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amount that got Imrich, Daniel, a
- Methodius 3758
Milan and Methodius are now 70 years old. Seven years ago, Milan was 1.8 times older than Methodius. Determine how old Milan is now and how many Metoděj is. - Determine 3755
Find the third term and the quotient GP if a2 = -3, a1 + a2 = -2.5 - Represents 3753
Dana and Julka's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julka has. - Determine 3751
Determine the sum of the second and fifth AP members if a1 = -4.12, d = -0.7 - Determine 3750
Determine x if 27^x = 1/3
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