Examples for secondary school students - page 176 of 237
Number of problems found: 4730
- 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. - Number calculation
12% of x is 58 more than (6²) +5. Determine x. - Geometric progression
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 - Brother ages
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. - Geometric progression
Find the third term and the quotient GP if a2 = -3, a1 + a2 = -2.5 - Root relationship
Dana and Julia'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 Julia has. - Arithmetic progression
Determine the sum of the second and fifth AP members if a1 = -4.12, d = -0.7 - Exponent value
Determine x if 27^x = 1/3 - Two girl's numbers
Dagmar and Julka had numbers. Dagmar's number was equal to the square root of Julka's number. The sum of Dagmar's and Julka's numbers equals 84. Find what number Dagmar and Julka had. - Geometric Progression Terms
Determine the third and fourth member of GP if q = -0.6 and a1 + a2 = -0.2 - Money ratio
Milo and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milo have to give to Dalibor so their payments were 1:4? - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Quotient Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1.6, and a1-a2=2.4.
- Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Threesome
Dana, Dalibor, and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Find out how old Dana, Dalibor, and Michael are. - Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno. - Cleaners
Miles would clean the room in 2.5 hours, and Eric would take 10 hours. How long would it take them to clean the room together? - Determine AP
Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
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