Equations practice problems - page 165 of 250
Number of problems found: 4997
- Washing Powder Duration
Andrew found that three-quarters of a bag of washing powder was used up by his family in 12 weeks. How many more weeks will the remaining powder last? How long does a whole bag of washing powder last? - The sides
The sides of a rectangle are in the ratio 3:5, and its perimeter is 72 cm. Calculate: a) the lengths of both sides of the rectangle, b) the area of the rectangle, c) the length of the diagonals. - The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river? - Sphere equation
Find the equation of a sphere whose centre lies on the line defined by 3x + 2z = 0 and 4x − 5y = 0, and which passes through the points (0, −2, −4) and (2, −1, 1). - Mothers and Benches Puzzle
When the mothers sat down on the benches at the Christmas gazebo, only one mother sat on the last bench. When the six of them sat down, one mother remained standing. How many mothers were there on the gazebo, and how many benches could they sit on? - Bus Route Length
The long-distance bus driver went 2/5 of the route length in the morning and 1/3 of this length in the afternoon. He still has 60 km to the finish. How long is the long-distance bus route? - Mother and Child Age
A mother is 21 years older than a child. In 6 years, the mother will be five times more than the child. Question: Where's Dad? - Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers - Number with ones
The first digit of the number is 1. If we move this digit to the end, we get three times the higher number. What is the number? - Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard? - Students Travel to School
How do pupils travel to school? 2/7 uses a trolley bus, 1/5 drives, and the remaining 136 pupils walk. How many pupils are there at school? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Two trains
There were 159 freight wagons at the railway station creating two trains. One had 15 more wagons than the other. How many wagons did each train have? - Birthday
A mother bought 21 desserts for her daughter Mira's birthday. One type of dessert cost 9 CZK and the other cost 12 CZK. She paid 213 CZK in total. How many of each type did she buy? - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Candies Initially Present
George ate 1/6 of the candies, with ten sweets left. How many candies were there in total? - Pupil age
I am a primary school pupil, and I spent 1/4 of my age on parents' exercise with children, 1/3 on drawing, and 1/6 on flute. I did not have a ring for the first three years of my life and never went to two rings at once. How old am I? - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Dividing - fractions
11/4, what will we divide to get 11/12? - Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re
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