Equations practice problems - page 81 of 249
Number of problems found: 4965
- Carpet floor area
The carpet covers 8 m² of flooring, which is one-third of the entire floor area. How big is the whole floor? - The farmer
The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence? - Wagon press weight
They shipped a press from the factory. The wagon with the press weighed 18 tons. The empty wagon is twice as heavy as the press. How many tons does the press weigh? - Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction? - Tourist route
Tourists covered 15% of their route on the first day and a fifth of the remainder on the second day. They still had 34 km left to go. How many kilometres did they travel on the second day? - MO Z7-II-1 2020
Dragons and cyclops live on a fairy-tale island. All dragons are red, three-headed, and two-legged. All cyclops are brown, one-headed, and two-legged. Cyclops have one eye in the middle of their forehead; dragons have two eyes on each head. The cyclops an - Apple harvest
A father would pick all the apples on his own in 8 days. After he had worked alone for 2 days, his son joined him, and they finished the remaining picking together in 4 more days. How long would it take the son to pick all the apples on his own? - At the beginning 3
At the beginning of motion, a car was going at a speed of 120 km/h and kept this speed for the first 11 seconds. Then it began to accelerate further such that every second it accelerated by 6 km/h until it reached a speed of 150 km/h. Then it began to dec - Milk cream
They used a quarter of the imported milk to make butter, half to make a cream, and 100 liters to make cottage cheese at the dairy. How many liters of milk was used to make the cream? - Mushrooms
Mr. Mushar collected mushrooms. One-fifth he gave to neighbors, one-third to dry, and divided the remaining mushrooms into three equal parts: himself, son, and daughter. Daughter Dominika got 42. How many mushrooms did he collect in total, and how many mu - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number. - The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10 cm. - The truncated The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
- Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Number multiplication puzzle
I think the number. When I multiply it by four, subtract 12 from the product, then divide the difference by five, and I get the imaginary number again to the share of 4. What number do I think? - Exam average
Jane has to pass ten exams in a year. So far, she has made six and has an average of 2.5. What average must she reach from the remaining tests for her overall average for the year to be 2? - Ring The Bell
Lucy and David challenged each other at the "Ring The Bell" game. David scored 120 points, although Lucy and David scored 235 points. How many points did Lucy score? Draw a diagram and equation to represent this situation. Use 'L' as the missing var. - Fraction of a Number
Suppose 1/2 of 1/3 of 1/4 of 1/5 of a number is 2.5. What is the number? - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base. - A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap
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