Quadratic equation - practice for 14 year olds - page 6 of 10
Number of problems found: 199
- 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 - 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 workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
- Calculate 5619
Jana had to calculate 70 tasks, and if she had solved two more daily tasks than she had planned, she would have finished four days earlier. How many days did she have to calculate the tasks? - Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Unknown variable
Find the number x, which if it increases by 2, then its square increases by 21 percent. - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
- Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides? - Parallelogram 5027
Calculate the area of the parallelogram if the side sizes are a = 80, b = 60, and the size of the diagonal angle is 60°. - Equation: 4816
Solve the equation: 1/c - 3/(2c) = 3/4 - Trapezoid 15
The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4
- Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Everyone 4572
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x. - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be 7/2 times older than he. How old are Richard and his mom? - Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
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