Quadratic equation word problems worksheet with answers pdf

Question 1.
A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?
Solution

Question 2.
Determine two consecutive negative even integers whose product is 24?
Solution

Question 3
A rectangle has a length that is 2 less than 3 times the width. If the area of this rectangle is 16, find the dimensions and the perimeter.
Solution

Question 4
The difference of two number is 2 and product of them is 224.Find the Numbers
Solution

Question 5
X and Y working together can complete a certain project is 6 days. If X alone works on the project, He will take 5 days less than Y to complete. Find days required for X and Y to complete the project alone?
Solution

Question 6
A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Solution

Question 7
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides
Solution

Question 8
Find the value of k for which the roots of the quadratic equation are equal
Solution

Question 9
The numerator of a fraction is 3 less than its denominator . If 2 is added to both the numerator and its denominator, the sum of the new fraction and original fraction is 29/20. Find the original fraction
Solution

Question 10
To fill a swimming pool two pipes are used if the pipe of larger diameter used for 4 hour and the pipe of a smaller diameter for 9 hours only half of the pool can be filled .find how much long it would take for each pipe to fill the pool separately if the pool of a smaller diameter takes 10 hour more than the pool of larger diameter to fill the pool?
Solution

Question 11
Five times of a positive integer is less than twice its square by 3. Find the integer.
Solution

Question 12
Determine the positive values of P for which equation $x^2+2px+64=0$ and $x^2-8x+2p=0$ will both have real roots
Solution

Question 13
If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her actually age. What is her age now?
Solution

Question 14
The sum of the squares of the two consecutive multiples of 7 is 637, find the multiples?
Solution

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Also Read

Notes
- Quadratic Polynomial
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- Factoring quadratics equations
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- Solving quadratic equations by completing the square
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- Solving quadratic equations by using Quadratic formula
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- Quadratic word problems
- Quadratic Equation Cheat sheet
Assignments
- Quadratic Problem and Solutions
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- Quadratic word problems Worksheet
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- quadratic formula worksheet
NCERT Solutions
- NCERT Solutions Quadratic Equation Exercise 4.2
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- NCERT Solutions Quadratic Equation Exercise 4.2
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- NCERT Solutions Quadratic Equation Exercise 4.3
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- NCERT Solutions Quadratic Equation Exercise 4.4

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Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20

In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.

In the quadratic equations word problems, the equations wouldn't be given directly. In fact, you have to deduct the equation from the given facts within the equations. It can also include profit maximization or loss minimization questions in which you have to find either minimum or maximum value of the equation.