Quadratic Equations Practice 3: Word Problems And Error Analysis

Practise focused skills from Quadratic Equations

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Model and Solve · 5 questionsSection B: Validate and Analyse · 5 questions

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Section A: Model and Solve

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

The product of two consecutive positive integers is $56$ . If the smaller integer is $x$ , which equation is formed?

Topic: Equation Formation · Skill: Form quadratic equations from word problems

Question 2

MediumQuestion

A rectangular field has length $x+8$ m and breadth $x$ m. Its area is $240$ m². Which equation is correct?

Topic: Equation Formation · Skill: Form quadratic equations from word problems

Question 3

MediumQuestion

The product of two consecutive positive integers is $72$ . What are the integers?

Topic: Word Problems · Skill: Solve daily-life quadratic problems

Question 4

AdvancedQuestion

A garden is $6$ m longer than it is wide and has area $135$ m². What is its width?

Topic: Word Problems · Skill: Solve daily-life quadratic problems

Question 5

MediumQuestion

Solving a length problem gives roots $x=8$ and $x=-5$ . Which root should be used?

Topic: Root Selection · Skill: Reject invalid contextual roots

What this assignment covers

Form and solve quadratic equations in context, select valid roots and repair common errors.

Skills and sections

Form quadratic equations from word problems, Solve daily-life quadratic problems, Reject invalid contextual roots, Check quadratic solutions, Choose factorisation or formula appropriately

Section A: Model and Solve: 5 questions
Section B: Validate and Analyse: 5 questions