FREE 1 Week Trial 🏆 11+ Exam Tuition - Maths, English, VR and NVR 😍 Book Now! FREE Session 🏆 11+ Exam Comprehension - Vocabulary Masterclass 😍 BOOK NOW! 😍 Free Webinar 🏆 11+ Exam 6 Month Preparation Plan | 😍 3rd March | Register Here 😍 Book Now 🏆 11+ Exam Sunday Tuition - Maths, English, VR & NVR 😍 Get FREE 11+ Past Papers 🏆 FREE 11+ Geometry Masterclass 😍 Limited Seats 😍 BOOK NOW ! 🏆 Book Now 🏆 11+ Exam Sunday Tuition - Maths, English, VR & NVR 😍 Get FREE 11+ Past Papers
PiAcademy-Practice-Papers-and-Expert-Tuition-7-11-13-SATs-and-GCSE-Logo
Exam Papers
11+ Courses
New
11+ Tuition
Videos
Mock Exams
Pre 11+
7+ Maths and English Solved Past Papers with Answers Menu7+ Maths Topicwise Questions with Answers Menu8 Plus 9 Plus 10 Plus Maths and English Solved Past Papers Menu8+ 9+ 10+ Maths Topicwise Questions with Answers Menu
11+ Papers
Hot
11 Plus Maths Solved Past Papers with Detailed Answers Menu11 Plus Maths Topicwise Questions with Detailed Answers Menu11 Plus English Past Papers with Answers Menu11 Plus Verbal Reasoning Practice Papers with Answers Menu11 Plus Non-verbal Reasoning Practice Papers with Answers Menu11 Plus Practice Papers with Answers Menu11 Plus SPaG Practice Papers with Answers Menu11 Plus Vocabulary Test Papers with Answers Menu11 Plus Comprehension Test Papers with Answers MenuEnglish Creative Writings with Hints and Model Answers Menu11 Plus Literary Devices Test Papers Menu11 Plus Daily Challenging Questions with Answers Menu11+ Interview Guide Questions with Answers Menu11 Plus Exam Revision and Practice Menu
13+ Papers
13+ Maths Solved Past Papers with Answers Menu13+ Maths Topicwise Questions with Answers Menu13+ English Past Papers with Answers MenuEnglish Creative Writings with Hints and Model Answers Menu13 Plus Maths Scholarship Solved Past Papers with Answers Menu13+ Maths Scholarship Topicwise Questions with Answers Menu13 Plus English Scholarship Solved Past Papers with Answers Menu13 Plus Biology Past and Scholarship Papers with Answers Menu 01
Pre-Tests
CAT4 Practice Tests Online MenuUKiSET Practice Tests Online Menu
Year 1 to 6
Year 3 Maths Assessments with Detailed Answers MenuYear 4 Maths Assessments with Detailed Answers MenuYear 5 Maths Assessments with Detailed Answers MenuKS1 SATs Maths and SPaG Practice Papers with Answers MenuKS1 SATs Maths Topicwise Questions with Answers MenuKS2 SATs Maths and SPaG Practice Papers with Answers MenuKS2 SATs Maths Topicwise Questions with Answers Menu
GCSE
New
GCSE Maths Solved Past Papers with Detailed Answers MenuGCSE Maths Topicwise Questions with Answers MenuAQA GCSE English Past Papers with Detailed Answers TopbarEdexcel gcse english past and predicted papers 03GCSE Biology Past Papers with Detailed Answers TopbarGCSE Revision Courses Menu
Reviews
GCSE Solved Topic Wise Questions
  • 5,000+ Topicwise Questions & Answers Included
  • Best for 11+ Grammar & Independent School Exams
  • Improve Speed, Accuracy & Time Management
1 Year
Full Access
5,000+
Topicwise Questions
120+
Solved Past Papers

GCSE Cubic Equations Questions and Answers

Question
Answer
Question 26 - Edexcel GCSE Foundation 2020 Past Paper 3 - Algebra, Algebraic Equations, Cubic Equations, Cubic and Reciprocal Graphs, Sketching Graphs Question By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
3 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 05 - Edexcel GCSE Higher 2020 Past Paper 2 - Algebra,Cubic Equations Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
4 min
Use Calculator:
Yes
Question
Answer
Question 07 - OCR GCSE Foundation Sample Paper 1 - Numbers, Multiplication and Division Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Easy
Solve in:
2 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 23 - AQA GCSE Foundation Specimen Paper 1 - Algebra, Algebraic Equations, Cubic Equations, Substitution Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
2 min
Use Calculator:
No
Question
Answer
Question 13 - OCR GCSE Higher Sample Paper 4 - Algebra, Algebraic Formulae Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Hard
Solve in:
3 min
Use Calculator:
Yes
Question
Answer

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
3 min
Use Calculator:
No
Question
Answer
Question 17 R - OCR Higher Maths Past Paper 5 June 2018

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
5 min
Use Calculator:
No
Question
Answer
Question 09 - OCR GCSE Higher 2018 Past Paper 6 - Algebra, Algebraic Equations Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Hard
Solve in:
6 min
Use Calculator:
Yes
Question
Answer

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
4 min
Use Calculator:
No
Question
Answer
Question 18 - OCR GCSE Higher 2019 Past Paper 6 - Geometry and Measures, 3D Shapes Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Easy
Solve in:
3 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 29 - AQA GCSE Higher Maths Speicmen Paper 3

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
2 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 20 - AQA GCSE Higher Specimen Paper 1 - Geometry and Measures, Volume & Surface Area, Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
2 min 30 sec
Use Calculator:
No
Question
Answer
Question 06 - AQA GCSE Higher Specimen Paper 1 - Algebra, Algebraic Equations Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
2 min
Use Calculator:
No
Question
Answer

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Medium
Solve in:
2 min 30 sec
Use Calculator:
Yes
Question
Answer

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Hard
Solve in:
4 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 15 - Edexcel GCSE Higher 2017 Past Paper 3 - Algebra, Cubic Equations Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Hard
Solve in:
4 min 30 sec
Use Calculator:
Yes
Question
Answer
Question 19 - Edexcel GCSE Higher 2019 Past Paper 3 - Algebra, Algebraic Equations Questions By Topic

These detailed solutions are visible only for premium members

Please register to unlock over 135+ GCSE Maths Solved Past & Predicted Papers. 5,000+ Topicwise Questions with Step by Step Solutions

 

Register

 

Login

Difficulty Level:
Hard
Solve in:
4 min
Use Calculator:
Yes
Cubic Equations - GCSE Exam

1. What are cubic equations?

Algebraic equations in which the highest power of the variable is 3 are called cubic equations.

For example:- y = x³ + 5x - 3, 2x³ + 3 = 0, y = 7x³ - x are all cubic equations. The simplest example of a cubic equation is y = x³.

2. What are cubic curves and their characteristics?

The graphs produced by cubic equations are called cubic curves. Cubic curves have two main shapes depending on the coefficient of x³.

GCSE Topicwise Cubic Equations Article Image 01

GCSE Topicwise Cubic Equations Article Image 02

Important points to remember for cubic curves:-

  1. The basic shape of the graph is determined by the highest power of the variable.
  2. Sign of the highest power (x³) determines the orientation of the graph.
  3. Putting x = 0 in the equation gives you the y-intercept.
  4. A cubic graph may have one, two, or three x-intercepts. When the equation is in the factored form (for example y = (x + a)(x + b)(x + c)), you can let y = 0 to get the x-intercepts.
  5. The points where the curve turns are the points where the gradients of the curve are zero. [to learn that please refer to the gradient of curves]

Example 1:

The graph of y = x³ - 4x - 4 is shown below.

The root of the equation x³ - 4x - 4 = 0 is p.

GCSE Topicwise Cubic Equations Article Image 03

    a) Calculate y when x = 2.

    b) Show that 2 < p < 3

    c) Find the smaller interval that contains the value of p.

GCSE Topicwise Cubic Equations Article Image 04

Example 2:

(x + b)(x - 8)(x + 5) = ax³ + cx² + dx - 80

Find the values of a, b, c and d.

GCSE Topicwise Cubic Equations Article Image 05

Quiz Questions
GCSE Topicwise Cubic Equations Article Quiz Image

GCSE Topics

  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
  • Statistical Measures (5)
  • Numbers (1,084)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

    © 2014 - 2024 PiAcademy Limited, All Rights Reserved

    calendar-fullcrossmenu
    >
    linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram