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Year 9 Foundation Maths Test Papers with Answers and Working Outs PDF

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- revision help -

13/02/2023

Maths

Year 9 assesment 1 : foundation

Year 9 Foundation Maths Test Papers with Answers and Working Outs PDF

The Year 9 foundation assessment is a comprehensive 45-minute mathematics test covering various topics. It includes 13 questions worth a total of 46 marks, designed to assess students' understanding of key mathematical concepts and problem-solving skills. The assessment covers areas such as coordinates, equations, inequalities, linear graphs, and geometry.

...

13/02/2023

282

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 2: Coordinate Geometry and Equation Solving

This page focuses on coordinate geometry and basic equation solving, key components of the Year 9 Foundation Maths test:

Question 1 tests understanding of the coordinate system:

  • Identifying coordinates of a given point
  • Plotting a point given its coordinates
  • Drawing a vertical line with a specific x-coordinate

Question 2 involves solving a word problem using algebraic thinking:

  • Translating a verbal description into a mathematical equation
  • Solving the equation to find the original number

Example: For Question 2, the solution process is: 2x - 10 = 50, 2x = 60, x = 30. Freya thought of the number 30.

Vocabulary: "Coordinates" are ordered pairs of numbers that specify a point's position on a coordinate plane.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 3: Equation Solving

This page continues with more advanced equation solving, a crucial skill for the Year 9 Maths test Papers with answers pdf NON calculator section:

  • Question 3 covers solving various types of equations: a) Equations with like terms t+t+t=12t + t + t = 12 b) Simple linear equations x2=6x - 2 = 6 c) Two-step equations 6w+2=206w + 2 = 20 d) Equations involving brackets 3(x+23(x+2 = 45)
  • Question 4 asks students to identify and explain a mistake in someone else's working, testing deeper understanding of algebraic processes.

Highlight: The ability to spot and explain errors in mathematical reasoning is a higher-order skill that demonstrates true mastery of the concept.

Example: In Question 4, Mr Rahman's mistake was adding 3 and 2 instead of multiplying them when expanding the bracket.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 4: Inequalities and Linear Equations

This page covers inequalities and linear equations, essential topics in the Year 9 Foundation Maths test:

  • Question 5 asks students to represent an inequality on a number line.
  • Question 6 involves solving a linear inequality 5n+3>275n + 3 > 27.
  • Question 7 tests understanding of the components of a linear equation y=2x+3y = 2x + 3: a) Identifying the gradient b) Identifying the y-intercept

Vocabulary: The "gradient" is the slope of a line, representing how steep it is.

Definition: The "y-intercept" is the point where a line crosses the y-axis.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 5: Linear Equations and Graphical Representation

This page focuses on interpreting linear equations and their graphical representations, key skills for the Year 9 Maths Revision booklet pdf:

  • Question 8 asks students to identify components of a given linear equation y=34xy = 3 - 4x.
  • Question 9 involves interpreting a real-world graph representing electricity costs: a) Calculating the gradient of the line b) Explaining what the gradient represents in context

Highlight: The gradient in the electricity cost graph represents the cost per unit of electricity, demonstrating how mathematical concepts apply to real-world scenarios.

Example: To calculate the gradient, students should use the formula: change in y ÷ change in x.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 6: Advanced Linear Equations

This page deals with more complex aspects of linear equations, preparing students for higher-level GCSE Maths problem solving questions and answers PDF:

  • Question 10 requires students to find the equation of a given line on a graph.
  • Question 11 asks students to find the equation of a line with a given gradient passing through a specific point.

Vocabulary: The "equation of a line" is a mathematical expression that describes all points on that line.

Example: For Question 11, the solution process involves using the point-slope form of a line equation: y - y₁ = mxx1x - x₁, where m is the gradient and x1,y1x₁, y₁ is the given point.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 7: Graphing Linear Equations

This page focuses on graphing linear equations, an important skill tested in Year 9 Maths test papers with answers free:

  • Question 12 requires students to draw the graph of y = 2x - 3 for x values from -2 to 2.

Highlight: Accurate plotting of points and drawing a straight line through them is crucial for this question.

Example: To graph the equation, students should create a table of x and y values, plot the points, and connect them with a straight line.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

View

Page 8: Geometry and Trigonometry

The final page introduces basic trigonometry, preparing students for more advanced topics in Year 9 end of Year Maths test PDF:

  • Question 13 involves solving for unknown angles in a right-angled triangle using the fact that angles in a triangle sum to 180°.

Vocabulary: A "right-angled triangle" is a triangle with one 90-degree angle.

Example: The solution involves setting up an equation: 90 + 7x + 5x + 18 = 180, then solving for x to find the smallest angle.

This comprehensive assessment covers a wide range of mathematical concepts, providing an excellent preparation for future GCSE Maths studies.

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Year 9 Foundation Maths Test Papers with Answers and Working Outs PDF

user profile picture

- revision help -

@xrevisiontipsandtricksx

The Year 9 foundation assessmentis a comprehensive 45-minute mathematics test covering various topics. It includes 13 questions worth a total of 46 marks, designed to assess students' understanding of key mathematical concepts and problem-solving skills. The assessment covers areas... Show more

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Coordinate Geometry and Equation Solving

This page focuses on coordinate geometry and basic equation solving, key components of the Year 9 Foundation Maths test:

Question 1 tests understanding of the coordinate system:

  • Identifying coordinates of a given point
  • Plotting a point given its coordinates
  • Drawing a vertical line with a specific x-coordinate

Question 2 involves solving a word problem using algebraic thinking:

  • Translating a verbal description into a mathematical equation
  • Solving the equation to find the original number

Example: For Question 2, the solution process is: 2x - 10 = 50, 2x = 60, x = 30. Freya thought of the number 30.

Vocabulary: "Coordinates" are ordered pairs of numbers that specify a point's position on a coordinate plane.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Equation Solving

This page continues with more advanced equation solving, a crucial skill for the Year 9 Maths test Papers with answers pdf NON calculator section:

  • Question 3 covers solving various types of equations: a) Equations with like terms t+t+t=12t + t + t = 12 b) Simple linear equations x2=6x - 2 = 6 c) Two-step equations 6w+2=206w + 2 = 20 d) Equations involving brackets 3(x+23(x+2 = 45)
  • Question 4 asks students to identify and explain a mistake in someone else's working, testing deeper understanding of algebraic processes.

Highlight: The ability to spot and explain errors in mathematical reasoning is a higher-order skill that demonstrates true mastery of the concept.

Example: In Question 4, Mr Rahman's mistake was adding 3 and 2 instead of multiplying them when expanding the bracket.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Page 4: Inequalities and Linear Equations

This page covers inequalities and linear equations, essential topics in the Year 9 Foundation Maths test:

  • Question 5 asks students to represent an inequality on a number line.
  • Question 6 involves solving a linear inequality 5n+3>275n + 3 > 27.
  • Question 7 tests understanding of the components of a linear equation y=2x+3y = 2x + 3: a) Identifying the gradient b) Identifying the y-intercept

Vocabulary: The "gradient" is the slope of a line, representing how steep it is.

Definition: The "y-intercept" is the point where a line crosses the y-axis.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 5: Linear Equations and Graphical Representation

This page focuses on interpreting linear equations and their graphical representations, key skills for the Year 9 Maths Revision booklet pdf:

  • Question 8 asks students to identify components of a given linear equation y=34xy = 3 - 4x.
  • Question 9 involves interpreting a real-world graph representing electricity costs: a) Calculating the gradient of the line b) Explaining what the gradient represents in context

Highlight: The gradient in the electricity cost graph represents the cost per unit of electricity, demonstrating how mathematical concepts apply to real-world scenarios.

Example: To calculate the gradient, students should use the formula: change in y ÷ change in x.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Page 6: Advanced Linear Equations

This page deals with more complex aspects of linear equations, preparing students for higher-level GCSE Maths problem solving questions and answers PDF:

  • Question 10 requires students to find the equation of a given line on a graph.
  • Question 11 asks students to find the equation of a line with a given gradient passing through a specific point.

Vocabulary: The "equation of a line" is a mathematical expression that describes all points on that line.

Example: For Question 11, the solution process involves using the point-slope form of a line equation: y - y₁ = mxx1x - x₁, where m is the gradient and x1,y1x₁, y₁ is the given point.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 7: Graphing Linear Equations

This page focuses on graphing linear equations, an important skill tested in Year 9 Maths test papers with answers free:

  • Question 12 requires students to draw the graph of y = 2x - 3 for x values from -2 to 2.

Highlight: Accurate plotting of points and drawing a straight line through them is crucial for this question.

Example: To graph the equation, students should create a table of x and y values, plot the points, and connect them with a straight line.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Page 8: Geometry and Trigonometry

The final page introduces basic trigonometry, preparing students for more advanced topics in Year 9 end of Year Maths test PDF:

  • Question 13 involves solving for unknown angles in a right-angled triangle using the fact that angles in a triangle sum to 180°.

Vocabulary: A "right-angled triangle" is a triangle with one 90-degree angle.

Example: The solution involves setting up an equation: 90 + 7x + 5x + 18 = 180, then solving for x to find the smallest angle.

This comprehensive assessment covers a wide range of mathematical concepts, providing an excellent preparation for future GCSE Maths studies.

K
Year 9 Assessment 1
Foundation
Instructions
●
●
●
Information
.
●
●
●
●
.
Advice
nfort d'écri
riting comf
The time for the test is 45 Minu

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Instructions and Information

This page provides essential guidelines for the Year 9 Maths Test with answers pdf:

  • The test duration is 45 minutes.
  • All questions must be answered.
  • Calculators are permitted.
  • The total mark for the paper is 46.
  • Marks for each question are shown to guide time management.
  • Students should read questions carefully, keep track of time, and attempt all questions.
  • Most marks are awarded for methods, so showing work is crucial for questions worth more than 2 marks.

Highlight: Calculators are allowed for all questions, which is important for students to note when preparing for the test.

Definition: "Methods" refer to the step-by-step process used to solve a problem, not just the final answer.

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This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

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Sudenaz Ocak

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In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

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I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user