Subjects

Maths

Geometry and measure

3-dimensional shapes

Cuboids

Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!

Name: Knowunity
Brand: Knowunity

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Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!

iqra

@iqra_ifso

358 Followers

A comprehensive guide to Year 11 Higher mock exam practice questions covering various mathematical concepts including geometry, algebra, and probability.

The mock exam consists of 12 questions worth 38 marks total, designed to test advanced mathematical skills
Questions range from basic arithmetic to complex geometric theorems and algebraic manipulations
Key topics include strategies for solving cube volume and surface area problems and step-by-step guide to solving simultaneous equations graphically
The exam emphasizes showing all working steps and proper mathematical notation
Questions incorporate real-world applications like holiday pricing and restaurant menu combinations

20/01/2024

1068

O
10
Year 11 Higher
Mock Paper 1
Friday 8th December
Name: Iqra Taimur
Teacher name: Miss Roberts
Total marks
28/38
45 minutes
P75148A
Ⓒ2023

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Question 2: Cube Geometry

This question explores the relationship between surface area and volume of a cube, requiring reverse calculation from surface area to find volume.

Definition: Surface area is the total area of all faces of a 3D shape Vocabulary: Total surface area of a cube = 6x², where x is the length of one edge Example: For a cube with surface area 150cm², the edge length is 5cm and volume is 125cm³

View

Question 3: Set Theory and Probability

This question tests understanding of Venn diagrams and probability concepts using sets of numbers with specific properties.

Definition: A Venn diagram shows relationships between different sets Vocabulary: B' (complement of set B) contains all elements not in set B Example: Odd numbers and square numbers are represented in different regions of the Venn diagram

View

Question 4: Percentage Calculations

This question involves reverse percentage calculations in a real-world context of holiday pricing.

Example: If a 20% increase equals £240, the original price can be calculated by finding 10% (£120) and multiplying by 10 Highlight: Working backwards from the percentage increase to find the original amount

View

Question 5: Simultaneous Equations

This question tests graphical solution of simultaneous equations using line intersections.

Definition: The point of intersection of two lines represents the solution to simultaneous equations Example: The equations 2-2y=x and 2y=3x-22 are solved graphically Highlight: The solution can be verified by substituting coordinates into both equations

View

Question 6: Algebraic Manipulation

This question involves expanding brackets and combining like terms in algebraic expressions.

Vocabulary: Terms with the same variables and powers can be combined Example: (6x²y³)² is expanded using the power rule Highlight: Final answer must be in the form ax^b y^c where a, b, c are integers

View

Question 7: Direct Proportion

This question tests understanding of direct proportion relationships and calculations.

Definition: Direct proportion means y = kx where k is the constant of proportionality Example: Using y = 24 when x = 1.5 to find k, then calculating y when x = 5 Highlight: All working steps must be shown to demonstrate understanding

View

Question 8: Perpendicular Lines

This question explores the relationship between gradients of perpendicular lines.

Definition: Perpendicular lines have gradients that are negative reciprocals of each other Example: If one line has gradient m, the perpendicular line has gradient -1/m Highlight: The solution requires solving equations to find the value of k

View

Question 9: Formula Rearrangement

This question tests ability to make x the subject of a complex formula.

Example: Rearranging y = 4(2x-7)/(5x+3) to isolate x Highlight: Multiple steps of algebraic manipulation required

View

Question 10: Counting Principles

This question involves applying multiplication principle in a restaurant menu context.

Example: 5 starters × 12 main courses × x desserts = 420 combinations Highlight: Real-world application of counting principles

View

Question 11: Circle Theorems

This question tests knowledge and application of circle theorems.

Definition: A tangent is perpendicular to the radius at the point of contact Example: Using circle theorems to find angle ADC Highlight: Multiple circle theorems must be applied sequentially

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

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Subjects

Maths

Geometry and measure

3-dimensional shapes

Cuboids

Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!

iqra

@iqra_ifso

358 Followers

A comprehensive guide to Year 11 Higher mock exam practice questions covering various mathematical concepts including geometry, algebra, and probability.

The mock exam consists of 12 questions worth 38 marks total, designed to test advanced mathematical skills
Questions range from basic arithmetic to complex geometric theorems and algebraic manipulations
Key topics include strategies for solving cube volume and surface area problems and step-by-step guide to solving simultaneous equations graphically
The exam emphasizes showing all working steps and proper mathematical notation
Questions incorporate real-world applications like holiday pricing and restaurant menu combinations

20/01/2024

1068

10/11

Maths

Question 2: Cube Geometry

This question explores the relationship between surface area and volume of a cube, requiring reverse calculation from surface area to find volume.

Definition: Surface area is the total area of all faces of a 3D shape Vocabulary: Total surface area of a cube = 6x², where x is the length of one edge Example: For a cube with surface area 150cm², the edge length is 5cm and volume is 125cm³

Question 3: Set Theory and Probability

This question tests understanding of Venn diagrams and probability concepts using sets of numbers with specific properties.

Definition: A Venn diagram shows relationships between different sets Vocabulary: B' (complement of set B) contains all elements not in set B Example: Odd numbers and square numbers are represented in different regions of the Venn diagram

Question 4: Percentage Calculations

This question involves reverse percentage calculations in a real-world context of holiday pricing.

Example: If a 20% increase equals £240, the original price can be calculated by finding 10% (£120) and multiplying by 10 Highlight: Working backwards from the percentage increase to find the original amount

Question 5: Simultaneous Equations

This question tests graphical solution of simultaneous equations using line intersections.

Definition: The point of intersection of two lines represents the solution to simultaneous equations Example: The equations 2-2y=x and 2y=3x-22 are solved graphically Highlight: The solution can be verified by substituting coordinates into both equations

Question 6: Algebraic Manipulation

This question involves expanding brackets and combining like terms in algebraic expressions.

Vocabulary: Terms with the same variables and powers can be combined Example: (6x²y³)² is expanded using the power rule Highlight: Final answer must be in the form ax^b y^c where a, b, c are integers

Question 7: Direct Proportion

This question tests understanding of direct proportion relationships and calculations.

Definition: Direct proportion means y = kx where k is the constant of proportionality Example: Using y = 24 when x = 1.5 to find k, then calculating y when x = 5 Highlight: All working steps must be shown to demonstrate understanding

Question 8: Perpendicular Lines

This question explores the relationship between gradients of perpendicular lines.

Definition: Perpendicular lines have gradients that are negative reciprocals of each other Example: If one line has gradient m, the perpendicular line has gradient -1/m Highlight: The solution requires solving equations to find the value of k

Question 9: Formula Rearrangement

This question tests ability to make x the subject of a complex formula.

Example: Rearranging y = 4(2x-7)/(5x+3) to isolate x Highlight: Multiple steps of algebraic manipulation required

Question 10: Counting Principles

This question involves applying multiplication principle in a restaurant menu context.

Example: 5 starters × 12 main courses × x desserts = 420 combinations Highlight: Real-world application of counting principles

Question 11: Circle Theorems

This question tests knowledge and application of circle theorems.

Definition: A tangent is perpendicular to the radius at the point of contact Example: Using circle theorems to find angle ADC Highlight: Multiple circle theorems must be applied sequentially

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!

Question 2: Cube Geometry

Question 3: Set Theory and Probability

Question 4: Percentage Calculations

Question 5: Simultaneous Equations

Question 6: Algebraic Manipulation

Question 7: Direct Proportion

Question 8: Perpendicular Lines

Question 9: Formula Rearrangement

Question 10: Counting Principles

Question 11: Circle Theorems

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Year 11 Mock Exam Practice: Solve Cube Problems & Graph Equations!

Question 2: Cube Geometry

Question 3: Set Theory and Probability

Question 4: Percentage Calculations

Question 5: Simultaneous Equations

Question 6: Algebraic Manipulation

Question 7: Direct Proportion

Question 8: Perpendicular Lines

Question 9: Formula Rearrangement

Question 10: Counting Principles

Question 11: Circle Theorems

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.