Salam Academy
Sign inCreate account
Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

Sign in to check answers. Your attempts build your mastery and error book.

12 questions

SA-DM-GR-0011 markL1 FoundationNon-calculatorTypes of graph
How many edges does K6K_6 have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-0021 markL1 FoundationNon-calculatorTypes of graph
How many edges does K3,4K_{3,4} have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-0041 markL1 FoundationNon-calculatorTypes of graph
How many edges does a tree with 1010 vertices have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-G011 markL1 FoundationNon-calculatorTerminology
A graph has vertex degrees 3,3,2,2,43,3,2,2,4. How many edges does it have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-Q011 markL1 FoundationNon-calculatorEuler
A connected graph has exactly two odd vertices. It is
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-X011 markL1 FoundationNon-calculatorTerminology
A graph has 1212 edges. Find the sum of the degrees of its vertices.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-X021 markL1 FoundationNon-calculatorTypes of graph
How many edges does K5K_5 have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-X031 markL1 FoundationNon-calculatorTypes of graph
How many edges does K3,3K_{3,3} have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-X041 markL1 FoundationNon-calculatorTypes of graph
A tree has 1515 edges. How many vertices does it have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-0032 marksL2 StandardNon-calculatorEuler
A connected planar graph has 66 vertices and 99 edges. How many faces does it have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-X052 marksL2 StandardNon-calculatorEuler
A connected planar graph has 88 vertices and 66 faces. How many edges does it have?

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-DM-GR-0052 marksL3 ExamNon-calculatorEuler
A simple connected planar graph has every face bounded by at least 3 edges, so 3F≤2E3F\le2E. Use Euler's formula to find the greatest number of edges possible with 55 vertices.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme