The angles of a quadrilateral are (x + 14)°, (2x − 1)°, (3x + 5)° and 114°.
Find the size of the largest angle.
Show answers and mark scheme
| Part | Answer and marking points | Marks |
|---|---|---|
| 119° sum of angles = 360 M1 6x + 132 = 360, x = 38 A1 119 A1 | 3 |
Free Linear equations questions for IGCSE Mathematics (0580), part of Algebra & graphs. Each question has the answer and the marking points an examiner would look for.
Generate a full Linear Equations worksheet →All Algebra & graphs questionsThe angles of a quadrilateral are (x + 14)°, (2x − 1)°, (3x + 5)° and 114°.
Find the size of the largest angle.
| Part | Answer and marking points | Marks |
|---|---|---|
| 119° sum of angles = 360 M1 6x + 132 = 360, x = 38 A1 119 A1 | 3 |
Solve x + 10 = 6x − 50.
| Part | Answer and marking points | Marks |
|---|---|---|
| x = 12 −5x = −60 M2 M1 for collecting x terms or number terms correctly 12 A1 | 3 |
The angles of a quadrilateral are (x + 28)°, (2x + 16)°, (3x − 1)° and 77°.
Find the size of the largest angle.
| Part | Answer and marking points | Marks |
|---|---|---|
| 119° sum of angles = 360 M1 6x + 120 = 360, x = 40 A1 119 A1 | 3 |
Solve 3x − 9 = −x − 33.
| Part | Answer and marking points | Marks |
|---|---|---|
| x = −6 4x = −24 M2 M1 for collecting x terms or number terms correctly −6 A1 | 3 |
The angles of a quadrilateral are (x + 7)°, (2x + 1)°, (3x + 8)° and 116°.
Find the size of the largest angle.
| Part | Answer and marking points | Marks |
|---|---|---|
| 122° sum of angles = 360 M1 6x + 132 = 360, x = 38 A1 122 A1 | 3 |
Solve 3x + 4 = 6x − 29.
| Part | Answer and marking points | Marks |
|---|---|---|
| x = 11 −3x = −33 M2 M1 for collecting x terms or number terms correctly 11 A1 | 3 |
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