ZIMSEC O Level Mathematics (Syllabus A) Polygons and Angles questions

Question 1

A playing field is in the shape of a regular polygon, each of whose sides is of length 50 m. Themba starts at the centre of one side of the field and walks along all of the sides of the field until he arrives back at his starting point. He turns through 45° at each corner of the field. Calculate the total number of turns he makes.

Accepted Answer

8

Question 2

A playing field is in the shape of a regular polygon, each of whose sides is of length 50 m. Themba starts at the centre of one side of the field and walks along all of the sides of the field until he arrives back at his starting point. He turns through 45° at each corner of the field. Calculate the total distance, in metres, that he walks.

Accepted Answer

400

Question 3

State the special name of a seven-sided polygon.

Accepted Answer

heptagon

Question 4

Write down the order of rotational symmetry of an equilateral triangle.

Accepted Answer

3

Question 5

In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral. Given that Q\hat{R}B = 37°, calculate R\hat{B}C, in degrees.

Accepted Answer

37

Question 6

In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral. Given that Q\hat{R}B = 37°, calculate A\hat{Q}R, in degrees.

Accepted Answer

120

Polygons and Angles Questions and Answers

Test yourself on this topic

State the special name of a seven-sided polygon.

Write down the order of rotational symmetry of an equilateral triangle.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $R\hat{B}C$ , in degrees.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $A\hat{Q}R$ , in degrees.

Questions on this topic

More topics in this subject

Practise this topic in the app

Polygons and Angles Questions and Answers

Test yourself on this topic

State the special name of a seven-sided polygon.

Write down the order of rotational symmetry of an equilateral triangle.

In the diagram, the lines ABCABCABC and PQRPQRPQR are parallel. The triangle AQBAQBAQB is equilateral. Given that QR^B=37°Q\hat{R}B = 37°QR^B=37°, calculate RB^CR\hat{B}CRB^C, in degrees.

In the diagram, the lines ABCABCABC and PQRPQRPQR are parallel. The triangle AQBAQBAQB is equilateral. Given that QR^B=37°Q\hat{R}B = 37°QR^B=37°, calculate AQ^RA\hat{Q}RAQ^​R, in degrees.

Questions on this topic

More topics in this subject

Practise this topic in the app

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $R\hat{B}C$ , in degrees.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$ , calculate $A\hat{Q}R$ , in degrees.