12 original questions, 38 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
The diagram shows triangle ABC.
Two angles fit together on a straight line. One of the angles is 64° and the other angle is y°.
Three angles meet at a point. Two of the angles are 145° and 118°. The third angle is x°.
Work out the value of x. Give a reason for your answer.
The diagram shows two straight lines crossing.
Work out the sizes of the angles a, b and c. Give a reason for each answer.
The line AB is perpendicular to the line CD. They cross at O. The straight line EF also passes through O.
Angle BOE = 27°.
The diagram shows two parallel lines crossed by a straight line.
Work out the sizes of the angles a, b and c. For each one, give a reason.
The diagram shows two parallel lines crossed by a straight line.
One of the marked angles is 71°. The angle marked x° is the co-interior angle between the parallel lines on the same side of the crossing line.
Work out the value of x. Give a reason for your answer.
The diagram shows two parallel lines crossed by a straight line. Two of the angles are marked.
AB and CD are parallel straight lines.
A straight line crosses AB at E and crosses CD at F. On line AB, A is to the left of E and B is to the right of E. On line CD, C is to the left of F and D is to the right of F.
Angle AEF = 62°.
Work out the size of angle CFE.
Give a reason for each stage of your working.
DE and FG are parallel straight lines.
Triangle ABC is drawn so that A lies on DE, and B and C both lie on FG.
D is to the left of A and E is to the right of A.
Angle DAB = 48° and angle ACB = 63°.
Work out the size of angle BAC.
Give a reason for each stage of your working.
A straight line crosses line AB at the point P and crosses line CD at the point Q, where P is above Q. On line AB, B is to the right of P. On line CD, D is to the right of Q.
Angle QPB, between PQ and PB and inside the region between the two lines, is 104°.
Angle PQD, between QP and QD and inside the region between the two lines, is 76°.
Show that AB is parallel to CD.
Give reasons for your answer.
The diagram shows triangle ABC. The line DAE is drawn through A, parallel to BC.
The angles of the triangle are p, q and r.
Show that p + q + r = 180°. Give a reason for each step.
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.