Primary 6 · Chapter 8
Follow the angle relationships that make composite P6 figures readable, then practise each question type.
Self-paced lessons · Modelled on top school exam questions · No sign-up for the samples
The Angles chapter
Watch · The introduction
Name the angle, then use the property
Start with straight lines, angles at a point and vertically opposite angles before joining shapes.
Try · Modelled on top school exam questions
Try each question yourself first, then check your answer or compare it with the solution. These questions are written by Mathweave, not copied from school papers. No sign-up is needed.
Question 1 of 3
Use the 180° total on a straight line to find the missing angle.
KOJ is a straight line. Rays OP, OQ and OR stand on it. Angle KOP = 42°, angle POQ = 67° and angle QOR = 31°. Find angle ROJ.
Ans: 40°
Question 2 of 3
Use the equilateral triangle and the straight line to complete the calculation.
MNO is an equilateral triangle. The side NO is produced beyond O to P. Find angle MOP.
Ans: 120°
Question 3 of 3
Use the rectangle corner and equal sides across the join, one angle at a time.
ABCD is a rectangle and BCX is an isosceles triangle built outward on side BC, with BC = CX. Angle DCX = 152°. Find angle CXB.
Ans: 59°
Follow a lesson link beside a question, or browse the chapter below.
The chapter · Eight question types
A linked row opens a published lesson with its own film. Explore the explanation and available practice on that page.
The order · Three groups
Core properties for every question
8.1 to 8.3
Figures made of more than one shape
8.4 to 8.6
Folded paper, and everything together
8.7 and 8.8
The number tells you where a question type sits in this chapter, not what your child needs to learn first. A child who has already met a type in school can practise it without working through the ones above it.
The papers · Modelled against top school papers
Paper 1 has 30 questions for 50 marks: 18 multiple-choice questions and 12 short-answer questions. Paper 2 has 15 questions for 50 marks: 5 short-answer questions and 10 structured or long-answer questions.
A Paper 1 item is usually one property or a two-step chase whose answer is picked from four options; three- and four-mark figures appear in Paper 2 and may require four or five properties to find the unknown angle.
The syllabus asks for one thing at this level: unknown angles, without drawing any extra lines, in composite figures made of a square, rectangle, triangle, parallelogram, rhombus or trapezium. Every property used to find them was taught in an earlier year. This chapter reviews each property on its own figure before combining them in composite figures.
Everything here is modelled against top school papers. Those papers are never reproduced, and every question on this site is original.
Written working · Clear methods, line by line
These examples show Mathweave's clear, consistent layout for each method. The layout is informed by the answer keys we reviewed.
Parents · Asked and answered
The question types follow the latest MOE Primary Mathematics syllabus. The syllabus defines what is taught; the papers we model against show how it is examined.
Almost every property this chapter uses was taught in Primary 4 and Primary 5: angles on a straight line, angles at a point, the angle sum of a triangle, the properties of quadrilaterals. What is new at Primary 6 is putting two or three of them into one figure, so the chapter states each property once, on a figure of its own, before any question asks for two at a time.
We write the questions ourselves rather than copy them from papers. Each chapter is modelled on the types of question that top school papers set. A question may look like one your child has met before because it is the same type.
Practice uses different numbers for each question type, points out the common mistake when your child makes it and records which types your child can complete independently.