This mixed practice stop brings together 1 topics from Primary 6 Angles: Mixed practice. Nothing on the question says which topic it comes from, so choosing the method is part of the skill. In the lesson. Each mark is one property, and we start from the angle that already has a number.
Lesson video, with the working
Mixed angle questions
2 min 21 s
The film teaches 1 question. The question shows first; its working is written as the film explains it.
ABCD is a trapezium with AB parallel to DC. P is a point on AD and N is a point on DC such that DP = DN. Angle DAB = 116°. Find angle PNC.
Angle PNC is 122°.
Ans: 122°
How to solve it
Read the marks before working anything out. Arrowheads mean parallel, two marks mean equal sides, and one straight line means 180 degrees.
Start from the angle that already has a number, and use the property its mark names.
Parallel sides: angle A D C is 180 minus 116, which is 64 degrees.
Equal sides D P and D N: angle D N P is 180 minus 64, divided by 2, which is 58 degrees.
Straight line D N C: angle P N C is 180 minus 58, which is 122 degrees.
The first step is the parallel sides. The second is the equal sides. The third is the straight line. Each mark is one property, and we start from the angle that already has a number.
Practice questions with worked solutions
Question 1 is free to try. The other 7 open in the free trial, each with its full working.
How do you tackle P6 angles mixed practice questions?
In mixed questions the figure no longer says which property comes next.
What your child learns here
In mixed questions the figure no longer says which property comes next. This Primary 6 page brings together every angle fact in the chapter and practises reading the figure's marks to plan a chain of steps.
Read every mark before calculating: arrowheads for parallel sides, small marks for equal sides, a box for a right angle, and a straight line for 180°.
Start from an angle that already has a number, and use the property its mark names.
Chain two or three properties in order, writing the reason in a bracket on each line.
Check that the final angle is the one the three-letter name points to.
Does the answer make sense?
Each answer must suit its mark: an angle marked the long way round lies between 180° and 360°, while every other angle on this page comes out below 180°. Within any triangle your child uses along the way, the three angles must add up to exactly 180°.
How to practise these questions
This set mixes the Angles chapter's question types, so your child must first decide which angle facts apply. Basic questions cover straight lines, angles at a point and parallelograms with a side extended. Intermediate questions add longer chains through composite figures, and Challenge questions combine isosceles triangles with squares or other quadrilaterals so that several facts meet at one corner. When a mixed angles question stalls, read the written step-by-step solution to see which fact came first.
Questions parents ask
How can my child decide which angle property to use? The marks on the figure decide it. Arrowheads point to parallel sides, equal-side marks point to an isosceles triangle, a box is a right angle, and a straight line gives 180°.
Why do mixed angle questions feel harder than single-topic ones? In a single-topic set the property is known in advance. In mixed questions your child has to read the figure to choose it, then chain two or three properties in order.
Is there one method for all angle questions? There is a routine: read the marks, start from a known angle, and write the property in a bracket on each line. The properties themselves change from question to question.
