Primary 6 · Algebra · Question type 4.6

P6 Algebra: Algebra Questions with Diagrams

Use the properties of the shape to find missing side lengths before calculating.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Algebra chapter6 question types · see the chapter

The lesson · 1 minute 19 seconds

How do you solve P6 algebra questions with diagrams?

Watch: a photo frame with two sides labelled and a perimeter of 60 cm

Another worked example

A worked example

A wire 100 cm long is bent to form a square of side (2s + 3) cm, and 16 cm of the wire is left over. Find the value s represents.

The working · Six lines

The step-by-step working

Written out in full, the way it should appear on paper.

wire used = 100 - 16 = 84
2s + 3 + 2s + 3 + 2s + 3 + 2s + 3 = 84
8s + 12 = 84
8s = 84 - 12
8s = 72
s = 9

The answer is 9.

Practise · Modelled on top school exam questions

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Find the outside perimeter

Find the outside perimeter and write your answer in terms of the letter.

A square of side 8 cm is joined to a rectangle measuring 8 cm by 3g cm, edge to edge along a whole 8 cm side, so that together they make one larger rectangle. Find the perimeter of the larger rectangle in terms of g.

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the larger rectangle is 8 cm by (3g + 8) cm
3g + 8 + 8 + 3g + 8 + 8 = 6g + 32
perimeter = (6g + 32) cm

Ans: (6g + 32) cm

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