Nexamind Education
Cambridge Lower Secondary Mathematics · Stage 7

Unit 15 · Shapes, area and volume

A complete, self-contained course for Unit 1: teaching slides, native-speaker video lessons, summaries, 451 self-marking practice questions with full worked solutions, maths-vocabulary practice, and a printable end-of-unit test.

6 sections 6 teacher decks 451 questions 7 verified videos 19 printable PDFs Works offline

How to use this site

1Watch or read the theory. Every section opens with a slide deck. Use the ← and → arrow keys to move through it.
2Check the key words. Cambridge exam questions use precise language — learn it early, then test yourself on the vocabulary page.
3Work through the practice in order. Each section has four sets that get harder: A FluencyB ReasoningC ChallengeD Word problems.
4Mark as you go. Press Enter in any answer box, or use Check this set. Show worked answers reveals the full method, not just the answer.
5Print what you need. Every section has a worksheet PDF and a separate worked-answers PDF on the downloads page.
6Finish with the test. 22 questions, 54 marks, no calculator.

The six sections

Section 15.1

Perimeter and area of rectangles

Find the perimeter and area of rectangles and squares, work backwards from a given area or perimeter, and understand what congruent means.

6 slides 67 questions 1 videos
Section 15.2

Compound shapes

Find the area and perimeter of shapes made from rectangles, by splitting them up or by subtracting from an enclosing rectangle.

6 slides 53 questions 1 videos
Section 15.3

Units of area

Understand the relationships between mm², cm², m², hectares and km², and convert between them.

6 slides 71 questions 1 videos
Section 15.4

Area of a triangle

Derive and use the formula for the area of a triangle, and use it in compound shapes.

6 slides 55 questions 1 videos
Section 15.5

Volume of cubes and cuboids

Derive and use the formula for the volume of a cube or cuboid, and use it for compound solids made from cuboids.

6 slides 63 questions 2 videos
Section 15.6

Surface area, nets and views

Use knowledge of area to calculate the surface area of cubes and cuboids, work with their nets, and represent the front, side and top views of a 3D shape.

6 slides 71 questions 1 videos
For teachers

Presentation decks

6 standalone full-screen decks for the projector, with step-by-step reveal, embedded video, interactive tools, quick checks and speaker notes.

36 slides1 file each
Language

Maths vocabulary

Unscramble, gap-fill, choose-the-reason and definition matching — plus a full glossary of every term in Unit 1.

49 questions20 terms
Watch

Video lessons

Hand-picked lessons from Corbettmaths, Math Antics, Math with Mr. J, Khan Academy and Mathsaurus. Every link verified.

7 videosBritish & American
Assess

End-of-unit 15 test

Written in the Cambridge end-of-unit style, with marks shown for each question and a full mark scheme.

22 questions54 marks
Revise

One-page revision sheet

Every rule, key word and worked example from all six sections on a single page. Print it and stick it on the wall.

Print

Downloads

19 PDFs: slide handouts, worksheets, worked answers, the glossary, the revision sheet, the test and its mark scheme.