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Cambridge Checkpoint Maths Workbook 7 Solutions – Unit 2: Properties of two-dimensional shapes

August 06, 2025

Welcome to the detailed solution guide for the Cambridge Checkpoint Lower Secondary Mathematics Workbook 7, published by Hodder Education. This guide is thoughtfully prepared to assist students, teachers, and parents by providing step-by-step solutions to every unit in the workbook.

In this post, we focus on Unit 2: Properties of Two-Dimensional Shapes, which covers Exercises 2.1 to 2.3. These exercises offer structured practice to strengthen learners’ understanding of key geometric concepts. Each worked solution is aimed at improving accuracy, boosting confidence, and developing fluency—critical skills for success in the Cambridge Checkpoint curriculum.

⚠️ Disclaimer

This material, provided by Ugwoke Charles, is not officially affiliated with or endorsed by Hodder Education or Cambridge Assessment International Education. All workbook content remains the property of the original publisher. These solutions are offered strictly for educational and revision purposes. Readers are encouraged to support the publisher by purchasing the official workbook.

Solutions

Exercise 2.1 - 2.3

Question 1: Give the name of each shape and then draw all the lines of reflection symmetry on these shapes.
a. Name: ............................ \( \;\;\;\;\;\;\;\;\;\;\;\;\; \) b. Name: ............................

        Square              Rhombus

c. Name: ............................ \( \;\;\;\;\;\;\;\;\;\;\;\;\; \) d. Name: ............................

        Rhombus                Square

a.Square \( \;\;\;\;\;\;\;\;\;\;\;\;\; \) b. Rhombus
                    Square              Rhombus

c.Trapezium or Isosceles trapezium \( \;\;\;\;\;\;\;\;\;\;\;\;\; \) d. Hexagon or regular hexagon

        Rhombus                      Square

Question 2: Fill in the labels on the circle below?

Question 3: Here are three quadrilaterals.

a. If the parallelogram is the odd one out, give reason why this is the case.
    .............................................................................................................................................................
    .............................................................................................................................................................
b. If the square is the odd one out, give a reason why this is the case.
    .............................................................................................................................................................
    .............................................................................................................................................................

a. A parallelogram does not have any right-angles.
b. A square has all equal sides or the diagonals in a square intersect at right angles.

Question 4: Here are three quadrilaterals. .


To help classify them, give two properties they all have in common.
i) ..................................................................................
ii) .................................................................................

i) Opposite sides are equal in length.
ii) Opposite sides are parallel.

Question 5: Draw two straight lines inside the rectangle opposite to split it into a square and two right-angled triangles.

Question 6: Draw a straight line inside the rectangle opposite to split it into a trapezium and a right-angled triangle.

Question 7:
a. Is a square a type of rectangle?
\( \;\;\;\;\;\;\;\;\; \) [ \( \; \) ] Yes \( \;\;\;\;\;\;\;\;\; \) [\( \; \) ] No
\( \;\; \) Give reasons for your answer.
\( \;\; \)...........................................................................
\( \;\; \)...........................................................................
a. Is a rectangle a type of square?
\( \;\;\;\;\;\;\;\;\; \) [ \( \; \) ] Yes \( \;\;\;\;\;\;\;\;\; \) [\( \; \) ] No
\( \;\; \) Give reasons for your answer.
\( \;\; \)...........................................................................
\( \;\; \)...........................................................................

a. Yes, a rectangle has 4 right angles and opposite sides must be equal length.
b. No, a square has to have all sides equal in length.