Where can I download free 2d shapes PDF worksheets with answers?

On this MathsLinks page you can download free printable 2d shapes PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Corbett Practice, Corbett Textbook, Maths Made Easy, Maths Takeaway, Maths DIY, plus a printable one-page 2d shapes revision guide.

What GCSE grade is 2d shapes (1Q)?

2D shapes (topic code 1Q) is a Grade 1 geometry topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free 2D shapes Worksheets (PDF) with Answers — GCSE Maths

Free 2D shapes PDF Worksheets & Answers

Grade 1 • Topic 1Q

Resource	Questions	Answers
Corbett Practice Practice Questions & answers	Qs	Ans
Corbett Textbook Textbook Exercise & answers	Qs	Ans
Maths Made Easy MME worksheet & model answers	Qs	Ans
Maths Takeaway GCSE Maths Takeaway exam questions	Qs	Ans
Maths DIY Exam-style booklet & solutions	Qs	Ans
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
Dr Austin Practice grid / worksheet & answers	Qs	Ans
PMT (Edxl) Edexcel GCSE topic questions & solutions	Qs	Ans
PMT (AQA) AQA GCSE topic questions & solutions	Qs	Ans
PMT (IGCSE) Edexcel IGCSE topic questions & solutions	Qs	Ans

Grade 1 topics
1A - Addition	1B - Subtraction
1C - Multiplication	1D - Division
1E - Time	1F - Ordering FDP
1G - Place Value	1H - Rounding
1J - Negative numbers	1K - Powers and roots
1L - BIDMAS	1M - Factors, multiples and primes
1N - Coordinates	1P - Pictograms
1Q - 2D shapes	1R - 3D shapes

Explanation:

Know your polygons by their number of sides: Pentagon (5), Hexagon (6), Heptagon (7), Octagon (8), Nonagon (9), Decagon (10). A regular polygon has all sides equal and all interior angles equal, and a regular n-sided polygon has n lines of symmetry and rotational symmetry of order n.

For special quadrilaterals: a parallelogram has two pairs of parallel equal sides; a rhombus has 4 equal sides; a trapezium has exactly one pair of parallel sides; and a kite has two pairs of adjacent equal sides and 1 line of symmetry.

Example 1: Name the quadrilateral with: (a) 4 equal sides & 2 lines of symmetry (b) 1 pair of parallel sides.

(a) Rhombus (4 equal sides, 2 diagonal symmetry lines; square has 4).

(b) Trapezium (exactly one pair of parallel sides).

Example 2: Give the lines of symmetry and order of rotational symmetry of a rectangle and a parallelogram.

• Rectangle: 2 lines of symmetry (not diagonals), rotational order 2.

• Parallelogram: 0 lines of symmetry, rotational order 2.

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper 2D shapes Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 OCR Jun 2025 2F Q4 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Work out
(a) (i) Write down the mathematical name of each of the shapes.
(ii) Write down the order of rotational symmetry of shape **A**.
(b) Add correct notation to the shape below to show that it is an isosceles triangle.

(a) Write down the mathematical name of each of the shapes. [2 marks]

Write down the order of rotational symmetry of shape **A**. [1 mark]

(b) Add correct notation to the shape below to show that it is an isosceles triangle. [1 mark]

Worked Solution & Mark Scheme (4 marks)

Part (a) Solution:

Shape A has two pairs of parallel sides ⇒ Parallelogram M1
Shape B has 6 sides ⇒ Hexagon. A1

Answer (a): Shape A: Parallelogram; Shape B: Hexagon

Part Solution:

A parallelogram maps onto itself twice during a full 360° turn ⇒ order 2. B1

Answer : 2

Part (b) Solution:

Mark the two equal sloping sides with matching tick lines (or the two equal base angles with matching arcs). C1

Answer (b): Equal tick marks drawn on the two equal sides

Past Paper Example 2 Eduqas Jun 2017 2F Q3 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

(a) Draw or name a diagram of the shape that is described below:
• The shape has 4 straight sides.
• The opposite sides are equal in length.
• The opposite sides are parallel to each other.
• There are no right angles.
(b) (i) The diagram shows two triangles and a trapezium.
Which of the following is the right angle?
• ABĈ
• BAĈ
• ACB̂
• DFÊ
• DEF̂
(b) (ii) Which line is parallel to KL?
• KN
• NM
• AB
• LM
• AC
(b) (iii) Triangle DEF is:
• scalene
• equilateral
• right-angled
• isosceles

(b) The diagram shows two triangles and a trapezium. [1 mark]

Which of the following is the right angle?
• ABĈ
• BAĈ
• ACB̂
• DFÊ
• DEF̂

Which line is parallel to KL?
• KN
• NM
• AB
• LM
• AC [1 mark]

Triangle DEF is:
• scalene
• equilateral
• right-angled
• isosceles [1 mark]

Worked Solution & Mark Scheme (4 marks)

Part (a) Solution:

A quadrilateral with opposite sides parallel and equal, but no right angles, is a parallelogram (or a rhombus if all sides are equal). B1

Answer (a): Parallelogram (or rhombus)

Part (b) Solution:

In triangle ABC, the right-angle square marker is located at vertex C, which is ACB̂. B1

Answer (b): ACB

Part Solution:

In trapezium KLMN, matching arrows on sides KL and NM indicate that KL is parallel to NM. B1

Answer : NM

Part Solution:

Sides DF and DE have tick marks indicating they are equal in length, so △ DEF is isosceles. B1

Answer : isosceles

Past Paper Example 3 AQA Nov 2024 3F Q13 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

(a) Draw the two lines of symmetry on the pattern. [2 marks]
13 (b) Shade four more squares so that the pattern has rotational symmetry of order 4. [1 mark]

(a) Here is a pattern of squares on a grid.
Draw the **two** lines of symmetry on the pattern. [2 marks]

(b) Here is the pattern again.
Shade **four** more squares so that the pattern has **rotational** symmetry of order 4 [1 mark]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

Draw vertical and horizontal lines through the middle of the pattern M1 A1

Answer (a): Vertical and horizontal midlines

Part (b) Solution:

Rotating the pattern by 90° requires two protruding squares on the top and bottom to match the left and right sides B1

Answer (b): 4 squares shaded at (2,3), (2,5), (6,3), (6,5)

← 1P Pictograms

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2D shapes

Free 2D shapes PDF Worksheets & Answers

Guide to 2D shapes: Explanation, Diagrams & Worked Examples

GCSE Past Paper 2D shapes Questions & Answers