EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Enlargement
Enlargement · Transformations and constructions · Lesson 3 of 8 · 16 marks · 25 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 NON-CALCULATOR (2 marks)
Triangle A has vertices (1, 1), (3, 1) and (1, 2). It is enlarged by scale factor 2 with centre (0, 0). Write down the coordinates of the vertices of the image.
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(Total for Question 1 = 2 marks)
Question 2 NON-CALCULATOR (2 marks)
A rectangle measures 3 cm by 5 cm. It is enlarged by scale factor 4. Write down the dimensions of the enlarged rectangle.
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(Total for Question 2 = 2 marks)
Question 3 NON-CALCULATOR (3 marks)
A triangle has vertices (2, 2), (4, 2) and (2, 3). It is enlarged by scale factor 2 with centre (1, 1). Write down the coordinates of the vertices of the image.
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(Total for Question 3 = 3 marks)
Question 4 NON-CALCULATOR (3 marks)
Triangle Q is an enlargement of triangle P. Describe fully the single transformation that maps P onto Q.
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(Total for Question 4 = 3 marks)
Question 5 NON-CALCULATOR (3 marks)
Two similar vases have heights 6 cm and 9 cm. The surface area of the smaller vase is 20 cm². Work out the surface area of the larger vase.
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(Total for Question 5 = 3 marks)
Question 6 CALCULATOR (3 marks)
A model of a ship is made to a scale of 1 : 5. The volume of the model is 250 cm³. Work out the volume of the real ship in cm³.
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(Total for Question 6 = 3 marks)
TOTAL FOR PAPER = 16 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (2 marks)
(2, 2), (6, 2) and (2, 4).
• Two vertices correct B1
• All three correct B1
Question 2 (2 marks)
12 cm by 20 cm.
• One length correct M1
• Both correct A1
Question 3 (3 marks)
(3, 3), (7, 3) and (3, 5).
• A correct method: vector from the centre doubled M1
• Two vertices correct A1
• All three correct A1
Question 4 (3 marks)
An enlargement with scale factor 2 and centre (0, 0).
• Enlargement B1
• Scale factor 2 B1
• Centre (0, 0) B1
Question 5 (3 marks)
The length scale factor is 9/6 = 1.5. The area scale factor is 1.5² = 2.25. The area is 20 × 2.25 = 45 cm².
• Length scale factor 1.5 M1
• 1.5² M1
• 45 A1
Question 6 (3 marks)
The length scale factor is 5, so the volume scale factor is 5³ = 125. The real volume is 250 × 125 = 31 250 cm³.
• Length scale factor 5 M1
• 5³ = 125 M1
• 31 250 A1