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Edexcel IGCSE Math A 5 vectors and transformation geometry

Use this Vectors and Transformations hub to move from vector methods into rotations, reflections, translations, enlargements and transformation descriptions.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Covered syllabus points

5.1 Vectors5.2 Transformation geometry

5 Vectors and transformation geometry question 1

[Maximum number: 6]

Here is a shape P drawn on a grid of squares.

Figure for Question 5 Vectors and transformation geometry question 1 — Edexcel IGCSE Math A Higher

Question (a)

(a)

On the grid, rotate shape P180∘\mathbf{P} 180^{\circ} about the point (-3, 2)

Label the new shape Q.

[ 2 ]

Question (b)

(b)

On the grid, translate shape P by the vector (108)\binom{10}{8}

Label the new shape R.

Here are triangle T and triangle U drawn on a grid of squares.

Figure for Question (b) — Edexcel IGCSE Math A Higher
[ 1 ]

Question (c)

(c)

Describe fully the single transformation that maps triangle T onto triangle U.

[ 3 ]

5 Vectors and transformation geometry question 2

[Maximum number: 3]

OAB is a triangle.

Figure for Question 5 Vectors and transformation geometry question 2 — Edexcel IGCSE Math A Higher

OA→=4a\overrightarrow{OA}=4\mathbf aOB→=4b\overrightarrow{OB}=4\mathbf bP is the point on AB such that AP:PB=1:3

Question (a)

(a)

Write down AB→\overrightarrow{AB} in terms of a\mathbf a and b\mathbf b

[ 1 ]

Question (b)

(b)

Express OP→\overrightarrow{OP} in terms of a\mathbf a and b\mathbf b
Give your answer in its simplest form.

[ 2 ]

5 Vectors and transformation geometry question 3

[Maximum number: 3]

Here are two vectors.

FG→=(−52)HG→=(414)\overrightarrow{F G}=\binom{-5}{2} \quad \overrightarrow{H G}=\binom{4}{14}

Calculate the magnitude of the vector HF→\overrightarrow{H F}

5 Vectors and transformation geometry question 4

[Maximum number: 4]

Joshua is going to cover a floor with tiles for a customer.
The area of the floor is 45 m245 \mathrm{~m}^{2}
Joshua buys one box of tiles for each 1.5 m21.5 \mathrm{~m}^{2} of floor area.
Each box of tiles costs £64
Joshua also buys 5 bags of tile adhesive.
Each bag of tile adhesive costs £12
Joshua charges the customer £ 3000
Work out his percentage profit.
Give your answer correct to one decimal place.

Figure for Question 5 Vectors and transformation geometry question 4 — Edexcel IGCSE Math A Higher

Question (a)

(a)

On the grid above, reflect shape A in the line y=x

Figure for Question (a) — Edexcel IGCSE Math A Higher
[ 2 ]

Question (b)

(b)

On the grid above, enlarge shape B by scale factor 2 with centre (1,1)

[ 2 ]
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