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Edexcel IGCSE Math A Higher 5 Vectors and Transformation Geometry Questions

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

Question 1

[Maximum number: 6]

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

Figure for 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 ]

Question 2

[Maximum number: 3]

OAB is a triangle.

Figure for 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 ]

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}

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