Key Stage 2 (KS2) · Mathematics

Position and Direction: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Position and Direction.

10 questions24 marksFree, no account

Question 1

1 mark

A hiker is standing at the center of a park facing South. If he turns \( 135^{\circ} \) clockwise, which of the 8-point compass directions will he be facing?

Question 2

1 mark

A car is parked at a spot. If a library is North-West of the car and a hospital is South-West of the car, what is the direction of the hospital from the library?

Question 3

1 mark

An airplane starts at a point, flies 200 km North, then 200 km East, and finally 200 km South-West. In which general direction is the airplane's current position from its starting point?

Question 4

1 mark

A small boat is sailing East. It makes a \( 45^{\circ} \) anti-clockwise turn to avoid an obstacle. What is its new direction?

Question 5

1 mark

Point P is at coordinates \((5, 2)\) and Point Q is at \((5, 8)\). Point R is located such that it is East of Point Q and North-East of Point P. What are the coordinates of Point R?

Question 6

3 marks

On a map, the Library is North of the Park and the School is West of the Library. What is the direction of the Park from the School?

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Three landmarks \( P \), \( Q \), and \( R \) are positioned such that \( Q \) is South-West of \( P \), and \( R \) is South of \( P \). If the distance \( PQ \) is equal to the distance \( PR \), what is the direction of \( Q \) from \( R \)?

Write your answer out first, then check it against the worked solution.

Question 8

5 marks

An explorer is facing South. He makes a \( 225^{\circ} \) clockwise turn. In which 8-point compass direction is he facing now?

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Question 9

3 marks

A hiker is using a compass to navigate through a forest.
(a) The hiker is currently facing West. If he turns \( 45^{\circ} \) anti-clockwise, which of the 8-point compass directions will he be facing?
(b) From the direction found in part (a), how many degrees clockwise must he turn to face North?

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Question 10

4 marks

In a 2D coordinate system, consider a triangle with vertices at Point A \((2, 2)\), Point B \((8, 2)\), and Point C \((5, 6)\).
(a) What is the length of the base AB?
(b) What is the height of the triangle relative to base AB?
(c) If the triangle is shifted 3 units to the left and 2 units up, what are the new coordinates of Point C?

Write your answer out first, then check it against the worked solution.

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