Lesson Worksheet: Instruction Problems Eleven Plus

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In this worksheet, we will practice applying knowledge of directions and angles to solve spatial problems.

Q1:

You need to guide the evil robot through the maze in such a way that it does not bump into any of the walls. The instructions you may offer are FORWARD ⟨𝑛⟩, TURN RIGHT 90∘, and TURN LEFT 90∘.

What instructions will guide the robot through the maze?

  • AFORWARD 5; TURN RIGHT 90∘; FORWARD 2; TURN LEFT 90∘; FORWARD 3; TURN LEFT 90∘; FORWARD 4; TURN RIGHT 90∘; FORWARD 2; TURN LEFT 90∘; FORWARD 4
  • BFORWARD 5; FORWARD 1; TURN RIGHT 90∘; FORWARD 2; FORWARD 3; TURN LEFT 90∘; FORWARD 1; TURN RIGHT 90∘; FORWARD 3
  • CFORWARD 5; TURN LEFT 90∘; FORWARD 1; TURN RIGHT 90∘; FORWARD 2; TURN RIGHT 90∘; FORWARD 3; TURN LEFT 90∘; FORWARD 1; TURN RIGHT 90∘; FORWARD 3
  • DFORWARD 3; TURN LEFT 90∘; FORWARD 1; TURN RIGHT 90∘; FORWARD 3; TURN LEFT 90∘; FORWARD 2; TURN LEFT 90∘; FORWARD 1; TURN RIGHT 90∘; FORWARD 5
  • EFORWARD 4; TURN RIGHT 90∘; FORWARD 1; TURN LEFT 90∘; FORWARD 2; TURN LEFT 90∘; FORWARD 3; TURN RIGHT 90∘; FORWARD 1; TURN LEFT 90∘; FORWARD 3

Q2:

Dixy is a robot. It needs to be guided up to the exit.

It can only move with FORWARD, TURN RIGHT 90∘, and TURN LEFT 90∘.

Which instructions will guide Dixy through the maze?

  • AFORWARD 2, TURN LEFT 90∘, FORWARD 1, TURN RIGHT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 4
  • BFORWARD 2, TURN LEFT 90∘, FORWARD 1, TURN RIGHT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 4
  • CFORWARD 3, TURN RIGHT 90∘, FORWARD 2, TURN LEFT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 5
  • DFORWARD 2, TURN RIGHT 90∘, FORWARD 1, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 4
  • EFORWARD 3, TURN LEFT 90∘, FORWARD 2, TURN RIGHT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 5

Q3:

In a video game, the player needs to move Emma the dragon from her starting point to the exit, collecting as many gems as possible.

She can only move FORWARD, TURN RIGHT 90∘, and TURN LEFT 90∘.

Which set of instructions will guide Emma through the level, collecting all the gems?

  • AFORWARD 4, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 3
  • BFORWARD 5, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 6
  • CFORWARD 4, TURN RIGHT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 3
  • DFORWARD 6, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 6
  • EFORWARD 6, TURN RIGHT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 6

Q4:

The remote-controlled car needs to be guided from its starting position to point X, avoiding any rocks on the way. It can only move FORWARD, TURN LEFT 90∘, and TURN RIGHT 90∘.

Which set of instructions will get it to point X safely?

  • AFORWARD 2, TURN LEFT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 8
  • BFORWARD 1, TURN LEFT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 9
  • CFORWARD 4, TURN LEFT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 6
  • DFORWARD 3, TURN LEFT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 7
  • EFORWARD 5, TURN LEFT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 5

Q5:

The turtle wants to move from the entrance to the exit. It can only move along the white squares, and it can only move FORWARD, TURN LEFT 90∘, or TURN RIGHT 90∘.

Which set of instructions will guide the turtle to the exit?

  • AFORWARD 4, TURN LEFT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 4
  • BFORWARD 4, TURN RIGHT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 5
  • CFORWARD 5, TURN RIGHT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 4
  • DFORWARD 5, TURN RIGHT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 4
  • EFORWARD 5, TURN LEFT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 4

Q6:

The frog wants to escape the maze. It can only move FORWARD, TURN LEFT 90∘, or TURN RIGHT 90∘, and it cannot move through grey blocks.

Which set of instructions will take it to an exit?

  • AFORWARD 3, TURN RIGHT 90∘, FORWARD 5, TURN LEFT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 2
  • BFORWARD 2, TURN LEFT 90∘, FORWARD 4, TURN RIGHT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 1
  • CFORWARD 2, TURN LEFT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 1
  • DTURN LEFT 90∘, FORWARD 5, TURN RIGHT 90∘, FORWARD 2
  • ETURN RIGHT 90∘, FORWARD 5, TURN LEFT 90∘, FORWARD 2

Q7:

The hedgehog needs to go from point A to point B, but it cannot move through the darker blocks that represent impassable terrain.

It can only move FORWARD, TURN RIGHT 90∘, and TURN LEFT 90∘.

Which instructions will guide the hedgehog from A to B?

  • AFORWARD 2, TURN RIGHT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 5
  • BFORWARD 1, TURN RIGHT 90∘, FORWARD 5, TURN LEFT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 6
  • CFORWARD 2, TURN LEFT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 2, TURN LEFT 90∘, FORWARD 5
  • DFORWARD 2, TURN RIGHT 90∘, FORWARD 3, TURN LEFT 90∘, FORWARD 2, TURN LEFT 90∘, FORWARD 5
  • EFORWARD 3, TURN LEFT 90∘, FORWARD 4, TURN LEFT 90∘, FORWARD 2, TURN LEFT 90∘, FORWARD 6

Q8:

The robot is given the following set of instructions:

FORWARD 4, FORWARD 2, TURN LEFT 90∘, FORWARD 3, TURN RIGHT 90∘, FORWARD 4

Which exit does it reach?

  • AC
  • BB
  • CD
  • DE
  • EA

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