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11+ Non-Verbal Reasoning

11+ Non-Verbal Reasoning built for visual thinkers.

Shape rotation, cube nets, matrices, sequences and analogies — every NVR question type your child will meet in GL Assessment or CEM, with visual step-by-step explanations.

All Non-Verbal Reasoning question types covered

Non-Verbal Reasoning is the subject most children have never been formally taught. Lumi builds the visual thinking skills from scratch with hundreds of practice questions.

Shape Rotation and Reflection

  • Rotating shapes 90°, 180° and 270° clockwise and anticlockwise
  • Reflecting shapes in horizontal and vertical mirror lines
  • Reflecting shapes in diagonal mirror lines
  • Identifying a shape after rotation
  • Combining rotation and reflection
  • Rotational symmetry — how many times a shape maps onto itself

Cube Nets and 3D Shapes

  • Identifying valid nets of a cube
  • Identifying invalid nets that cannot fold into a cube
  • Drawing nets of cubes and cuboids
  • Matching a net to the 3D shape it makes
  • Opposite faces on a cube — which face is opposite which
  • Nets of triangular prisms, pyramids and other 3D shapes
  • Visualising 3D shapes from 2D drawings
  • Counting faces, edges and vertices

Series and Sequences

  • Shape sequences — what comes next
  • Pattern sequences — identifying the rule
  • Size sequences — growing and shrinking shapes
  • Rotation sequences — shapes rotating by a fixed amount
  • Shading sequences — patterns in how shapes are shaded
  • Combined sequences — multiple rules at once

Matrices and Analogies

  • 2×2 matrices — finding the missing shape
  • 3×3 matrices — completing the grid
  • Shape analogies — 'shape A is to shape B as shape C is to...'
  • Identifying the relationship between pairs of shapes
  • Applying the same transformation to a new shape

Odd One Out and Similarities

  • Finding the odd one out from a group of shapes
  • Identifying which two shapes are most similar
  • Shapes that share properties — size, shading, number of sides
  • Composite shapes and their components

Spatial Reasoning

  • Folding and unfolding shapes
  • Paper folding — identifying the result of folding and punching
  • Combining shapes — which pieces fit together
  • Shape overlaps and intersections
  • Counting shapes within shapes

NVR formats across exam boards

GL Assessment

GL NVR papers are timed multiple-choice tests covering all major question types. Lumi builds speed and accuracy specifically for GL-format papers.

CEM

CEM tests spatial reasoning and pattern recognition. Lumi covers the specific question styles CEM uses, which differ slightly from GL in complexity and timing.

ISEB

ISEB tests spatial and abstract reasoning. Lumi's NVR coverage includes all ISEB question formats with detailed visual explanations.

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