11+practice papers
METHODS AND EXAMPLES

Non-verbal reasoning, one idea at a time.

Use these examples after reviewing an answer. The methods support our original practice; they do not replace your school’s current familiarisation materials.

Count sequences

Count the shapes in each figure. Compare how the count changes, then check whether shape or fill also changes. More than one feature can matter.

Worked example

For counts 2, 4, 6, the rule adds two shapes each time, so the next count is 8. For 1, 2, 4, doubling instead gives 8.

Find free sets on this topic →

Rotation

Imagine turning the figure around its centre without flipping it. Identify the direction and size of the turn; check every step of the sequence.

Worked example

An upward arrow turned 90° clockwise points right. Another 90° clockwise turn points down. A 180° turn points in the opposite direction.

Find free sets on this topic →

Alternating patterns

Look for a repeating block of features, such as outline, solid, outline, solid. Check that count, shape and position still obey their own rules.

Worked example

In one outline circle, one solid circle, one outline circle, the next is one solid circle. Changing the shape or the number would break the pattern.

Find free sets on this topic →

Position sequences

Follow the position within the frame independently of the shape and fill. It may move clockwise, anticlockwise or between opposite corners.

Worked example

A dot moving clockwise around the corners goes top left, top right, bottom right, bottom left, then top left again.

Find free sets on this topic →

Reflection

A mirror image is a flip rather than a turn. A vertical mirror swaps left and right; a horizontal mirror swaps up and down. The other direction stays the same.

Worked example

An up-right arrow reflected in a vertical mirror points up-left. Reflected in a horizontal mirror, it points down-right.

Find free sets on this topic →