This list is for CEM exam board. English, Maths, Non-Verbal Reasoning and Verbal Reasoning.

The 4 basic operations: addition, subtraction, multiplication and division




Metric system


Prime numbers

Prime factors

Highest common factor and lowest common multiple

Perimeter and area (Squares, Rectangles, Compound Shapes)


Distance, Speed and Time

Column graphs

Pie charts


Angle calculations


Reflection and Rotation


Simple ratio

Volume of cube and cuboids


A comprehension exercise consisting of a two-page piece of prose followed by 18 questions about the content

4 further questions about the meaning of words used in the test

3 questions asking pupils to identify the grammatical type of words used – nouns, verbs, prepositions etc

8 questions requiring the child to identify spelling errors in sentences

8 questions requiring the child to identify errors in the use of capital letters and punctuation

8 questions where the child needs to choose the best word from a list that will complete the sentence

Ordering words to make a sentence

Punctuating sentences with capital letters, full stops and question marks

Placing words in alphabetical order

Finding the odd words out (Similar questions appear on many Verbal Reasoning papers)

Opposites (Again, these on Verbal Reasoning papers)

Rhyming words

Ordering sentences to make a story

Use of capital letters, full stops & question marks

Simple compound words (Also found on Verbal Reasoning papers)

A ‘Cloze’ exercise, requiring the child to fill the gaps in a sentence (usually from a bank of words provided) to make it read correctly

Comprehensions: Read a passage and answer questions of fact, simple inferences, sometimes in sentences (‘standard format’), but more typically in multiple-choice format

Write an essay/short story with a limited time frame – often 20 or 30 minutes, sometimes 50 minutes

Simple probability

Nets of shapes

Sequences and number patterns

Marking and interpreting scales