## Syllabus for 11+ Exams

**Syllabus for 11+ Exam Mathematics**

1.**Number System**

• Place value and rounding

• Writing numbers as words and figures

• Standard addition, subtraction, division and multiplication

• Word problems based on four operations

• Function/number machines

• Understanding the use of brackets (BODMAS)

• Order and compare numbers

• Inverse operations

• Factors, multiples and prime number

• Prime factorization

• Highest common factor (HCF)

• Lowest common factor (LCM)

• Even number, odd number, square number and cube number

• Number sequence and number pattern

• Triangular number

• Roman numerals

• Negative numbers

• Consecutive number

• Indices

• Multi-level word problems

2.**Fractions**

a) Types of fraction:

• Proper fraction

• Improper fraction

• Mixed fraction

• Like fraction

• Unlike fraction

• Equivalent fraction

b) Conversions:

• Simplify fraction

• Mixed to improper fraction

• Improper to mixed fraction

c) Comparing and Ordering of fractions

d) Representation on number line

e) Fraction -addition/subtraction/multiplication/division

f) Unit fraction-addition/subtraction/multiplication/division

g) How to convert fraction into decimal and vice versa

h) How to convert fraction into percentage and vice versa

i) Word problems

3.**Decimal**

a) What is a Decimal Number?

• Place Value

• Introduction to Decimals

• Decimals, Fractions and Percentages are just different ways of showing the

same value

• Decimals, Fractions and Percentages on the Number Line

• Representation on Number Line

b) Putting decimal number in order

c) How to add, subtract, multiply and divide decimals

d) Rounding of decimals

e) How to convert decimal into fraction and vice versa

f) How to convert decimal into percentage and vice versa

g) Word problems

4.**Percentage**

a) Introduction to percentages

b) Convert percentage into fractions and vice versa

c) Convert percentage into decimals and vice versa

d) Percentage change:

• Increase

• Decrease

e) Word problems

5.**Ratio and Proportion**

a) Introduction to Ratio

b) Introduction to proportion:

• Direct proportion

• Indirect proportion

c) Unitary method

d) Recipe problems

e) Scale models

f) Word problem

6.**Money and cost calculation**

a) Make an amount

b) Currency conversion

7.**Age word problems**

8.**Measurements**

a) Unit conversion

b) Metric and imperial units of measurement and calculation for length, mass,

volume and capacity.

c) Scale reading

d) Ruler measurement

e) Scale balancing

f) Temperature

9.**Algebra**

a) Introduction to algebra

b) Terms and expressions

c) simplifying expressions

d) Balance when adding/subtracting/dividing/multiplying

e) Linear equation

f) Algebra equations and making formulae

g) Substitution

h) Simultaneous equation

i) Algebra dependent problems

10.**Geometry**

10.1 **2D shapes**

a) Different types of Polygon:

• square, rectangle, quadrilateral, parallelogram, rhombus, trapezium,

kite

• triangles (equilateral, isosceles, scalene, right, acute, obtuse)

• pentagon, hexagon, octagon, nonagon, decagon

b) Compound shapes

c) Circle

d) Area and perimeter

e) Identification and properties of 2D shapes

f) Types of Angles

g) lines (parallel and perpendicular lines)

h) Diagram drawing

10.2 **3D shapes**

a) Different types of 3D shapes (cuboid, cube, Square-Based Pyramid

Triangular Prism, Pentagonal Pyramid, Hexagonal Prism)

b) Nets of 3D solids

c) Properties of 3D shape

d) Volume and surface area

10.3 Symmetry

a) Line of symmetry

b) Rotational symmetry and Order of symmetry

11.**Coordinate Geometry**

a) Position and Directions

b) Bearings

c) Transformation (translation, reflection, rotation)

12.**Data Handling**

a) Organizing and comparing information in diagram and charts

b) Tables, graphs and charts

c) Pie chart

d) Bar graph

e) Line graph

f) Venn diagram

g) Time graph

h) Pictograms

i) Tally marks

Statistics:

Mean, mode, median, average, range

13.**Time and Durations**

a) Date

b) Calendar

c) 24-hour clock

14.**Speed, distance and time**

a) Concept

b) Word problem

15.**Probability**

a) Concept and properties

b) Probability line

c) Spinner

d) Basic counting principle

e) Basic probability rule: • Complement rule • Addition rule(“or”) • Multiplication rule (“And”) • At least one rule

f) Events:• Independent and dependent event • Mutually exclusive

**Non-Verbal Reasoning**

**Type 1:** Odd one out

**Type 2:** Find the figure like other (similarities)

**Type 3:** Complete the series

**Type 4:** Complete the grid

**Type 5:** Complete the pair /Analogies

**Type 6:** Crack the vertical /horizontal code

**Type 7:** Reflection

**Type 8:** Nets and Cube:

• Intro

• Unfold to find the net

• Fold to find cube

**Type 9:** Hole punching / paper cutting

**Type 10:** Merge shapes

**Type 11:** Figure rotation

**Type 12:** Hidden shapes

**Type 13:** Fold along the line

**Type 14:** 3D Rotation

**Type 15:** Complete the shape

**3D &Spatia**l

• 3D shapes as 2D

• Different views of 3D shapes

• Cube views

• Building blocks

**English**

1. **Comprehension test**

2. **Vocabulary testing**

• Synonyms

• Antonyms

• Cloze (words with missing letters)

3. **Spelling / punctuation / grammar**

4. **Literary devices:**

• Similes

• Metaphor

• Personification

• Onomatopoeia

• Imagery

• Allusion

• Alliteration

• Allegory

• Repetition

• Exaggeration

5. **Literary reasoning**:

• Rhyming words

• Anagrams

• Crosswords

• Odd words out

• Putting jumbled words into sentences

• Putting jumbled sentences or paragraphs into the correct order

**Verbal Reasoning**

**Type 1:** Insert a letter

**Type 2:** Find the odd word

**Type 3:** Alphabet code

**Type 4:** Synonyms

**Type 5:** The hidden word in a sentence

**Type 6:** Find the word

**Type 7:** Calculating the letters

**Type 8:** Opposite meaning

**Type 9:** complete the calculation

**Type 10:** Rearrange to make two new words

**Type 11:** Number relationship

**Type 12:** Complete alphabet series

**Type 13:** Complete the sentence

**Type 14:** Word codes

**Type 15:** Complete word pairs

**Type 16:** Number series

**Type 17:** Form new word

**Type 18:** Create a word

**Type 19:** Similar meaning

**Type 20:** Letter relationship

**Type 21:** Comprehension (facts)