# Elevenplus Syllabus

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 factorisation

• 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 fractions:

• 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 a number line

e) Fraction -addition/subtraction/multiplication/division

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

g) How to convert fractions into decimal and vice versa

h) How to convert fractions 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 numbers in order

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

d) Rounding of decimals

e) How to convert decimals into fractions and vice versa

f) How to convert decimals into percentages and vice versa

g) Word problems

4. Percentage

a) Introduction to percentages

b) Convert percentages 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 diagrams 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 others (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 &Spatial

• 3D shapes as 2D

• Different views of 3D shapes

• Cube views

• Building blocks

English

1. Comprehension

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 the 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 the alphabet series. Type 13: Complete the sentence

Type 14: Word codes

Type 15: Complete word pairs

Type 16: Number series

Type 17: Form a new word

Type 18: Create a word

Type 19: Similar meaning

Type 20: Letter relationship

Type 21: Comprehension (facts)