GRADE 12
MATHS LIT
2025 IEB SYLLABUS
JORDAN LAW
, CONTENTS
CHAPTER 1: BASIC SKILLS
SIGNIFICANT DIGITS PAGE 3 CHAPTER 4: MAPS AND PLANS
PERCENTAGE PAGE 3 COMPASS DIRECTIONS PAGE 10
RATIO, RATE & PROPORTION PAGE 3 GRID REFERENCING PAGE 10
SCALE AND PLANS PAGE 10
CHAPTER 2: FINANCE
INTEREST PAGE 5 CHAPTER 5: DATA HANDLING
ANNUITIES PAGE 5 TYPES OF DATA PAGE 11
TARIFF SYSTEMS PAGE 5 COLLECTING DATA PAGE 11
TAXATION PAGE 6 ORGANISING DATA PAGE 11
INFLATION PAGE 7 DISPLAYING DATA PAGE 11
INCOME AND EXPENSES PAGE 7 ANALYSING DATA PAGE 12
PROFIT, LOSS AND
PAGE 7
BREAKING-EVEN
CHAPTER 6: PROBABILITY
COST PRICE, SELLING PRICE AND
PAGE 8
PROFIT EXPRESSING PROBABILITY PAGE 13
PROFIT MARGINS PAGE 8 CALCULATING PROBABILITY PAGE 13
DIFFERENT EVENTS PAGE 13
CHAPTER 3: MEASUREMENT TREE DIAGRAMS PAGE 13
CONVERSATIONS PAGE 9 CONTINGENCY TABLES PAGE 13
TEMPERATURE AND TIME PAGE 9
PERIMETER, AREA AND VOLUME PAGE 9
, SIGNIFICANT DIGITS CHAPTER 1: BASIC SKILLS
numbers that are
known with certainty
examples:
4,248: 1,2040: 0,0000120400:
→ 4 significant digits → 4 significant digits → 4 significant digits
→ 4 is the first significant digit → 1 is the first significant digit → 1 is the first significant digit
→ 8 is the last significant digit → 4 is the last significant digit → 4 is the last significant digit
0,00003400
1 thousand - 3 zeros
1 million - 6 zeros zeros are not zeros after non-zero
1 billion - 9 zeros significant after all non-zero digits in a decimal
decimal point before digits are number are
non-zero digits significant significant
PERCENTAGE CHAPTER 1: BASIC SKILLS
VAT: (15%)
calculate the % of one value: calculate a new value → excluding: x
100
115
15% of 1200km:
1200 x 15% = 180km when given % : → including: x 115
excluding VAT: R16,00 100
calculate the % of two values: including VAT: R16 x 115% = R18,40
41/45 as a percentage:
41/45 x 100 = 91%
calculate the original value when given new value and % :
something costs R18,40 including VAT:
excluding VAT: R18,40 x 100/115 = R16 calculate % increase or decrease :
highest value - lowest value
x 100% = ...%
initial value
RATIO,RATE AND PROPORTION CHAPTER 1: BASIC SKILLS
RATIO: increasing and decreasing ratio:
a different way of writing a fraction example: increase R1,5 million in the ratio 5:7
always make sure the units are the same (This means that for every R5 you had, you now want R7)
a ratio in unit form is always 1:...
72:16 72 (÷72) : 16 (÷72) = 1:0.22 (7÷5) x R1 500 000 = R2 100 000 or R2,1 million
a ratio that compares more than 2 quantities is called
a compound ratio (ex: 1:4:9) example: decrease 7,2km in the ratio 3:1
(This means that for every 3km you have, you now want 1
sharing in a given ratio: (1÷3) x 7,2km = 2,4km
example: divide 21 kg in the ratio 3:4
3+4 = 7 = (3÷7) x 21 = 9kg (4÷7) x 21 = 12kg
MATHS LIT
2025 IEB SYLLABUS
JORDAN LAW
, CONTENTS
CHAPTER 1: BASIC SKILLS
SIGNIFICANT DIGITS PAGE 3 CHAPTER 4: MAPS AND PLANS
PERCENTAGE PAGE 3 COMPASS DIRECTIONS PAGE 10
RATIO, RATE & PROPORTION PAGE 3 GRID REFERENCING PAGE 10
SCALE AND PLANS PAGE 10
CHAPTER 2: FINANCE
INTEREST PAGE 5 CHAPTER 5: DATA HANDLING
ANNUITIES PAGE 5 TYPES OF DATA PAGE 11
TARIFF SYSTEMS PAGE 5 COLLECTING DATA PAGE 11
TAXATION PAGE 6 ORGANISING DATA PAGE 11
INFLATION PAGE 7 DISPLAYING DATA PAGE 11
INCOME AND EXPENSES PAGE 7 ANALYSING DATA PAGE 12
PROFIT, LOSS AND
PAGE 7
BREAKING-EVEN
CHAPTER 6: PROBABILITY
COST PRICE, SELLING PRICE AND
PAGE 8
PROFIT EXPRESSING PROBABILITY PAGE 13
PROFIT MARGINS PAGE 8 CALCULATING PROBABILITY PAGE 13
DIFFERENT EVENTS PAGE 13
CHAPTER 3: MEASUREMENT TREE DIAGRAMS PAGE 13
CONVERSATIONS PAGE 9 CONTINGENCY TABLES PAGE 13
TEMPERATURE AND TIME PAGE 9
PERIMETER, AREA AND VOLUME PAGE 9
, SIGNIFICANT DIGITS CHAPTER 1: BASIC SKILLS
numbers that are
known with certainty
examples:
4,248: 1,2040: 0,0000120400:
→ 4 significant digits → 4 significant digits → 4 significant digits
→ 4 is the first significant digit → 1 is the first significant digit → 1 is the first significant digit
→ 8 is the last significant digit → 4 is the last significant digit → 4 is the last significant digit
0,00003400
1 thousand - 3 zeros
1 million - 6 zeros zeros are not zeros after non-zero
1 billion - 9 zeros significant after all non-zero digits in a decimal
decimal point before digits are number are
non-zero digits significant significant
PERCENTAGE CHAPTER 1: BASIC SKILLS
VAT: (15%)
calculate the % of one value: calculate a new value → excluding: x
100
115
15% of 1200km:
1200 x 15% = 180km when given % : → including: x 115
excluding VAT: R16,00 100
calculate the % of two values: including VAT: R16 x 115% = R18,40
41/45 as a percentage:
41/45 x 100 = 91%
calculate the original value when given new value and % :
something costs R18,40 including VAT:
excluding VAT: R18,40 x 100/115 = R16 calculate % increase or decrease :
highest value - lowest value
x 100% = ...%
initial value
RATIO,RATE AND PROPORTION CHAPTER 1: BASIC SKILLS
RATIO: increasing and decreasing ratio:
a different way of writing a fraction example: increase R1,5 million in the ratio 5:7
always make sure the units are the same (This means that for every R5 you had, you now want R7)
a ratio in unit form is always 1:...
72:16 72 (÷72) : 16 (÷72) = 1:0.22 (7÷5) x R1 500 000 = R2 100 000 or R2,1 million
a ratio that compares more than 2 quantities is called
a compound ratio (ex: 1:4:9) example: decrease 7,2km in the ratio 3:1
(This means that for every 3km you have, you now want 1
sharing in a given ratio: (1÷3) x 7,2km = 2,4km
example: divide 21 kg in the ratio 3:4
3+4 = 7 = (3÷7) x 21 = 9kg (4÷7) x 21 = 12kg
