GRADE 12 MATHEMATICS
EXAM PRACTICE BUNDLES
PAPER 1 + PAPER 2
WITH FULL MEMORANDUM
300 MARKS TOTAL
CAPS 2026
Prepared by : Nothisile K. Dlamini
Complete Grade 12 maths exam practice bundle includes:
● Paper 1: Algebra, functions,calculus,finances,trig | 150 marks
● Paper 2: Statistics, probability, analytical, Euclidean,trig| 150 marks
● Full step to step memos for both papers
● Based on CAPS curriculum
Perfect for prelim and final exam preparation.
GRADE 12 MATHEMATICS: PAPER 1
Time: 3 Hours Total: 150 marks
INSTRUCTIONS
1. Answer all questions
2. A calculator may be used
3. Round off to 2 decimal places unless stated otherwise.
Question 1
Solve for x:
1.1 2x2-7x+3=0
1.2 5x+1- 5x =100
1.3 3/x-2 +2/x+1 =1,x=2;-1
1.4 Solve simultaneously; y= 2x-3 and X2+y2=13
Question 2
Given the sequence: 5;15;45;135
2.1 Write down the next term
2.2 Determine the formula for Tn
2.3 Which term of the sequence is equal to 3645?
2.4 The sum of the first n terms is 9840. Calculate n.
2.5 For what's value of n will Tn>5000
2.6 Is the sequence arithmetic or geometric? Give a reason.
2.7 Write down T10
, Question 3
Given f(x)=2x-1 and g(x)= -x+3
3.1 Write down the domain and range of f
3.2 Determine the equation of f-1 in the form y=.....
3.3 Calculate the coordinate of the point of intersection of f and g
3.4 For which value of is f(x)>g(x)?
3.5 Write down the equation of h if he(x) is f shifted 2 units up
Question 4
The 2nd term of an arithmetic sequence is 7 and the 5th term is 19.
4.1 Calculate the first term and common difference
4.2 Determine the formula for Tn
4.3 Calculate the sum of the first 20 terms
4.4 Which term has a value of 67?
Question 5
Sipho invest R15000 at 9%p.a compounded monthly.
5.1 Calculate the value of the investment after 5 years
5.2 How long will it take for the investment to double?
5.3 Sipho wants R40000. Will he have if after 10 years? Show calculation
5.4 What monthly deposit is needed to reach R100000 in 8 years at same rate?
Question 6
Given f(x)=x3-3x2-9x+5
6.1 Calculate the coordinate of the stationary points
6.2 Determine interval where f is increasing
6.3 Calculate the x-intercepts
6.4 sketch f. Show intercepts and turning points
Question 7
The cost to produce x items is C(x)=0.5x2-40x+2000
7.1 How many items must be produced to minimise costs
7.2 What is the minimum cost?
7.3 If selling price per item is R120 find the profit function p(x)
7.4 How many items must be sold to break even?
Question 8
8.1 A bag has 4 red and 6 blue balls.2 balls are drawn without replacement.
8.1.1 Probability both are red
8.1.2 Probability 1 red and 1 blue
8.2 Events A and Be are independent
P(A)=0.4, P(B)=0.5
EXAM PRACTICE BUNDLES
PAPER 1 + PAPER 2
WITH FULL MEMORANDUM
300 MARKS TOTAL
CAPS 2026
Prepared by : Nothisile K. Dlamini
Complete Grade 12 maths exam practice bundle includes:
● Paper 1: Algebra, functions,calculus,finances,trig | 150 marks
● Paper 2: Statistics, probability, analytical, Euclidean,trig| 150 marks
● Full step to step memos for both papers
● Based on CAPS curriculum
Perfect for prelim and final exam preparation.
GRADE 12 MATHEMATICS: PAPER 1
Time: 3 Hours Total: 150 marks
INSTRUCTIONS
1. Answer all questions
2. A calculator may be used
3. Round off to 2 decimal places unless stated otherwise.
Question 1
Solve for x:
1.1 2x2-7x+3=0
1.2 5x+1- 5x =100
1.3 3/x-2 +2/x+1 =1,x=2;-1
1.4 Solve simultaneously; y= 2x-3 and X2+y2=13
Question 2
Given the sequence: 5;15;45;135
2.1 Write down the next term
2.2 Determine the formula for Tn
2.3 Which term of the sequence is equal to 3645?
2.4 The sum of the first n terms is 9840. Calculate n.
2.5 For what's value of n will Tn>5000
2.6 Is the sequence arithmetic or geometric? Give a reason.
2.7 Write down T10
, Question 3
Given f(x)=2x-1 and g(x)= -x+3
3.1 Write down the domain and range of f
3.2 Determine the equation of f-1 in the form y=.....
3.3 Calculate the coordinate of the point of intersection of f and g
3.4 For which value of is f(x)>g(x)?
3.5 Write down the equation of h if he(x) is f shifted 2 units up
Question 4
The 2nd term of an arithmetic sequence is 7 and the 5th term is 19.
4.1 Calculate the first term and common difference
4.2 Determine the formula for Tn
4.3 Calculate the sum of the first 20 terms
4.4 Which term has a value of 67?
Question 5
Sipho invest R15000 at 9%p.a compounded monthly.
5.1 Calculate the value of the investment after 5 years
5.2 How long will it take for the investment to double?
5.3 Sipho wants R40000. Will he have if after 10 years? Show calculation
5.4 What monthly deposit is needed to reach R100000 in 8 years at same rate?
Question 6
Given f(x)=x3-3x2-9x+5
6.1 Calculate the coordinate of the stationary points
6.2 Determine interval where f is increasing
6.3 Calculate the x-intercepts
6.4 sketch f. Show intercepts and turning points
Question 7
The cost to produce x items is C(x)=0.5x2-40x+2000
7.1 How many items must be produced to minimise costs
7.2 What is the minimum cost?
7.3 If selling price per item is R120 find the profit function p(x)
7.4 How many items must be sold to break even?
Question 8
8.1 A bag has 4 red and 6 blue balls.2 balls are drawn without replacement.
8.1.1 Probability both are red
8.1.2 Probability 1 red and 1 blue
8.2 Events A and Be are independent
P(A)=0.4, P(B)=0.5
