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Grade 12 Mathematics (MATH) June Paper 1 and Memo - 2024 CA$3.94   Add to cart
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Grade 12 Mathematics (MATH) June Paper 1 and Memo - 2024
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  • Course
  • Mathematics
  • Institution
  • 12th Grade

Grade 12 Math June Paper 1 and Memo: Total:  150 Marks. Contents of the exam paper contains the following details: Algebra and Equations Series and Sequences Quadratic Patterns Functions and Graphs Financial Mathematics Calculus Probability and Statistics This is a practice paper w...

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Document information

  • May 26, 2024
  • 19
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

Subjects

  • mathematics

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  • 12th Grade
  • Mathematics
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Gr. 11 Mathematics
Term 2 - 2024
Paper 1
Total:150 marks Time:2 hours


Learner's name: ________________________________ Gr. 12: __________.




Instructions and information:


 This paper consists of five questions, answer all the questions.
 You may use a non-programmable and non-graphing calculator.
 No Tip – Ex may be used
 Show all the steps needed to arrive at the answer.
 Good luck!!



Topics covered in this test:

 Algebra and Equations
 Series and Sequences
 Quadratic Patterns
 Functions and Graphs
 Financial Mathematics
 Calculus
 Probability and Statistics



1|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 June Paper 1

,QUESTION 1

1.1 Solve for x :

2
1.1.1 x −16=0 (2)

3 7
1.1.2 - =0
x x+1
(4)

1.1.3 x=2+ √ 8−x (5)

2
1.1.4 3 x +5 x−20 ≥ 0 (3)



1.2 Solve simultaneously for x and y in: (6)

3 x+ 4 y =5

5 y−2 x=3



√
2
3 n +2 n
1.3 Simplify completely, WITHOUT the use of a calculator: 2
(4)
n + 6 n+5

[17]



QUESTION 2

y y y
Given the following geometric series: y + + + + …
2 4 8

2.1.1 Determine the value of r , the common ratio, in term of y (1)

2.1.2 Determine the values of y for which this series converges. (2)

2.1.3 If y=5 , determine the sum of the series to 10 terms. (3)



2.2 Calculate




2|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 June Paper 1

, ( )
4
1
∑ 5
k (3)
k =1




2.3 The sum of the first n terms of an arithmetic series is given by: Sn=2n 2+3 n

2.3.1 Calculate the sum of the first 12 terms. (2)

2.3.2 Calculate the value of T 12 (2)

2.3.3 If the first term of this series is 9, which term in the series will have a value
of 225? (4)

[11]

QUESTION 3

3.1 Consider the following quadratic number pattern: 120 ; 88 ; z ; 44 ; . . .

3.1 Determine the value of z . (2)

3.2 If z=64 determine the general term of the number pattern in the form
2
T n=a n +bn+ c (4)
3.3 Detemine T 20 (1)

3.4 Which term in the number pattern will be equal to 1 500. (4)

[11]

QUESTION 4


The graph of g ( x )=a ()
1 x
3
+7 passes through point E (-2 ; 10).


4.1 Calculate the value of a (3)

4.2 Calculate the coordinates of the y−¿ intercept of g (2)




()
x
1
4.3 Consider: h ( x )=
3


3|Page www.summariessa.co.za M a t h e m a ti c s
Grade 12 June Paper 1

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