# Mathematics Grade 12 Limpopo March 2022 Question Paper > Grade 12 Mathematics question paper from the Limpopo March 2022, 9 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/limp-maths-march-2022-gr12-qp-only/7807f69b-17f9-4a54-b222-57b041e94b4a - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 12 - Document type: Question paper - Year: 2022 - Exam period: Limpopo March - Curriculum: CAPS - Pages: 9 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Mathematics](https://www.hlayiso.com/library/grade-12/mathematics) › [Mathematics Grade 12 Limpopo March 2022 Question Paper](https://www.hlayiso.com/library/limp-maths-march-2022-gr12-qp-only/7807f69b-17f9-4a54-b222-57b041e94b4a) ## About this document Mathematics · Grade 12 · Limpopo March · 2022. Question paper, 9 pages. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com VHEMBE WEST DISTRICT GRADE 12 MATHEMATICS CONTROL TEST 1 – 2022 DD DATE: 11 MARCH 2022 MARKS: 50 DURATION: 1 HOUR This question paper consists of 09 pages including formula and diagram sheet. Copyright reserved Please turn over Page 0 of 9 ### Page 2 Downloaded from hlayiso.com INSTRUCTIONS 1. Read and answer all questions carefully. 2. It is in your own interest to write legibly and to present your work neatly. 3. All necessary working which you have used in determining your answers must be clearly shown. 4. Approved non-programmable calculators may be used except where otherwise stated. Where necessary give answers correct to 2 decimal places unless otherwise stated. 5. Ensure that your calculator is in DEGREE mode. 6. Diagrams have not necessarily been drawn to scale. 7. Use spaces provided on the question paper to answer Question 4 and 5. Page 1 of 9 ### Page 3 Downloaded from hlayiso.com Question 1 1.1. Given : 0; 5; 16; 33 are the first four terms of the quadratic sequence. 1.1.1. Show that the n th term is given by, Tn  3n 2  4n  1 . (4) 1.1.2. Determine which term in the sequence is equal to 5896? (2) [06] Question 2 2.1 The first three terms of an arithmetic sequence are 2𝑝 − 3 ; 𝑝 + 5 ; 2𝑝 + 7. 2.1.1. Determine the value(s) of p. . (2) 2.1.2. Calculate the sum of the first 120 terms. (2) 2.2 The following pattern is true for above arithmetic sequence: T1  T4  T2  T3 T5  T8  T6  T7 T9  T12  T10  T11 Tk  Tk 3  Tx  Ty 2.2.1. Write the value of x and y in terms of k . (2) 2.2.2. Hence, calculate the value of Tx  Ty in terms of k in simplest form. (4) [10] Question 3 3.1. Consider the following geometric sequence: 3 81 3 sin 30 0 ; cos30 0 ; ;…. 2 2 Determine the number of terms in the sequence. (4) Page 2 of 9 ### Page 4 Downloaded from hlayiso.com 3.2. Rectangles of width 2 cm are drawn from the edge of a sheet of paper that is 40 cm long such that there is a 2 cm gap between on rectangle and the next. The length of the first rectangle is 27 cm and the length of each successive rectangle is 85% of the length of the previous rectangle until there are rectangles drawn along the entire length of PS. Each rectangle is coloured dark grey. 3.3.1. Calculate the length of 12th rectangle. (3) 3.3.3. Calculate the percentage of paper is coloured dark grey. (4) [11] Page 3 of 9 ### Page 5 Downloaded from hlayiso.com Question 4 4.1. In the figure below below, O is the centre of the circle with P , Q and R on the circumference. SR is the tangent to circle centre O at R. ^ ^ (5) Prove that PRS  Q Page 4 of 9 ### Page 6 Downloaded from hlayiso.com 4.2 In the figure below, E is the centre of the circle and DE is perpendicular to AB . AC and DE intersect at F and DF  DC . 4.2.1. Prove that BEFC is a cyclic quadrilateral. (3) 4.2.2. Prove that DC is a tangent at C (3) Page 5 of 9 ### Page 7 Downloaded from hlayiso.com Question 5 In the diagram, circle ABSR is drawn. Chords RA and SB produced to meet at P . PA  RS and QT // AB . 5.1. Prove that PSR /// PAB (3) Page 6 of 9 ### Page 8 Downloaded from hlayiso.com 5.2. PS  BA  SR 2 (3) 5.3. PT 2 (3) If RS  10cm and  calculate the length of PQ . TB 3 5.4. area of PAB Calculate area of PTQ Page 7 of 9 ### Page 9 Downloaded from hlayiso.com INFORMATION SHEET: MATHEMATICS  b  b 2  4ac x A  P(1  ni) A  P(1  ni) A  P(1  i ) n 2a n n n(n  1) A  P(1  i ) n 1  n i  Tn  a  (n  1)d i 1 i 1 2 Sn  n  2a  (n  1)d  Tn  ar n1 S n  a r  1 n  ; r 1 S  a ; 1  r  1 2 r 1 1 r F  x 1  i   1 n  P x[1  (1  i)n ] f ' ( x)  lim f ( x  h)  f ( x) i i h 0 h  x  x 2 y1  y 2  d  ( x 2  x1 ) 2  ( y 2  y1 ) 2 M  1 ;   2 2  y 2  y1 y  mx  c y  y1  m( x  x1 ) m m  tan  x 2  x1 x  a 2   y  b2  r 2 In ABC: a  b  c a 2  b 2  c 2  2bc. cos A sin A sin B sin C 1 area ABC  ab. sin C 2 sin      sin . cos   cos.sin  sin      sin . cos   cos.sin  cos     cos. cos   sin .sin  cos     cos. cos   sin .sin  cos2   sin 2   cos 2  1  2 sin 2  sin 2  2 sin  . cos 2 cos2   1  n 2  fx  x  x  i x   2 i 1 n n n( A) P( A)  P(A or B) = P(A) + P(B) – P(A and B) nS  yˆ  a  bx b  x  x ( y  y )  (x  x) 2 Page 8 of 9 ## Related documents - [MATHS P2 QP GR12 JUNE 2022 Afrikaans](https://www.hlayiso.com/library/maths-p2-qp-gr12-june-2022-afrikaans/49feb536-3d0c-4e63-b857-c88def50a8c1) — Mathematics · QP · 2022 · Afr - [Gr12 Mathematics P1 (English) SEP 2022 Question Paper](https://www.hlayiso.com/library/gr12-mathematics-p1-english-sep-2022-question-paper/14941e0e-8578-4c8c-ba9e-f87f93e33e32) — Mathematics · QP · 2022 · Eng - [MATHS P1 GR12 MEMO JUNE 2022 English Afrikaans](https://www.hlayiso.com/library/maths-p1-gr12-memo-june-2022-english-afrikaans/9b15b6bd-06b3-48e5-b6d7-c1e74e052ebf) — Mathematics · Memo · 2022 · Afr - [MATHS P2 GR12 ANSWER BOOK SEPT 2022 Afr Engl](https://www.hlayiso.com/library/maths-p2-gr12-answer-book-sept-2022-afr-engl/4744df95-ec05-48bc-b20c-0ae44310bc55) — Mathematics · Addendum · 2022 · Afr - [MATHS P2 GR12 MEMO SEPT 2022 Afr English](https://www.hlayiso.com/library/maths-p2-gr12-memo-sept-2022-afr-english/484afb47-d30d-4a37-b0fc-e0cc6e34a50f) — Mathematics · Memo · 2022 · Eng - [FS Maths Grade 12 SEPT 2022 P2 and Memo](https://www.hlayiso.com/library/fs-maths-grade-12-sept-2022-p2-and-memo/99fbca0f-2edf-40fb-8442-d4705610d749) — Mathematics · Memo · 2022 ## More from Grade 12 Mathematics - [MATHS P1 ANSWER BOOK GR12 SEPT 2025 English Afrikaans watermark](https://www.hlayiso.com/library/maths-p1-answer-book-gr12-sept-2025-english-afrikaans-watermark/d78c3fd3-dcd5-4f3f-911b-e5635b4686cc) — Addendum · 2025 · Afr - [MATHS P2 MEMO GR12 SEPT 2025 E+A watermark](https://www.hlayiso.com/library/maths-p2-memo-gr12-sept-2025-e-a-watermark/838d50ea-fdac-4e70-8d62-e365a012252f) — Memo · 2025 - [Maths Grade 12 NSC P2 MEMO September 2025 Eng Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-memo-september-2025-eng-northern-cape/f00a552e-132c-4871-bf72-c887cfc67272) — Memo · 2025 · Eng - [MATHS P2 ANSWER BOOK GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-answer-book-gr12-june-2024-afr-english/4a71e975-4ac4-4f55-8e23-0b8155a5b0c6) — Addendum · 2024 · Eng - [MATHS P2 MEMO GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-memo-gr12-june-2024-afr-english/4a5f997e-e38d-4abb-b726-8b72e6672832) — Memo · 2024 · Eng - [MATHS P1 GR 12 MEMO SEPT 2024 English+Afrikaans](https://www.hlayiso.com/library/maths-p1-gr-12-memo-sept-2024-english-afrikaans/f0eedb8f-ec6f-4f46-9885-3933cd274781) — Memo · 2024 · Afr ## Collection - [Grade 12 past papers](https://www.hlayiso.com/grade-12/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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