# Mathematics Grade 11 Free State March Test 2022 Paper & Memo > Grade 11 Mathematics question paper and memo from the Free State March Test 2022, 12 pages. Read online or get the free PDF download. - Page: https://www.hlayiso.com/library/fs-maths-march-2022-gr11-qp-and-memo/af26c296-8114-4c48-9e73-2cca5dfbac5e - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 11 - Document type: Question paper and memo - Year: 2022 - Exam period: Free State March Test - Curriculum: CAPS - Pages: 12 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Mathematics](https://www.hlayiso.com/library/grade-11/mathematics) › [Mathematics Grade 11 Free State March Test 2022 Paper & Memo](https://www.hlayiso.com/library/fs-maths-march-2022-gr11-qp-and-memo/af26c296-8114-4c48-9e73-2cca5dfbac5e) ## About this document Mathematics · Grade 11 · Free State March Test · 2022. Question paper and memorandum, 12 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 education Department of Education FREE STATE PROVINCE Downloaded from testpapers.co.za [ GRADE 11 ♦ ,� �----------------------------- �------------� ,, � MATHEM II II II II II II II II II II II ,,II -----------------------------�� #/ This question paper consists of 6 pages Copyright reserved Please turn over ### Page 2 Downloaded from hlayiso.com FS/MARCH 2022 NSC INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of THREE questions. 2. Clearly show ALL calculations, diagrams, graphs, etc. that you have used to determine your answers. 3. Answers only will NOT necessarily be awarded full marks. 4. If necessary, round off answers to TWO decimal places, unless stated oth se. � 5. Diagrams are NOT necessarily drawn to scale. c,O 6. You may use an app roved scie n tific calculato r (n�;ramm able an d ated ot e ise � h � r a u � 7. :�:: ::::: :d � :::1: 2 ### Page 3 Downloaded from hlayiso.com FS/MARCH 2022 NSC QUESTION 1 1.1 Solve for x. 1.1.1 (x-2)(x+7)=0 (2) 1.1.2 x(5x-3)=1 (Correct to TWO decimal places) (4) 1.1.3 X 2 -X-6<0 (3) 1.1.4 (4) 1.1.5 .J2x-1 + 2 = X (4) � 1.2 Solve for x and y simultaneously x+6 = 2y ♦ 2 x2 + 2xy = 3 y (6) [23] QUESTION 2 2.1 Simplify the following without using a calc�{;/.� gx+l _ 5_32x 2.1.1 C:J \) (4) ( ✓3 x+l )4 2.1.2 R-� ✓x (4) 2.2 Determine the valu�'fk for which the equation ! � x' - x + 1 k * where k o Qal roots. � ( 5) [13] 3 ### Page 4 Downloaded from hlayiso.com FS/MARCH 2022 NSC QUESTION 3 Give reasons for your statements and calculations in Question 3 3.1 Complete the following statement 3.1.1 Oppositeangles of a cyclic quadrilateral are.................................. (1 ) 3.2 In the diagram below, O is the centre of the circle. A, B and C are points on the circumference of the circle. AB, AC and OC are drawn. A Prove the theorem which states that BOC= 2x BAC (5) 4 ### Page 5 Downloaded from hlayiso.com FS/MARCH 2022 NSC 3.3 In the diagram, O is centre of the circle. Points A, B, C and D lie on the circumference of the circle. BOD is a diameter. 'f:\ = 51' and 131 = 29-·. A line is drawn from Oto F such that the length of BC= 24m and radius of the circle centred Ois 13m. A 3.3.1 Determine the size of COB (2) 3.3.2 Determine the size of A2 . (2) 3.3.3 Determine the size of 5. (1 ) 3.3.4 Determine the length of OF. ( 3) [14] TOTAL [50] 5 ### Page 6 Downloaded from hlayiso.com FS/MARCH 2022 NSC INFORMATION SHEET -b± b -4ac X=----- ✓ 2 2a A= P(l+ ni) A= P(l-ni) A=P(l-i) n A=P(l+it S n =�[2a+(n- l)d] 2 a r n -1) ;r:;i=l a Tn = ar -i Sn = ( S =-· -l0 ✓�>0 4 O