Mathematics Grade 10 IEB Paper 1 November 2013 Question Paper

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Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination ST PETER’S COLLEGE MATHEMATICS GR 10 NOVEMBER EXAMINATION PAPER 1 Examiner: Mrs. M. Horwood Date: 13/11/2013 Session: 1 Moderators: Mrs B Steynberg, Mrs A Gallucci, Mr W Sokana Marks: 100 Time: 2 Hours Name of Candidate:________________________________________________________ Name of Maths Teacher: ____________________________________________________ For examiner’s use only SECTION A SECTION B QUESTION 1 2 3 4 5 6 7 8 9 10 11 12 Total Level Of 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 3/4 3/4 3/4 3/4 Cognitive Demand ACTUAL MARK POSSIBLE 2 5 9 12 6 4 13 6 8 5 23 7 100 MARK Marker’s Signature INSTRUCTIONS TO CANDIDATES 1. This paper consists of 7 pages. 2. This paper is answered on lined paper. Please answer on the diagram sheet in appropriate questions. 3. Show all relevant steps in calculations. Providing answers only will not earn any of the method marks. Round off to 2 decimals places where applicable. 4. Calculators may be used, unless otherwise stated. Good Luck Page 1 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination SECTION A Question 1: Simplify: ( )( ) [2] Question 2: Factorise completely: 2.1 (3) 2.2 ( ) (2) [5] Question 3: Solve for : 3.1 (3) 3.2 (3) Solve for and illustrate your answer on a number line: 3.3 ( ) ( ) (3) [9] Question 4: 4.1 Use the given term rule to calculate . (1) 4.2 Write down the next 2 terms of this number pattern: 1; 3; 4; 7; ………. (1) 4.3 Find the general term of the following: ………… (2) Page 2 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination 4.4 4.4.1 How many squares will pattern 5 have? (2) 4.4.2 Make a conjecture (an opinion or theory, without showing necessary proof ) about the number of squares in any pattern. (2) 4.4.3 Write down an algebraic statement to generalize the relationship between the number of squares and the pattern number. (2) 4.4.4 How many squares will pattern 15 have? (2) [12] Question 5: Mr Jones buys a refrigerator for R3999;00. He pays 12% of the cost in cash and for the balance he signs a hire purchase agreement for 3 years. The interest rate is 22.1%. Calculate: 5.1 If Mr Jones also has to pay an insurance premium of R9.60 per month, calculate his monthly installment. (5) 5.2 How much will the refrigerator have cost Mr Jones after 36 months? (1) [6] Question 6: R12 000 is invested at 6.7% pa CI for 2 years. The interest rate is decreased to 6.2% pa for the next 3 years. Calculate the value of the investment at the end of 5 years. [4] Page 3 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination Question 7: At a supermarket the first 350 shoppers one morning bought the following food: 182 bought meat, 226 bought milk and 170 bought bread. If 92 people bought meat and milk, 126 bought milk and bread, 76 bought meat and bread and 52 bought all three items. 7.1 Represent this information in the Venn diagram on the Diagram sheet. (8) Find, with the use of your Venn diagram, the probabilities of shoppers chosen at random: 7.2 Those who bought bread but not meat or milk. (1) 7.3 Those who bought meat or milk. (1) 7.4 Those who bought bread and milk but no meat. (1) 7.5 Those who bought meat or bread but no milk. (1) 7.6 Those who bought none of these specified items. (1) [13] Question 8: Calculate the values of q in the following graphs: 8.1 Page 4 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination (2) 8.2 (2) 8.3 (2) [6] Page 5 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination SECTION B Question 9: Solve for 9.1 (4) 9.2 (4) [8] Question 10: Simplify: [5] Question 11: Sketched are the graphs of ( ) and ( ) Determine: 11.1 The co-ordinates of A and B. (3) 11.2 The length of OC. (2) 11.3 The co-ordinates of D. (4) 11.4 The length of OE. (2) Page 6 of 7

Downloaded from hlayiso.com St Peter’s College Gr 10 Mathematics Paper 1 November Examination 11.5 The distance FG if OH is 4 units. (4) 11.6 The co-ordinates of I and J if IJ=4 units. (4) 11.7 The values of for which ( ) (2) 11.8 The equation of a new graph ( ) formed by reflecting ( ) in the axis and moving it up two units. (2) [23] Question 12: You are given the following number pattern: 12.1 Using the above pattern, determine the value of (2) 12.2 A conjecture (an opinion or theory) for the pattern is: “Any integer squared, less its consecutive integer squared, equals the negative of that integer less its consecutive integer.” Write this conjecture as a Mathematical equation and prove that it is correct. (5) [7] Page 7 of 7 Powered by TCPDF (www.tcpdf.org)