KZN-Maths-Grade-10-June-2025-P1-and-Memo.pdf

Testpapers.co.za KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA NATIONAL R CERTIFICATE | GRADE 10 EVUTTSES SSS ST TESTS See eee eee eee EET es MATHEMATICS P1 COMMON ASSESSMENT TASK JUNE 2025 TEST. “Reseseecseseseesesesesesseseseseesesessssesssescesosercsesess® ® MARKS: 50 TIME: 1 hour This question paper consists of 5 pages. Copyright Reserved Please Turn Over

Matt Testpapers.co.za June 2025 Test CAPS - Grade 1U tle 2. Answer ALL the questions. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining your answers. 5. Answers only will NOT necessarily be awarded full marks. 6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. Z. If necessary, round off answers correct to TWO decimal places, unless stated otherwise. 8. Write neatly and legibly. Copyright Reserved Please Turn Over

Matt Testpapers.co.za CAPS - Grade 1U QUESTION 1 Consider the expression: K= ss ‘ vn+5 1.2. Kis undefined. 1.3. Kis non-real. Copyright Reserved June 2025 Test Please Turn Over (1) (1) (1) [3]

Matt Testpapers.co.za CAPS - Grade 1U QUESTION 2 2.1 Simplify the following expressions fully: 211A 2-5X 2.1.2 -2(2x+ 3)(3x- 2.1.3 (4x41)? ~ (3x41 2.2 Factorise the following expression completely: xX (x-1) +25(1- QUESTION 3 3.1 Solve for x if: Copyright Reserved June 2025 Test (2) (3) (3) (3) [11] Please Turn Over

Matt Testpapers.co.za June 2025 Test CAPS - Gfade 1U 311 3-18 (3) x ~3< 2—x<0, where x €R and represent your answer on a number 3.1.2. line. (3) 3.2 A father is twice as old as his son. Twelve years ago, the father was three times the son’ s age. How old is the.son now? 33 If e+ a= 12 and ¥ +1 fahimore physics.com Determine the value of (4) [14] QUESTION 4 4.1 arly indicate all the intercepts with the axes (3) (1) 4.1.3. Determine the value(s) of x for which f(x) >0. (2) 4.1.4 Describe the transformation from f to hin words if Hx =-(x-1)(x+1). (2) Copyright Reserved Please Turn Over

Matt Testpapers.co.za | June 2025 Test CAPS - Grade 1U 4.2 Determine the equation of the function KX=24g with the horizontal asyn ptote y= 3The straight line f(x) = x+2 intersects with the graph of k at i (3) 111] QUESTION 5 fdtimorephysics.com Given: f(x)=-x+1 and A» -242, which are not drawn to scale. R and S$ are points of intersection of the graphs. DBQ is a line perpendicular to the x- axis with DandBong and f respectively. The coordinates of Q are (—1;0). Copyright Reserved Please Turn Over

Matt Testpapers.co.za June 2025 Test CAPS - Grade 1U Determine: 5.1 the equation of the line of symmetry of g with a negative gradient. (2) 5.2. the coordinates of Rand S. (6) 5.3 — the length of DB. (3) [11] TOTAL: 50 tahimorephysics.com Copyright Reserved Please Turn Over

Testpapers.co.za Downloaded from Stanmorephysics.com FINAL KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA H MARKS: 50 This question paper consists of 5 pages. Copyright reserved Please turn over

Testpapers.co.za Bawnloaded from Stanmorephysics. com Common Test June 2025 'S — Grade 10 Marking Guideline QUESTION 1 s 3n Consider the expression: = K= e vn+5 ll | n=O vA answer a) 1.2 n=+5 v A answer a) 3 n<-S5 vA answer a) [3] QUESTION 2 2.1.1 | 8p—20px VA 8p VA —20px or — 20xp (2) v A products ¥CA simplification ¥CA answer YA (4x-6) ¥CA products ¥CA answer (3) YA 16x* +8x4+1 =7x? +8x+2 VA -9x° +1 ¥CA answer (3) 2 | ave) VA -(x-1) =(x-I)(x? —25) VA (x— I)asaccf. =(x-1)(x-5)(x+5) ¥CA answer OR =-x (1-x)+25(1-x) YA (1-x) =(I-x)(25-2") VA (25-x") =(1-x)(5+x)(5-x) ¥CA answer (3) [11] Copyright reserved Please turn over

Testpapers.co.za Bownloaded from Stanmorephys ysics.com Common Test June 2025 'S — Grade 10 Marking Guideline QUESTION 3.. 3.1.1 Tae — x 42h 3x—18 =0 Pn vent nn std. form (x+3)(x-6)=0 , ¥CA factors x=+3 or x=6 ¥CA both x-values (3) 3.1.2 vA subtracting 2 ¥CA answer ¥CA number line G3) 3.2 _| A father is twict was three times the Period priate VA 2x & 2x-12 12 years ago YA x & x-12 2x-12=3(x- 2x-12=3x-36 ¥CA equation x=24 ¥CA answer (4) .. His son is 24 years old. 33 x 34 t a12 and x? ae x x x He. -(x+4}(© -1+5] x x x 12-(x+2}0-n x x+ Dies 2 7 1 2% YCA x+—=2 1 x “x+—43=5 ¥CA answer x (4) [14] Copyright reserved Please turn over

Testpapers.co.za Bawnloaded from Stanmorephysics. com Common Test June 2025 'S — Grade 10 Marking Guideline QUESTION 4. 4.1 | Given: f(x)=-x° +4 4.1.1 } : YA turning point YA x — intercepts x ¥ A shape (concave down) GB) 4.1.2 | y<s4 OR ye(-«;4] ¥CA answer dd) 4.13} -2<x<2 OR xe(-2;2) YCA__ interval YA notation (2) 4.1.4 | A(x) =-x +1 YA A(x)=-x° +1 : hifted or translated d¢ meby 3 units YA down by 3 units R ONLY: FULL MARKS @) YAq=3 vA subst. a point (2:4) ¥CA answer (3) [11] Copyright reserved Please turn over

Testpapers.co.za Bewnloaded from Stanmorephysics.com Common Test June 2025 CAPS — Grade 10 Marking Guideline QUESTION 5. 5.1 y==x+2 vA -x VA 42 (2) 5.2 2, a =-x41 vA equating x = +1=-x # x+x-2=0 ¥CA std. form (x-D(x+2)=0 ¥CA factors x=lorx=-2 | YCA values of x " =0or y=3 YCA coordinates of S “ S030) RC YCA coordinates of R OR O=-x+1 YA coordinates of S a#=1 “S0;0) vA equating YCA std. form ¥CA factors YCA value of xr ¥CA coordinates of R (6) 53 VA g(-l) YA f(-1) -. DB = 2 units ¥ CA answer (3) [11] TOTAL: 50 Copyright reserved Please turn over