Mathematics and Mathematical Literacy - Thutong

Mathematics (NSC)/Grade 10/P1 81 ExemplarMEMORANDUMGrade10 Mathematics: Memorandum Paper 11.1 0,0 9 11.2 6² = 367² = 4939 lies between 6 and 7 21.3.1 -3 < x ≤ 4 21.3.2 -2 11.4.1 x(x − 3) 21.4.2 (2x + 1)(x − 3) 21.4.3 x 2 − 1 − y − xy= (x + 1)(x − 1) − y (x + 1)= (x + 1)(x − 1 − y ) 41.4.4 (x + 2)(x 2 − 2x + 4) 21.5.1 a = 2 11.5.2 A = (270°; -2) 21.5.3 360° 11.5.4 y= 2sinx + 1 12.1.1 (x 2 − 4x + 4) (x + 2)= x 3 + 2x 2 − 4x 2 − 8x + 4x + 8= x 3 − 2x 2 − 4x + 8 32.1.2 5(x − 3) − 2(2x + 1)105x − 15 − 4x − 2=10= x − 17102.1.3 2 x + 1 . 3 2x-1(3 2 × 2) x = 2x + 1 .3 2x-13 2x .2 x = 2 x + 1-x 2x-1 -2x.3= 2.3 -1 = 2 3 42.2.1 x 2 − x − 6 = 6∴ x 2 − x − 12 = 0 ∴ (x − 4 )(x + 3) = 0∴ x = 4 or x = −3 52.2.2 2 2x + 1 = 2 5 ∴ 2x + 1 = 5∴ 2x = 4∴ x = 2 33.1.1 R7,36 13.1.2 10 13.1.3 R600 ÷ 0,06472 ≈ ¥ 9270ORR600 × 15,4504≈ ¥ 9270 23.1.4 R600 ÷ 14,61 ≈ £ 41ORR600 × 0,0684≈ £ 41 23.2 A = p(1 + i) n i = 0,056 ÷ 12 = 0,00467n = 3 × 12 = 36A = R5 000(1 + 0,00467) 36 = R5 913,08 644.1 B lives closer to Johannesburg. The y-intercept of B is less than the y-intercept ofA 24.2 A traveled faster. The gradient of graph Ais steeper than the gradient of graph B A covered a greater distance in the sametime as B 35.1.1g(x) = 6 - 2x-5 -4 -3 -2 -1-11 2 3 4 5-2-3-4-5-6-7-8h(x) = x 2 - 9-9for parabola for straight line65.1.2 -3 ≤ x ≤ 35.1.3 h(x) on graph 25.1.4 h(x) = x 2 − 9 25.2.1 4 = a 2 2 = a 21413121110987654321yf(x) = -x 2 + 95.2.2 B = ( 2 ; 2 ) 25.2.3 C = (0;1) 25.2.4 D = (2;2) 25.2.5 (2:2) 25.2.6 y > 0 ; y ∈ R 16.1 5² = 255 3 = 125∴2 < x < 3There must be some evidence of trial anderror with the use of a calculator. x ≈ 2,7 36.2.1Area 2 4 6 8 20 82Number ofmatches7 12 17 22 27 207 6.2.252 (2n) + 2 = 5n + 2 27.1.1 2647.1.2 5727.1.3 693 17.2 You insert the sum of the two digits of thetwo-digit number between the two numbersto get the answer. 37.3 Students’ examples and justification of theirconjecture. 37.4 11 × (10 x + y) = 100 x + 10(x + y) + yLHS: 110 x + 11y RHS: 100 x + 10x+ 10y +y = 110 x+ 11y 4x4Copyright reserved