58 + their 1 Their 354 ÷ 6 M1dep NB is M2 + 59 A1 SC1 1.645 for mean of six heights Q Answer Mark Comments Radius = 3 [2.9, 3.1] or Radius = 30 [29, 31] or B1 diameter = 6 [5.9 to 6.1] diameter = 60 [59, 61] π π (their radius)2 or   their diameter)2 M1 or π (any length but 6 if no diameter  17 or radius seen)2 π900 π π 900π or or 900 or 900 or   A1 π9 π π 9π or or 9 or 9 or or answer in range [2790, 2830]   SC1 if only 3, 6, 30 or 60 seen answer in range [27.9, 28.3] mm2 Accept units if seen in working but not cm2 B1 stated on answer line Shows the area of any appropriate rectangle 1 or 3 (x + 2) or 1 (3 x    M1 Allow invisible brackets + ) or 3 (x + 1) x  + 3(x + 2) x M1dep Allow invisible brackets or (3 + ) + 3(x + 1) x 18 + 3x + 6 = 12 3 + oe eg 4x + 6 = 12 x or x M1dep Invisible brackets expanded correctly + 3x + 3 = 12 1.5 A1 oe M1 Allow invisible brackets (x + 2)(x + 3) or + 1) x(x M1dep Allow invisible brackets (x + 2)(x + 3) + 1) x(x – 18 oe Invisible brackets must be expanded x2 + 2x + 3x + 6 x2 x = 12 M1dep – – Alt 1 correctly 1.5 A1 oe eg eg x = 1 gives (1 + 9) = 10 18 Guess a value for and correctly x M1 or (4 + 6) = 10 x = 0.5 Alt 2 works out area below 12 cm2 gives 8
Their 354 ÷ 6 M1dep 58 + their 1 NB + is M2 59 A1 SC1 1.645 for mean of six heights Q Answer Mark Comments 17 Radius = 3 [2.9, 3.1] or diameter = 6 [5.9 to 6.1] B1 Radius = 30 [29, 31] or diameter = 60 [59, 61] π  (their radius)2 or π  their diameter)2 or π  (any length but 6 if no diameter or radius seen)2 M1 9π or π9 or 9  π or π  9 or or answer in range [27.9, 28.3] A1 900π or π900 or 900  π or π  900 or answer in range [2790, 2830] SC1 if only 3, 6, 30 or 60 seen cm2 B1 mm2 Accept units if seen in working but not stated on answer line 18 1  x or 3  (x + 2) or 1  (3 + x ) or 3  (x + 1) M1 Shows the area of any appropriate rectangle Allow invisible brackets x + 3(x + 2) or (3 + x ) + 3(x + 1) M1dep Allow invisible brackets x + 3x + 6 = 12 or 3 + x + 3x + 3 = 12 M1dep oe eg 4x + 6 = 12 Invisible brackets expanded correctly 1.5 A1 oe 18 Alt 1 (x + 2)(x + 3) or x(x + 1) M1 Allow invisible brackets (x + 2)(x + 3) – x(x + 1) M1dep Allow invisible brackets x2 + 2x + 3x + 6 – x2 – x = 12 M1dep oe Invisible brackets must be expanded correctly 1.5 A1 oe eg 18 Alt 2 Guess a value for x and correctly works out area below 12 cm2 M1 eg x = 1 gives (1 + 9) = 10 or (4 + 6) = 10 x = 0.5 gives 8