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Mathematics Questions and Answers - Form 2 Mid-term Exams Term 1 2022

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INSTRUCTIONS : Answer all questions in the spaces provided

• 456 × 397     273
• 0.1468 3 +      1       (2mks)                  27.38
• Determine the gradient and the y-intercept of the following equation (3mks) 1 / 3 x +  2 / 5 y+ 1 / 6  = 0
• Find an equation perpendicular to the line 2y=3x+4 and passing through point (2, 6) (4mks)
• The linear scale factor (2mks)
• The area scale factor (1mk)
• By substitution method, solve the following simultaneous equations 2x + 4y = 16 3x - y = 2 (3mks)

• Find the equation of the line of symmetry of the quadrilateral formed in (a) above. (2mks)
• Draw the image of quadrilateral PQRS under a reflection in the line y=x and give the coordinates of the image. (3mks)
• Find the equation of the line of symmetry of the image (2mks)

MARKING SCHEME

• Determine the gradient and the y-intercept of the following equation (3mks) 1 / 3 x +  2 / 5 y+ 1 / 6  = 0 5/2 × 2/5y = -1/6  × 5/2 - 1/3x  × 5/2 y = (-1/6 × 5/8) - 1/3x × 5/2 y = 5/48 - 5/6x Gradient = -5/6
• Find an equation perpendicular to the line 2y=3x+4 and passing through point (2, 6) (4mks) M 1 M 2 = -1 2y = 3x + 4 2      2      2 y = 3/2x + 2 M 1 = 3/2 2/3 × 3/2 × m 2 = -1 × 2/3 m 2 = -2/3 y - 6 = 2 x - 2    3 3y - 18 = -2x + 4 3y = 2x + 22 3      3      3 y = -2/3x + 22/3
• The linear scale factor (2mks) 3√27 = 3 L.S.F = 3
• The area scale factor (1mk) A.S.F = (L.S.F) 2 32 = 9
• By substitution method, solve the following simultaneous equations 2x + 4y = 16 3x - y = 2 (3mks) 2x(2x + 4(3x - 2)) = 16 2x + 12x - 18 = 16 14x = 24 14     14 x = 12/7 y = 3x - 2 y = (3 × 12/7) - 2 y = 36/7 - 2/1 y = 36 - 14          7 y = 22/7

• Find the equation of the line of symmetry of the quadrilateral formed in (a) above. (2mks) P(-3,7) and R(-3,1) therefore gradient = -3
• Draw the image of quadrilateral PQRS under a reflection in the line y=x and give the coordinates of the image. (3mks) P 1 = (7, -3) Q 1 = (3, -5) R 1 = (1, -3) S 1 = (3, -1)
• Find the equation of the line of symmetry of the image (2mks) P(7, -3) R(1,-3) Gradient y = -3

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