Answer the following
- Solve the equation: 3x² - 7x - 6 = 0 [3 marks]
- Simplify: (a²b³)⁻² × a⁴b⁵ [3 marks]
- A map has a scale of 1 : 25000. A lake on the map has an area of 3 cm². Calculate the actual area of the lake in km². [3 marks]
- Solve the simultaneous equations: 2x + 3y = 13 5x - 2y = 7 [4 marks]
- A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. Calculate the probability that both balls are the same color. [4 marks]
- The sum of two consecutive integers is 29. Find the integers.(3 marks)
- In the quadrilateral ABCD, AB = 7 cm, BC = 5 cm, CD = 8 cm and AD = 10 cm. Angle ABC = 90°. Calculate: (a) The area of triangle ABC [2 marks] (b) The length of AC [3 marks] (c) The size of angle ADC [3 marks]
- The perimeter of a rectangle is 24 cm. The length is twice the width. Find the dimensions of the rectangle.(4 marks)
- Find the angle between the hour and minute hands of a clock at 3:00 PM. (4 marks)
- In the Quadrilateral ABCD, AB∥ CD, AD=5cm, BC=8cm, ∠ABC=90°. Find the area of the Quadrilateral ABCD. (6 marks)
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