- Evaluate (4 marks)
- Without using logarithm tables or calculators, solve for x in the equation 12
^{2x+1}= 4^{2x+1 }(3 marks) - Use square, reciprocal and square root tables to evaluate, correct to 4 s.f the expression below (3 marks)
- The line L
_{1 }with equation 2x + 3y = 4 is reflected along the line y=0. Find the equation L_{2}. Give your answer in the form, ax + by − c = 0 (3 marks) - A tour company in Kenya received US dollar 100,00. The money was converted into sterling pounds in a bank whose exchange rate is given below

F

If the money was erroneously converted back to kshs, find the percentage loss made. Give your answer correct to 3 d.p. (3 marks)Buying (Kshs) Selling (Kshs) 1 US Dollar 100.20 100.98 1 Sterling Pound 131.13 132.11 - The figure below shows a solid made by pasting twp equal regular tetrahedron
- Draw a net of the solid (2 marks)
- If each face is an equilateral triangle of sides 5 cm, find the surface area of the solid (2 marks)

- The straight line whose equation is 5y − 7x + 35 = 0 passes through points P, R and Q. If point Q is on the X axis, point P on the Y axis and point R is such that 2PR = 3RQ, find the equation of line AR in double intercept form given point A (3, −3) (3 marks)
- In the figure below O is the center of the circle and DOB is the diameter. Find the value of Y if angle AOD = 120
^{o}. (2 marks) - Solve the inequality and state the integral values that satisfies it (3 marks)
- Without using mathematical tables or calculators simplify the expression (3 marks)
- Without using a calculator or mathematical tables, evaluate (3 marks)
- Evaluate (3 marks)
- Use logarithms tables only to find the value of (4 marks)
- The image of triangle PQR after a rotation of 180
^{o }about (2,3) is P'Q'R. If P'Q'R is given a translation (½) the final image is P''(4, 6), Q''(3,7), and R'(3,5). Find the coordinates of the object without the use of a Cartesian plane (3 marks) - A bird flew from a point P(3, −4) to a point Q(−6, 10) and then to a point R (−24, 38)
- Write the two vectors representing the birds movement in terms of the unit vectors (2 marks)
- Show that points P,Q and R are collinear (1 mark)

- In the figure below BE//DC, AD = 8 cm, AB = √41 and AE = 5 cm

Find the area of the quadrilateral DEBC (3 marks)

**SECTION II (50 MARKS)**

*Answer*

**any**five questions from this section