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Sma0011: Question Paper

Sma0011:

Course:Diploma In Agriculture

Institution: Meru University Of Science And Technology question papers

Exam Year:2013

QUESTION ONE (30 MARKS) a) If = 1 2 4 3 , = 5 1 6 2 and 1 1 1 2 Evaluate i. 2 (2 Marks) ii. 2 (3 Marks) iii. (3 Marks) b) A rectangular container measuring 10cm by 12cm by 15cm is filled with water. The water is then poured into a second container measuring 18cm long and 16cm wide. i. Find the depth of the water in the second container. (4 Marks) ii. Determine the capacity of the second container in litres. (4 Marks) c) Draw the graph of = 8 2 2 for the value of x from -5 to +3. Take 1cm to represent 1 unit on the x-axis and 1cm to represent 2 units on the y-axis. Use your graph to find i. The highest value of 8 2 2 and its corresponding value of x. (5 Marks) ii. The value of x when 2 2 = 4 (3 Marks) d) The following table shows how a student spends his day
2
Activity Hours Lesson attendance 6 Eating 2 Games 3 Homework 3 Sleeping 8 Others 2
Represent this data on a pie chart. (6 Marks)
SECTION B
QUESTION TWO (15 MARKS)
a) Find the area of a regular hexagon if the length of each vertex from the centre us 8cm. (6 Marks) b) Use the graph of = 4 + 4 2 to solve the equation 4 + 42 2 = 0.(9 Marks)
QUESTION THREE (15 MARKS)
a) After an accident, police enclosed the accident area with four posts which formed a kind of a parallelogram of area 2.16m2. If the sides of the parallelogram measured 1.2m by 2m, find the acute angle formed by the parallelogram. (8 Marks) b) Solve the following simultaneous equation using the matrix method. (7 Marks) 4 + 3 = 18 3 2 = 5
QUESTION FOUR (15 MARKS)
a) The vertices of a quadrilateral PQRS have coordinates P(-10,0), Q(-10,25), R(15,25) and S(25, -10) i. Using a scale 1cm represents 5 units on both axes, plot points PQR and S. ii. Join the points and name the quadrilateral PQRS. (4 Marks) iii. State the coordinates of the point of intersection of the diagonal. (3 Marks) b) A wire 49cm long is bent to form an area of a circle of radius 21cm. Calculate; i. The angle that the arc subtends at the centre of the circle. (4 Marks) ii. The area of the sector formed by the arc and the radii of the circle. (4 Marks)

Sma0011: Question Paper

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