mid term test-psb engin maths 1 2011-ms
TRANSCRIPT
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
1/10
Mid Term Test
Course: Diploma in Mechanical/Electrical Engineering
Module: Engineering Maths 1
Date: 8 Sept 2011 Thursday
Section A: MCQ [20 questions each 1 mark]
1. Which of the following sums below show the Commutative law ?
A ( ) * B
C ( ) D
( ) ( )
2. Which of the following choices below shows the numbers arranged in ascending
order? (from smallest to biggest)
* A B C D
3. Express 0.00000000036 in scientifc notation.
A * B
C D
4. Which of the triangles below shows a scalene triangle? D
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
2/10
5. For the parallelogram given below, what is its area?
A 72 cm2
B 17 cm2
C 18 cm2
* D 16 cm
2
6. Calculate the total surface area of the cone shown in the diagram below.
The cone has a radius of 5 cm and a length of 10 cm.
A 50 cm2
B 157 cm2
* C 175.62 cm2
D 261.67 cm2
7. Given that f(x) = , find f().A -79
B -1/3
C 0
* D 71
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
3/10
8. Which of the graphs below does not show a function? C
9.Which of the following can be the domain of the function() ?A
* B C D
10. Express 39030 in decimal form.
* A 39.5
B 39.3
C 39.6
D 39.0
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
4/10
11. The equal sides of an isosceles triangle is each 12cm, and each base angle is 420.
What is the length of the third side?
A 8.917 cm
B 12 cm
* C 17.84 cm
D 20.61 cm
12. Find the obtuse angle x if sin x = 0.51
A 30.66
B 59.34
* C 149.34
D 210.66
13.Evaluate | |A -92
* B -16
C 16
D 92
14. In the graph of , what is the gradient and y-intercept of the straightline drawn?
A Gradient (m) = -12, y-intercept (c) = 3
* B Gradient (m) = 3, y-intercept (c) = -12
C Gradient (m) = 3, y-intercept (c) = 12
D Gradient (m) = -3, y-intercept (c) = -12
15. Find the product: ()A B C
* D
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
5/10
16. Find the slope of the line through (2,-5) and (-1,4)
* A -3
B -4.5
C -1/3
D -1/9
17. The hypothenuse of a right angled triangle is 13cm and another side is 5cm. Find the
length of the last side of the triangle.
A 11 cm
* B 12 cm
C 13 cm
D 18 cm
18. If the function is shifted right 1 and up 3, what could be the resultingfunction?
A ( )B ( )
* C ( )D ( )
19. In the diagram below, name the corresponding angles.
A e and h
* B b and f
C f and g
D b and h
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
6/10
20. Round off the number 0.04405 to 3 significant figures.
* A 0.0441
B 0.04
C 0.0440
D 0.05
Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Answer
Section B [30 marks]
Answer all questions clearly showing all necessary working.
1. An alloy weighing 60N contains 30% copper. How many newtons of another alloy,
which is 70% copper must be added for the final alloy to be 50% copper?
[Answer to 3 significant figures]. [5]
2. The graph of is drawn below together with a table of values.
a) Using Simpsons method, Estimate the area under the graph. [2]b) Using the Trapezoidal method, estimate the area under the graph. [2]c) Using linear interpolation, find the value of y when x = 0.6. [2]
x 0 0.25 0.5 0.75 1.00y 1 0.94118 0.8 0.64 0.5
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
7/10
3. a) A bucket of water has an initial volume of 4000cm3 of water. A rat chewed ahole in the bucket and as a result 12.5cm
3of water leaks every second. Find
the water remaining in the bucket as a function of time (in seconds). [2]
b) In approximately how many seconds would there be 500cm3 of waterremaining in the bucket? [2]
4. a) A ships captain, wanting to go south, discovers that due to a malfunctioningcompass, the ship has travelled 30km in a direction 5
0east of south. How far
away is the ship from its proper course? [2]
b) If the captain wants to sail back to its proper course within another 25km,what is the angle that the captain must point his ship towards? [2]
5. a) Solve by using determinants the equations [4] b) Sketch the equation showing the x and y intercepts clearly. [3]
6. Solve for x: [4]
_______ END OF TEST _______
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
8/10
Solutions
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
9/10
-
8/4/2019 Mid Term Test-PSB Engin Maths 1 2011-MS
10/10