mid term test-psb engin maths 1 2011-ms

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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


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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


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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


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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


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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


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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


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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 _______


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Solutions


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mid term test-psb engin maths 1 2011-ms

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