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WorksheetsUnit 10: Mathematics For Engineering - Initial Assessment
Total questions: 12
Worksheet time: 1hrs 10mins
A.1: A CNC milling machine is used to make gear parts. The machine is operated from 8:00am to 6:00pm which includes 30 minutes for the operator to start and set up the machine at 8:00am and 30 minutes for the operator to shut down and clean the machine at 5:30pm. If the machine produces 180 parts on this day, how many parts did the machine produce per hour?
18
20
24.5
30
A.1: The tensile force of 2.5 kN acts on a tie rod with a cross-sectional area of 0.027 m2. Calculate the tensile stress giving your answer in engineering form and to 3 significant figures.
Note: Tensile Stress = Tensile Force / Cross-sectional Area
92.59
92.6 x 102
92.6 x 103
92.6 x 106
A.2: Solve for m if:
6m + 11 = 25 - m
(a)
A.2: The final velocity, v, of a car can be found by the equation:
v = u + a x t
Where u is the initial velocity, a is the acceleration, and t is the time.
Transpose the equation to make a the subject and then calculate a if v = 24.36 m/s, u = 3 m/s and t = 12 s
1.42 m/s2
1.78 m/s2
1.93 m/s2
2.12 m/s2
A.3: Calculate the gradient of the straight line graph shown.
(a)
A.3: The graph shows the distance travelled by a robot with progressing time. How far will the robot have travelled in 15 seconds?
(a)
B.1: Calculate the area of the semi-circle shown.
25.13 cm2
50.27 cm2
100.53 cm2
201.06 cm2
B.1: Calculate the area of the compound 2D shape shown.
(a)
B.2: Calculate the volume of the cylinder shown.
1825.7 cm2
2414.6 cm2
3015.9 cm2
4134.1 cm2
B.2: Calculate the total volume of the compound 3D shape shown. Give your answer to 3 decimal places.
2.125 m2
3.777 m2
4.243 m2
5.114 m2
B.3: A cart travels up a slope as shown in the image. Use Pythagoras theorem to calculate the length of the slope. Give your answer to 1 decimal place.
(a)
B.3: Use trigonometry to calculate the missing length.
22.1
26.1
30.1
34.1
