Unit 10: Mathematics For Engineering - Initial Assessment

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.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.3: The graph shows the distance travelled by a robot with progressing time. How far will the robot have travelled in 15 seconds?

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.

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