Measurement & Geometry · Guided Practice
Reading Scales and Tolerance
10 questions with answers and video solutions. Try each one before revealing the answer.
Write down the upper and lower limits.
Answer
Lower limit mm
Calculate the upper and lower limits.
Answer
Lower limit g
A bolt measures mm.
Determine whether this bolt is acceptable. Use your working to justify your answer.
Answer
mm is below the lower limit, so the bolt is not acceptable.
Calculate the upper and lower limits.
Give your answers to 1 decimal place.
Answer
Lower limit psi
A pipe measures m.
Determine whether this pipe is within tolerance. Use your working to justify your answer.
Answer
m lies between these, so the pipe is within tolerance.
A baking company will reject cakes if they do not weigh 400g
The weights of a sample of 13 cakes are shown below.
385, 391, 409, 403, 386, 412, 413, 407, 400, 390, 387, 405, 388
Calculate the fraction of cakes that will be rejected.
Use your working to justify your answer.
Answer
Lynn is flying an aircraft and has been told that the outside temperature is lower than the ground temperature.
The ground temperature is
Calculate the outside temperature and mark it on the gauge below.
Answer
calculated and marked correctly on the gauge.
A polling company predicted the result of an election. They claimed that the prediction would be within of the result.
| Prediction | Result |
|---|---|
| 3400 votes | 3300 votes |
Determine if the company's claim was correct.
Answer
No, the claim was not correct. 3% of the result (3300) is 99, giving an upper limit of 3399. Since 3399 < 3400, it falls outside the range.
Laura has to inflate her lorry tyres to a pressure of 84 PSI. Mark this pressure on the gauge shown.
Answer
84 PSI correctly marked on the gauge (between 60 and 90, on the second small graduation past 60).
A design for a skatepark ramp is shown.
The height of the ramp is 70 cm.
To be suitable the ramp must have a gradient of
Determine whether the ramp is suitable. Use your working to justify your answer.
Answer
No, the ramp is not suitable. The calculated gradient is 0.33... which is less than the lower limit of 0.34.