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Red-shift (physics Only) (GCSE Physics)

The following is a GCSE Physics test covering 'Red-shift (physics Only)' from the broader topic Space Physics. The test is geared towards the AQA exam board style syllabus.
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Which of these is a limitation when using redshift to determine very large cosmological distances?
The dimensionless redshift z is defined as (observed wavelength - rest wavelength) divided by rest wavelength. Which algebraic expression matches that definition?
Which instrument is used by astronomers to measure precise wavelengths and detect redshift?
How does observing redshift from many galaxies in all directions support the cosmological principle (that the Universe is homogeneous and isotropic on large scales)?
Explain why a photon emitted at ultraviolet wavelengths long ago may now be observed as visible or infrared light due to redshift.
Which statement about cosmic microwave background (CMB) and redshift is correct?
If two identical galaxies A and B have zA = 0.1 and zB = 0.4, and Hubble’s law holds with the same H0, what is the ratio of their distances dA : dB?
Which observation provides direct evidence that the Universe is expanding?
Which of the following best describes what a positive redshift (z > 0) of a galaxy’s light indicates?
When interpreting galaxy redshifts, why must astronomers consider peculiar velocity (local motion) as well as cosmological recession?
A spectral line with rest wavelength ?0 appears at ?obs. The redshift z = 0.2. What is ?obs / ?0 ?