£1m is 0.00014% of the UK government's annual budget. This sort of "motivation" is nothing more than a ridiculous platitude that enables the government to pretend they're supporting technology and innovation with practically no cost to them. Frankly, it's an insult to anyone remotely entrepreneurial. 100 prizes of £10,000 would very likely do a lot more for industry, encourage people to get behind something imaginative, and perhaps would be enough of a start to someone who could eventually solve one of these problems.