§ 20. Mr. Boydenasked the Lord President of the Council and Minister of Science what is his estimate of the number of new honours graduates in mathematics required by the schools, industry and the Government service, respectively, in September, 1964; and how many honours students in mathematics are likely to graduate this summer.

§ Mr. HoggTo maintain the present proportions of honours graduates in mathematics in the teaching force at secondary schools for which the local authorities are responsible, it will be necessary to recruit about 500 in 1964. One-fifth to one-quarter of these are likely to be graduates of the current year. The Government service is estimated to need 90 honours graduates. About 850 students are expected to graduate with honours in mathematics this summer.

§ Mr. BoydenAre not the right hon. and learned Gentleman's estimates of the number of graduates coming forward far too modest? Does he not recognise that in the grammar schools there is a deficiency of about 2,500 honours graduates in mathematics?

§ 21. Mr. Boydenasked the Lord President of the Council and Minister of Science what is his estimate of the number of new mathematics teachers required in universities and colleges of advanced technology, and extra research mathematicians required in industry and 230 Government service, respectively, in September, 1964; and how many postgraduate students are likely to complete Ph.D.s in mathematics this summer.

§ Mr. HoggThe estimate for the colleges of advanced technology is 33. The universities have estimated that a 50 per cent. increase in their teaching staff in mathematics is needed between 1962 and 1965. The needs of the Government service and of industry for research mathematicians are not separately estimated.

The estimate for new Ph.D.s in mathematics this summer is about 100.

§ Mr. BoydenIs not the right hon. and learned Gentleman continuing his modesty? Is there not a need very much to increase the number of Ph.D.s in mathematics in the universities in order that the flow down to the schools can be very much more accelerated?

§ Mr. HoggWhether or not my estimates are modest, I agree that there is a need to increase the number of mathematicians in all grades.

§ Mr. RossJust as a matter of interest, can the right hon. and learned Gentleman tell me whether he is answering this Question in relation to the whole of the United Kingdom? Is he applying it to the needs of technical colleges, universities and schools in Scotland, and where does he get his information from?