# The Pamphlet Collection of Sir Robert Stout: Volume 50

# The University of New Zealand. — Entrance Examination, 1885—Matriculation. — Algebra

## The University of New Zealand.

## Entrance Examination, 1885—Matriculation.

## Algebra.

1. If *a*=5, *b*=4, *c*=3 find the value of

2. Find the value of writing your answer in ascending powers of *x.*

5. Resolve into elementary factors

page break8. A man leaves by will a sum of *£a*, of which his eldest son gets *£x*, his wife *£y* and his daughter half the sum of the share of the wife and son; the remainder is given in equal shares to three charities. How much does each get?

9. A labourer saves 10 per cent of his wages; in consequence of a strike his wages are raised half-a-crown a week, but the cost of living increases in the ratio of 12 to 13, and he finds that he now saves 6s 6d a year less than before. Find his original rate of wages.

*Extra questions for Medical Students*.

10. Find the square root of

11. Simplify

12. Solve the equations