A COMPLETE KEY

TO

MALE PUPIL TEACHERS'

EXAMINATION

QUESTIONS IN ARITHMETIC

TO SEPTEMBER 1879 (INCLUSIVE).

BY

JOSEPH WOLLMAN,
WELLGATE BOARD SCHOOLS, ROTHERHAM ;

THE HANDY BOOK OF MENTAL ARITHMETIC,''THE

ALTEOR OF 'MODEL SOLUTIONS,

"CODE" TEST CARDS IN ARITHMETIC, ETC.

LONDON: JOSEPH HUGHES, THREE TUNS PASSAGE, PATERNOSTER SQUARE, E.C.

MORRISON AND GIBB, EDINBURGH,

PRINTERS TO HER MAJESTY'S STATIONERY OFFICE

CONTENTS

Numeration and Notation,

Addition,

Multiplication,

Division,

Miscellaneous Exercises on the First Four Rules,

Compound Rules (Money)—

Subtraction,

Multiplication,

Division,

Miscellaneous Exercises on the Compound Rules (Money),

Reduction

(a) Money,

(6) Weights and Measures,

Compound Rules (Weights and Measures)—

Subtraction,

Multiplication,

Division,

Miscellaneous Exercises on the Compound Rules (Weights and

Measures),

Exercises involving Reduction and the Compound Rules-

(1) Money,

(2) Weights and Measures,

Practice
Simple-Ordinary Form,

Problem Form,
Compound-Ordinary Form,

Problem Form,

Proportion-

Simple,

Compound,

26

27

29

31

32

33

34

36

40

44

48

62

PAGE

66

68

68

70

91

95

100

102

Vulgar Fractions,

Reduction to the Fraction of -

(1) Money,

(2) Weights and Measures,

Simplification,

Miscellaneous Exercises,

Decimal Fractions-

Reduction of Decimal to Vulgar Fractions, and vice versa,

Reduction to the Decimal of -

(1) Money,

(2) Weights and Measures,

Simplification,

Miscellaneous Exercises,

Interest-Simple

Compound,

Present Worth and Discount,

Profit and Loss,

Stocks,

Percentages,

Proportional Parts,

Insurance, Commission, etc.,

Square Root,

Cube Root,

Miscellaneous Examples,