Chapter 34

A British test of teachers’

mathematical background

Samples from a test on the mathematical background of (British) teach-
ers in training in the late 1960’s.^1

1.A necessary condition for the truth of a statementPis thatβ≥ 7.

Which one of the following statement must be true?

AIfβ≥ 7 ,Pis true.

BIfβ≥ 7 ,Pis false.

CIfβ< 7 ,Pis true.

DIfβ< 7 ,Pis false.

E None of these.

Answer:

2.A sufficient condition for the truth a statementQis thatβ< 0.

Which one of the following statements must be true?

AIfQis true,β≥ 0.

BIfQis false,β≥ 0.

CIfQis true,β< 0.

DIfQis false,β< 0.

E None of these.

Answer:

(^1) Math. Gazette, 53 (1969) 357–362.