Building blocks

## 1952 exam question

Now here is the full version of the 1952 exam question we started with earlier.

1. Use logarithms to calculate, correct to three significant figures, $\frac{1{\cdot}152\times(3{\cdot}902)^3}{(5{\cdot}463)^2} .$

2. The area of a square field is $5{\cdot}355$ hectares. Find, correct to the nearest metre, the length of a diagonal of the field.

[1 hectare = 100 ares; 1 are = 1 square dekametre.]

[Editorial note: 1 dekametre = 10 metres.]

UCLES O level Elementary Mathematics Alternative A: Arithmetic, Question 7, 14 July 1952 (slightly amended)

### One final twist

In this resource we have dealt only with the logarithms of numbers greater than $1$. Can you see the difficulty with using log tables to do calculations with numbers such as $0{\cdot}0283$ ?