TestAS-Logo HOME   ABOUT US   LINKS   TEST TAKERS   TEST CENTRES   ACADEMIA   LICENSING   DEUTSCH / ENGLISH

HOME > Sample Questions > Core Test > Continuing Numerical Series

Continuing Numerical Series

You will be given 25 minutes to solve 22 problems in this subtest.

Please read the instructions before you look at the model questions. When you take the TestAS, you will be given the same instructions in the test booklet.

The four basic arithmetical operations are represented like this on the website: Addition (+), subtraction (-), multiplication (*), division (/)

Each item consists of a numerical series, formed according to a particular rule. Your task is to find the next number in the series – its place is marked by the question mark (?).

Example 1:

5     15     13     23      21     31     29      ?

The numerical series is formed by the following arithmetic operation: +10   -2   +10    -2   +10   -2.
5+10=15   15-2=13   13+10=23   and so on.
The number that should be in the place of the question mark (?) is therefore 39 (29 + 10).

Example 2:

35     30     120     60      55     220     110      ?

The rule for this numerical series is as follows: -5   *4   /2   -5    *4   /2. The number that should be in the place of the question mark (?) is therefore 105 (110 - 5).

Each rule can contain only the four basic arithmetical operations (addition (+), subtraction (-), multiplication (*) and division (/)).

Proceed step by step:
1. First take a look at the numerical series.
2. Work out the rule on which the numerical series is based.
3. Then apply the rule in order to find the next number in the series. Carry out the necessary arithmetical operation and calculate the number that should be entered in the place of the question mark (?).
4. Mark the digits that make up this number on your answer sheet.

The solution number is always a whole number. The solution number can be positive, negative or zero. Any digit only ever occurs once in a solution number; in other words, solutions numbers such as 11, 44 or 100 cannot occur..

On the answer sheet, mark the digits that appear in the solution number. If the number is negative, please mark the „-“ on the answer sheet as well as the digits. The order of the digits does not matter.

Example: For the number „14“ mark the „1“ and the „4“.

For the number „41“ mark the „1“ and the „4“.

For the number „-14“ mark the „-“, the „1“ and the „4“.

Instructions    Example 1    Example 2    Example 3    Example 4    Example 5    Example 6