There are two categories of the tasks for numeracy

1. Granularity: Encoding of number is Approximate or Exact
2. Units: Numbers are either Abstract or Grounded

The following are the along the axes of granularity and units:

Simple Arithmetic: Task of arithmetic operation on numbers like addition and subtraction.

Numeration: This is decoding that refers to the task of mapping a string to numeric value.

Magnitude Comparison: It is the task of comparing values of numbers.

Arithmetic Word Problems: They are simple arithmetic word problems/tasks. Eg. Mary had two cookies. She gave away one. How many does she have left.

Exact Facts: It is the commonsense knowledge treated to the language model. Eg: Bird has two legs.

Measurement Estimation: Task where the objects are measured in certain dimensions. Eg: weight of a bicycle.

Numerical Language Modeling: Task of making numeric predictions for the unlabelled text in natural language. Eg: In arithmetic: 2+3 = [MASK]

Downstream Applications: Some applications include detecting sarcasm, understanding financial statements, Answering questions and more.

Some other tasks: Paraphrasing, Quantity Entailment, Numeral Understanding, counting and Domain Specific tasks.