Abstract: Substituted 1-arylpyrazoles useful in combating insects having the arachnida and nematodes of the formula ##STR1## in which R.sup.1 represents hydrogen or alkyl,R.sup.2 represents alkyl or halogenoalkyl,R.sup.3 represents hydrogen or alkanoyl,R.sup.4 represents hydrogen, alkyl, hydroxyalkyl, alkoxyalkyl, alkylthioalkyl, halogenoalkyl, alkenyl, halogenoalkenyl or alkinyl, in each case optionally substituted cycloalkyl, aralkyl or aryl, or, when X represents oxygen or sulphur, R.sup.4 can represent a cation equivalent which is bonded in a salt-like manner,A represents a double-linked alkylene radical,X represents oxygen, sulphur or a radical ##STR2## Ar represents optionally substituted phenyl, pyridyl and n represents a number 0, 1 or 2, where R.sup.5 represents hydrogen, alkyl, hydroxylalkyl, alkoxyalkyl, alylthioalkyl, halogenoalkyl, alkenyl, halogenoalkenyl or alkinyl, or represents optionally substituted cycloalkyl, aralkyl or aryl.