Composite catalysts includes zeolite particles at least partially embedded in a catalyst support material and at least one catalytically active compound deposited on the outer surfaces and pore surfaces of the catalyst support material, zeolite particles, or both. A method of making the composite catalysts may include preparing a catalyst precursor mixture that includes the zeolite, catalyst support material, triblock copolymer surfactant, and the catalytically active compound precursor and spray drying the catalyst precursor mixture. The composite catalysts may be used as a single catalyst for conducting olefin metathesis and cracking reactions. A method for producing propene may include contacting a butene-containing feed with the composite catalysts.