The point of sampling and testing the concrete is to check the validity of the mix design and the concrete that was delivered to the site. For that reason, you typically sample at some interval of the total concrete placement/delivery, usually one test for every 100 to 150 cubic yards of delivery or one test for each mix design/supplier if less than the stated interval. You do not need more than one "test" per truck for two reasons...first you are taking a composited sample from the truck and assuming the transit mixer is in good condition, then the concrete delivered by a single truck should be relatively consistent in properties. If there is a suspicion that this is not the case, then subject the supplier to a National Ready Mix Concrete Association (NRMCA) audit, which includes a review of the aggregate and cement storage, batching process, controls, admixtures and the transit mixer...which includes climbing inside and empty transit drum to measure and assess the wear on the blades, etc.
As for the sampling for record purposes, the common method is to take a sample of at least 3 cylinders (6x12" in the US). Most testing labs base their pricing on a set of 3 cylinders. Usually 1 specimen is tested at 7 days for informational purposes (as noted), that can give a hint as to the 28 day strength of the material. If there are admixtures, ground granulated blast furnace slag (ggbfs), fly ash or other variations to a "classical" concrete mix, the 7-day estimate of 28-day strength can be wildly wrong! For Type 1 portland cement, coarse and fine aggregate, and water....the 7-day strength should be about 70 percent of the 28-day strength. Most changes to the mix design will reduce that 70 percent estimate...I've seen as low as 45% for GGBFS. There are exceptions in the other direction as well.
For a 3 sample set of cylinders, one is usually tested at 7 days and then two are tested at 28 days (and averaged for the "record" strength per ACI 318 as noted). Additional samples can be taken and often 1 additional sample is taken and held in reserve in case there is a strength issue at 28 days. The reserve cylinder is usually tested at 56 days in such cases.
There is no good predictor of strength while the concrete is still plastic. The slump test is not a good predictor of strength, mostly because of the variations in slump that can be achieved with admixtures that do not adversely affect the strength. The slump test is not an indicator of water-cement ratio for the same reasons and the water-cement ratio is the better predictor of concrete strength; however, there is no convenient means of measurement of the water-cement ratio in the field. Using the batch ticket (assuming accuracy) and checking to see if water was added at the site can give you a reasonable idea of W-C ratio; however, it is not accurate because of varying absorption of the aggregates and other batching issues.