1 NT—6 pass—2 1 [Spade]—1
One spade earns the lowest award here because it is not forcing and may land you in the wrong spot. One no trump gets the highest score because it should produce a better contract. A pass, despite your nine points, may leave partner in an awkward one-heart contract. However, a pass rates some credit because it also baits a trap that may snare unwary opponents.
double—6 3 NT—2 4 [Club]/4 [Diamond]—1
This is the kind of golden opportunity that arises when the opponents overreach themselves in trying to convert a part score. Unless partner has doubled on a distributional dishrag, you should collect anywhere from 500 to 1,100 points. Three no trump also gets an award because if there is a game your way it should be at that contract, since partner must have spades. The minor suit bids get a point merely to value them in relation to an unthinkable pass.
1 NT—6 1 [Heart]—3 2 NT—1
Partner has passed so hopes of slam are dim, but you might as well seize the opportunity to set a trap for opponents who may rush in where angels fear to tread. Opening with one heart assumes a needless risk in that partner may pass. Opening with two no trump is both unwise and unwarranted with a passed partner, but it is better than two hearts, so one point is awarded in recognition of that fact.
pass—6 1 [Diamond]—3 1 [Heart]—1
When partner has passed, you should not open minimum third or fourth hands in part-score situations, especially when you lack the master suit, spades. If you must bid, your long suit is preferred; however, you should not expect to rebid anything but one no trump if partner responds one spade.
double—6 3 [Diamond]—1
You must compete, and you will be much better off if you find partner's best suit at once, as you will when he responds to your double. Three diamonds risks losing the heart suit, or even a fit in clubs, but at least it is better than a pass, which merits no reward in these circumstances.
4 [Diamond]—7 3 NT—4 4 NT—2 pass—1
The most important card in your excellent hand is the king of diamonds, and by letting partner know that you have it and that you are interested in slam you will be setting him on the right track. Three no trump is also a forward-going bid, with the added advantage that it will not penalize partner if his three-diamond rebid was a slight stretch to score the 60 you need. Four no trump is too much of a take-charge bid in the event that partner is stretching. And finally, a pass is preferable to a rebid of three hearts, which might land you in the soup on a hand that should land you in gravy.
4 [Heart]—6 3 [Spade]—3 5 [Heart]—2 4 [Spade]—1
In part-score situations, bids past the game level should tend to be conservative rather than aggressive. In this case, partner has shown some interest in slam and you should confirm that interest. Four hearts is a mild forward-going move indicating that your hearts are better than your spades. If your two aces will be enough to produce a slam, partner can use Blackwood to find out about them. For you to use Blackwood, however, would be as inappropriate in describing your values as a pass would be inaccurate.