Show your strength by Frank Stewart

A: 3♠: If your values were minimum and you were content to stop at game, you would bid four spades. As it is, you have extra strength, and slam is possible. Bid three spades, inviting him to cue-bid and leaving room for slam investigation.

Your result so far:

A: 3♠: Your hand has the potential for game. Your fifth spade will be a winner, your side card is an ace, and you can surely ruff some club losers in dummy. Jump to three spades to invite game. You would bid two spades to compete if your ace of diamonds were the queen.

Your result so far:

A: 3♦: This hand, with two aces and four-card diamond support, is too strong for a mere two-diamond preference. Jump to three diamonds, which most pairs treat as invitational to game. Partner will go on with extra values. A hand such as A 3 2, 2, A Q 10 4 3, K Q 4 3 will offer a fine play for game.

Your result so far:

A: 3NT: Drat those preempts anyway! If you double for takeout, all will be well if your partner responds four hearts, but if he bids a minor suit, you may miss your best game. Bid 3NT. If partner has nothing, you won't make it, but you must assume he has a few values so as not to be stolen blind by the opponent's preempt.

Your result so far:

A: Double: Make a negative double to show values plus four cards in spades. An option (especially if you don't play negative doubles!) is a bid of 2NT, promising about 11 points, balanced. Since you have weak spades and two heart stoppers, it's unclear that you would want to play at spades even if partner has four.
2♥: weak

Your result so far: