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Perimeter = 2L + 2W = 2(12) + 2(5) = 24 + 10 = 34. Correction: option C (34) is correct, not B. Option A (30) and D (36) are distractors from miscalculations. Strategy: memorize formulas and substitute carefully. HSPT math often tests distinguishing perimeter from area.

Area = length × width = 15 × 4 = 60 cm². Option C is correct. Option A (45) may result from adding instead of multiplying. Option B (50) could come from averaging sides. Option D (75) might come from multiplying incorrectly. Strategy: recall formula: area = L × W, perimeter = 2L + 2W. On HSPT, mixing perimeter with area is a common mistake. Careful reading ensures correct formula choice.

Option C is correct: “They are playing soccer at the park” uses proper subject pronoun “they” and correct verb agreement. Options A, B, and D misuse object pronouns (“us,” “them,” “him”) as subjects. HSPT Language questions frequently test pronoun case. Strategy: replace with a singular pronoun: “He is playing” vs. “Him is playing.” The wrong form sounds incorrect, helping identify the error.

Multiples of 6: 6, 12, 18, 24, 30… Multiples of 15: 15, 30, 45… The first common multiple is 30. Option A is correct. Option B (45) and C (60) are also multiples but not the least. Option D (75) is too high. Strategy: prime factorization—6 = 2 × 3; 15 = 3 × 5. LCM = 2 × 3 × 5 = 30. This ensures accuracy and speed.

In the HSPT Language section, subject–verb agreement is essential. Option D is correct because the subject “collection” is singular, requiring the singular verb “is.” Option A is incorrect: “group” is singular, so it should read “is walking.” Option B is incorrect: “dogs” is plural, so the verb should be “bark.” Option C is incorrect: “teacher and principal” forms a compound subject, which is plural, requiring “are speaking.” HSPT objectives emphasize that the verb must agree with the actual subject, not with nearby nouns. Collectives (e.g., team, group, collection) are treated as singular when referring to the whole unit. Students should identify the true subject before matching the verb. On the exam, distractors often place plural nouns close to singular verbs or vice versa. Recognizing the difference between the subject word and prepositional phrases (e.g., “of coins”) is critical. Clear grammatical analysis leads to consistent accuracy in Language section questions.