Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Algebraic identities
Answer: 32. (a + b)² = a² + 2ab + b², so a² + b² = 6² − 2 × 2 = 36 − 4 = 32.
Question 2 · Quadratic equations
Answer: 5. x² − 7x + 10 = (x − 5)(x − 2) = 0, so the roots are 5 and 2. The larger is 5.
Question 3 · Linear equations
Answer: 15. Add the two equations: 2x = 25 + 5 = 30, so x = 15.
Question 4 · Probability
Answer: 1/2. Probability = favourable ÷ total = 6/12 = 1/2.
Question 5 · Mensuration
Answer: 2156 cm³. Volume = π r² h = 22/7 × 7 × 7 × 14 = 2156 cm³.
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