Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Linear equations
Answer: 2. Add the two equations: 2x = 3 + 1 = 4, so x = 2.
Question 2 · Pythagoras theorem
Answer: 5 cm. c² = 3² + 4² = 9 + 16 = 25, so c = 5 cm.
Question 3 · Trigonometry
Answer: 1/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 90° − cos 60° = 1/2.
Question 4 · Probability
Answer: 1/2. Probability = favourable ÷ total = 4/8 = 1/2.
Question 5 · Quadratic equations
Answer: 5. x² − 6x + 5 = (x − 5)(x − 1) = 0, so the roots are 5 and 1. The larger is 5.
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