Practice china-gaokao-mathematics questions with answers and explanations.
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There are 4 favourable outcomes out of 8 equally likely outcomes, so P(red)=4/8.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=6x²+16x. Substituting x=3 gives 102.
An antiderivative is 3/2 x²+2x. At x=4, the value is 32.0.
The dot product is 3×2+3×1=9.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
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The sum is n(n+1)/2=55, so the mean is 55/10.
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There are 3 favourable outcomes out of 6 equally likely outcomes, so P(red)=3/6.
The dot product is 2×4+2×6=20.
Rewrite the value using base 3: 27 = 3^3. Matching exponents gives x = 3.
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Use the circle-area formula A = πr². Substituting r = 7 gives A = π × 7² = 49π.
