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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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734 prompts matching "Multiplying every entry of a matrix by a scalar"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Learn: What makes an expression in the roots symmetric

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Learn: Forming the quadratic that decides where a line meets a curve

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Learn: What makes an expression a polynomial

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Learn: Factorising a cubic into three linear factors

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Learn: Solving a cubic once it has been factorised

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