327 results authored by Ben McGovern - search across all users.
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Question in MASH Bath: Question Bank
Given the position vectors of three 2-dimensional points A, B and C, find the coordinates of a fourth point D such that ABCD forms a parallelogram.
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Question in MASH Bath: Question Bank
Calculating the angle between a vector and the positive x-axis.
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Question in MASH Bath: Question Bank
Solving cos(nx)=a for x∈(0,π), where n is an integer and a∈(0,1).
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Question in MASH Bath: Question Bank
Solving a pair of simultaneous equations of the form a1x+b1y=c1 and a2x2+b2y2=c2 by forming a quadratic equation.
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Question in MASH Bath: Question Bank
Solving a pair of simultaneous equations of the form a1xy=c1 and a2x+b2y=c2 by forming a quadratic equation.
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.
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Question in MASH Bath: Question Bank
Calculating the definite integral ∫n2n1axbdx.
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Question in MASH Bath: Question Bank
Solving a pair of linear simultaneous equations with integer solutions.
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Question in MASH Bath: Question Bank
Solving a pair of linear simultaneous equations, giving answers as integers or fractions.
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Question in MASH Bath: Question Bank
Rewriting fractions involving surds by rationalising the denominator.
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Question in MASH Bath: Question Bank
Rewriting fractions involving surds by rationalising the denominator.
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Question in MASH Bath: Question Bank
Rewriting expressions involving surds into the form a+b√c, where a, b and c are integers.
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Question in MASH Bath: Question Bank
Rewiting expressions involving sums or differences of surds into the form a√b.
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Question in MASH Bath: Question Bank
Rewiting expressions involving sums or differences of surds into the form a√b.
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Question in MASH Bath: Question Bank
Simplifying expressions of the form (a1+b1√c)+(a2+b2√c).
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Question in MASH Bath: Question Bank
Rewriting expressions involving surds into the form a+b√c, where a, b and c are integers.
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Question in MASH Bath: Question Bank
Rewriting expressions involving surds into the form a+b√c, where a, b and c are integers.
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Question in MASH Bath: Question Bank
Simplifying expressions of the form (a1+b1√c)−(a2+b2√c).
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Question in MASH Bath: Question Bank
Simplifying surds from a√b2c to ab√c, where a, b and c are positive integers.
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Question in MASH Bath: Question Bank
Simplifying surds from √a2b to a√b, where a and b are positive integers.
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Question in MASH Bath: Question Bank
Rewriting fractional expressions involving n√xm using rules to combine and simplify indices.
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Question in MASH Bath: Question Bank
Rewriting fractions of the form m√xnp√xq to xnm−qp.
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Question in MASH Bath: Question Bank
Rewriting expressions from m√xn to xnm.
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Question in MASH Bath: Question Bank
Finding the product of a linear function of the form mx+c and a cubic function of the form ax3+bx2+cx+d.
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Question in MASH Bath: Question Bank
Finding the product of two linear functions of the form mx+c and a quadratic function of the form ax2+bx+c.
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Question in MASH Bath: Question Bank
Finding the product of three linear functions of the form mx+c.
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Question in MASH Bath: Question Bank
Finding the product of two linear functions of the form mx+c.
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Question in MASH Bath: Question Bank
Given two quadratic expressions f(x) and g(x), calculate f(x)(g(x)−f(x)).
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Question in MASH Bath: Question Bank
Calculate the product of two quadratic expressions of the form ax2+bx+c.
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Question in MASH Bath: Question Bank
Calculating a quartic polynomial by squaring a quadratic expression of the form ax2+bx+c.