643 results authored by Christian Lawson-Perfect - search across all users.
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7 questions on numeric fractions.
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2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial.
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6 questions on standard statistical distributions.
Binomial, Poisson, Normal, Uniform, Exponential.
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26 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules.
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5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.
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9 questions: Expanding out expressions such $(ax+b)(cx+d)$ etc.
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3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$.
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4 questions involving hyperbolic functions.
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Implicit differentiation including finding tangents
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5 questions on using substitution to find indefinite integrals.
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4 questions on integrating by parts.
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4 questions on using partial fractions to solve indefinite integrals.
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Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.
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11 Questions on the chain rule.
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13 questions on combining algebraic fractions. An area in which students often need practice.
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Two questions on completing the square. The first asks you to express $x^2+ax+b$ in the form $(x+c)^2+d$ for suitable numbers $c$ and $d$. The second asks you to complete the square on the quadratic of the form $ax^2+bx+c$ and then find its roots.
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Statistics and probability. Practice on correlation questions.
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Entering numbers and algebraic symbols in Numbas.
