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Resource type Combining algebraic fractions - Numbas
13 questions on combining algebraic fractions. An area in which students often need practice. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Simultaneous equations - Numbas
Two questions on solving systems of simultaneous equations. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Polynomial division - Numbas
2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Solving simple linear equations - Numbas
2 equations, both linear (the second needs a small amount of algebra to reduce to a linear equation). Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Complex Roots of Polynomials - Numbas
2 questions finding roots of real polynomials. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Rules of arithmetic - Numbas
4 questions testing the precedence of operations applied to integers. In other words testing BIDMAS: Brackets, Indices, Division/Multiplication and Addition/Subtraction. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Using partial derivatives to find stationary points - Numbas
Finding the stationary points of functions of 2 variables. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic Test in Differentiation - Numbas
26 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Completing the square - Numbas
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. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Solving simultaneous equations using matrices - Numbas
1 question. Solve a pair of linear equations in two unknowns by writing an equivalent matrix equation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Solving simple linear equations - Numbas
2 equations, both linear (the second needs a small amount of algebra to reduce to a linear equation). Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Polynomial division - Numbas
2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Complex roots of real polynomials - Numbas
Finding roots of a cubic and the roots of a quartic by inspection. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Dot and cross product - Numbas
5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Completing the square - Numbas
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. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic test in differentiation - Numbas
16 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic Test: Indefinite Integration - Numbas
16 questions: Inverse of differentiation, substitution, inverse trig functions, partial fractions and by parts. For those that want a thorough testing of their basic techniques in integration. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Basic complex numbers - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus. Finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Complex Numbers Arithmetic - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus and finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic test in basic maths - Numbas
4 questions testing the precedence of operations applied to integers. In other words testing BIDMAS: Brackets, Indices, Division/Multiplication and Addition/Subtraction. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Greatest common divisor and congruences - Numbas
Given two numbers, find the greatest common divisor (gcd), then use Bezout's algorithm to find 's' and 't' such that 'as+bt=operatorname{gcd}(a,b)'. Finally, find all solutions of an equation $mod b$. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type First order differential equations - Numbas
9 questions on first order differential equations. Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Factorising quadratics - Numbas
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 $x^2$. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Logarithms and solving equations - Numbas
8 questions using logarithms. 7 questions use logarithms to solve equations. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type First order differential equations - Numbas
9 questions on first order differential equations. Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Polar form and De Moivre's Theorem - Numbas
3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers

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