Quiz to test students on partial fractions.

Randomly chooses one of the following

a) Multiply numerical fractions. Simplifying is discussed in the advice but not required to get full marks.

b) Multiply a negative fraction by a whole number. Simplifying is discussed in the advice but not required to get full marks.

Randomly chooses one of the following

a) Divide numerical fractions. Simplifying is discussed in the advice but not required to get full marks.

b) Divide a negative whole number by a fraction. Simplifying is discussed in the advice but not required to get full marks.

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Equivalent fractions, simplifying, adding, subtracting, multiplying and dividing fractions. Converting between mixed numbers and improper fractions.

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

Fractions already have a common denominator. Addition and subtraction 50:50 split. Students shouldn't have to worry about reducing fractions by design.

Reduced or simplified form of a fraction by cancelling the greatest common divisor (gcd) of numerator and denominator (i.e dividing out by it)

The greatest common factor are designed to be one of the following 2,4,5,10,20,25,50,100,125,250

Fractions already have a common denominator. Addition and subtraction 50:50 split, when subtracting, the answer is negative half the time. Students shouldn't have to worry about reducing fractions by design.

Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are asked to find a fraction of a fraction. There are 9 different versions of this question.

Denominators with linear factors, repeated factors and non-factorisable quadratics.

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Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ is a positive integer and $b$ is a positive fraction.

Manipulation of algebraic fractions

Calculating the integral of a function of the form $\frac{mx^2+nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{mx^2+nx+k}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{nx+k}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution. $n$ is a positive or negative fraction.

Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution. $n$ is a positive or negative fraction.

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Calculating the integral of a function of the form $\frac{cx+d}{(x+a)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{n}{(x+a)(x+b)^2}$ using partial fractions.

Calculating the integral of a function of the form $\frac{n}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{c}{(kx+a)(x+b)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{cx+d}{(x+a)(x+b)}$ using partial fractions.

Calculating the integral of a function of the form $\frac{c}{(x+a)(x+b)}$ using partial fractions.