• 1.

  Ready to use
  Applying the order of operators.
• 2.

  Ready to use
  Round numbers to a given number of significant figures.
• 3.

  Ready to use
  Calculations with negative numbers.
• 4.

  Ready to use
  Compound percentage change.
• 5.

  Ready to use
  Find the original price before a discount by dividing the new price by the percentage discount.
• 6.

  Ready to use
  Calculate one number as percentage of another.
• 7.

  Ready to use
  Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 
• 8.

  Ready to use
  Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 
• 9.

  Ready to use
  Calculations involving Standard form.
• 10.

  Ready to use
  Simplifying expressions from $\frac{x^mx^n}{x^p}$ to $x^{m+n-p}$. 
• 11.

  Ready to use
  Find the missing whole number power in an equation.
• 12.

  Ready to use
  Calculate an answer involving a fractional index.
• 13.

  Ready to use
  Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $b$, for integers $a$, $b$, $m$ and $n$.
• 14.

  Ready to use
  perform a calculation involving negative indices.
• 15.

  Ready to use
  Simple exercise in collecting terms in different powers of $x$
• 16.

  Ready to use
  Expand two brackets involving powers of $x$.
• 17.

  Ready to use
  Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.
• 18.

  Ready to use
  Solving a pair of linear simultaneous equations, giving answers as integers or fractions.
• 19.

  Ready to use
  Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.
• 20.

  Ready to use
  Rearrange a specific formula. No randomisation.
• 21.

  Ready to use
  Factorise three quadratic equations of the form $x^2+bx+c$. The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
• 22.

  Ready to use
  Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.
• 23.

  Ready to use
  Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
• 24.

  Ready to use
  Simplify the sum of two algebraic fractions where spotting factorising of both numerators and denominators can reduce the work massively.
• 25.

  Ready to use
  A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).
• 26.

  Ready to use
  Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.
• 27.

  Ready to use
  Basic calculation from a sum given in Sigma notation.
• 28.

  Ready to use
  Evaluating a linear function for a given value of $x$.
• 29.

  Ready to use
  Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.
• 30.

  Ready to use
  Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.
• 31.

  Ready to use
  Solving an equation of the form $a^x=b$ using logarithms to find $x$.
• 32.

  Ready to use
  Differentiate a polynomial expression involving coefficients and, negative and fractional indices. 
• 33.

  Ready to use
  Calculating the definite integral $\int_{n_1}^{n_2}a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3} dx$.
• 34.

  Ready to use
  Finding the stationary points of a cubic equation and determining their nature.
• 35.

  Ready to use
  Calculating the derivative of a function of the form $\sin(ax^m+bx^n)$ using the chain rule.
• 36.

  Ready to use
  Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.
• 37.

  Ready to use
  Calculating the derivative of a function of the form $\frac{ax^n}{bx+c}$ using the quotient rule.
• 38.

  Ready to use
  Calculating the integral of a function of the form $\frac{c}{(x+a)(x+b)}$ using partial fractions.
• 39.

  Ready to use
  Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.
• 40.

  Ready to use
  Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.

There are no questions in this group.