• 1.

  Ready to use
  Unit conversion between two compound units.
• 2.

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

  Ready to use
  Compound percentage change.
• 4.

  Ready to use
  Dividing amounts in ratios
• 5.

  Ready to use
  Calculations involving Standard form.
• 6.

  Ready to use
  Simple exercise in collecting terms in different powers of $x$
• 7.

  Ready to use
  Filling in the blanks from the answer to a simplified expression involving indices.
• 8.

  Ready to use
  Expand two brackets involving powers of $x$.
• 9.

  Ready to use
  Solving a pair of linear simultaneous equations, giving answers as integers or fractions.
• 10.

  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.
• 11.

  Ready to use
  Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.
• 12.

  Ready to use
  Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.
• 13.

  Ready to use
  Simplify the sum of two algebraic fractions where spotting factorising of both numerators and denominators can reduce the work massively.
• 14.

  Ready to use
  A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).
• 15.

  Ready to use
  Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.
• 16.

  Ready to use
  Basic calculation from a sum given in Sigma notation.
• 17.

  Ready to use
  Match the graphs to the functions. No randomisation. Multiple choice.
• 18.

  Ready to use
  Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$. 
• 19.

  Ready to use
  Match the relevant graph (sin, cos, tan) with its equation. 
• 20.

  Ready to use
  Evaluating a linear function for a given value of $x$.
• 21.

  Ready to use
  Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.
• 22.

  Ready to use
  Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.
• 23.

  Ready to use
  Solving an equation of the form $a^x=b$ using logarithms to find $x$.
• 24.

  Ready to use
  Differentiate a polynomial expression involving coefficients and, negative and fractional indices. 
• 25.

  Ready to use
  Calculating the definite integral $\int_{n_1}^{n_2}a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3} dx$.
• 26.

  Ready to use
  Finding the stationary points of a cubic equation and determining their nature.
• 27.

  Ready to use
  Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.
• 28.

  Ready to use
  Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.
• 29.

  Ready to use
  Find the derivative of a function of the form $y=a \tan(bx+c)$ using a table of derivatives.
• 30.

  Ready to use
  Calculating the derivative of an exponential function of the form $ae^{bx}$, using a table of derivatives.
• 31.

  Ready to use
  Calculating the derivative of a function of the form $\sin(ax^m+bx^n)$ using the chain rule.
• 32.

  Ready to use
  Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.
• 33.

  Ready to use
  Calculating the derivative of a function of the form $\frac{ax^n}{bx+c}$ using the quotient rule.
• 34.

  Ready to use
  Using the various versions of $\cos{2x}$ identity to integrate $\sin^2{x}$ and $\cos^2{x}$.
• 35.

  Ready to use
  Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.
• 36.

  Ready to use
  Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.
• 37.

  Ready to use
  Identifying measures of spread or location (average)
• 38.

  Ready to use
  Tests understanding of scatter plots and related concepts.
• 39.

  Ready to use
  Calculate probability of selecting coloured counters from a bag.
• 40.

  Ready to use
  Predicting the probability of an unbiased coin landing on heads based on the results of previous throws.

There are no questions in this group.