Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

Calculate relative frequencies in a variety of scenarios.

Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

Given a table of data, complete a frequency distribution table and use it to calculate the mean, mode, median and range.

Calculate the interest accrued in a savings account, given the initial balance and annual interest rate.

Find the original price before a discount by dividing the new price by the percentage discount.

Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

Solve for x and y on a given triangle and calculate the area

rebelmaths

Divergence of vector fields.

Divergence of vector fields.

Calculate a particular harmonic component of the complex form of a Fourier series expansion.

Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Calculate the number of moles in a given mass of a substance given the molecular weight.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Calculate relative frequencies in a variety of scenarios.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.