Find the dot product and the angle between two vectors

angle between two vectors

rebelmaths

Given a table of the number of days in which sales were between £x1000 and £(x+1)1000 find the relative percentage frequencies of these volume of sales.

rebelmaths

An experiment is performed twice, each with $5$ outcomes

$x_i,\;y_i,\;i=1,\dots 5$ . Find mean and s.d. of their differences $y_i-x_i,\;i=1,\dots 5$.

An experiment is performed twice, each with $5$ outcomes

$x_i,\;y_i,\;i=1,\dots 5$ . Find mean and s.d. of their differences $y_i-x_i,\;i=1,\dots 5$.

Find a regression equation.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

Given sequences with missing terms, find the common difference between terms.

Find the dot product and the angle between two vectors

Question on the exponential distribution involving a time intervals and arrivals application, finding expectation and variance. Also finding the probability that a time interval between arrivals is less than a given period. All parameters and times randomised. 

Given a statement in words of a relationship between two variables, write down a corresponding formula. It's marked correct if values satisfying the relationship satisfy the formula, and values not satisfying the relationship don't.

Then, given a value for one of the variables, work out the value of the other one. They're substituted into the formula given in the first part and marked correct if it's satisfied.

Both parts use custom marking algorithms.

Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

Paired t-test to see if there is a difference between times taken to complete a task.

Ask for the squares of five randomly-chosen numbers between 0 and 15.

The shuffle function puts a list in random order.

Finding the distance between two complex numbers using the modulus of their difference. Three parts.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

Practice of conversion between SI units of mass, volume & length.

These short questions concentrate on conversion between decimals and percentages.

Find the dot product and the angle between two vectors

Find the dot product and the angle between two vectors

Find the angle between two vectors

This question assesses the students ability to calculate and convert between different types of compound units, including rates of pay, speed and unit pricing.

Converting between giga, mega, kilo, base, milli and micro, nano. Metres, grams and litres.

Practice of conversion between SI units of mass, volume & length.

Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

rebelmaths

The student will be given 2 integers between -9 and +9 to add together.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Practice of conversion between SI units of mass, volume & length.

Questions asking you to find the equation of a line between two points, in Cartesian coordinates.