A simple ideal gas law question, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp.

A simple ideal gas law question, using number of molecules, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp. As such the boltzmann constant is in either J/K or L atm/K.

pV = 1/3 Nm<v2>

A simple ideal gas law question, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp.

Fourth part of the Core Foundation Maths pre-arrival self-assessment material:

Question 1:  Algebra IV: Properties of indices (1) - Multiplication/Division                                 

Question 2: Algebra IV: Properties of indices (2) - Fractions                                 

Question 3: Algebra IV - Properties of Indices (4) - Further

Question 4: Numbers V: standard index form (conversions and operations)                                 

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Apply and combine logarithm laws in a given equation to find the value of $x$.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

No description given

No description given

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Questions on powers, the laws of indices, and exponential growth.

This question aims to test understanding and ability to use the laws of indices.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Questions on powers, the laws of indices, and exponential growth.

Questions on powers, the laws of indices, and exponential growth.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Questions on powers, the laws of indices, and exponential growth.

No description given

Questions on powers, the laws of indices, and exponential growth.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Basic question on limit laws and the squeeze theorem for sequences.

No description given

This question aims to test understanding and ability to use the laws of indices.

This exam covers 

• laws of indices
• using surds and rationalising the denominator
• expanding brackets
• simplifying expressions
• solving linear inequalities
• finding common factors
• dividing a polynomial with remainders, using algebraic division
• factor theorem
• remainder theorem
• inverse and composite functions

This question tests the students ability to use the logarithm equivalence law to make x the subject of a given equation and to check which of a list of logarithmic expressions are equivalent to x.

No description given

Example showing how to calculate the probability of A or B using the law $p(A \;\textrm{or}\; B)=p(A)+p(B)-p(A\;\textrm{and}\;B)$. 

Easily adapted to other applications.

This exercise will help you in expanding brackets of linear variables