Questions which rely on knowledge of standard integrals.

Practice questions on these topics.

Practice bank of multivariable calculus questions

A collection of true/false questions aiming to reveal misconceptions about concepts encountered in a first year pure maths course.

Given  $P(A)$, $P(A\cup B)$, $P(B^c)$ find $P(A \cap B)$, $P(A^c \cap B^c)$, $P(A^c \cup B^c)$ etc..

Questions testing understanding of numerators and denominators of numerical fractions.

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

No solutions given in Advice to parts a and c.

Tolerance of 0.001 in answers to parts a and b. Perhaps should indicate to the student that a tolerance is set. The feedback on submitting an incorrect answer within the tolerance says that the answer is correct - perhaps there should be a different feedback in this case if possible for all such questions with tolerances.

Multiple response question (2 correct out of 4) covering properties of continuity and differentiability. Selection of questions from a pool.

Can choose true and false for each option. Also in one test run the second choice was incorrectly entered, rest correct,  but the feedback indicates that the third was wrong.

Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.

Multiple response question (2 correct out of 4) covering properties of continuity and differentiability. Selection of questions from a pool.

Can choose true and false for each option. Also in one test run the second choice was incorrectly entered, rest correct,  but the feedback indicates that the third was wrong.

Multiple response question (2 correct out of 4) covering properties of continuity and limits of functions. Selection of questions from a pool.

Multiple response question (2 correct out of 4) covering properties of Riemann integration. Selection of questions from a pool.

15 questions based on module so far. 

Calculating rates and scaling rates. Drops per mL and drops per minute questions equivalent rate to unit rate.

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.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

15 questions based on module so far. 

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.

Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

25 questions on solving quadratic equations

25 questions on solving quadratic equations

15 questions based on module so far. 

These basic questions will help you understand the increase and decrease in percent change

These short questions concentrate on conversion between decimals and percentages.

These basic questions will help you expand one set of brackets for linear variables

Questions on vector arithmetic and vector operations, including dot and cross product.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.