232 results for "arithmetic".

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• Question in Demos

The student is asked to enter an approximation to $\sqrt{n}$, where $n$ is not a square number, to 20 decimal places.

This question is a demonstration of the high precision arithmetic in Numbas v4.

• Question

Gentle intro to modular arithmetic through quotients and remainders

• Exam (7 questions)

Content assessed : complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.

This complex numbers in-class assesment counts 20% towards your final maths grade for WM104.

Note that although questions are randomised for each student, all questions test the same learning outcomes at the same level for each student.

If you have any questions during the test, please put up your hand to alert the invigilator that you need attention.

• Multiplication and addition of complex numbers. Four parts.

• Vectors
Draft
Exam (11 questions)

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

• Question

Solving an equation of the form $ax \equiv b\;\textrm{mod}\;n$ where $a$ and $n$ are coprime.

• Modular arithmetic

• Question

Calculations in $\mathbb{Z_n}$ for three values of $n$.

• Matrices
Draft
Exam (13 questions)

Questions on matrix arithmetic.

• Question

Elementary examples of multiplication and addition of complex numbers. Four parts.

• Inverse and division of complex numbers.  Four parts.

• Composite multiplication and division of complex numbers. Two parts.

• Question

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

• Exam (13 questions)

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

• Question

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do.

• Question

Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

• Question

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions.

• Question

Estimate the result of an arithmetic operation by first rounding numbers to given significant figures

• Question

The amount of money a person gets on their birthday follows an arithmetic sequence.

Calculate the amount on a given birthday, then calculate the sum up to that point.

• Question

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

• Fractions
Exam (6 questions)

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

• Question

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

• Question

Given arithmetic sequences with some terms missing, fill in the missing terms.

• Question

Given an equation with an unknown, determine if the unknown is positive or negative.

First part is the product of two numbers; second part is the product of three.

• Question

Given the common difference and first term of an arithmetic sequence, work out the index of the nth term of the sequence.

Framed as a word problem with ticket numbers in an ice cream shop.

• Question

Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.

Each part is broken into steps, with the formula given.

• Arithmetic sequences
Exam (7 questions)

Questions on arithmetic, or linear, sequences.

• Question

Addition and subtraction of integers and decimals.

• Arithmetic operations