Given the graphs of two functions $f$ and $g$ can you sketch the graph of $f+g$?

Given the graphs of two functions $f$ and $g$ can you sketch the graph of $f+g$?

Deduce some properties of elements of $\mathbb F_4$, given its multiplication table. (E.g., which element is the zero, the one element, ...)

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the gifted proportion as a decimal, and the proportion of those who receive support as a decimal, and are required to find the proportion of the whole school who are gifted but do not receive support (as a decimal). There are 9 versions of this question.

Matrix by scalar and matrix by matrix multiplication exercises.

Questions testing understanding of the precedence of operators using BIDMAS applied to integers. These questions only test IDMAS. That is Indices, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Questions testing addition, subtraction, multiplication of numerical fractions and reduction to lowest terms. They also test BIDMAS in the context of fractions.

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

Multiplication of complex numbers. Four parts.

Product of one of 2, 3, 5, 9, or 10 by a number up to 10. With hints to learn calculation rather than memorisation.

Questions which try to emphasise that f(x) does not mean f times x.

Addition and subtraction of matrices; multiplication by scalar.

Introduction to modular arithmetic using a multiplication table and lookup.

Introduction to modular arithmetic in $\mathbb Z_b$ using a multiplication table and lookup with coprime $b \in \mathbb N$.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

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Multiply two numbers in standard form, then divide two numbers in standard form.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Multiplication and division of upper and lower bounds.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Multiplication of $2 \times 2$ matrices.

Gradient of $f(x,y,z)$.

Should warn that multiplied terms need * to denote multiplication.

Find all points for which the gradient of a scalar field is orthogonal to the $z$-axis.

Should warn that multiplied terms need * to denote multiplication.

Curl of a vector field.

Should warn that multiplied terms need * to denote multiplication.

Multiplication of $2 \times 2$ matrices.

Very elementary matrix multiplication.