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

Add, subtract, multiply and divide algebraic fractions.

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Add, subtract, multiply and divide algebraic fractions.

Add, subtract, multiply and divide algebraic fractions.

This questions is for thos epractising numerical reasoning tests. Here the focus is on manipulating the data using the 4 basic maths operations.

These questions focus on using the 4 basic maths operations to answer numerical reasoning tests.

This question focusses on being able to apply the 4 basic maths operations and also use the calculator effectively.

Some basic tests of adding, scaling, and multiplying matrices.

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.

(Last three parts of original question removed.)

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

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Add, subtract, multiply and divide algebraic fractions.

Add, subtract, multiply and divide algebraic fractions.

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

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

Given a 3x3 matrix with very big elements, perform row operations to find a matrix with single-digit elements. Then reduce that to an upper triangular matrix, and hence find the determinant.

Given a 3x3 matrix with very big elements, perform row operations to find a matrix with single-digit elements. Then reduce that to an upper triangular matrix, and hence find the determinant.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

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

Addition and subtraction of integers and decimals.

Complete the inequality relationships by selecting the correct symbol from a drop down box