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. 

Understanding order of operations on a calculator and using power and root keys.

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

(Last three parts of original question removed.)

Understanding order of operations on a calculator and using power and root keys.

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

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)                                 

Understanding order of operations on a calculator and using power and root keys.

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

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

This is a set of questions designed to help you praction adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

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

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

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

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

Add, subtract, multiply and divide algebraic fractions.

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

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

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

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

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

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

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

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Order of precedence for multiplication, division, addition, subtraction.

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

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

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