OCR Maths Practice Questions PDF

Unit 1 ○ Classify collections of elements as sets or non-sets. ○ Use field axioms, such as the associative property, the distributive property, and the commutative property. ○ Identify whether specific numbers belong to specific sets, such as the set...

Unit 1 ○ Classify collections of elements as sets or non-sets. ○ Use field axioms, such as the associative property, the distributive property, and the commutative property. ○ Identify whether specific numbers belong to specific sets, such as the set of integers, the set of natural numbers, the set of rational numbers, the set of irrational numbers, and the set of real numbers. Unit 2 ○ Given a graph, table, equation, or mapping diagram, use the definition of a function to determine whether or not a relation is a function. ○ Given a function in a graph, table, equation, or mapping diagram, identify the domain and range. ○ Solve linear equations and absolute value equations. ○ Recognize and apply transformations graphically and algebraically to functions such as linear, quadratic, and absolute value functions. ○ Evaluate a composition of functions numerically and algebraically. ○ Find the inverse of a function algebraically. Unit 3 ○ Solve a system of equations in two variables involving two linear equations. ○ Solve a system of equations in three variables. ○ Use systems of equations to model and solve real-world applications. Unit 4 ○ Perform addition and subtraction between matrices. ○ Perform multiplication between matrices. ○ Perform multiplication between a matrix and a scalar. ○ Determine whether an arithmetic operation involving matrices is not possible. ○ Find the inverse of a 2x2 matrix.  ○ Calculate the determinant of a 2x2 matrix. ○ Write a system of equations as a matrix equation. ○ Model real world applications with matrices. Unit 5 ○ Factor a quadratic expression using a method of my choosing. ○ Factor an expression using difference of squares. ○ Factor an expression using the “factor by grouping” method. ○ Use completing the square with quadratic equations and expressions. ○ Convert between standard form and vertex form for a quadratic equation. ○ Apply vertical and horizontal translations to a quadratic function. ○ Apply reflections and dilations to a quadratic function. ○ Explain the relationship between the discriminant and the types of zeros of a quadratic function. ○ Find the equation of a quadratic function given its key features, such as vertex, axis of symmetry, and intercepts. ○ Describe the characteristics of a quadratic function given its equation. ○ Graph a quadratic function given its equation. ○ Find the zeros of a quadratic equation when they are real. Unit 6 ○ Add and subtract complex numbers. ○ Multiply complex numbers. ○ Divide complex numbers and simplify the resulting quotient into the form a + bi. ○ Plot complex numbers in the complex plane. ○ Calculate the modulus of a complex number. ○ Answer conceptual questions related to the modulus of a complex number. ○ Answer conceptual questions related to complex numbers and i. ○ Find the zeros of a quadratic equation when they are non-real.