Merryn Horrocks

Find the vertical intercept of 4 lines. Part of HELM book 2.5.1

Describe the effect of changing the value of a constant term in a linear function. Part of HELM Book 2.5.1.

Exercises for HELM Book 2.4.3

Characterise the cosh function as continuous, many-to-one, even, and find the limit as x approaches 1. Part of HELM book 2.4.3.

Identify whether a function is odd, even or neither from its graph. Part of HELM Book 2.4.3.

Given the period of a repeating function, determine the number of repeats in a given amount of time. Part of HELM Book 2.4.

Exercises for HELM Book 2.4.1

Given a piecewise function determine whether the limit exists at two points. Part of HELM Book 2.4.1.

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

Compute the inverse of a linear or hyperbolic function. Part of HELM book 2.3.

Find the inverse of a linear function. Part of HELM book 2.3.

Determine whether three graphs are functions or not. Part of HELM Book 2.3.

Given parametric equations, graph the function and obtain an explicit equation. Part of HELM Book 2.2.2.

Use parametric equations to find x for a given value of y. Part of HELM Book 2.2.2.

Graph x^2 - y^2 = 1 from a parametric definition. Part of HELM Book 2.2.2.

Exercises for HELM Book 2.2.1

Identify the value that is not part of the domain of a function. Part of HELM Book 2.2.1.

Draw a graph of y=x^3 by plotting points. Part of HELM book 2.2.1

Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.

Asked to define a function term, e.g. domain, or x(t). Part of HELM book 2.2.1.

Graph the function y=x^2+2 on [-3,3] by plotting points. State the domain and range. This is part of HELM Book 2.2.1.

Evaluate a composition of functions for a randomised numerical input. The functions are 3t+2 and t+3. This is part of HELM Book 2.1.3.

HELM book 2.1.3 exercises

Given f(x)=(x+a)/(x+b) and g(x) = 1/x, compute f(g(x)) and g(f(x)).

a and b are randomised integers.

Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value

Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)

A set of practice questions for primary teaching students studying Mathematical Patterns and Relationships

convert large numbers to scientific notation

NC NA Non-calculator and Number and Algebra strand. This number assesses students' ability to add and subtract very simple fractions. Students need two add two fractions (possibly mixed numbers) involving quarters and/or halves, then subtract their answer from a whole number. The answer must be entered in simplest form and will always be less than one.

Convert between improper fractions and mixed numerals