This practice quiz contains 40 numeracy questions, for students preparing for the Australian LANTITE numeracy test. Each question is randomised.

There are 10 questions each from the Number and Algebra, Measurement and Geometry, Statistics and Probability, and non-Calculator strands.

Students are allowed 75 minutes to complete the test. The questions are multiple choice, true/false or fill the number in the box.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are asked two true/false questions based on a table of data about the LANTITE test. The pair of true/false questions are randomly selected from a pool of five pairs of questions.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.

The statement contains two blank geogebra applets: one with the computer algebra view, which can be used as a calculator, and the other with algebra and geometry views.

There are custom functions which set the perspective of a geogebra applet and show the toolbar or algebra input line. These will probably be included in the geogebra extension eventually.

The statement contains two blank geogebra applets: one with the computer algebra view, which can be used as a calculator, and the other with algebra and geometry views.

There are custom functions which set the perspective of a geogebra applet and show the toolbar or algebra input line. These will probably be included in the geogebra extension eventually.

DCS 2023 Maths Entrance Test to be used September 2023

1.5 hours with 3 randomised questions from each of these groups:

• Notation and Algebra
• Calculus - Differentiation
• Calculus - Integration
• Trigonometry

Factorise two algebraic terms that have a numerical gcd > 1. Part of HELM book 1.3

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given a proportion of students who DO speak a language other than English at home, and are asked to find the percentage who do NOT. The fraction denominator is either 20 or 25, and the numerator is randomised.

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Simplifying algebraic expressions

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. SP = Statistics & Probability strand. Students read a percentage from the chart, and calculate that percentage of the number of children (randomly generated).

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of people that are fed with 200g of rice (randomised), and the total number of people to be fed (randomised). They need to calculate the weight of rice using proportional reasoning.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of pages read (randomised) and number of pages remaining (randomised), and asked to write the proportion read as a simple fraction.

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Find the remainder when dividing two polynomials, by algebraic long division.

Express $\displaystyle \frac{a}{x + b} \pm  \frac{c}{x + d}$ as an algebraic single fraction over a common denominator. 

Basic Algebra question, expand one set of brackets, coefficients may be positive or negative, pronumerals randomised.

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

several statements are given regarding trig identities. student is to select which are true and which are false