This is a Mathematics Grade 11 Term 1 controlled test from the Eastern Cape, worth 60 marks, to be completed in one hour and ten minutes. Question 1 covers solving quadratic and exponential equations and simplifying expressions using the laws of exponents. Question 2 covers trigonometry, including finding sine and cosine values from a given tangent ratio without a calculator, proving trigonometric identities, and finding the general solution of a trigonometric equation.
The following document, Mathematics Grade 11 Term 1 Controlled Test.pdf, is the full document.
Term 1 Content Brief
Mathematics Grade 11 Term 1 Controlled Test PDF AOT-004
Key terms and skills covered include quadratic equations, laws of exponents, trigonometric ratios (sine, cosine and tangent), trigonometric identities, and general solutions of trigonometric equations.
The test consists of two questions over 4 pages, plus a marking guideline of 7 pages. Question 1 focuses on solving equations and simplifying exponential expressions. Question 2 focuses on trigonometry, including working with a given tangent ratio in a specific quadrant, proving identities, and finding general solutions.
By the end of this test, learners should be able to solve quadratic and exponential equations, simplify expressions using the laws of exponents, determine trigonometric ratios without a calculator using diagrams, prove trigonometric identities, and find the general solution of trigonometric equations.