Grade 12 Advanced • Term 1 • English

Exam Coverage Practice

One practice page for every item of the exam coverage: instant marking and a step-by-step solution for every question. Free, with no sign-up.

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Item practice

Item 1

Estimate an arc length of a given function

Multiple choice • 4 questions • 12 marks
Practise
Item 2

Find a limit algebraically or graphically, if it exists

Multiple choice • 4 questions • 12 marks
Practise
Item 3

Use the squeeze theorem to find limits

Multiple choice • 4 questions • 12 marks
Practise
Item 4

Find limits for polynomials, rational, and trigonometric functions using theorems

Multiple choice • 4 questions • 12 marks
Practise
Item 5

Study the continuity of a function at a given point

Multiple choice • 4 questions • 12 marks
Practise
Item 6

Use the continuity properties to study the continuity of a function or a composition of functions at a given point

Multiple choice • 4 questions • 12 marks
Practise
Item 7

Find infinite limits and limits at infinity

Multiple choice • 4 questions • 12 marks
Practise
Item 8

Find the average and instantaneous velocity at a given point

Multiple choice • 4 questions • 12 marks
Practise
Item 9

Sketch the graph of a function using that of its derivative

Multiple choice • 4 questions • 12 marks
Practise
Item 10

Find the derivative of a function at a given point

Multiple choice • 4 questions • 12 marks
Practise
Item 11

Find the derivative of a function using the Power Rule at a given point

Multiple choice • 4 questions • 12 marks
Practise
Item 12

Applying the rules of multiplication and division to derivatives

Multiple choice • 4 questions • 12 marks
Practise
Item 13

Apply the chain rule in differentiation

Multiple choice • 4 questions • 12 marks
Practise
Item 14

Find the derivative of an inverse function using the chain rule

Multiple choice • 4 questions • 12 marks
Practise
Item 15

Find the derivatives of trigonometric functions using differentiation rules

Multiple choice • 4 questions • 12 marks
Practise
Item 16

Find the derivatives of exponential functions

Multiple choice • 4 questions • 12 marks
Practise
Item 17

Find the derivatives of natural logarithmic functions

Multiple choice • 4 questions • 12 marks
Practise
Item 18

Find derivatives implicitly

Multiple choice • 4 questions • 12 marks
Practise
Item 19

Use implicit differentiation to find derivatives of inverse trigonometric functions

Multiple choice • 4 questions • 12 marks
Practise
Item 20

Recall the hypotheses of Rolle's Theorem

Multiple choice • 4 questions • 12 marks
Practise
Item 21

Determine the continuity of a function at a given point, and use the continuity properties for a function or a composition of functions

Written answers • 4 questions • 12 marks
Practise
Item 22

Find horizontal, vertical, and slant asymptotes using limits

Written answers • 4 questions • 12 marks
Practise
Item 23

Apply the product rule to derivatives

Written answers • 4 questions • 12 marks
Practise
Item 24

Find the derivatives of trigonometric functions using differentiation rules

Written answers • 4 questions • 12 marks
Practise
Item 25

Solve real-life problems using derivatives of exponential and logarithmic functions

Written answers • 4 questions • 12 marks
Practise
Item 26

Understand the Mean Value Theorem and use it in applications

Written answers • 4 questions • 12 marks
Practise

Practice tests

Exam models

Exam model 1

Full ministry-style exam model 1

Electronic paper + written paper • timed
Exam model 2

Full ministry-style exam model 2

Electronic paper + written paper • timed
Exam model 3

Full ministry-style exam model 3

Electronic paper + written paper • timed
Exam model 4

Full ministry-style exam model 4

Electronic paper + written paper • timed