ATARMAxxing · Mathematics Methods – Foundation
TCE Mathematics Methods – Foundation Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the TCE Mathematics Methods – Foundation Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- Algebra
- Multiple choice × 10
- Expand × 1
- Factorise × 1
- Solve × 1
- Simplify × 1
- Polynomial functions and graphs
- Multiple choice × 10
- Sketch × 1
- Determine × 1
- State × 1
- Exponential, logarithmic and circular (trigonometric) functions and graphs
- Multiple choice × 10
- Solve × 1
- Sketch × 1
- Convert × 1
- Show that × 1
- Calculus
- Multiple choice × 9
- Differentiate × 1
- Find × 1
- Hence × 1
- Probability and statistics
- Multiple choice × 9
- Calculate × 1
- Determine × 1
Sample question
Expand (3x−2)⁴. Show the binomial coefficients used and simplify all five terms.
Show the worked answer
Answer: Worked solution
The coefficients are 1,4,6,4,1, giving (3x)⁴+4(3x)³(−2)+6(3x)²(−2)²+4(3x)(−2)³+(−2)⁴ (1 mark). The simplified terms are 81x⁴ (1 mark), −216x³ (1 mark), +216x² (1 mark), and −96x+16 (1 mark). Thus the expansion is 81x⁴−216x³+216x²−96x+16.
Included in the TCE Mathematics Methods – Foundation Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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