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The Maths Studio is a personal (ongoing) project of a NSW Maths Teacher, providing quality HSC exam revision content since 2020.

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1997 Maths 2u HSC Q8a Solve abstract geometry proof problem using angle & triangle properties
6:31
1997 Maths 2u HSC Q8a Solve abstract geometry proof problem using angle & triangle properties
1997 Maths 2u HSC Q7c Solve worded velocity problem involving exponential decay
5:36
1997 Maths 2u HSC Q7c Solve worded velocity problem involving exponential decay
1997 Maths 2u HSC Q7b Find exact volume of solid of revolution of curve y=tan²(2x) about x-axis
3:52
1997 Maths 2u HSC Q7b Find exact volume of solid of revolution of curve y=tan²(2x) about x-axis
1997 Maths 2u HSC Q7a Prove trigonometric identity sec²(θ) - tan²(θ) = 1
1:43
1997 Maths 2u HSC Q7a Prove trigonometric identity sec²(θ) - tan²(θ) = 1
1997 Maths 2u HSC Q6b Solve worded problem involving area of squares & sum of arithmetic series
5:52
1997 Maths 2u HSC Q6b Solve worded problem involving area of squares & sum of arithmetic series
1997 Maths 2u HSC Q6a Solve optimisation problem involving maximising area of right-angled triangle
8:57
1997 Maths 2u HSC Q6a Solve optimisation problem involving maximising area of right-angled triangle
1997 Maths 2u HSC Q5d Find distance travelled by bouncing ball using geometric series limiting sum
5:32
1997 Maths 2u HSC Q5d Find distance travelled by bouncing ball using geometric series limiting sum
1997 Maths 2u HSC Q5c Draw a graph that represents $prices rising over time but at a decreasing rate
1:20
1997 Maths 2u HSC Q5c Draw a graph that represents $prices rising over time but at a decreasing rate
1997 Maths 2u HSC Q5b Prove congruent triangles inside a square & solve related geometry problem
4:24
1997 Maths 2u HSC Q5b Prove congruent triangles inside a square & solve related geometry problem
1997 Maths 2u HSC Q5a Evaluate definite integral of e^(-x) from x=0 to x = ln(7)
1:47
1997 Maths 2u HSC Q5a Evaluate definite integral of e^(-x) from x=0 to x = ln(7)
1997 Maths 2u HSC Q4c Find area of region bounded by 2 intersecting curves & x-axis by integration
2:21
1997 Maths 2u HSC Q4c Find area of region bounded by 2 intersecting curves & x-axis by integration
1997 Maths 2u HSC Q4b Sketch graphs of y=x²-6, y=|x| & solve inequality x²-6≤|x| graphically
4:32
1997 Maths 2u HSC Q4b Sketch graphs of y=x²-6, y=|x| & solve inequality x²-6≤|x| graphically
1997 Maths 2u HSC Q4a Estimate value of integral using 2 applications of Simpson's rule
1:28
1997 Maths 2u HSC Q4a Estimate value of integral using 2 applications of Simpson's rule
1996 Maths 2/3 Unit (Common) HSC exam paper complete worked solutions (themathsstudio.net)
1:55:28
1996 Maths 2/3 Unit (Common) HSC exam paper complete worked solutions (themathsstudio.net)
1996 Maths 2u HSC Q10c Find arc lengths possible between 2 points on a circle 200 m apart
3:31
1996 Maths 2u HSC Q10c Find arc lengths possible between 2 points on a circle 200 m apart
1996 Maths 2u HSC Q10b Estimate circle radius & centre angle using given arc length & graphs drawn
5:28
1996 Maths 2u HSC Q10b Estimate circle radius & centre angle using given arc length & graphs drawn
1996 Maths 2u HSC Q10a Graph line y=2x/3 & curve y=sin(x) & find m such that sin(x)=mx has solution
4:30
1996 Maths 2u HSC Q10a Graph line y=2x/3 & curve y=sin(x) & find m such that sin(x)=mx has solution
1996 Maths 2u HSC Q9 Solve calculus problem involving relative position & velocity of 2 particles
13:29
1996 Maths 2u HSC Q9 Solve calculus problem involving relative position & velocity of 2 particles
1996 Maths 2u HSC Q8b Prove similar triangles & find dimensions of minimum area using calculus
8:53
1996 Maths 2u HSC Q8b Prove similar triangles & find dimensions of minimum area using calculus
1996 Maths 2u HSC Q8a Find 2-stage selection without replacement, non-mutually exclusive probability
3:42
1996 Maths 2u HSC Q8a Find 2-stage selection without replacement, non-mutually exclusive probability
1996 Maths 2u HSC Q7b Prove congruent triangles & hence show that two given lines are parallel
6:06
1996 Maths 2u HSC Q7b Prove congruent triangles & hence show that two given lines are parallel
1996 Maths 2u HSC Q7a Sketch graphs of y=2cos(x), y=2cos(x)-1 & find exact x-intercepts of 2cos(x)-1
3:47
1996 Maths 2u HSC Q7a Sketch graphs of y=2cos(x), y=2cos(x)-1 & find exact x-intercepts of 2cos(x)-1
1996 Maths 2u HSC Q6b Solve worded problem involving practical application of an arithmetic sequence
4:20
1996 Maths 2u HSC Q6b Solve worded problem involving practical application of an arithmetic sequence
1996 Maths 2u HSC Q6a Solve worded problem involving application of 1st & 2nd derivatives & graphing
7:47
1996 Maths 2u HSC Q6a Solve worded problem involving application of 1st & 2nd derivatives & graphing
1996 Maths 2u HSC Q5d Sketch a graph of a function that has both 1st & 2nd derivatives less than 0
1:57
1996 Maths 2u HSC Q5d Sketch a graph of a function that has both 1st & 2nd derivatives less than 0
1996 Maths 2u HSC Q5c Find intersection point & area between exponential curves y=e^x-1 & y=e^-x
4:14
1996 Maths 2u HSC Q5c Find intersection point & area between exponential curves y=e^x-1 & y=e^-x
1996 Maths 2u HSC Q5b Solve monic quadratic equation by completing the square & quadratic formula
3:32
1996 Maths 2u HSC Q5b Solve monic quadratic equation by completing the square & quadratic formula
1996 Maths 2u HSC Q5a Find f(x) given f'(x)=3x²-2 & f(1)=3 using integration / anti-differentiation
2:22
1996 Maths 2u HSC Q5a Find f(x) given f'(x)=3x²-2 & f(1)=3 using integration / anti-differentiation
1996 Maths 2u HSC Q4b Use extended trapezoidal rule to find an approximate value for pi
6:13
1996 Maths 2u HSC Q4b Use extended trapezoidal rule to find an approximate value for pi
1996 Maths 2u HSC Q4a Find volume of solid of revolution when line y=x+1 is rotated about the x axis
4:04
1996 Maths 2u HSC Q4a Find volume of solid of revolution when line y=x+1 is rotated about the x axis