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Use the intersecting secant theorem involving a secant and a tangent (443d)
2:38
Use the intersecting secant theorem involving a secant and a tangent (443d)
Form and solve non-linear simultaneous equations/systems of equations for a given context (419g)
5:17
Form and solve non-linear simultaneous equations/systems of equations for a given context (419g)
Solve simultaneous equations/systems of equations with variables in denominator of fractions (419f)
7:38
Solve simultaneous equations/systems of equations with variables in denominator of fractions (419f)
Solve simultaneous equations/systems of equations given in the form ax+by=c and x^2+y^2=d (419e)
7:27
Solve simultaneous equations/systems of equations given in the form ax+by=c and x^2+y^2=d (419e)
Solve non-linear simultaneous equations with one equation of a circle (419d)
7:36
Solve non-linear simultaneous equations with one equation of a circle (419d)
Solve non-linear simultaneous equations by substitution with a product or division involved (419c)
5:34
Solve non-linear simultaneous equations by substitution with a product or division involved (419c)
Solve non-linear simultaneous equations where y is the subject of both equations (419b)
5:02
Solve non-linear simultaneous equations where y is the subject of both equations (419b)
Use a given value of x or y to verify a point of intersection with given equations (419a)
2:58
Use a given value of x or y to verify a point of intersection with given equations (419a)
Combine the intersecting chord and intersecting secant theorems (443f)
4:47
Combine the intersecting chord and intersecting secant theorems (443f)
Use the intersecting secant theorem to form and solve a linear equation (443c)
2:51
Use the intersecting secant theorem to form and solve a linear equation (443c)
Use the intersecting chord theorem to determine the radius of a circle (443b)
1:50
Use the intersecting chord theorem to determine the radius of a circle (443b)
Use the intersecting chord theorem to determine an unknown length (443a)
1:33
Use the intersecting chord theorem to determine an unknown length (443a)
Connect the houses to water, gas and electricity
6:14
Connect the houses to water, gas and electricity
Use similar triangles to split a length in a ratio (292i)
3:42
Use similar triangles to split a length in a ratio (292i)
Determine a length using similar triangles combined with Pythagoras' theorem (292h)
3:35
Determine a length using similar triangles combined with Pythagoras' theorem (292h)
Determine an unknown shorter length on the coinciding side of one shape inside another (292g)
4:29
Determine an unknown shorter length on the coinciding side of one shape inside another (292g)
Determine lengths given 2 similar shapes, one is inscribed in the other requiring subtraction (292f)
2:57
Determine lengths given 2 similar shapes, one is inscribed in the other requiring subtraction (292f)
Calculate the amount of trimming required when enlarging an image from one size to another (292e)
3:22
Calculate the amount of trimming required when enlarging an image from one size to another (292e)
Determine missing lengths given two similar shapes and information about their perimeters (292d)
1:38
Determine missing lengths given two similar shapes and information about their perimeters (292d)
Determine unknown lengths given two similar shapes where one is inscribed inside the other (292c)
2:49
Determine unknown lengths given two similar shapes where one is inscribed inside the other (292c)
Determine unknown lengths given two similar triangles with one vertex in common (292b)
3:46
Determine unknown lengths given two similar triangles with one vertex in common (292b)
Determine unknown lengths given two separate similar shapes (292a)
1:22
Determine unknown lengths given two separate similar shapes (292a)
Collect like terms with powers and combinations of two variables within each term (193f)
4:52
Collect like terms with powers and combinations of two variables within each term (193f)
Collect like terms with powers (193e)
4:56
Collect like terms with powers (193e)
Collect like terms involving multiple variables and without powers (193d)
3:46
Collect like terms involving multiple variables and without powers (193d)
Collect like terms involving multiple variables, which are positive and without powers (193c)
4:30
Collect like terms involving multiple variables, which are positive and without powers (193c)
Add and subtract algebraic terms containing the same variable (193b)
2:07
Add and subtract algebraic terms containing the same variable (193b)
Add algebraic terms containing the same variable (193a)
2:03
Add algebraic terms containing the same variable (193a)
Determine if two shapes are similar given their lengths, considering the ratio of lengths (291e)
1:48
Determine if two shapes are similar given their lengths, considering the ratio of lengths (291e)
Identify similar shapes (291d)
3:55
Identify similar shapes (291d)