Advanced Algebra (Year 11 IGCSE)

What type of number is π ?

• Rational
• Irrational
• Natural
• Integer

Simplify fully: 
13√7 - 7√7

• 6√7
• 6
• 7√6
• 6√0

Simplify fully: 
√48

• 2√12
• 4√3
• 4√12
• 16√3

Simplify fully: 
3√8 + √32

• 6√32
• 24√8
• 10√2
• 5√8

Rationalise the denominator and simplify fully:
^{(3 + √4)}/_√2

• ^5√2/₂
• ^{(3√2 +√8)}/₂
• ^{(3√2 +√8)}/₄ 
• ^5√2/_√4

Simplify the algebraic fraction:

• A
• B
• C
• D

Simplify the algebraic fraction:

• ⁶/_5x
• ^(x-4)/_(x-2)
• ^(x+3)/_(x+2)
• ^(x+3)/_(x-4)

Add Fractions

• A
• B
• C
• D

Solve the simultaneous equations

• x = 1, y = 2
• x = 2, y = 1
• x = -1, y = -2
• x = -11, y = 10

Solve the simultaneous equations

• (5, 3) or (0.6, 5.8)
• (5, 5.8) or (0.6, 3)
• (3, 5) or (5.8, 0.6)
• (3, 0.6) or (5.8, 5)