## Stoichiometry Calculation

2020 Oct Nov Paper 12 Q5 A white powder is known to be a mixture of magnesium oxide and aluminium oxide. 100 cm3 of 2 mol dm-3 NaOH (aq) is just enough to dissolve the aluminium oxide in (x) grams of the mixture. The reaction is shown.[Al _{2} O _{3}+2 OH ^{-}+3 H _{2} O … Read more

## Finding Quadratic/Cubic Expression from Graph

2020 May June Paper 11 Q1 The diagram shows the graph of a cubic curve y = f(x). (a) Find an expression for f(x). (b) Solve f(x) ≤ 0.  2020 Oct Nov Paper 12 Q2 The diagram shows the graph of y = f(x), where f(x) is a cubic polynomial.  (a) Find f(x). (b) … Read more

## Solving Simultaneous Equations with Surd

2015 Oct Nov Paper 23 Q4 Solve the following simultaneous equations, giving your answers for both (x) and (y) in the form (a+b sqrt{3}), where (a) and (b) are integers.[begin{array}{r}2 x+y=9 \sqrt{3} x+2 y=5end{array}]

## Finding UnKnown By Comparing Equation with Surd

2014 Oct Nov Paper 21 & 22 Q9 Integers (a) and (b) are such that ((a+3 sqrt{5})^{2}+a-b sqrt{5}=51). Find the possible values of (a) and the corresponding values of (b). 2016 Oct Nov Paper 21 & 22 Q2 Without using a calculator, find the integers (a) and (b) such that (frac{a}{sqrt{3}+1}+frac{b}{sqrt{3}-1}=sqrt{3}-3). More Similar Questions 2016 … Read more

## Expanding Bracket with Surds

2014 May June Paper 23 Q5(i) Do not use a calculator in this question.(i) Show that ((2 sqrt{2}+4)^{2}-8(2 sqrt{2}+3)=0).

## Solving Equation with Indices – Same Base

2012 Oct Nov Paper 22 Q6 (i) Given that (frac{2^{x-3}}{8^{2 y-3}}=16^{x-y}), show that (3 x+2 y=6).(ii) Given also that (frac{5^{y}}{125^{x-2}}=25), find the value of (x) and of (y).

## Surds Word Problem

2012 May June Paper 21/23 Q2 A cuboid has a square base of side ((2+sqrt{3}) cm) and a volume of ((16+9 sqrt{3}) cm ^{3}). Without using a calculator, find the height of the cuboid in the form ((a+b sqrt{3}) cm), where (a) and (b) are integers. 2015 May June Paper 22 Q3 Do not use … Read more

## Solving Quadratic Equation with Surd

2011 Oct Nov Paper 23 Q4 Without using a calculator, find the positive root of the equation[(5-2 sqrt{2}) x^{2}-(4+2 sqrt{2}) x-2=0,]giving your answer in the form (a+b sqrt{2}), where (a) and (b) are integers. More Similar Questions 2014 May June Paper 23 Q5(ii) Do not use a calculator in this question.(ii) Solve the equation ((2 … Read more