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States of Matter: Solids, liquids and gases
The picture shows a wooden table with a glass of water and a spoon made of stainless steel sitting on top of it. Around the edges of the picture are representations of the various forms that matter is capable of taking. Both the spoon and the glass of water are examples of solid matter, but … Read more
Linear Equation Word Problems
Questions 1 A shoe factory produces 70 thousand pairs of leather shoes this year, 20 thousand pairs less than 2 times of last year, how many thousand pairs of leather shoes were produced last year? Questions 2 Town X and Town Y are 550 kilometers away from each other. Car A and Car B both … Read more
Probability
2009 May June Paper 6/1-Q5 At a zoo, rides are offered on elephants, camels and jungle tractors. Ravi has money for only one ride. To decide which ride to choose, he tosses a fair coin twice. If he gets 2 heads he will go on the elephant ride, if he gets 2 tails he will … 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
Rationalise the Denominator
2011 May June Paper 21 Q1 Without using a calculator, express (frac{(5+2 sqrt{3})^{2}}{2+sqrt{3}}) in the form (p+q sqrt{3}), where (p) and (q) are integers. 2014 May june Paper 21 Q2 Without using a calculator, express (6(1+sqrt{3})^{-2}) in the form (a+b sqrt{3}), where (a) and (b) are integers to be found. More Similar Questions 2012 Oct … Read more
Cambridge Additional Mathematics 2012 Past Paper May June Paper 21 | 23
Question 1 (i) Given that (A =left(begin{array}{rr}4 & -3 \ 2 & 5end{array}right),) find the inverse matrix (A ^{-1}).(ii) Use your answer to part (i) to solve the simultaneous equations[begin{array}{l}4 x-3 y=-10 \2 x+5 y=21end{array}] Question 2 A cuboid has a square base of side ((2+sqrt{3}) cm) and a volume of ((16+9 sqrt{3}) cm ^{3}). … Read more
Add Maths 2012 May-June Paper 21 23 Q12
Download pdf The equation of a curve is y=2x2−20x+37. Express y in the form a(x+b)2+c, where a,b and c are integers. Write down the coordinates of the stationary point on the curve. A function f is defined by f:x↦2x2−20x+37 for x>k. Given that the function … Read more
Function Oct/Nov 2011 Paper 13
Answer only one of the following two alternatives. EITHER A function f is such that f(x)=ln(5x−10), for x>2 (i) State the range of f. (ii) Find f−1(x). (iii) State the range of f−1. (iv) Solve f(x)=0. A function g is such that g(x)=2x−ln2, for x∈R. … Read more
Formulae and Equations 1 – P4
Magnesium carbonate reacts with hydrochloric acid to form calcium chloride, carbon dioxide and water. Complete the symbol equation for this reaction.MgCO₃ + HCl → MgCl₂ + __ + H₂O MgCO₃ + 2HCl → MgCl₂ + CO2 + H₂O b. Magnesium reacts with steam. Mg(s) + H2O(g) MgO(s) + H2(g) Write a word equation for … Read more