math exo hk

1 Chapter 1 Directed Numbers 1A p 2 1B p 12 1C p 25 Chapter 2 Using Algebra to Solve Problems (I) 2A p 38 2B p 51 2C p 59 2D p 67

New Century Mathematics (2nd Edition) 2B 10 Pythagoras’ Theorem [In this exercise unless otherwise stated give the answers correct to 3 significant figures if necessary ] Level 1 1 Write down the positive square root of each of the following numbers (a) 1 (b) 25 (c) 64 2 Write down the negative square root of each of the following numbers

F 4 Mid-year Exam 2019-2020 Page 2 of 6 Math CP 1A Section A (40 marks) 1 Solve the quadratic equation 3 2 7 0xx2 (3 marks) 2 The coordinates of the points A B C are (6 1) (2 5) and ( 2 1) respectively Find the equation of the straight line passing through A and the mid-point of BC (4 marks)

(a) Montrer que l'ensemble HK = {xy x ∈ Hy ∈ K} est un sous-groupe de G si et seulement si HK = KH (b) Montrer que si H et K sont finis alors HK = H· 

To keep abreast of the ongoing development of school curriculum Mathematics Curriculum and Assessment Guide (Secondary 4 6) hereinafter referred to as “C&A - Guide” was updated in December 2017 Senior Secondary Mathematics Curriculum comprises a Compulsory Part and an Extended Part The ExtendedPart has two

Hk = 1 k!X(X −1) (X −k+1) Calculer ∆(Hk) 4 Soit Q ∈ Rn−1[X] Comment trouver P ∈ Rn[X] tel que ∆(P) = Q 5 Déterminer P pour Q = X2 tel que P(1) 

New Century Mathematics (Second Edition) 4B 7 Exponential Functions Consolidation Exercise 7A Level 1 1 Without using a calculator find the value of each of the following expressions 3(a) 27 (b) 4 256 (c) 6 64 (d) 3−8 5(e) −125 (f) −243 2

HK car HK est un sous-groupe Donc KH ⊆ HK On a par ailleurs (hk)−1 = h k pour un h ∈ H et un k ∈ K car (hk)−1 ∈ HK Donc hk = k −1 h −1 ∈ KH On 

HKDSE-MATH-M1–6 (Sample Paper) 37 12 (a) Let f(t) be a function defined for all t ≥ 0 It is given that f′(t) = e2bt + ae bt +8 where a and b are negative constants and f(0) = 0 f′(0) = 3 and f ′ (1) = 4 73 (i) Find the values of a and b (ii) By taking b = − 0 5 find f( 12 ) (5 marks)

Exercice 43 ( 3 ) On note Hn le n-ième nombre harmonique introduit dans l'exemple 5 ci-dessus Montrer que pour tout entier n ≥ 2 n−1 ∑ k=1 Hk = nHn − 

Page 1 Exercices de mathématiques de Math Spé Archive compl`ete Lycée Henri hk Notons J=H ∩ K qui est un sous-groupe de G Alors il il y a équivalence