Everything Maths Grade 10

A probability of 0 means that an event will never occur. A probability of 1 means that an event will always occur. A probabilit ...

The sample space can be described asfn:n εZ; 1 n 15 g. They are asked to identify the event set ofB. They get stuck, and you o ...

3 2 1 4 5 6 7 9 8 10 11 12 13 14 15 A B (A[B)′ A\B S The sample space can be described asfn:n εZ; 1 n 15 g. They are asked to ...

Age 3 years old 4 years old 5 years old Male 2 7 6 Female 6 5 4 If a child is selected at random what is the probability that th ...

19.280 tickets were sold at a raffle. Jabulile bought 15 tickets. What is the probability that Jabulile: a)wins the prize b)does ...

25.For each of the following, draw a Venn diagram to represent the situation and find an example to illustrate the situation. a) ...

a)Represent the information in a Venn diagram. b)How many people have no interest in reading magazines or books? c)If a person i ...

Solutions to exercises 1 Algebraic expressions Exercise 1 – 1: a)Z b)(ii) a)between the rectangle andZ b)(ii) a)real b)real c)n ...

f) 8 a^4 12 a^3 b+2a^2 b^2 +3ab^3 b^4 g) 9 x^2 + 6xy 3 y^2 h) 5 x^2 6 xy 2 y^2 i) x 122 + 127 +x^32 j) x 32 +^103 x^82 k) 10 x ...

a) a 5 b) a+5 2 c) 5 d)a e)^32 a f) aa+3+2 g) a(3bb+1) h)^4 xy 3 i) p(y 3 y2) j)^3 x 2 +4 k)b+9 2 l) tt+ss m) x+3 5 n) xx+3^3 o ...

b) 25 c) 2400800 d) 100 a) 11  13 b) 23  3  7 c) 29  31 d) 32  11 e) 3  13  41 a)(a3)(a+ 3) b)9(b3)(b+ 3) c) ( m^13 ) ( ...

t) 3 or 1 u) 3 v) 2 7 3.x2,81 4.x1,49 Exercise 2 – 4: a) 512 x^3 b) 2 t^3 c) 55 x+y+3z d) 1515 x e) 7 f) 21 d^7 g)^187 a^1 ...

b)Tn= 3n 1 c) 89 a)T 1 = 4 b) 3 c)Tn= 3n+ 1 d)76 matchsticks 10 a)d= 3y+ 3 b)T 1 = 7 andT 2 = 1 a)^13 b)^16 ;^32 and^196 21.T 8 ...

10.x=aorx=b 11.b=pc^2 a^2 12.U=WVWV 13.r= √ AR^2  14.C=^59 (F 32 °) 15.r= 3 √ (^34) V  16.x=a+ 4orx= 1 17.x= 2orx= 2 18.x=3 ...

j)b= 4 k)a= 1 l)x 2 m)x < 1 n)x >^58810 o)a 7 p) 3 k < 2 q)x= 7orx= 6 r)x= 1 orx= 2 s)x=^38 t)x=(aab)fora; b̸= 0anda ...

d) 1 a) 54 b) 2582 a) 178 b)^158 c) 1 137 7. a) 158 b) 45 a) p 89 b) p^889 c) p^589 d)^85 e) p 89 8 f) p 89 5 g)^58 h) 1 a ...

b) 11 c) 2 d) 3 e) 8 f) 1 g) 10 h) 3 a)R 108,88 b)R 199,36 c) 22,043 L d)22,071 L e)1,15V a) 7 m b)0 ms(t)10 m c) The domai ...

4,5 11.E(180◦; 1), rangey 2 Rand domain 0    360 ; x ̸= 90 ; x̸= 270 a)y= 2 cos b)y=sin+ 1 90 ◦<  < 270 ◦ 0 ◦<  ...

c)y=x^3 d)y=x+ 2 e)y= 5sin+ 1 f)y= 2 2 x+ 1 g)y=tan 2 a)A(90◦; 1); B(90◦;1); C(180◦; 2)andD(360◦; 1) b) 0 c) 1 d) 5 a)A(90◦; ...

a)A^= 4 q+ 121◦ b) 18 ◦ 16. a)K^ = 9 b+ 122◦ b)^163 Exercise 7 – 8: a)straight angle b)obtuse angle c)acute angle d)right angle ...