ST SPRING SECONDARY SCHOOL"THIRST FOR KNOWLEDGE"

Name: ( ) Class: Date:

MARCH HOLIDAY ASSIGNMENT

1 (a) Express 87 000 in standard form. [ 1 ](b) Express 1.2x10~4 as decimal. [ 1 ](c) The distance from the Sun to the Earth is 149.6 million kilometres.

Write 149.6 million in standard form. [ 1 ]

2. Given* = 9 120000,>'= 4.2 x l O 5 andz = 0.000 004.

(a) Express x and z in standard form. [2]

(b) Calculate the values of the following, expressing your answers in standard form,correct to 3 significant figures.

(i) J— (H) —- [2]X Z

3. Simplify, giving your answer in positive index where applicable.f^\ n

2 v n~? r-)i(d) p X p [ Z J

(b) f^-j [2]

wfe3-W4T ra[2]

\-23/..6 I ^

~(3ab)3x4a-2b

( 2 'V2 ( ' V3

(f) i x V j +|*V| [2]

oo m

(h)f^VxV7 [2]

4. Find the values of x in the following equations

(a) 7 ' r=343 [2]

(b) 34-81 = 3* [3](c) 5 v x 5 ^ ' = 6 2 5 [2]

i(d) 3^^ = 2 [2]

5. Solve the following equations, giving your answers correct to 3 significant figureswhere needed.

(a) 5*(3jt+2) = 4(2-jc) [2]

(b) 4(x-l)2=x + 9 [3]

(c) (x^3)2=3x + 7 [3]

(d) -A---*- = 3 [3]x - 1 x - 1

6. Solve the following equation, using completing the square method, giving youranswers correct to 2 decimal places where needed.

y2+6y-3 = Q [2]

7. (a) John bought x number of toy cars at a cost of $ 1 08.(i) Write down an expression in terms of x, in dollars, for the cost price of each toy

car, [1](ii) He decided to sell each toy at a profit of $1.50. Find an expression in terms of

x, in dollars, the selling price of each toy car. [1]

(b) After one week, he noticed that he was only able to sell 10 toy cars at this price.He decided to sell the remaining toy cars at $7.50 each.

(i) Find an expression and simplify, in terms of x, for the total amount of money hereceived after selling all the toy cars. [2]

(ii) If John received $120 altogether after selling all the toy cars, form an equationin x and show that it reduces to x2 - 24x + 144 = 0 . [2]

(iii) Solve the equation to find the cost price of each toy car. [2]

8. The diagram shows two congruent quadrilaterals where ,45 = 10 cm, BC = 12 cm,ZD = 100°,MV=2cm, /I = 75° and ZO = 36° .(a) State the quadrilateral congruent to ABCD. [I](b) Find the values of x and y. [2]

A 10cm

9. In the figure, MPO is similar to MBC. Given that AP = 4.2 cm, AO = 2.8 cm,BO = 4.9 cm and BC = 3.6 cm. Find, correct to 2 decimal places,(a) the length of PO and, [2](b) the length of PC. [2]

r4 SCHOOL CLASS DATE.

NAME/INDEX

kO SI ODD = £-1 Y It?

b 1-2 * ID "4" =

20;

c? Ig -4-

x IC?'Z

-3

SCHOOL.. CLASS DATE

NAME/INDEX NO. SUBJECT

d) -*O '*J2 }_

J6a3^2

oz

^

A-

( IEZifcj

SCHOOL . CLASS DATE

NAME/INDEX NO SUBJECT

kl ± B\=- 3+ = 3

34- 4 -

- 3

x 5*-*<=

^—S

~\ - 4-

2

=

S

a = 15 ,

X =

1-3333

€5eis

SCHOOI CLASS DATE

NAME/INDEX NO SUBJECT

t)= x

-S* -X +±£^

^5~i

= Q±

;C 3-~7l

-I"

—2TT?

T± J /

Xr . -3- jr

SCHOOI CLASS DATE

NAME/INDEX NO SUBJECT

2 x-T^T- - -jb- <^c=

- 3

3 Czz~ O =

-3-2 ~

a= 4, ,1= ~^~

*'- —S^L or -^^

= - -25

J

£

2 \ fj —-?"J? Or- U - -J<2 ^P

^(Z

-f

+ ^x ^eis

SCHOOL CLASS DATE

NAME/INDEX NO. SUBJECT

\)

\o?o 4- -f

1-5X,* - f

-f (44 =

- 12

KJ o-̂i

- *.M "- P - '

-Jt*- 75° -

:r "TO~

-4-2

4,2. x^ 5-&3Z3

7^=

-S A. (il