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 xlO 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] \-2 3/..6 I ^ ~(3ab) 3 x4a- 2 b ( 2 'V 2 ( ' V 3 (f) ixVj +|*V| [2] oo m (h)f^VxV7 [2] 4. Find the values of x in the following equations (a) 7' r =343 [2] (b) 3 4 -81 = 3* [3] (c) 5 v x5^'=625 [2] i (d) 3^^ = 2 [2]
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wfe3-W4T ramathemania3.weebly.com/.../1/...holiday_assignment.pdfMARCH HOLIDAY ASSIGNMENT 1 (a) Express 87 000 in standard form. [ 1 ] (b) Express 1.2x10~4 as decimal. [ 1 ] (c) The
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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]