Foundation Mathematics-DeCEMBER 15, 2011

7/30/2019 Foundation Mathematics-DeCEMBER 15, 2011

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ii. The product of 5 and the sum ofx and 3. [1 mark]

(c)Expand and simplifyi. ( )4 2 3n p n p [2 marks]

ii. ( ) ( )2 22 3 5 4 3x y y x y y+ + + [3 marks]iii. ( )( )3 3y x y + [3 marks]

(d)Simplifyi) 2 3 4

3 4

x x + [3 marks]

ii) 1 3 12 4

y

y

+ + [3 marks]

Total 20 marks

QUESTION 3

a. A store normally sells an outfit for $3570 but on a sale day, the store is

offering a 39% discount.

i) Calculate the discount amount. [2 marks]ii)What is the final sale price?? [2 marks]

b. What is the original price for an item on sale for $990 that has been reduced in

a sale by 25%? [3 marks]

c. If the sales tax for each purchase is 18%, what is the total purchase price paid

for an item listed for $8950?? [3 marks]

d. A restaurant donates 21% of each cash purchase to Food for the Poor. If a

couple spends $1390 on a meal, what will the donation amount be??

[3 marks]

e. Based on the work that Mark, Lisa, Angie and Fay did, they earned $6561 to

be divided among them at a ratio of 1:1:3:4 respectively. Calculate the amounteach person will receive. [4 marks]

Total 17 marks


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QUESTION 4

(a)The Venn diagram below shows the number of students doing Music (M), Art &Craft (A), and French (F) in a class of 50.

MA

F

2x 2 x 3 x 1

10

U

i. Write down an expression, in terms ofx, for the number of students who

do Art & Craft.

ii. Write down an equation, in terms ofx, which shows the information in theVenn diagram.

iii. Determine the number of students who do Music only.iv. Determine the number of students who do French

[1 + 2 + 2 + 2 marks]

(b)Given the universal set {1, 2, 3,...15} = and subsets {factors of 30}A = and{ }multiplrs of 2B =

i. List the elements of set1.

A [2 marks]2. B [1 mark]

3. ( )A B U [2 marks]4. A BI [2 marks]

ii. What is the value of ( )n A ? [2 marks]iii. Draw a Venn diagram to represent and its subsets: A and B.[4 marks]

Total 20 marks


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QUESTION 5

a. Given that 4

2+=

xxy i) Copy and complete the table below for -3 4 x

x -3 -2 -1 0 1 2 3 4

Y -2 2

(4 marks)

ii) Using a scale of 2cm to represent 1 unit on the x-axis and 1cm torepresent 1 unit on the y- axis, draw the graph of 42 += xxy

for values ofx, -3 4 x (4 marks)

iii) Using your graph, read off the points when the curve cuts the x-axis.(2 marks)

b. A line passes through the points (3 , 9) and ( 2 , 8)

i) Find the slope of the line (3 marks)

ii) Give the equation of the line that passes through points (3 , 9)and ( 2, 8). (3 marks)

Total 16 marks

END OF QUESTION PAPER

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Foundation Mathematics-DeCEMBER 15, 2011