ebneter_chick

A souvenir company is making sets of silver drink coasters.

Each coaster will be 0.5cm thick. They will use 200cm^3 of silver to make each set of eight coasters.

Calculate the radius of each of the coasters.

convert the following units to those given in the brackets:

c. 7L (cm^3)

d. 36000mm^3 (m^3)

one red marble and one white marble are in a box. One marble is drawn at random, the colour noted and the marble returned to the box, then another marble is drawn and the colour noted.

a. Draw a table or tree diagram to show the sample space.

b. Find:

i. P (both marbles are red).

ii. P (one is red and the other is white)

Using a standard deck of cards, find:

a. P (red card)

b. P (spade or a 7)

c. P (black 3)

The following questions relate to compounding interest.

a. $50000 is invested at 5.2% p.a. compounding quarterly for 6 years. State the term (or compounding) length (T) in years and the number of terms (n).

b. Keshia places $12000 in a term deposit that earns 4.75% p.a. interest compounding monthly, for 7 months.

i. State the values of P, R, T and n.

ii. Calculate the amount of money in the term deposit at the end of the 7 months.

iii. How much interest did she make?

Calculate the tax payable on an annual net income of $33500.

tax table: http://i31.photobucket.com/albums/c371/kungfukitty...

Joshua is a 'Funeral services employee Grade 4' and earns $578.36 per week for a 38 hour week. Last week he worked 3 hours of overtime that was paid at time and a half.

i. What is Joshua's hourly rate of pay?

ii. What is the overtime rate of pay?

iii. How much did Joshua earn last week?

Leanna works in a Dairy and holds a Milk Grading Certificate. She is also in charge of 3 people. She works a 38 hour week at an hourly rate of $13.77.

The following is an extract from the Award:

5.3 Allowances

5.3.1 General hands holding either Milk Grading Certificate shall be entitled to $12.30 per week over the minimum wage.

5.3.2 Any person in charge of other employees shall be paid the following in addition to the above rates-

When in charge of 3 and no more than 5 employees: $11.70 per week

Calculate Leanna's weekly wage.

Find the simple interest earned on $15000 if the rate is:

a. 5.6% p.a. for 3years

b. 4.25% p.a. for 7months

a. Find 22% of 862

b. A 425g tin of tuna in springwater contains 70% tuna. How many grams of tuna is in the can?

c. Susan offers to sell houses for 2.2% commission. How much commission will she earn on a home that sells for $315000?

Question:

Cain and Abel buy a business together. Cain invests $45 000 and Abel invests $30 000. If their first annual is $90 000 and is to be split in the same ratio as their investments, how much should they each receive?

Divide the following amounts into the given ratio.

a. 72kg in ratio 11:7

b. 3 weeks in the ratio 2:5

c. 360kg in ratio 2:3:4

Simplify the following ratios:

a. 25:60

b. 5 5/7:2 1/2

c. 2.4: 7.2

d. $2.40 is to 60c

e. 9 months is to 1 year

http://i31.photobucket.com/albums/c371/kungfukitty...

http://i31.photobucket.com/albums/c371/kungfukitty...

http://i31.photobucket.com/albums/c371/kungfukitty...

http://i31.photobucket.com/albums/c371/kungfukitty...

KP= Knowledge and procedures

MPS= Modelling and problem solving

http://i31.photobucket.com/albums/c371/kungfukitty...