# Search results

1. ### Surface Area question

1) A cuboid of length 5 m, breadth 3 m and depth 2 m required 4 tins of paint to give it three coats. How many tins of paint would be needed to give three coats of paint to a cuboid whose dimensions are doubled? 2) A rectangular prism has a Volume V. A second rectangular prism with edges twice...

a) In triangle PQR, the length of each side is a whole number of centimetres. Also, PQ is 14 cm longer than PR, and QR is 30 cm longer than PR. Find the minimum possible perimeter of triangle PQR in centimetres. b) A rectangular garden pond has a length 60 cm more than its width. The pond...
3. ### Challenging word problems (equations)

c) A man is now 5 times as old as his son. In 8 years time, he will only be 3 times as old as his son. How old is the father now? d) Dave is presently 20 years older than his daughter Alison. If Dave’s age 12 years from now is twice Alison’s age 12 years from now, find their present ages e)...
4. ### Challenge equations (word problems)

a) As a reward for a week of good behaviour, Tommy was given \$7 to spend at the school canteen. By the time Tommy got to the canteen, there were only chocolate bars, meat pies and pizza pieces left. The prices of a chocolate bar, a meat pie and a pizza piece were 75 c, \$1.05 and \$1.65...
5. ### Equations word problems

Please can you show working for the following: a) At a sale, Sarah spent \$143 on some shirts and shorts. The shirts cost \$15 each and the shorts cost \$17 each. What is the total number of shirts and shorts that Sarah bought? b) Bill sits for a test containing 20 questions. He gets 2 marks...
6. ### Ratios question

A 250-millilitre drink bottle of cordial is made by mixing 4 parts of cordial to 1 part of water. Jacob drinks 100 mL of the drink bottle consisting of the cordial and water mixture and thinks it is too strong. So he fills the bottle back up with 100 mL of pure water. How much cordial is in...

9. ### Financial maths into question

John bought a TV for \$3250. He paid a 10% deposit and made monthly repayments of \$96 for 3 years. What annual flat rate of interest was John charged?
10. ### Financial maths question please show all working

John bought a TV for \$3250. He paid a 10% deposit and made monthly repayments of \$96 for 3 years. What annual flat rate of interest was John charged?
11. ### Area of a region

Draw a sketch of the curve f (x) = 3 cos x and the curve g(x) = sin 2x in the domain 0 less than and equal to x less than and equal to pi. and then find the area of the region bounded by the curve f(x) = 3 cos x and the curve g (x) = sin 2x in the given domain.

A percussionist is experimenting with designs for a xylophone. It is to be symmterical in shape. The shortest woden bar is to be 10cm long and the consecutive bars will differ in length by b cm. The total length of all the wooden bars is S cm. Let the number of wooden bars be 2n+1. i)...

https://imgur.com/gallery/92UgS1c

https://imgur.com/gallery/onEODK5
15. ### Past trial hsc papers

Anyone willing to choose a question or as many as they want and write the solution so I can that my working out is correct. https://imgur.com/gallery/KbClGdu Thanks

1) there are two white and three black discs in a bag. two players A and B are playing a game in which they draw a disc from the bag and then replace it. player A must draw a white disc to win and player b must draw a black disx. player a goes first. find the probability that A) player b wins...