Tutor MathsGuru: Ask me for your burning Maths questions!

[YLH88]

Hi all,


Need help with the following questions :

1) Rulang P6 SA1 2009 Paper 2 Qn 4
Simon and Pete cycled round a 9.6-km circular track at a uniform speed.
They started off from the same point X but in opposite directions.
They cycled past each other every 10 minutes.
If Simon took 24 minutes to complete a round, what was Pete's speed ?
(ans : 33.6 km/h)

http://www.postimage.org/image.php?v=gx9YBq9

2) Rulang P6 SA1 2009 Paper 2 Qn 12
A cleaner had to wash all the cars parked at a multi-storey car park by the end of the day.
In the morning, the number of cars he washed was 2/5 of the number of cars that was not washed yet.
In the afternoon, he washed another 26 cars.
As a result, the total number of cars washed became 4 fewer than 9/14 of the total number of cars at the car park.
What was the total number of cars parked at the multi-storey car park ?
(ans : 84)

3) PeiHwa P6 SA1 2009 Paper 2 Qn 17
Gibson had 50-dollar, 20-dollar and 10-dollar tickets for a school funfair in the ratio 1 : 5 : 4
The total value of the funfair tickets was $3420.
a) Find the number of each type of tickets he had ?
b) After selling 1/4 of the 10-dollar tickets and a few 20-dollar tickets, he found that 2/11 of the remaining tickets were 50-dollar tickets.
How many 20-dollar tickets did he sell ?
(ans : a = 18 50-dollar, 90 20-dollar, 72 10-dollar
b = 17)

Thank you so much!

[corneyAmber]

Almighty:

4th problem

The figure shows a solid made of 3 layers of cubes. William wants to add 2 more square layers to the lowest layer of the solid shown.
a) How many cubes must he add on?
b) If he paints all the exposed surfaces of all the cubes in the first 3 top layers, how many surfaces must he paint?


http://www.postimage.org/image.php?v=gx9I2Nr

(a) 25*2 = 50 cubes

(b) Layer 1 = 5 surfaces
Layer 2 = (4*2) + (4*3) = 8+12 = 20
Layer 3 = (3*4*2) + (4*3) = 24 + 12 = 36
Total = 61 surfaces

[corneyAmber]

Almighty:

Question:9: pattern

http://www.postimage.org/

Almighty, I realise I cannot see many of your small pictures....

[corneyAmber]

Almighty:

Hi , Second problem- please help:

http://www.postimage.org/image.php?v=TsIm00
If Lucy give $8 to Ali, he will have 5 times as much money as Lucy. If Ali gives $12 to Lucy, She will have 1/3 of the amount Ali has. How much does Ali have at first? ANs:192/- I am unable to understand the model concept used by the answer key. Kindly explain in detail.

Hi Almightly,

I have done my own model diagram and explain it my way. The idea is pretty much the same. The \"If\" statements are important in this question so you need to take note.

http://i724.photobucket.com/albums/ww246/ks2me/P6MathAliLucymoney.jpg\">

[corneyAmber]

question 8:

During a sale, the price of a skirt was reduced from $256.80 to $214 inclusive of GST of 7%. What was the decrease in price of the skirt, excluding GST? Ans:40.

Skirt before GST before discount = 256.800.93= 238.82
Skirt before GST after discount = 2140.93 = 199.02

Decrease in skirt before GST = $39.80 (Ans in 2 significant figure, then $40)

In one step will be, discount excluding GST = (256.8-214)*0.93 = $39.80

[Almighty]

Thankyou …thankyou …thankyou very much KSi. Sorry 4 the error in posting some of the picture,Edited them after seeing yr msg.Sorry others too for hving wasted yr time…

[Dharma]

Almighty:

3rd question please Help:

http://www.postimage.org/image.php?v=PqwW4ji

http://www.postimage.org/image.php?v=gxbz7wS

[Dharma]

Almighty:

Question:9: pattern -EDited




http://www.postimage.org/image.php?v=aVi9di9

The missing number is 8.
Sum of each row is 18

[Dharma]

Almighty:

Question no :7 : Area -EDITED


Please bear with my isoceles triangle drawing in figure 2.Assume them to be isoceles triangle .
Ten Equal isoceles triangles were cut out from a rectangular piece of paper, 30 cm long. The difference in the perimeters of figure 1 and 2 is 40 cm.Find the perimeter of each isosceles triangular piece of paper which had been cut out.
Ans :16cm
http://www.postimage.org/image.php?v=PqxS6mi

You cut 10 equal isosceles triangles from Fig ; (ie. 5 of the triangles on each side of the length of the reactangle.

Let the inclined sides of the isosceles triangle be 1 unit and the base of the triangle be 1 part

5(2 units) – 30cm = 40cm/2
10 unitrs = 50cm
1 unit = 5 cm

5parts = 30cm
1 part = 6cm

Perimeter of 1 isoceles triangle = 2unit + 1 part = 2(5cm) + 6cm = 16cm

[Maths Monster]

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