Sunday, October 17, 2010

Maths Practice Paper

Done on: 8th Oct 2010
Distributed Back: 18th Oct 2010

Section A
  1. (3)
  2. (2)
  3. (4)
  4. (1)
  5. (2)
  6. (3)
  7. (3) [Draw out the times, the answer will be clear]
  8. (1) [Find angle PSV = 90- 37. Since TSVU is a square, angle a = 90 - angle PSV = 37]
  9. (3)
  10. (1)
  11. (2) [Finding smallest possible sum of the 2 numbers means the lowest possible number for rounding up. For 800, it will be 750; and for 400, it will be 350. Thus, the sum will be 1100. ]
  12. (1) [Convert all the fractions in the question to decimals first.]
  13. (2)
  14. (4)
  15. (2)
Section B

16) A= 8345, B = 8210
17) 73, 800
18) 86 Mangoes
19) 11/42 [ 1 - 4/7 - 1/6 = 42/42 - 24/42 - 7/42]
20) 1/2
21a) QR/QZ
21b) SR
22) Restaurant
23) 0.545, 0.54, 0.455, 0.045
24) 1.46
25) 48
26) 80 marks
27) 150 pupils
28) DE = 2.25, EF = 3.5
29) 1|1/4 or 1.25 [3/4 + 0.5 = 0.75 +0.5]
30) $33.00 [Draw models]
31) 18 days [For such questions, it is always round up. If you round down, it means they did not save enough]
32a) 12 July
32b) 8.45pm / 20 45
33) 92cm^2 [total length is 23 cm, note overlapped part]
34) 925cm^2

Section C

35a) Money at first = (27 x 8) + 9
= $225.00
35b) Boxes at sales = $225 / 6
~ 37
More boxes = 37 - 27
= 10

36) Duck Eggs on Friday = 166 - 78
= 88
Total eggs on Fri = 166 + 88
= 254
Eggs sold on Sat = 254/2
= 127
Total eggs sold = 254 + 127
= 381

37) Each set, 1 cup + 1 plate = $7 + ($7-3)
= $11
Total sets bought = $264/ $11
= 24
Amount more = $24 x $3
= $72

38) Daisies = 1/5 x 240
= 48
Daisies removed = 1/3 x 48
= 16
Tulips = 3/8 x 240
= 90
Tulips removed = 5/6 x 90
= 75
Flowers left = 240 - 16 - 75
= 149

39) Draw Model, base unite 10. Yellow will take 4 units, purple will take 5, leaving only 1 unit for purple.
After drawing model, you will realise that
4 units -> 60
10 units -> 150

40) Total spent on crayons = $ $5.35 x 2
= $10. 70
Total spent on drawing books = $1.70 x 5
= $8.50
Amount Saved = ($10.70 + $8.50) - $16.99
= $2.21

41a) 19 05 - 13 35 = 5h 30mins
b) 21 00 - 19 05 = 1hr 55mins

42) List down all the factors for 54 & 102. Since it was given that W is a square, we must identify the common factor as the breadth of W = 6.
From this, we conclude that
Length of V = 102/6
= 17 cm
Breadth of V = 54/6
= 9 cm
Difference in Area = Area of V - Area of W
= (17 x 9 ) - ( 6 x 6 )
= 117 cm^2

Remarks:
  • Many of you could not finish the paper within the 1hr 45 mins. Although the timing was not followed strictly, it is still crucial to manage your time properly.
  • Do not be careless, read the question carefully and be sure to know what they are asking for. Highlight if need be.
  • If you are unsure where to start, list down the information given as working.
  • Ascending is from smallest to biggest, descending is from biggest to smallest.

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