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1.(a)Expand (a+2b)^2
(b)Hence expand (a+2b+4c)^2
(answer= a^2+4b^2+16c^2+4ab+8ac+16bc )
2.If (x+1)^2+P(x+1)≡x^2+Q,find the value of P and Q
(P=-2 Q=-1)
3.Simplify ("──"represent fraction )
1 - 2x
───────
x - 1
───
x
(Answer: x^2+1
────
x^2-1
4.On a particular day ,the high tide was 1.8m above and the low tide was 1.6m
below a mark on a coastal wall .Both measurements are correct to 2 signifisant
figures.Find the lower limit for the difference of heights between the high and the low
tides
(answer=3.3)
5.The CTU(Central Processing Unit )of Jerry ' s computer can complete 4 x 10^9
calculations each second.
(a) How long does it take to complete 1 calculation?
(answer=2.5x10^-10)
6.Simon wants to sketch the picture of a ship with an actual length of 290 m and
actual width of 190m .He is using a piece of drawing paper size 17cm x 25cm.
What is the maximum posssible scale of the drawing?
(answer=1:11600)
7.Terry bought 2 model car that have a scale of 1:35.It was found that the difference
on length of the models is 3 cm . If the actual length of the smaller car is 2.5m, what is the actual length of the large car.
(answer=3.55 m)
8.A car finish a job in 6 days alon while B can finish the same job in 12 days aloe.
If A and B work together ,how many days do they need to finish the job?
(answer=4 days)
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