F.1 Chinese New Year Revision Exercises
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Chapter 1
1.
Calculate 200  {400  [(24 + 16)  5]}. [Ans: 4]
2.
Express 5292 as a product of prime number [Ans: not given]
3.
Find the H.C.F. and L.C.F. of 30, 40, 45 and express your answer in index
notation. [H.C.F. = 5, L.C.M. = 23 × 32 × 5]
Chapter 2
4.
Calculate −[(+53.7) + (−35.5)] + [−43.8 − (−46.2)]. [Ans: -15.8]
5.
 2
Calculate (−240)   +   (−12) . [Ans: 70]
 7
6.
In a bookstore, the price of a pen is $7.8 and the price of a notebook is $20.5.
Kenny buys 8 pens and a notebook by his Octopus card. If the balance of his
Octopus card after the payment is −$10.3, find the original balance of his card.
[Ans: $72.6]
Chapter 3
5 y + w 3 y − 2w
. [Ans:
−
14
4
−11𝑦+16𝑤
7.
Simplify
8.
Johnny bought some stamps from the post office. The value of each stamp is
either $1.4 or $3. Suppose Johnny bought x $1.4 stamps and y $3 stamps. Let $T
be the total value of the stamps that Johnny bought.
(a) Write down the formula for T.
28
]
(b) Johnny bought 12 $1.4 stamps. The number of $3 stamps that he bought is 4
more than 2 times the number of $1.4 stamps bought. Find the total value of
the stamps that Johnny bought.
(Remember the last question in your mid-year exam!)
[Ans: T=1.4x+3y ; $100.8]
F.1 Chinese New Year Revision Exercises
9.
Suppose that Tn =
3
(n − 7) is the general term of a sequence.
4
(a) Find the 23th and the 24th terms of the sequence.
(b) Is 37 a term of the sequence? Explain your answer.
(Remember the answer format in the mid-year exam!)
51
[Ans: 12, 4 ; No]
Chapter 4
10. Solve the equation 2 p +
11. Solve the equation
p−4
32
= − [Ans:
3
9
20
]
21
3k + 7 5 − 2k 5k + 3
+
=
.[Ans −15]
2
5
6
12. There are 30 true-or-false questions in a test. 3 marks will be given for each
correct answer while 2 marks will be deducted for each wrong answer. If John
answers all the questions and gets 25 marks, find the number of correct answers
that he gets.
[Set up an equation please.]
[Ans: 17]
Chapter 9
13. Last year, Ken weighed 80 kg. This year, he joined a fitness program. The
percentage change in his weight was –15% this year.
(a) Find Ken’s weight this year.
(b) Find the change in Ken’s weight.
[Ans: 68kg ; -12 kg]
14. The cost of a wedding dress is $1500. If a shop wants to make a profit of 50%
after giving a discount of 10%, what should be the marked price?
[Ans: $2500]
F.1 Chinese New Year Revision Exercises
15. The cost of a headphone was $80. A merchant set the marked price to be 30%
higher than the cost and sold the headphone at 25% off.
(a) Find the percentage profit or percentage loss.
(b) After the discount, if the customer paid a service charge of $6, could the
merchant make a profit greater than 5%? Explain your answer.
[Ans: %Loss = 2.5% ; No]
Chapter 11
Please draw the diagram in your paper!
16. In the figure, AC // EG. ABC and EFG are
straight lines. Find x.
[Ans: 260]
(Hint: draw a line)
17. In the figure, BA // FD. ACE, BCD and DEF are
straight lines. Find BCE.
[Ans: 75°]
18. In the figure, BCD is a straight line.
(a) Find x and y.
(b) Prove that AB // CF // DE.
[Ans: 𝑥 = 36°, 𝑦 = 53°]
(I will mark it! Do it seriously!)