F.1 Chinese New Year Revision Exercises Make sure you have written down the steps clearly. Complete and submit in 1 pdf. 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!)