Section A: For each question, four options are given. (10 marks)

Transcription

1 Algebra Section A: For each question, four options are given. (10 marks) (1) May has q boxes. She puts 5 chocolates into each of the boxes. Then she has 3 chocolates left. Which of the following is the correct expression for the original number of chocolate May had (A) (q +3 x 5) (B) (q x 5 +3) (C) (q x 5 3) (D)(q 5 x 3) ( ) (2) Simplify 7y + 4 y + 3 (A) 8y + 7 (B) 6y +7 (C) 6y -1 (D) 8y +1 ( ) (3) Mary and Jane shared $w. Mary received thrice as much as Jane. How much did Mary receive? Express your answer in terms of w. (A) $ (B) $ (C) $ (D) $ ( ) (4) Simplify 6k k k +2 (A) 10K 1 (B) 10K +1 (C) 11K +5 (D) 11K 5 ( ) 1 P a g e

2 (5) Simplify the following algebraic expression. 3a x 2-8a (A) a (B) a (C) 30-5a (D) 21-5a ( ) (6) Find the value of 9w 6 2w + 16, given that w = 4 (A) 6 (B) 38 (C) 50 (D) 68 ( ) (7) Simplify 8-5b -3-2b (A) 5 + 3b (B) 5-3b (C) 5 7b (D) 5 + 7b ( ) (8) A pencil cost w cents and an eraser cost 30 cents more. Darwin wants to buy 3 pencils and 2 erasers but he is short of 20 cents. How much money does Darwin have? (A) (3w +40) (B) (3w + 80) (C) (5w +40) (D)(5w +80) ( ) 2 P a g e

3 (9) Oranges are sold at 3 for $0.75 at Giant Supermarket. Mrs. Lim bought r oranges and gave the cashier $20. How much change did she get? Express your answer in terms of r. (A) $75r (B) $(20-25r) (C) $(20-75r) (D) $( r) ( ) (10) The average of 3 numbers is 7r. The 1 st number is 3r. The 2 nd number is 5. Find the 3 rd number in terms of r. (A) 4r -5 (B) 21r + 5 (C) 18r -5 (D) 18r + 5 ( ) Section B Questions 11 to 15 carry 1 mark each. Questions carry 2 marks each. Show your workings clearly in the space provided for each question and write your answers in the space provided. For questions which require units, give your answers in the units stated. (15 marks) (11) The table below shows the number of egg tarts sold at KFC last weekend. Day Number of Egg Tarts sold Saturday 7n -5 Sunday 5n + 3 What was the total number of egg tarts sold last weekend? Express your answer in terms on n and in its simplest term Ans: 3 P a g e

4 (12) Janet spent m weeks preparing for her Common Assessment. She spent 11 more days than Peter. How many days did Peter spend preparing for his Common Assessment? Ans: (13) Mr. Unbelievable buy some rulers at $4m per dozen. He sells them at $ m each. Find his total profit if he sells 36 rulers. Ans: (14) Tony is m years old. Mary is thrice as old as Tony. Roy is 7 years younger than Mary. Express Roy s age in terms of m Ans: (15) Given that y=9, what is the value of the following algebraic expression? 7y + 8 4y 2 (16) Mrs. Tan had $a. She gave $18 to her daughter and divided the remainder among herself and her two sons. How much did each of her sons get? Ans: 4 P a g e

5 (17) Xiao Ming paid $6.90 for 6 rulers and some pens. Each pen costs y cents and each ruler costs $0.50 less. If y = 90, how many pens did he buy? Ans: (18) The breadth of a rectangle is 3a cm. Its length is 6 times its breadth. Find the perimeter of the rectangle in terms of a. (19) Simplify 9 + 6b +7-8b 2 4 x 4 Ans: (20) Amy spent 9x cents on a pen. How much money had she left if she has $6 at first? Leave your answer in dollars. 5 P a g e

6 Section C Show your working clearly in the space provided for each question and write the answer in the space provided. The number of marks available is shown in the brackets ( ) at the end of each questions or part questions. (33 marks) (21) Dan is thrice as heavy as Jim. Benjamin is twice as heavy as Dan. Benjamin is (70- w) kg heavier than Dan. What is Jim s mass in terms of w? (3m) (22) Carol had only $9 and she needed to by 105 sweets. Her father gave her another $y. The sweets are sold in packets of 5 for $y. How much more money does she need to pay for the 105 sweets? (3m) (23) 5 compass and 8 books cost $48. If 1 compass and 1 book cost $3u, find the cost of 13 books. (3m) 6 P a g e

7 (24) Mary Jane is 12b years old. She is 5 years younger than Ali and thrice as old as Meng. What is their total age in 4 years? Leave your answer in terms of b. (3m) (25) A computer mouse cost $n. A pen cost as much as the mouse. Peter bought 6 computer mouse and 15 pens. How much did Peter pay altogether? (3m) (26) Three years ago, Rahman was r years old. His brother was thrice his age then. a. What was their total age three years ago? (1m) b. What was their total age now? (1m) c. What will their total age three years from now? (1m) Express your answers in terms of r. 7 P a g e

8 (27) Mrs. Lau and Mrs. Yap went shopping together. Mrs. Lau has $21h more than Mrs. Yap. After Mrs. Lau spent $85h and Mrs. Yap had 5 times as much money as Mrs. Lau. a. Express the amount of money Mrs. Lau had at first in terms of h. (2m) b. If h = 8, find the amount of money that Mrs. Lau had left. (1m) (28) ABC Laundry charged the following rates for its laundry service. First 5 shirt Every additional shirt $y each $3 each a. How much would it cost Jane to wash 17 shirts? (2m) b. How much change would Jane get if she gives the cashier 2 fifty dollars notes? (2m) 8 P a g e

9 (29) Mr. Kuar divided $b equally between his 2 children, Amy and Ben. a. Amy spent $236 and saved the rest. Find the amount of money Amy saved in terms of $b(2m) b. If b = $568, find the amount of money Amy saved. (2m) (30) Bernice is 7a years old. She is 6 years older than her sister but 29 years younger than her mother. a. How old will her sister be in 4 years time? Express your answer in terms of a. (2m) b. If a = 3, what is the total age of Bernice and her mother in 4 years time? (2m) 9 P a g e

10 Answer Section A (1) B (2) B (3) A (4) A (5) D (6) B (7) C (8) C (9) D (10) C Section B (11) (12n-2) egg tarts (12) (7m - 11) days (13) $(6m) (14) (3m-7) years old a 18 (15) 53 (16) $ 3 (17) 5 pens (18) (42a ) cm 9x (19) 2b (20) $ Section C (21) 70 w kg (22) $(20y 9) (23) $ (208-65u) 3 (24) (28b + 17 ) years old (25) $ (15n) (26) (a) (4r) years old (26b) (4r + 6) years old (26c) (4r + 12) years old (27a) $101h (27b) $128 (28a) $(5y+36) b (29a)$ (28b) $ (64-5y) (29b) $48 (30a) (7a -2) years old (30b) 79 years old 10 P a g e