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

Transcription

1 Algebra and Fraction Revision Section A: For each question, four options are given. (10 marks) (1) Multiply 30 by w. Subtract 11 from the result gives (A) 11w 30 (B) w 330 (C) 11-30w (D) 30w 11 ( ) (2) Which of the following fractions is nearest to 1 whole? (A) 1 3 (B) 2 (C) (D) 7 6 ( ) (3) Which of the following is equal to 6 7 (A) (B) (C) (D) ( ) (4) Which of the following is not equal to b + 6b + b? (A) 2 x 6b (B) 13b b (C) 13 + b (D) 12 x b ( ) () May May bought 6w packets of stickers. Each packet contained 10 stickers. After giving away 1 packet of stickers, how many stickers did she have left? (A) 60w (B) 6w 10 (C) 60w 10 (D) 4w ( ) (6) 2kg of prawns cost $8y and 2kg of beef cost $24 more than 1 kg of prawn. Find the cost of 2kg of beef. (A) $(4y + 24) (B) $(8y + 24) (C) $(4y + 12) (D) $(8y+12) ( ) 1 P a g e

2 (7) How many fifth are there in 6 1 (A) 2 (B) 9 (C) 3 (D) 6 ( ) (8) Janet and Sharon collect stamps. 3 of Janet s stamp is equal to 2 of Sharon s stamps. If Janet has 30 stamps, how many stamps do they have altogether? (A) 4 (B) 7 (C) 3 (D) 10 ( ) (9) Danish bought some packets of chocolate at $2 per packet. He gave the casher $y and received $ in change. Find the number of packets of chocolate Danish bought in terms of y. (A) (y ) 2 (B) (y + ) 2 (C) 2y + (D) 2y - ( ) (10) Simplify the following algebraic expression a + 3 a (A) a (B) 19 11a (C) 13-19a (D) 13-11a ( ) 2 P a g e

3 Section B Questions 11 to 1 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. (1 marks) (11) Tammy is 19 cm tall. Her friend, Gabriel is 3z cm shorter than her. Express Gabriel s height in terms of z. cm (12) A ribbon which measures 3 m long is cut into equal smaller pieces. Each smaller piece of rope is 1 2 m long. How many pieces are there? (13) Andy had $29z. His grandfather gave him $z. He bought a book for $17 and a lollipop for $2z. How much money had he left? Express your answer in terms of z. $ (14) Five children shared 3 whole cakes equally. What fraction of the cake did 2 of them get? Express your answer as a mixed number in the simplest form. (1) What is the value of ? Give your answer in the simplest form. 3 P a g e

4 (16) The table shows the number of paint used by a painter in a week. Day Monday to Friday Saturday and Sunday Number of paint used z per day (3z + 17) per day. What was the total number of paint used in 4 weeks? Express your answer in terms of z. (17) Terrence spent 1 9 of his salary on transport and gave 1 4 of the remaining salary to his mother. He saved the rest of his salary. What fraction of his salary did he save? (Give your answer in its simplest form). (18) Kristie had 70 cupcakes. She gave p cupcakes to her brother. Then she gave the rest to her five friends and they shared it equally among themselves. How many cupcakes did each friend get? Leave your answer in terms of p. (19) Mathew bought 7w pen. He used 3 pen and gave 2w pen to his mother. He then gave one quarter of the remaining pencils to his sister. How many pen had he left? (20) There were 40 children at a concert. 1 2 of the number of boys at the concert was equal to 2 the number of girls at the concert. How many boys attended the concert? 4 P a g e

5 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. (30 marks) (21) Janet had $ $474 and Tim had $99. After both of them spent and equal amount of money, Janet had 3 8 as much as Tim. How much did Tim spent? (3m) (22) The average height of 2 boys and 3 girls is 23y cm. The height of one of the boy is 1cm. The height of one of the girl is 140cm. Find the average height of the other three children. (3m) (23) The average of five numbers is 39. Four of the numbers are a, 4, a-12 and a. (a) Find the fifth number in terms of a. (2m) (b) If a = 1, find the largest number. (1m) P a g e

6 (24) Timmy is years older than his brother. 9 years ago, Timmy was z years old. (a) How old is her brother now? Express his brother s age in terms of z.(1m) (b) What will their total age in years time? (2m) (2) Jamie had 72 more blue ribbons than red ribbons. She gave away some of her ribbons. The number of blue ribbons she gave away was 3 4 the number of red ribbons she had at first. The number of red ribbons she gave away was 1 2 the number of blue ribbons she had at first. In the end, she had an equal number of each type of ribbons. How many blue ribbons did she have at first? (4m) 6 P a g e

7 (26) Fran and Cheryl shared some sweets. Fran s share was 180 less than Cheryl s share. After Cheryl gave 1 9 of her share to Fran, Fran had 40 sweets more than Cheryl. How many sweets did Fran have at first? (4m) (27) Bakery A has 420 cakes. It has h fewer cakes than Bakery B. Bakery C has 1 1 times as many cakes as Bakery A. Bakery A has 160 cakes left after an equal number of cakes are transferred to Bakery B and C. How many more cakes are there in Bakery C than B now? (4m) 7 P a g e

8 (28) Tina bough 3 pairs of socks at $x each, 4 T-shirts at $9z each and a pair of pants. The pants cost as twice much as the total cost of two pairs of socks and a T-shirt. If she received $29 change from the cashier, how much money did she give to the cashier? (Express your answer in terms of x and z). (4m) (29) 4 trees of different height were found in a park. The height of tree A is 1 8 of the total height of tree B, C and D. The height of tree B is 2 3 of the total height of tree C and D. The height of tree C is 1 the height of tree D. The total height of tree C and D is 12 3 m longer than the total height of tree A and B. What is the difference in height of the tallest and the shortest trees? (Give your answer in metres and centimetres. (m) 8 P a g e

9 (30) The number of kites Pete had was 1 7 the number of toy boats. After he donated 1 2 of his toy boats and 1 3 of his kite to the orphanage, he had 493 more toy boats than kite. (a) How many kites did Pete have in the end? (3m) (b) How many kites and toy boats did Pete have at first? (2m) 9 P a g e

10 Answer Section A (1) D (2) D (3) A (4) C () C (6) A (7) A (8) B (9) A (10) A Section B (11) 19 3z (12) 1 (13)$( 32z 17) (14) 1 1 (1) (16) 124z+ 136 (17) 2 3 (18) 14-p (19) (1w 9) 4 (20) 240 Section C (21) $183 (22) ( (11y 29) 3 ) cm (23) (a) 162-7a (23b) 7 (24a)( z + 4) years old (24b)( 2z+23) years old (2) 04 (26) 810 sweets (27) (84 h) cakes (28) $(7x + 4z + 29) (29) 67m 20cm (30a) 116 kites (30b) P a g e