1. This question paper consists of three sections, Section A, Section B, and Section C, 2. Answer all questions in the space provided. 3. Write your answers and workings in blue or black pen only. 4. The diagrams in the question provided are not drawn to the scale unless stated. 5. You may use a non-programmable scientific calculator. 6. Total marks for this paper is 80. STUDENT’S NAME: ………………………………. CLASS: ……………… ASSESSMENT 1 2023 MATHEMATICS SENIOR 2 ONE HOUR THIRTHY MINUTES Instructions to candidate: DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO SEKOLAH SERI CAHAYA, SHAH ALAM Lot 5, Jalan Merah Saga, U9/5,40250 Shah Alam, Selangor Darul Ehsan. Malaysia. This question paper consists of 19 printed pages. For the examiner’s use SECTION QUESTION MARKS MARKS OBTAINED A 1-20 20 B 21 4 22 4 23 4 24 4 25 4 C 26 10 27 10 28 10 29 10 TOTAL
2 SECTION A [20 marks] 1. Which of the following sets of numbers is a sequence? A 3 , 6 , 9 ,15 B 0.4 ,0.8 ,1.2 ,1.6 C 5 , 7 ,11,13 D 0.3, 0.9 ,1.5 , 2.4 2 State the value of x and y in the following number sequence: 8, 27, x, 65, y,103, …… A x=46, y =84 B x=46, y=86 C x=12, y=27 D x= 11, y=27 3 Which of the following number sequences has the patterns divide the previous number by 2 ? A 64, 32, 16, 8, 4, 2 B 10, 8, 6,4, 2, 0 C 2,4,6,8,10,12 D 2,4,8,16,32,64 4 Calculate the sum of the 7th term and 14th term in the number sequence 3 ,1, -1,-3 …. A 32 B 30 C -24 D -32
3 5 Diagram 1 shows a Pascal’s Triangle. 1 1 1 1 2 1 1 x 3 1 1 4 6 4 1 Diagram 1 Find the value of x. A 3 B 2 C 1 D 0 6. Determine the 10th term in the following number sequence: 15, 21, 27…… A 57 B 63 C 66 D 69 7 Expand ( 2)( 3). x x + − A 2 6 x + B 2 x x − − 6 C 2 x x −6 D 2 x x + + 6
4 8 Expand 2 (2 3) . y + A 2 4 6 y + B 2 4 12 9 y y + + C 2 4 9 y + D 2 2 3 6 y y + + 9 Expand − − 8 ( 3) x y A − + 8 11 xy x B − − 8 11 xy x C − + 8 24 xy x D − − 8 24 xy x 10 Simplify 2 2 ( 5m − 3 ) − ( m + 3 ) A 4 15 2 − m − m + B 4 15 2 − m + m − C 7 6 2 − m + m + D 7 9 2 − m + m + 11 Express pq q p 12 7 3 3 1 − − as a single fraction in the simplest form. A pq q 12 − 7 B 2 12 7 pq q − C pq q 12 7( −1) D pq q 12 7( +1)
5 12 Simplify 2 2 4 4 4 8 8 w h w h w w h + − + A 8 ( w h ) w h+− B 2 ( w h ) w h +− C w w h 4− D w w h 2− 13 Simplify (10 )( 2 ) 10 r w r w w + − − A 2 2 10 19 2 10 r rw w w − − − B 10 2 10 r w rw + − C 2 9 3 10 r w rw + − D 9 11 r w − 14 Factorise 2 3 27 x − . A 2 3( 9) x + B 3( 3) x − C 3( 3) ( 3) x x − + D 2 9( 3) x −
6 15 Simplify 2 2 12 9 3 48 2 8 xy y n n − + A 8 ( 4) 9 n + B 9 8 ( 4) y x n − C 8 9 ( 4) x y n + D 8 9 ( 4) x y n − 16 Determine the 8th term of the following number sequence. 25, 8, 9 − A −82 B −88 C −92 D −94 17 Determine the value of x in the following number sequence. 12, , 26, 45,...... x − − A −7 B 6 C 9 D 12
7 18 Factorise 2 8 20 pqr p r − A pr q p ( 2 5 ) − B 2 ( 4 9 ) pr q p − C 4 ( 2 5 ) pr q p − D 4 ( 2 7 ) pr q p − 19 Factorise 12 6 − x A 3 2( − x) B 6 2 ( x − ) C 6 2( + x) D 6 2( − x) 20 Factorise 2 − − + 7 37 30 m m A (− + − 7 5 6 m m ) ( ) B (− + + 7 5 6 m m ) ( ) C (7 5 6 m m − + ) ( ) D (7 5 6 m m − − ) ( )
8 SECTION A (20 marks) Objective Answer Sheet. Shade your answer into space provided
9 SECTION B [20 marks] 21 (a) Determine whether each of the following is a number sequence or not. Circle the correct answer. [2 marks] Answer : (i) 0.8, 0.16, 0.032, 0.0064,……. Yes / No (ii) 1 2 , 0, 3 7 , 5, 3, …… Yes / No (b) In the answer space, complete the number sequence. [2 marks] Answer: 75, , 55, 45, , 25, ……. . 22 (a) Determine whether each of the following is a sequence. Tick (✓) if yes and (x ) for otherwise. [4 marks] Answer: (i) , , , , , (ii) D , E , F, D , E, E, D, E , F (iii) 8, 1, 8, 8 , 1, 8, 8, 8, 1 (iv) 9, 6, 6, 9, 6, 6, 9, 6, 6
10 23 (a) The diagram below shows numbered cards. Fill in the boxes in the answer space with suitable numbers from the diagram above to complete the number sequence. [2 marks] Answer: 8 800, 4 400, , , 550, 275, …….. (b) Match the number sequences with the correct patterns. [2 marks] Answer: Number Sequence Pattern (i) (ii) 1,8,27,64,… 5 , 1, 2,3, 4,.......... n n = 2 3, 1, 2,3, 4,..... n n + = 5, 10,15,29,20,… 3 n n, 1,2,3,4,... = 2 200 1 100 1 500 1 000
11 24 (a) Match the factorisation correctly. [3 marks] Answer: (b) Expand Circle correct answer . [1mark] p q (7 ) − p 7 -pq / 7p-pq 25 (a) Mark (✓) for the correct expansion and (x ) for the incorrect expansion. [4 marks] Answer: (i) (ii) 2 2 2 ( 2 ) 4 4 x y x xy y − = − + 2 2 2 (3 ) 9 m n m n + = + 2 4 8 gh h − 2 4 8 gh gh − 3 4 4 gh h − 4 (1 2 ) gh h − 2 4 ( ) h g h − 4 ( 2 ) h g h −
12 SECTION C [40 marks] 26 (a) State the patterns for the following sets of numbers. (i) 320, 80, 20, 5, …….. (ii) 1, 4, 16, 64, 256, …. (ii) -7, -14, -21, -28, …… [3 marks] Answer: (i) (ii) (ii)
13 (b) Diagram 3 shows the pattern for a number sequence. 1 1 3(0) 4 1 3(1) 7 1 3(2) 10 1 3(3) = + = + = + = + Diagram 3 (i) Form a generalisation about the pattern for the number sequence. (ii) State the 10th term , T10. (iii) Determine which term in the number sequence is 22. [4 marks] Answer: (i) (ii) (iii)
14 (c) Calculate the fifth term for the number sequences below. (i) -5, -2, 1, ……… (ii) 352, 176, 88, …… (iii) -2.5, -10.5, -18.5, …….. [3 marks] Answer: (i) (ii) (iii)
15 27 (a) Factorise each of the following. (i) 2 m m − + 10 24 (ii) 2 100 36 x − (iii) 35 − 15 [3 marks] Answer: (i) (ii) (iii) (b) Express 8 5 9(3 2 ) 12(3 2 ) m n m n m n − − − as a single fraction in its simplest form. [3 marks] Answer:
16 (c) Simplify each of the following. (i) (6 5) (2 3 ) 4 5 p p q p q + + − + (ii) (3 7 ) (2 5 ) 3 ( ) x y x y x y x + − − − [4 marks] Answer: (i) (ii)
17 28 (a) Expand (i) (6 ) (2 3 ) − + w w (ii) 2 (7 2) r − (iii) (4 3 ) (4 3 ) m n m n − + [3 marks] Answer (i) (ii) (iii) (b) Simplify the following algebraic expressions. 3 5 2 9 6 8 h h − − − [3 marks] Answer:
18 (c) A cube has sides of (2 ) . x y cm − Find the total surface area, in 2 cm, of the cube. [4 marks] Answer: 29 (a) Factorise each of the following (i) 2 8 8 13 13 x xy x y − + − (ii) 4 8 7 14 mp mp np nq + − − [4 marks] Answer: (i) (ii)
19 (b) Given the first term of a number sequence are x , 5 , 11, 27,...... − − (i) Calculate the value of x (ii) Determine the ninth term. [3 marks] Answer: (i) (ii) (c) Simplify 2 2 2 36 14 49 45 a b m mn ab [3marks] Answer: : END OF QUESTION PAPER Verified by _________________ Mr.Selvam Perumal Academic Supervisor Checked by ______________ Ms.Revathee Subject Teacher Received by _________ Exam Unit Prepared by ______________________ Ms Puspa Devi Subject Teacher