UNIT CSEC Multiple Choice Items Sample Paper 01

Transcription

1 This paper consists of 60 Multiple Choice items from the Core Syllabus according to the following allocation: Section No. of items Computation 6 Number Theory Consumer Arithmetic 8 Sets Measurement 8 Statistics 6 Algebra 9 Relations, Functions and Graphs 6 Geometry and Trigonometry 9 60 Each item is allocated ONE mark. The time allowed for this paper is hour 0 minutes. No calculator is allowed for this paper. CIMT and e-learning Jamaica

2 Each item is allocated ONE mark The time allowed for this paper is hour 0 minutes. No calculator is allowed for this paper For each of these items, choose the option (A, B, C or D) that is TRUE.. The number 77 written to significant figures is in scientific notation is. The decimal equivalent of 7 8 is = In a school of 90 pupils, are boys and 7 5 of the boys wear glasses. How many boys wear glasses? $x is divided among three boys, Ryan, Keith and Andrew, in the ratio : : 7, respectively. If Andrew gets $5 more than Keith, what is the value of x? $7 $5 $57 $80 7. Which of the following sets has an infinite number of members? {factors of 0} {multiples of 0} {odd numbers between 0 and 0} {prime numbers less than 0} 8. Which of the following is a prime number? 5 9 CIMT and e-learning Jamaica

3 9. If x =, then x = Three lights flash at intervals of, 6 and 0 seconds respectively. They are started together. How soon after will they next flash together again? 0 secs 60 secs 0 secs 0 secs. After a 0% discount, an article is sold for $60. The price before the discount was $ 6 $ $ 9 $ 00. A store charges 6% VAT on all sales. What is the total cost of a shirt marked at $0? $8.0 $.80 $.8 $6.00. A shopkeeper buys 8 radios for a wholesale price of $700. At what price per radio must he sell to make a profit of 5% on his cost? $8.00 $7.50 $.550 $ The interest rate on investments in a bank decreased from 8 per cent per annum to 6 per cent per annum. The difference in annual interest on a deposit of $ 000 is $ 0 $ 50 $0 $70 5. The marked price of a stove was $50. A worker bought the stove on hire-purchase by making a down payment of $00, and twelve monthly payments of $0 each. How much could she have saved if she had bought the stove for the marked price? $ 0 $ 60 $00 $0 6. How much simple interest is due on a loan of $0 for two years if the annual rate of interest is 5 per cent? $.00 $.0 $6.0 $ The water authority charges $0.00 per month for the meter rent, $.50 for the first 000 litres and $0.0 for each additional 00 litres. What is the total bill for 500 litres used in one month? $.00 $.70 $.00 $.90 CIMT and e-learning Jamaica

4 8. If US$.00 is equivalent to EC$.68, how much in US$ would one get for EC$00? $ 6.80 $ 7. $68.00 $ If U = {,,,... 0 } and S = {, 5, 6, 7, 8 }, then S ' = { 90, } {,, } { 9,,, }. X In the figure above, the shaded portion represents ( X Z ) Y ( X Y ) Z ( X Y ) Z ( Y Z ) X Z Y U { 90,,,, }. How many grams are in kilograms? 0. P Q U 0 g 00 g 000 g g. In the Venn diagram above, the shaded portion represents P Q P Q' P' Q P Q P The shaded area in the Venn diagram above represents P Q ( ) ' ( Q R) ' R ( P Q) R ( ) Q P R ' Q. A rectangular tank is 00 cm long, 0 cm wide and cm deep. The volume of liquid it will hold is.6 litres 6 litres 60 litres 600 litres 5. D cm A The area of the trapezium ABCD above is 8 cm 0 cm 6 cm 0 cm cm 5 cm C B CIMT and e-learning Jamaica

5 6. Which of the following words BEST describes a quadrilateral with all its sides equal? Rhombus Rectangle Parallelogram Trapezium 7. A square has the same area as a rectangle with sides of length 9 centimetres and 6 centimetres. What is the length of the square? 9 cm cm.5 cm 7 cm 9. A circular hole with diameter 6 cm is cut out of a circular piece of card with a diameter of cm. The area of the remaining card, in cm, is 6π 7π 6π 08π 0. The width of a block of wood with rectangular cross-section is x cm. Its height is its width and its length is times its height. What is its volume in cm? 8x 9 8. B 6x 9 5 A 8x In the circle above, the circumference is 0 cm. The length of the arc AB, in centimetres, is x M E 8 0 G x x F The pie chart above shows how a student used 0 hours per week for studying English (E), Mathematics (M), French (F) and Geography (G), The amount of hours spent studying French is approximately CIMT and e-learning Jamaica

6 Items and refer to the information below The following scores were obtained by eleven footballers in a goal-shoot competition: The modal score was In a box, there are white, red and blue marbles. What is the probability that a marble taken at random is NOT blue? The median score was 6 8. The mean of ten numbers is 58. If one of the numbers is 0, what is the mean of the other nine? The table shows the distribution of the ages of 5 students. Age 5 6 No. of students 6 5 What is the probability that a student chosen at random is AT LEAST years old? If x = and y =, then x 5 y xy 8. 7 ( ) = If p * q = pq, then * = = CIMT and e-learning Jamaica 5

7 0. x + x + = (D 5x + 5x + 7x + 7x + ( )( + ) =. The expression x x x x x x + x + x x + x + 5. The range of values of v when 5 v v is v <. If x is an odd number, which of the following is also odd? x + x + x + 6. v v > v x + Q P ( ) =. 8x x 5 x + 0 x 0 x + 5 x 0x. 5 x x 6 ( ) ( ) = x x R In the figure above, for which point is the x-coordinate positive and the y-coordinate negative? P Q R S S 5x 8 8 x CIMT and e-learning Jamaica 6

8 7. 8. y x x y = 5x + y = 0 The diagram above shows the graphs of x y = and 5x + y = 0. Which ordered pair (x, y) satisfies both equations? (, 0) (0, ) (, 5) (5, ) y 9. The equation of the line which passes through the point (0, ) and has a gradient of is y = x y = x + y = x y = x + ( ) 50. If f : x x +, then f is Which of the relations represented below are functions? I. a b c II. a b c 0 x III. a b c Which of the following relations is represented by the graph shown above? y + x = 0 y x + = 0 y + x = 0 y x + = 0 I and II only I and III only II and III only I, II and III CIMT and e-learning Jamaica 7

9 5. The sizes of the interior angles of a polygon are x, x, 60, x and 6. What is the value of x? The exterior angles and the interior angles of a polygon are equal. How many sides does the polygon have? N B C A In the diagram, B is due north of A; C is east of B, and AB = BC. What is the bearing of A from C? D A 56. A C E 80o P C In the rectangle above, if AEB = 80, then DAC = B B In the figure above, AB CD and BAD =. APC = D CIMT and e-learning Jamaica 8

10 57. This question refers to the triangle PQR in which angle QPR = 90, PR = cm and PQ = 5 cm. P 59. How many lines of symmetry does this shape have? cm 5 cm Q R 58. The length of QR, in cm, is 7 7 A 0 The triangle ABC above shows the angle of elevation of the top, B, of a tower, BC, from A, to be 0. AB = 0 m. The length of BC is 0 tan 0 0sin 60 0 tan 60 0sin 0 B C When rotated through 90 about the origin in a clockwise direction, the image of the point (, ) is (, ) (, ) (, ) (, ) CIMT and e-learning Jamaica 9

11 Answer Grid Question number Answer SIM Reference SIM Reference Unit Section B D D A 5 B 6 B 5 7 B 6 8 A 6 9 D 6 0 B 6 D 9 B 9 B 9 B 9 5 B 9 6 B 9 7 C 9 8 B 9 9 D 0 0 D 0 D 0 B 0 C B 5 A 6 A 7 B 8 B 9 B 0 B CIMT and e-learning Jamaica

12 Answer Grid Question number Answer SIM Reference SIM Reference Unit Section D 6 A 7 B 7 B 7 5 D 9 6 C 9 7 D 8 B 9 C 5 0 B 5 B A B C 5 D 6 6 D 7 7 C 7 8 D 8 9 D 8 50 A 0 5 B 0 5 D 5 B 5 5 B 55 D 56 B 57 C 58 D 59 C 60 C 6 CIMT and e-learning Jamaica