MOTITHANG HIGHER SECONDARY SCHOOL THIMPHU THROMDE Every child is inspired to learn and empowered with wisdom to excel in life MIDTERM EXAMINATION-2018

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MOTITHANG HIGHER SECONDARY SCHOOL THIMPHU THROMDE Every child is inspired to learn and empowered with wisdom to excel in life MIDTERM EXAMINATION-2018 Mathematics Reading Time: 15 mins Class: IX

In this paper there are three sections : Section A, Section B, Section C. You must answer all the questions in Section A and Section B. Under Section C, there are 8 questions.

1 MOTITHANG HIGHER SECONDARY SCHOOL THIMPHU THROMDE Every child is inspired to learn and empowered with wisdom to excel in life MIDTERM EXAMINATION-2018 Mathematics Reading Time: 15 mins Class: IX Writing Time: 3 hours Day & Date: Monday 25 th June 2018 Full marks: 100 Name: Roll No. Sec:.. READ THE FOLLOWING INSTRUCTIONS CAREFULLY. In this paper there are three sections : Section A, Section B, Section C. You must answer all the questions in Section A and Section B. Under Section C, there are 8 questions. Each question has two parts, I and II. Attempt either Part I or Part II from each question. The intended marks for a question or its parts are stated in the brackets. SECTION A (Compulsory) (2 10= 20) Instruction: Read the following instructions carefully, for each question there are four alternatives a, b, c and d. Choose the correct alternative and write it in your answer sheet. QUESTION I I. Solve: 4 x + 3 = 11 a) 4 b) 2 c) 4 d) 7 II. Divide: ( 2y 2 3xy) y a) 2y 3x b) y + 3x c) 2 3x d) 3y 3xy III. Evaluate: 8r 3rs where r = 2 and s = 3. a) 6 b) 6 c) 2 d) 2 IV. Add: (3x 3 + 2x 2 4 ) + ( 5x 2 8x ) a) 3x 3 + 6x 2 8x 4 b) 3x 3 + 7x 2 8x 4 c) 3x 3 + 6x 2 + 8x 4 d) 3x 3 + 7x 2 + 8x 4 V. Expand and simplify: 3( 6 2c ) + 3 ( 8 + c) a) 50 2c b) c c) 42 3c d) 42+ 3c VI. Multiply: ( ) ( ) a) b) c) d) VII. Scientific notation of is: a) b) c) d) VIII. Estimate : a) 7 b) 6 c) 5 d) 7.5 IX. Subtract: ( 4m + 3m 3 t ) ( 7t 2m + 2m 3 ) a) 3m + m 3 8t c) 2m + m 3 7t b) 4m + m 3 8t d) 2m + m 3 8t X. Calculate: 2.4 ( ) 0 a) 0 b) 2.4 c) 3.4 d) 4.4 MHSS/MATHEMATICS/IX/MD/2018 Page 1 of 6

2 SECTION B ( ALL QUESTIONS ARE COMPULSORY) QUESTION 2: [4 Marks] a) List at least two possible ways of writing 3 8 as a product of power of 3. b) Find the value of x: i = 2 ii x = 11 QUESTION 3: [4 Marks] Solve for n in each question: a) 7 10 = ( 7 2 ) n b) = ( 10 n ) 2 c) = 1 d) 2 n = ( ) 3 QUESTION 4: [4 Marks] a) A line has equation 3x + 2y = 6 i. Determine the coordinates of y intercept. ii. Determine the coordinates of the x - intercept. b) The table shows the length of an elastic band from which a mass is suspended. Determine whether the relationship between the length of the elastic and the mass is linear, quadratic or neither. Mass Length QUESTION 5: [4 Marks] a) Calculate: i. ii. b) Write each number in scientific notation. i ii QUESTION 6: [4 Marks] a) Create a table of values to show the relationship between radius and the circumference of a circle. Determine whether the relation is linear, quadratic or exponential. b) Solve: 5a + 7 3a + 11 QUESTION 7: [4 Marks] a) Calculate : i. ( ) 0 ii. b) Estimate : i. ii. QUESTION 8: [4 Marks] a) Simplify : 3x - 2y + 8x - 2y 2 + 6y b) Multiply: 6(4 t + 3t 2 ) QUESTION 9: [4 Marks] a) For the given table of values, state whether the relation it represents is linear, quadratic, exponential, none of these. X Y MHSS/MATHEMATICS/IX/MD/2018 Page 2 of 6

3 b) Which number is greater? or SECTION C (48 marks) Under this section there are 8 questions. Each question has two parts, Part I and Part II. Attempt either Part I or Part II from each question. QUESTION 10 (1) (3) a) A photographer charges base fee of Nu.250 and Nu. 50 for each photograph ordered. Maya can afford to spend no more than Nu.1060.What different quantities of photo can Maya afford? Show your steps. b) Solve: + 1 = + 4 (3) QUESTION 10 (II) a) Forensic scientists sometimes use the following equations to estimate the height (H ) of a person, from the length (f) of the person s femur bone. All the measurements are in centimeters. Male: H = 1.9f Female: H = 2.0f i. What is the slope of each line? (2) ii. Sketch both the lines on the same axis. (2) b) Divide : ( 16x 2 + 6x 3 6x ) ( 6x 2) (2) QUESTION 11(I) a) Use algebraic tiles to determine the difference: (2 ) (2x 4) (x 2 ) b) For the fraction given : i. Divide to find the quotient. (2) ii. Evaluate the quotient for k = 2 and m = 3 (2) QUESTION 11(II) c) 2y ( 3 4y) = (2) d) (4xy 2y 2 ) 2y = (2) e) The value of n in 8 4n = 2 48 is : (2) QUESTION 12(I) a) Find the estimate of. (1) b) Evaluate : 4 + ( ) ( 5 7 ) (3) c) Graph: Positive integers greater than 3 but less than 8. (2) QUESTION 12(II) a) By how much is the first polynomial greater than the product of the binomial multiplication? (3) 3y y 3 and (2y + 5) ( 2y 3) b) Which is greater? (3) ( ) ( ) or MHSS/MATHEMATICS/IX/MD/2018 Page 3 of 6

4 QUESTION 13 (I) A pilot wants to reduce her plane s airspeed at a constant rate from 550 km/hr to 100 km/hr in 5 minutes. a) Complete the table to show the airspeed at the end of each one- minute interval. (1) Elapsed time in minutes. Airspeed( km/ h) b) Draw the graph. (2) c) Suppose the pilot reduced speed at a constant rate in the same amount of time but to 200 km/ hr. i. Make the table. (1) ii. Draw the graph. (2) QUESTION 13 (II) (6 Marks) a) Graph these equations on the same grid i. y = 2x+1 ii) y = 2x 1 iii) y = 2x 1 iv) y= 2x + 1 b) Which have the same slope? What is that slope? QUESTION 14 (I) (6 Marks) a) Draw the graphs on the same graph sheet of the relation represented by: i. y= 2x, ii) y= x 2 iii) y = 2 x QUESTION 14 (II) (6 Marks) b) Evaluate: i ( 0.6 ) ii ( 1) QUESTION 15(I) (6Marks) a) The formula to estimate the number of seconds it takes for an object to fall h meters is About how many seconds will it take for an object to fall? (3) i. 100m ii 1000m iii 50000m b) Determine the slope and y intercept form of the line with the equation (3) 5x + 2y = 10. QUESTION 15 (II) (6 Marks) a) Calculate the area of 5 rectangles with a width of 5cm. You might use the height of 1cm, 1.5cm, 2cm, 3cm, 4.75cm and 5cm. Use your data to complete the following table of values. (3) Height Area b) Draw a scatter plot and line of best fit to show the relationship between the relationship between height and area. (3) MHSS/MATHEMATICS/IX/MD/2018 Page 4 of 6

5 QUESTION 16(I) (6 Marks) a) This data from Bhutan National Human Development Report shows the number of licensed businesses in Bhutan. Treat 1998 as year 0 to make the year axis start at 0. Draw a scatter plot and a line of best fit for this data. Use the year number for x - axis. (3) Actual year Year number No. of licensed businesses b) The oranges in the basket on Dema s back weigh about 18 kg. On average there are 11 oranges per kilogram. Estimate the number of oranges Dema is carrying. (3) QUESTION 16(II) [6 Marks] a) Order from least to greatest: (3) ( ) 4, ( ) 3, ( ) 2, ( 2 ) 8, 2 30 b) Using algebraic tiles add: (3) ( 3y 2xy + x 2 ) + ( y + 3xy + x 2 ) QUESTION 17 (I) (6 Marks) Solve for n a) ( = 49 (2) b) ( = 1 (2) c) = ( ) 3 (2) QUESTION 17 (II) (6 Marks) Simplify the exponent (do not calculate the values) a) ( (2) b) ( (2) c) (2) THE END MHSS/MATHEMATICS/IX/MD/2018 Page 5 of 6

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