2 nd Term Test Maris Stella College- Negombo. Mathematics

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1 Grade 9 2 nd Term Test Maris Stella College- Negombo. Mathematics 2 Hours Name(. Grade ( Index No ( Answer all the questions. Part I 1) Write x 10-3 in general form. 2) Which fraction is bigger -1 or 3) Make S the subject of the formula V 2 = U 2 + 2fs 4) Find the factors of X 2 + ab + bx + ax 5) An item was purchased for Rs 1200 and sold for Rs 150. Express the profit. i) As a fraction of the purchased price. ii) What is the percentage of the profit? 6) Using the details given in the diagram i) Find the value of X 0 ii) Find the value of Y 0 B ) A X 0 Y 0 C i) Write in the index form of log a b = c ii) Write 125 = 5 3 in the logarithmic form. Mathematics Grade 9 Page 1

2 8) According to the data given in the figure find the length of AB. C 13cm 12cm A 9) Find the perimeter of the following figure. B 14cm 10) A person deposits Rs at 12% annual simple interest rate in a certain bank. Find the amount of interest that he will receive after two years. 11) Write the equation of the straight line which passes through the origin and parallel to the straight line. Y=3x ) The ratio between the two acute angle of a right angled triangle is 3:7. Find the magnitude of the larger angle out of these two acute angles. 13) Simplify and express the answer in positive indices. X 2-3 Y -1 14) The way that a calculator was operated by a student in grade 9 is shown below. On/c =. =.. Write down the answer that he tried to obtain in boxes. 15) If the common term of the number sequence is 2n+3 i) Write the second term of the number sequence ii) Which term is 43? Mathematics Grade 9 Page 2

3 16) i) Round the number to the nearest ii) Give the answer in standard form (using scientific notation) 17) The ratio of the mass of an object, when it is on moon and on earth 1:6 i) The mass of a child on earth is 60kg, what be the mass of the child when on moon. ii) The mass of an object when it is on moon is 30kg, what is the mass of the object when on earth. 18) Simplify ) If a=2 and b=(-3) find the value of a 2 +b 2 20) The following sketch shows the location of three houses A,B and C A B C A common well equidistant to A,B and C houses has to be constructed. Mark the most suitable place for the construction of the well as P. (marks 2 x 20 = 40) Mathematics Grade 9 Page 3

4 Part II Answer Q1 and 4 other questions. Marks Q1-16 marks and 11 marks each for other questions. 1) i) Write two equations you got to know in mathematics or science texts. ii) Name two types of equations you learned. iii) Find the value for a and b of, a - 2b = 1 a + b = 7 iv) The price of a book is Rs 3.00 more than the two times of an eraser. a. If price of an eraser is a, then write an algebraic expression of the price of a book. b. If two erasers and a book costs Rs 67 construct an equation. c. Find the cost of a book and an eraser. v) Simplify 0.12 x ) Following diagram shows an activity done by the students. a) i) Write down the theorem you obtain from activity based on triangles. ii) Can you apply the same theorem for quadrilaterals? iii) Write another theorem regarding triangles b) Copy this PQR angle to your answer paper as ABC P Q R Mathematics Grade 9 Page 4

5 3) The diagram shows a cuboid shape tank of, a) Length 60m breadth 20m and height 8m i) Find the volume of the tank ii) Give the capacity in litres iii) To have the capacity l. What should be the height of the tank without changing the area of the base? b) X i) If XZ=25cm XY=24cm, find YZ ii) Draw a right angled isosceles triangle Y Z 4) Construct the following by using the compass and cm/mm straight edge i) Construct the triangle PQR which PQ=8cm, PQR 90 0 and QR 6cm ii) Construct the locus of the point moving equidistant to the lines PQ and QR iii) Mark the intersection point of the above locus and the side PR as O iv) Write the geometrical name of that locus v) Measure the length of QO and write vi) Measure PR and write. 5) Y a) X i) Find the gradient and the intercept of the given function. ii) Write the equation of the function. b) i) What is the constant value of? ii) If r = 14cm find the circumference using c= 2 r iii) 7m Find the perimeter of this figure. Mathematics Grade 9 Page 5

6 6) a) Simplify i) 3 2 x 3 6 ii) = 2 iii) ( -2 ) 3 iv) press the following as logarithms 128 = = 10 4 v) A train travels at a speed of 96 kmph. Find the distance it travels in 5 minutes using a proportion vi) Find the factors of K 2 17k + 30 Mathematics Grade 9 Page 6

GATUNDU FORM 4 EVALUATION EXAM 121/1 MATHEMATICS PAPER I JULY/AUGUST 2015 TIME: 2 ½ HOURS

GATUNDU FORM 4 EVALUATION EXAM 121/1 MATHEMATICS PAPER I JULY/AUGUST 2015 TIME: 2 ½ HOURS SECTION I ANSWER ALL QUESTIONS 1. Without using Logarithms tables or a calculator evaluate. 384.16 x 0.0625 96.04