c Angel International School - Manipay 1 st Term Examination November, 2017 Mathematics Part A

Transcription

1 c Angel International School - Manipay 1 st Term Examination November, 2017 Mathematics Grade 10 Duration: 03 hours Index No:- 01. Express the as a decimal. Part A 02. Express 0.08 as a percentage. 03. Write in scientific notation. 04. Find the least common multiple of 3m 2 n, 2mn 2, 4n. 05. Determine the value of x and y if a 2 +a-12= (a+x) (a+y). 06. Solve 07. Find the length of the diagonal of a rhombus are 6cm and 8 cm find the length of aside of the rhombus? 08. Find the gradient and intercept of the line 3x+y -5= Remove the bracket and simplify 2(x-2)-3(2x-4) 1 P a g e

2 13. Find the time it takes in minutes for of the tank of capacity 1200L to be filled with water flows at a rate of 500L per minute? 14. Factorize 2x Find the value of 16. Simplify can be expressed as the rational number where p and q are the integer find the value of p and q? 18. Given the ( calculate k men can complete a work in 6 days after working for two days two men didn t turn up for work. How many man days of work are after two days? 20. An interior angle of a regular polygon is find the number sides? 21. ABC is a quarter circular sector. if the area of the shaded portion is 3.5 cm 2 Find the radius AB In terms of t P a g e

3 If the straight line given by the equation y = 2x + c passes through the point (1, 5) then find the value of C? 30. Find the Inter Quartile range of the following sample of date. 1, 3, 3, 5, 6, 8, 9, 9, 10, 11, 12 3 P a g e

4 Part B ) A fruit seller reserved part of fruits for his own needs. of the remainder was spoiled. part of the remaining fruits are small size. remaining fruits are large size. If he sells the large sizes fruits at Rs 40 each and grained Rs a) Find the fraction of fruits after reserving for his own needs? b) What is the fraction of spoiled fruits in whole fruits? c) Write the fraction of small fruits in whole fruits? d) How many fruits are there in large size? e) What is the fraction of large size fruits in whole part. f) Find the total number of fruits he bought. 02) 100m A swimming pool with length 100m and breadth 14m swimming pool 14m 14m is in the playground. grass was laid in the remaining area of the ground. a) Find the area of the swimming pool. 4 P a g e

5 b) What is the area of a semicircular part? c) Find the area of the ground. d) Find the area of the part where the grass was laid e) Depth of the swimming pool is 2.5m. Find the volume of the water. 3) Ravi, Raja and Kamal decided to start a bussiness. Ravi and Rajah invested Rs 40,000 and Rs 60,000 respectively at the start of the year. after 4 months Kamal invested Rs 75,000 and joined the bussiness. Rs 84,000 gained as the profit end of the year. a) Find the ratio of investments. b) Find the ratio of period of time. c) Find the ratio the profit should be divided. d) Rs 24,000 was paid as the rent from the profit. Find the profit gained by Ravi. 04) 7 playing cricket In a mixed school, there are 25 students. 13of them girls 16 students can play cricket. Girls a) Draw the Venn diagram in your answer sheet, shade the region represent the boys who play cricket. b) How many girls didn t play cricket. 5 P a g e

6 c) How many boys are there in the school. d) Find the probability of a student who can t play cricket. e) Find the percentage of girls who play cricket of the students who play cricket. 05) The following charts represent the marks of 35 students. Class Interval (Marks) Number of students (frequency)... a) Find the frequency of students who got the marks in the class interval b) Express the fraction of student who got marks below 20. c) Draw the histogram for the above data. d) Draw the frequency polygon e) What is the relation between the area of histogram formed with x axis and area of the frequency polygon formed with x axis. 6 P a g e

7 Section B Answer any (2) questions from section B. (Only for Cambridge Students) 1 (a) Express as a single fraction in its simplest form (ii) 4 7 x + x 3. Answer... 2 (a) The formula for the area of a trapezium is A = 1 2 h ( c + d ). (i) Find an expression for c in terms of A, h and d. Answer... [2] (ii) c 4 8 The diagram shows a trapezium with dimensions given in centimetres. The perpendicular distance between the parallel lines is 4 cm. The area of the trapezium is 22 cm 2. Find In the diagram, the shaded area represents a rectangular picture frame P a g e

8 The outer rectangle is 32 cm by 20 cm. The inner rectangle is 26 cm by 14 cm. All measurements are given to the nearest centimetre. (i) Calculate the lower bound of the perimeter of the outer rectangle. (2) B A N A N A The letters spelling the word BANANA are written on six tiles. (a) Find the probability that a tile chosen at random has the letter N on it. Give your answer as a fraction in its simplest form. Answer... [1] (b) The six tiles are placed in a bag. Three tiles are chosen at random without replacement. The first is placed in Position 1, the second in Position 2 and the third in Position 3. Position 1 Position 2 Position 3 (i) Find the probability that the three tiles spell BAN. Give your answer as a fraction in its simplest form. Answer... [2] (ii) The tiles are now replaced and the process is repeated. Find the probability that the three tiles spell either ANN or ANA. Give your answer as a fraction in its simplest form. Answer... [2] 10 8 P a g e

9 (3) The pie chart, not drawn accurately, represents the weekly income of the five employees in a small British company in Ed Andrew David Brian Carol Andrew s weekly income is represented by a sector with an angle of 72º. Brian s weekly income is represented by a sector with an angle of 60º. (a) Andrew s weekly income was 270. Find the total weekly income of the five employees. (b) Calculate Brian s weekly income. Answer... [1] Answer... [1] (c) Carol s weekly income was 405. Calculate the angle of the sector representing Carol s weekly income. (d) David s weekly income was twice as much as Ed s weekly income. Calculate David s weekly income. Answer... [2] ****** 9 P a g e