CSS Middle Standard “Mathematics” 151 Ans: 56, 123, 234, 234, 324, 341, 543, 543, 555, 567, 678, 766, 778, 873 (v) 1234, 0987, 4876, 2345, 2145, 09876, 1234, 1339 Ans: 0987, 1234, 1234, 1339, 2145, 2345, 4876, 09876 (vi) 123344, 998456, 456677, 777777, 577778, 876123, 987543 Ans: 123344, 456677, 577778, 777777, 876123, 987543, 998456 Q3. Given below the ungrouped data of 35 person’s ages. Change it into a grouped data. Make a tally and frequency distribution table. Ans: Class Interval Tally Marks Frequency 1-20 8 21-40 10 41-60 10 61-80 5 81-100 || 2 Exercise (13b) Q1. The marks of Ali in different subject are given below. Ans: Q.2 The below table shows the favorite cricket players of 250 students of a school. Name of player Imran khan Wasim akram Shahid Afridi Younas Khan Umer Gul No. of students 70 40 50 30 50 Ans:Horizontal Bar Graph
CSS Middle Standard “Mathematics” 152 Q.3 The following table shows the year wise strength of a medical college. Years 2006-07 2007-08 2008-09 2009-10 2010-11 No. of students 800 975 1100 1400 1625 Ans: Q.4 Ali ha there types of food items is his store as shown in pie graph read the graph and answersthese following questions: (i) Which types of food item is greater in numbers? (ii) Which type of food item is the smallest in number? (iii) Without calculation find the ratio of juices and poultry. Ans: (i) Bakery (ii) Juices 60 : 120 1 : 2 Q.5 The means of transportation of different people to go to office are shown in pie graph. Read the graph and answer the following questions. (i) In how many sectors pie graph has been divided. (ii) Which mean is mostly used for going to office. (iii) Which mean is less used for going to office. (iv) Without calculation find the ratio between means of bus and van. Ans: (i) Pie graph is divided into four sectors. (ii) Bus is mostly used for going offices. (iii) Van is less used for going offices (iv) 120 : 60 2 : 1 Q.6 The pie chart shows how a box of 40 chocolates is shared among 3 sisters. Find out how many chocolates each one gets. Ans: Share of Shazia = 40 90° 360° = 40 1 4 = 10 chocolates Share of Anoral = 40 135° 360° = 15 chocolates Share of Alishaba = 40 135° 360° = 15 chocolates
CSS Middle Standard “Mathematics” 153 Q.7 The cost of construction of a house is given by the pie chart. Calculate the angle of each sector. Angle of steels sector = 15 360 100 = 3 18 2 = 54° Angle of Timber’s sector = 360 10 100 = 36° Angle of labour’s sector = 360 25 100 = 90° Angle of cement’s sector = 360 20 100 = 54° Angle of bricks = 360 15 100 = 54° Angle of supervision = 360 15 100 = 54 Model Paper No. 1 Section A Time Allowed: 50 Minutes (Objective Type) Total Marks: 40 Q.1: Fill the circle of correct answer. (40 Marks) 1. Diagonal of square are line segments linking __________vertices of squres. parallel non-parallel opposite same 2. Area of a square is __________. 2 rh w 4 3. The perimeter of a rectangle is P = __________. ×w +w+h 4 2(+2) 4. If =7, w = 8, then Area = __________ : 15 30 56 28 5. The perimeter of a square having each side 3cm is: 9cm 12cm 12cm2 6cm2 6. The Area of a rectangular garden is 72cm2 . If the length of garden is 9cm then its breadth is: 8 9 6 36 7. The base and height of the triangle are in ratio of 2:4. If area of triangle is 248cm2 . Find base: 64 68 63 65 8. A parallelogram is a __________ in which opposite parts of sides are equal and parallel. triangle circle quadrilateral Sphere 9. Area of parallelogram = _______________. 1 b×h 2 b×h b+h 1 b×h 3 10. Area of trapezium with a = 8.8 cm, b = 4.2cm and h = 6cm is: 36cm2 39cm2 35cm2 34cm2 11. The area of a trapezium is 240cm2. If its parallel sides are 40cm and 20cm, then altitude will be: 6cm 10cm 8cm 7cm 12. The line segment where two faces meet is called a/an ___________: face vertex corner edge 13. A sphere has ___________ vertex: 1 3 2 0 14. ___________ is a prism with six congruent faces, all faces meet at 90° angle. Cone Cube Sphere Cylinder
CSS Middle Standard “Mathematics” 154 15. Find volume of a cube whose each side is 5cm long. 216cm3 115cm3 125cm3 200cm3 16. Surface area of cube = 2(lw+wh+lh) lwh 6l2 l 2 17. Volume of a cubical garden of side 10m is: 100cm3 1000cm3 30cm3 10000cm3 18. By converting the 63450 m3 into liter, the answer will be: 6.345 l 63.45 l 634.5 l 6345 l 19. The shape of following figure is known as: Sphere Pyramid Cone Cylinder 20. Which of the following shapes does not have curved surface: Cone Sphere Cuboid Cylinder 21. How many faces does a triangular prism have? Four Five Six Eight 22. A perfectly round solid is called: Cylinder Cone Sphere Cube 23. In interval 35-45, 45 is called: upper limit lower limit frequency range 24. Using the tally marks, which one of the following represents the number eight |||| ||| ||| ||| ||||| || |||| ||| 25. The marks (out of 10) obtained by 28 students in a Mathematics test is listed below: 8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 10, 5. The number of students who obtained marks more than or equal to 5 is 13 15 15 14 26. The number of times a particular observation occurs in a gives data is called its: frequency range class interval limit 27. There are ___________ main source to collect data: three two four one 28. The singular form of data is: dat datun datum date 29. A ___________ is when we collect data for every member of group: sample population census survey 30. Exclusive form is also called: discreat interval form continuous interval form discontinuous interval form inclusive form 31. A circular graph which is used to represent data is called ___________. horizontal bar graph vertical bar graph pie chart line graph 32. A trapezium is a quadrilateral that has ___________ of parallel side: none only one pair both three 33. Find the area of triangle shown: 32.5cm2 45.5cm2 65cm2 71.5cm2 34. What is volume of a shape with a length of 8 inches, a with of 7 inches and height of 10 inches? 56 square inches 56 cubed inches 56 inches 30 inches
CSS Middle Standard “Mathematics” 155 35. The perimeter of rectangle that is 3 miles by 12 miles. 30 mi 12 mi 16 mi 18 mi 36. The shape shown has an area of 64 square inches, what is perimeter? 8 inches 16 inches 32 inches 18 inches 37. Area of a fort path has always ________ area on the outer side as compare to its inner area: greater lesser equal none 38. Volume is a measure of how much a particular object occupies: space fluid liquid all 39. When data is converted from inclusive form: multiply divide add subtract 40. The data obtained in original form is called ______________: raw data ungrouped data sample sourvey Section B Time Allowed: 2:10 minutes (Subjective Type) Total Marks: 60 Attempt all questions. Each question carries equal marks. Q.1: Ali has square land that measures 25m on each side. His house is 9m by 13m. If the 4rest of space is a plot of grass, what area of grass does have now? Q.2: Find the area of a trapezium whose parallel sides are 14cm, 42cm and nonparallel sides are15cm, 18cm and the distance between parallel sides is 9cm. Q.3: The cost of the paint is Rs. 38 per kg. If 1 kg of paint covers 25 sq.feet, how much will it cost to paint outside of a cube hav8ing 8 feet each side. Q.4: How many tiles, each measuring 3cm × 12.5cm × 8cm, will be needed to build a wall 4cm × 8cm × 12.5cm. Q.5: In a botanical garden, the number of different types of plates is found as follows: Type of the plant Number of plants Herb Shrub Creeper Climber Tree 50 60 20 45 95 Draw a bar graph to represent the above information and answer the following questions: (a) Which type of plant is maximum in number in the garden? (b) Which type of plant is minimum in number in garden. Q.6: The following bar graph represents the data for different sizes of shoes worn by the students in a school. Read the graph and answer the following questions. (a) Find the number of students whose show sizes have been collected. (b) What is the number of student wearing show size 6. (c) What are the different sizes of shoes worn by students?
CSS Middle Standard “Mathematics” 156 Model Paper No. 2 Section A Time Allowed: 50 Minutes (Objective Type) Total Marks: 40 Q.1: Fill the circle of correct answer. (40 Marks) 1. What is formula for volume? ×w×h +w+L+w +w+h ×w 2. What is the perimeter of a shape with a length of 8 inches, a width of 7 inches, and length of 10 inches? 56 square inches 60 cubed inches 56 inches 30 inches 3. Amaar build a fence around a rectangular section of his backyard, the length of the section is 20feet and width is 5 feet. What is perimeter of the fenced section? 10 feet 40 feet 50 feet 100 feet 4. The length of a rectangular map is 15 inches and the perimeter is 50 inches. Find the width. 10 inches 20 inches 30 inches 35 inches 5. What is area of a square 9 by 9 ft? 81 sq.ft 81 122 sq.ft 100 sq.ft 6. If w=4cm, A=20cm2 then l=: 5cm 6cm 48cm 12cm 7. Find the area of parallelogram shown: 140m2 200m2 240m2 280m2 8. The semi perimeter of a triangle is: l×b a×b×c a+b a+b+c 2 9. _______________ of a geometric figure is the shortest distanced from its top to tis opposite side. base length breadth altitude 10. Perimeter of a rectangle is ________________ the sum of length and width: half one-third twice thrice 11. _______________ is the measurement of surface of plane closed figure. perimeter volume circumference area 12. Area can be measured in: centimeter kilometer square unit feet 13. Area of trapezium = 1 a×b×h 2 1 (a×b)×h 2 2a a+b a+b+h 14. Find area of square whose each side 2.8mm: 7.84 7.84mm2 0.784mm 784mm2 15. Perimeter is the length of ______________ of a plane closed figure. inside atitude base boundary 16. If two cubes of dimension 2cm by 2cm by 2cm are placed side by side what would be the dimension of cuboid be? 4cm×4cm×4cm 8cm×8cm×8cm 8cm×6cm×4cm 4cm×2cm×2cm 17. Vertex of given figure are: only a and b only G and D A,B,C,D, E,F, G and H only C and F 18. What is base of a cone? Square circle sphere square
CSS Middle Standard “Mathematics” 157 19. Faces of the cube are in shape of: square rectangle triangle circle 20. The line segments of solid shapes are its _______________ : faces vertices edges circle 21. the corners of a sphere are _______________? 3 8 6 0 22. Name the given figure: cube cuboid pyramid circle 23. Which is/are three dimensional figures in shapes: sphere pyramid cylinder rectangle 24. Which of the following shapes has curved surfaces? cube cuboid triangle cone 25. A perfectly round solid is called a _______________: sphere cone cylinder cube 26. A solid object has 6 faces, 12 edges and 8 corners. This object could be a _____________: rectangle cylinder sphere cone 27. what shape can be cross section of a cylinder? triangle circle sphere pyramid 28. How many vertices does a cube have? zero six eight twelve 29. Coka cola usually comes in what shaped can? square triangular cylinder cuboid 30. A cupboard usually has the shape of which 3-D shape? cuboid cube cylinder square 31. 3-D shape can also be called ____________: a flat shape a solid shape a polygon plane shape 32. In history which of the following is represented by the heights of the rectangles? frequency class interval class size range 33. From the table given below, in which year is the number of students twice as that of 2001-02? Academic years 2001-02 2003-03 2003-04 2004-05 2005-06 2006-07 No. of students 150 200 300 150 250 350 2002-03 2005-06 2006-07 2003-04 34. _____________ is a collection of facts, such as numbers, words, observation or even just description of things. survay mean class interval data 35. When data is converted from inclusive form to exclusive form, we ______________ 0.5 to upper limit. multiply add subtract divide 36. The angle at center corresponding to the particular value (observation) components is given by: angle of a particular sector × 360° 360 Value of the component × 360° total value angle of a particular sector × total value 360 none 37. A special chart that uses “pie slices” to show relative sizes of data is called ______________: horizontal chart vertical chart bar chart pie chart 38. Usman has three types of food items in his bakery, as describe in graph, without calculation, find the ratio of pizza and biscuits: 2:3 3:2 1:3 1:2
CSS Middle Standard “Mathematics” 158 39. A frequency distribution in which both upper class limits and lower class limits are included is called ______________: continuous form discontinuous form discrete form all these form 40. Each class is bounded by _______________ figures: 3 2 5 4 Section B Time Allowed: 2:10 minutes (Subjective Type) Total Marks: 60 Attempt all questions. Each question carries equal marks. Q.1: How to calculate the area of trapezium? Q.2: If it costs Rs. 2500to fence a rectangular house of length 20m at the rate of Rs.25 per m2, find the breath of the house and its perimeter. Also, find the area of the house? Q.3: Define the following cube, cone, cylinder. Q.4: A water tank contain liquid if the dimension of the tank are 9m×7m×8m, find how many litres of liquid it holds. Q.5: The means of transportation of different people to get to office are shown in pie graph. Read the graph and answer the following questions. (a) In how many sectors pie graph has been divided. (b) Which mean is mostly used for going to office. (c)With calculation, find the ratio between means of bus and van. Q.6: The following table gives the data of number of schools (stage-wise) of a country in year 2002. Stage No. of Schools (in thousands) Primary Upper Primary Secondary Higher Secondary 80 55 30 20 Draw a bar graph to represent the above data. Model Paper No. 3 Section A Time Allowed: 50 Minutes (Objective Type) Total Marks: 40 Q.1: Fill the circle of correct answer. (40 Marks) 1. If =7, w=8, then area = ________________: 15 30 56 28 2. Diagonal of square are line segments linking ________________ vertices of squares. parallel non-parallel opposite None 3. The perimeters of a square having such side 3cm is: 9cm 12cm 12cm2 6cm2 4. Area of a square is ________________: 2 rh w 2(+w) 5. The perimeter of a rectangle is P = _______________ ×w +w+h 4 2(+w) 6. A Parallelogram is a _____________ in which opposite pairs of sides are equal and parallel: triangle circle quadrilateral sphere 7. If two cubes of dimension 2cm by 2cm by 2cm are place side by side what would be dimension of cuboid be? 4cm×4cm×4cm 8cm×8cm×8cm 8cm×6cm×4cm 4cm×2cm×2cm
CSS Middle Standard “Mathematics” 159 8. Find the area of parallelogram shown: 140cm2 200cm2 240cm2 280cm2 9. What is area of a square 9 by 9ft? 81sq.ft 81 122sq.ft 100sq.ft 10. The length of a rectangular field is 15 inches and the perimeter is 50 inches. Find the width? 10 inches 20 inches 30 inches 35 inches 11. what is the perimeter of a shape with a length of 8 inches, a width of inches and height of 10 inches? 56sq.inches 560cubed inches 56inches 30inches 12. The perimeter of rectangle that is 3 miles by 12 miles is: 30mi 12mi 16mi 18mi 13. Area can be measured in: centimeter kilometer square unit feet 14. The trapezium is quadrilateral that has ______________ of parallel sides: none only one pair four three 15. A circular graph which is used to represent data is called _____________ . horizontal graph vertical graph pie graph line graph 16. Exclusive form is also called ___________ from: discrete interval continuous interval discontinuous interval Inclusive 17. There are _____________ main source to collect data: two four one three 18. A ____________ is when we collect data for every member of group. sample census survey population 19. The singular form of data is ____________: date datum detul datum 20. The marks (out of 20) obtained by 15 students in English test is list below: 11,15,14,13,11,12,18,11,11,19,11, 20, 9,18,17. The number of students who obtained 11 marks are: 4 5 7 6 21. A perfectly round solid is called: cylinder sphere cube cone 22. Which of the following shape does not have curved surface: cylinder circle cone cuboid 23. The number of times a particular observation occurs in a given data is called its: frequency limits class interval mean 24. By converting the 3578m3 into liter, the answer will be: 3.57 35.78 0.3758 357.8 25. Area of trapezium with a = 8.8 cm, b = 4.2cm, and h = 6cm is:: 36cm2 35cm2 34cm2 39cm2 26. Find volume of a cube whose each side is 6cm long: 125cm3 289cm3 216cm3 256cm3 27. Using the tally marks, which if the following represents the number ten: |||| |||| ||| || ||| |||| ||||| || || || | 28. How many vertices does a cube have? zero six eight twelve 29. Coka cola usually comes in what shaped can? square triangular cylinder cuboid 30. 3-D shape can also called _____________: a flat shape a solid shape 2-D shape a plane shape
CSS Middle Standard “Mathematics” 160 31. Which of the following shapes has curved surfaces? triangle cuboid cube cylinder 32. A LED usually has a shape of : triangle square trapezium rectangle 33. 3-D shape can also be called ____________: a flat shape a solid shape a polygon plane shape 34. The corner of sold shapes are its: faces edges vertices bases 35. What is base of a cone? Square sphere triangle circle 36. Name the given figure: cone cylinder cube circle 37. Area of trapezium = 1 (a+b+h) 2 1 (a+b)×h 2 1 (a+h)×b 3 1 (b+h)×a 2 38. The semi perimeter of a triangle is: a×b×c 3 a+b+c 3 (a×b)+c 3 (a×c)+b 3 39. ______________ is the measurement of surface of plane closed figure: perimeter volume area circumference 40. What is formula of volume: +w+h +w++w +w+h wh 3 Section B Time Allowed: 2:10 minutes (Subjective Type) Total Marks: 60 Attempt all questions. Each question carries equal marks. Q.1: Write the formula of following terms. (i) Perimeter of triangle (ii) Perimeter of rectangle (iii) Area of trapezium (iv) Area of parallelogram (v) Area of triangle (vi) Area of rectangle. Q.2: The cross sectional area of a canal was found to be a trapezium. It was 20meter wide from the top and 6 meter wide from the bottom. The area of this cross section was measured as 680m2 . Calculate the depth of the canal. Q.3: A dimension of cuboids flower are 35cm, 7cm, 8.5cm. How much space will be occupoid by 345 mugs. Q.4: Write the properties of following shapes: (i) Sphere (ii)Tetrahedron (iii)Triangular (iv) Prism Q.5: The bar graph given blow represents the circulation of newspaper in different languages in a town. Study the bar graph and answer the following questions. (i) What is circulation of English newspaper? (ii) Name two languages in which circulation of newspaper is same. (iii) By how much is circulation of newspaper in Hindi more than newspaper in Bengal. Q.6: Construct the pie graph for the following table. Expenditures to construct a house Labour Timber Cement Bricks Supervision Steal Percentage 25 15 20 15 10