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Adventist International Mission School
(English Medium/Version) Since – 1996,
Second Term Examination-2013
Standard V, Sub: Elementary Mathematic,
Marks: 100 Times: 2 Hours Date: 6 October 2013, 2013

(Answer the question any ten include 1, 2, 3 and 13)

01.  Multiple choice Question
i.                    How many cubic centimeters are there in 7789 litres?
      a. 7789                        b. 778900        c. 7789000      d.7.789
ii.                  1 metric ton =?
      a. 100 quintal    b. 100 kg         c. 1000 kg        d. 10 kg
iii.                Evaluate : 15% of 80 Km
      a. 12                b. 12 Km         c. 120Km         d. 1.20
iv.                Percentage profit is calculated on the basis of the __
      a. cost price      b. sell price       c. principal        d. profit
v.                  0.027 ÷ 18 =?
      a. 0.015           b. 0.0015         c. 0.486           d. 01.12          
vi.                1.8 x 0.18 x 0.8 x 0.01 =?
      a. 0.002592     b. 0.02592       c. 2.59200       d. 25.0124
vii.              What is the G.C.D of 48, 72 and 168?
      a. 20                b. 48                c. 24                d. 168
viii.            Convert this into improper fraction 40
      a. 391              b. 125              c.              d.
ix.                Of is the tantamount of ______?
      a. Addition       b. Subtraction   c. Division        d. Multiplication
x.                  Evaluate :
      a.                 b.                 c.                d.


02.  Short Question
i.                    In a division problem dividend is 28087, the divisor is 264 and the remainder is 103. What is the quotient?
ii.                  Simplify: 78 – [56 + {165 – (48 ÷ 6 x 9) x 2}]
iii.                Write down the relation symbol with one example.
iv.                Fill in the gaps:
                                    5   1     0
                                       
                        ────────
                                4  5   9    0          
                                0    0
                        5  7   0     0
                      ─────────
                        3 6  1  5     0           
v.                  Find the product by Easy method: 5010 x 358
vi.                Divided 75850 by 37
vii.              Dividend is 35792, divisor is 47 and remainder is 25. What is the quotient?
viii.            Find area of the triangular region when base 44 m and height 40 m 40 cm
ix.                Divide: 82 kilometre 7 hectometre 6 decametre 4 metre by 9
x.                  Express in Kilogram: 98 kilogram 76 gram 54 centigram 3 milligram
03.  Creative: From a departmental store Zahidul Hasan bought 40 kg of rice, Soyabean oil for 265 taka and fish for 588 taka. Each kg of rice costs 18 taka. He gave 2000 taka to the cashier.
a.       How much money he need of rice?
b.      If one litre Soyabean cost is Tk. 53 then how many Soyabean oil for given Taka.
c.       One dozen Hilsha fish is Tk. 4136 then what the cost of 7 Hilsha fish is.
d.      What amount will the cashier refund him?
e.       If Mr. Zahidul Hasan spend for marketing as 7 days he need how many money?
04.  Proma, Rimi and Monisha made 70 flags to decorate the school on Victory Day. It was found that Proma had made 5 more flags than Rimi, again Monisha had 6 more flags than Proma. How many flags did each one of them make?


05.  In a test series of five cricket matches, the average of the runs made by six batsmen of the visiting team was 76; the average of the runs made by four bowlers was 21. What average run did those players make in that series?
06.  Two drums have capacity 228 litres and 348 litres respectively. A bucket of what largest capacity can be used to fill up the two drums with water using the bucket (to its) full capacity an integral number of times? Which drum will hold how many buckets of water?
07.  Mr. Matin bought a bicycle with portion of his money. He then bought a radio at  portion of the cost of the bicycle and distributed the remaining money equally between his two daughters. Each daughter got 300 taka. How much money did Mr. Matin have?
08.  0 15 portion of a bamboo is in mud, 0 65 portion is in water. The length of the bamboo above water is 4 metre; what is the length of the bamboo as a whole?
09.  Interest for how many years on 300 taka at 5% per annum will be 60 taka?
10.  A drum can store 53 kg 9 hg 8 dg 7 gram of flour. How much flour can be stored in 9 such drums.
11.  The measures of the base and height of a triangular land are 560 metre and 300 metre. Express its area in hectares.
12.  In the annual examination Rony and Panna respectively obtained  and  portion of  the total marks. Rony obtained 50 marks more than Panna. What were the total marks and  who obtained what marks?
13.  a. Write down definition with figure(Any two: 2 x 3 = 6)
      i. Parallelogram             ii. Rectangle                              c. Square
            b. Draw visually a parallelogram whose two adjacent sides have lengths   4 cm and 3        cm. Measure the lengths of the opposite sides, and each       pair of opposite angles. Draw     the two diagonals of the parallelogram    and measure the lengths of the four segments       of the two diagonals made          by their point of intersection.





























Adventist International Mission School
(English Medium/Version) Since – 1996,
Second Term Examination-2013
Standard V, Sub: Elementary Mathematic,
Marks: 100 Times: 2 Hours Date: 6 October 2013, 2013

(Answer the question any ten include 1, 2, 3 and 13)

01.  Multiple choice Question
i.                    How many cubic centimeters are there in 7789 litres?
      a. 7789                        b. 778900        c. 7789000      d.7.789
ii.                  1 metric ton =?
      a. 100 quintal    b. 100 kg         c. 1000 kg        d. 10 kg
iii.                Evaluate : 15% of 80 Km
      a. 12                b. 12 Km         c. 120Km         d. 1.20
iv.                Percentage profit is calculated on the basis of the __
      a. cost price      b. sell price       c. principal        d. profit
v.                  0.027 ÷ 18 =?
      a. 0.015           b. 0.0015         c. 0.486           d. 01.12          
vi.                1.8 x 0.18 x 0.8 x 0.01 =?
      a. 0.002592     b. 0.02592       c. 2.59200       d. 25.0124
vii.              What is the G.C.D of 48, 72 and 168?
      a. 20                b. 48                c. 24                d. 168
viii.            Convert this into improper fraction 40
      a. 391              b. 125              c.              d.
ix.                Of is the tantamount of ______?
      a. Addition       b. Subtraction   c. Division        d. Multiplication
x.                  Evaluate :
      a.                 b.                 c.                d.


02.  Short Question
i.                    In a division problem dividend is 28087, the divisor is 264 and the remainder is 103. What is the quotient?
ii.                  Simplify: 78 – [56 + {165 – (48 ÷ 6 x 9) x 2}]
iii.                Write down the relation symbol with one example.
iv.                Fill in the gaps:
                                    5   1     0
                                       
                        ────────
                                4  5   9    0          
                                0    0
                        5  7   0     0
                      ─────────
                        3 6  1  5     0           
v.                  Find the product by Easy method: 5010 x 358
vi.                Divided 75850 by 37
vii.              Dividend is 35792, divisor is 47 and remainder is 25. What is the quotient?
viii.            Find area of the triangular region when base 44 m and height 40 m 40 cm
ix.                Divide: 82 kilometre 7 hectometre 6 decametre 4 metre by 9
x.                  Express in Kilogram: 98 kilogram 76 gram 54 centigram 3 milligram
03.  Creative: From a departmental store Zahidul Hasan bought 40 kg of rice, Soyabean oil for 265 taka and fish for 588 taka. Each kg of rice costs 18 taka. He gave 2000 taka to the cashier.
a.       How much money he need of rice?
b.      If one litre Soyabean cost is Tk. 53 then how many Soyabean oil for given Taka.
c.       One dozen Hilsha fish is Tk. 4136 then what the cost of 7 Hilsha fish is.
d.      What amount will the cashier refund him?
e.       If Mr. Zahidul Hasan spend for marketing as 7 days he need how many money?
04.  Proma, Rimi and Monisha made 70 flags to decorate the school on Victory Day. It was found that Proma had made 5 more flags than Rimi, again Monisha had 6 more flags than Proma. How many flags did each one of them make?


05.  In a test series of five cricket matches, the average of the runs made by six batsmen of the visiting team was 76; the average of the runs made by four bowlers was 21. What average run did those players make in that series?
06.  Two drums have capacity 228 litres and 348 litres respectively. A bucket of what largest capacity can be used to fill up the two drums with water using the bucket (to its) full capacity an integral number of times? Which drum will hold how many buckets of water?
07.  Mr. Matin bought a bicycle with portion of his money. He then bought a radio at  portion of the cost of the bicycle and distributed the remaining money equally between his two daughters. Each daughter got 300 taka. How much money did Mr. Matin have?
08.  0 15 portion of a bamboo is in mud, 0 65 portion is in water. The length of the bamboo above water is 4 metre; what is the length of the bamboo as a whole?
09.  Interest for how many years on 300 taka at 5% per annum will be 60 taka?
10.  A drum can store 53 kg 9 hg 8 dg 7 gram of flour. How much flour can be stored in 9 such drums.
11.  The measures of the base and height of a triangular land are 560 metre and 300 metre. Express its area in hectares.
12.  In the annual examination Rony and Panna respectively obtained  and  portion of  the total marks. Rony obtained 50 marks more than Panna. What were the total marks and  who obtained what marks?
13.  a. Write down definition with figure(Any two: 2 x 3 = 6)
      i. Parallelogram             ii. Rectangle                              c. Square
            b. Draw visually a parallelogram whose two adjacent sides have lengths   4 cm and 3        cm. Measure the lengths of the opposite sides, and each       pair of opposite angles. Draw     the two diagonals of the parallelogram    and measure the lengths of the four segments       of the two diagonals made          by their point of intersection.





D.  Statistics:10
(Any Two; 5 X2=10)

22. The marks obtained by 25 students in the annual examination are given below
          72, 85, 78, 84, 78, 75, 69, 67, 88, 80, 74, 77, 79, 69, 74, 73,       83, 65, 75, 69, 63, 75, 86, 66, 71.
          a. Make the frequency distribution table with 5 as class       interval and find the arithmetic mean from the table.
          b. Show the difference between the arithmetic means found          in two different ways.

23. Weekly savings (in taka) of 40 house wives are as follows: 155, 173, 166, 143, 168, 160, 156, 146, 162, 158, 159, 148, 150, 147, 132,156, 140, 155, 145, 135, 151141, 149, 169, 140, 125, 122, 140, 137, 175, 145, 150, 164, 142, 156, 152, 146, 148, 157, 167.
     Find the arithmetic mean, median and mode of weekly        savings.

24. The favorite fruits of 200 students are given in the table. Draw a pie-chart:
Fruit
Mango
Jackfruit
Lichi
Jambolic
Frequency
70
30
80
20











Adventist International Mission School
(English Medium/Version) Since – 1996,
Model Test-2013
Standards VIII, Sub: Mathematics
      Time: 3 Hours,     Date: October 06, 2013         Marks: 100

A. Arithmetic: 24

01.  Is there any similarity in the following number-patterns? Find the next number in :each of the following lists a 1, 1, 2, 3, 5, 8, 13

Any Two (6 x 2 = 12)

02.  The profit-principal for a certain period of time is Tk. 5600 and the profit is  of the principal. If the percentage of profit is Tk. 8, find the time.
03.  How much money will become Tk. 10200 as profit-principal in 4 years at the same rate of profit at which Tk. 6500 becomes Tk. 8840 as profit-principal in 4 years?

04.  . Present population of a city is 80 lac. If the growth rate of population of that city is 30 per thousand, what will be the population of the city after 3 years?

Any One (6 x 1 = 6)

05.  There are two crosswise roads of breadth 1.5 metres just in the middle of a field of length 40 metres and breadth 30 metres. What is the area of the two roads?

06.  Around inside a rectangular garden of length 80 metres and breadth 60 metres, there is a road of breadth 4 metres. How much money would be spent to construct that road at Tk. 7.25 per square metre?



B. Algebra:  30

Any Two (6 x 2 = 12)
07.  If m + = 2, prove that, m4 + = 2
08.  Resolve into factors:a3 – 3a2b + 3ab2 -2b3

09.  Find the L.C.M of a3 + b3, (a + b)3, (a2 – b2)2 and (a2 – ab + b2)2

Mark (1 x 6 = 6)
10.  Simplify:

Any One (6 X 1 = 6)

11.  Solve using the method of elimination
                  x + y = a – b
                  ax – by = a2 + b2
     
12.  If we add 7 with the numerator of a fraction, the fraction will be 2 and if we subtract 2 from the denominator, the fraction will be 1. Find the fraction.

Any One (6 X 1 = 6)

13.  In a hostel, 65% of the students like fish, 55% of the students like meat and 40% of the students like both.

a.       Express the stated information by Venn diagram with short explanation.
b.      Find out the number of students who dislike both dishes.

14.  Find out the set of the natural numbers by which if 171 and 396 are divided, in each case 21 remains as remainder.


C. Geometry: 36

Any Two (6 x 2 = 12)

15.  Chords equidistant from the centre of a circle are equal.
16.  If the square of a side of any triangle is equal to the sum of the squares of other two sides, the angle between the latter two sides is a right angle.

17.  Two diagonals of a rhombus bisect each other at right angles.

Answer Two (2 x 5 = 10)

18.  To construct a quadrilateral when two adjacent sides and triangles are given.

19.  To construct a quadrilateral when three sides and two diagonals are given.

Any One (6 x 1= 6)

20.  Prove that, the quadrilateral formed by joining the mid-points of adjacent sides of a rectangle is a rhombus In ABC, D and E are respectively the midpoints of AB and AC. Prove that region
                  ADE =  (    ∆ region ABC).
Mark (1 X 6= 6)

21.  The lengths of two diagonals are given. Construct the rhombus.




 

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