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প্রাথমিক শিক্ষা সমাপনি পরীক্ষা,গনিত suggestion for 2017

   Primary School Certificate Examination- 2017                                      Suggestion: Math
Written by : Mohammad Arif Mohiuddin         Phone: 01553516901         
1.     In a hostel there is food for 40 students for 20 days, 10 new students arrive. 
a.     How many days will the remaining food last for I student?
b.     How many days will the remaining food last for the total students? 
c.      If 18 students leave the hostel, how many days will the tor remaining food last for them?
d.     If one student needs Tk. 130 for food daily, what is the daily food expenditure of the new students?  
2.     14 persons need 56 kg rice in 1 week. After some days for increasing 8 people the weekly quantity of rice has increased.
a.     How much rice is needed in 1 day?
b.     How much rice is needed every week for 1 person? 
c.      What is the total number of people after increasing? 
d.     How much rice is needed weekly after increasing? 
e.      How much extra rice will be needed weekly? 
3.     The price of 1 dozen bananas is 36 taka, the price of 2 hali eggs is 50 taka and price of 1 pencil is 5 taka.
a.     What is the price of I banana? 
b.     What is the price of 12 pencils? 
c.      The price of 12 pencils is more than the price of 2 hali eggs by what amount? 
d.     What is the price of 3 hali eggs?
e.      What is the total price of 1 dozen of bananas, eggs and pencils?
4.     200 workers are needed to dig a pond in 1 days and 5 masons are needed to make the stairs of tt pond in 3 days after digging.
a.     How many workers are needed to dig the pond in 1day?
b.     How many workers are needed to dig the pond in days?
c.      How many extra workers are needed to dig the pond 10 days?
d.     How many masons are needed to make the stairs in 1 day?
e.      How many people and days will be needed to dig pond and make the stairs?
5.     Rina and Mina have respectively 3486 and 3900 taka. Rina buys 1162 lychees with her money and Mina buys some oranges at the rate of 10 taka each with her money.
a.     What amount of money do they have together?
b.     What amount of money Mina has more than Rina?
c.      What is the price of each lychee?
d.     How many oranges does Mina buy?
e.      What is the total price of 20 lychees and 5 oranges?
6.     The sum of present ages of a father and son is 60 years. Father's age is three times of the age of the son.
a.     The sum of the present age of the father and the son how many times the present age of the son?
b.     What is the present age of the son?
c.      What is the difference between the present age father and son?
d.     What will be the age of the father and son after 15 years?
e.      After 15 years, father's age will be how many times the age of the son?
7.     The sum of four numbers is 83200. The 1st two numbers are respectively 11200 and 12400. The 3rd number is 1000 more than the 2nd number.
a.     What is the third number?
b.     What is the sum of the three numbers?
c.      Determine the 4th number?
d.     By multiplying what with the 2nd number it becomes the 4th number?
e.      Four times of the 3rd number is how much more than the sum of the four numbers?
8.     14. In a hostel 500 students have enough food for 50 days. After 10 days 300 more students joined the hostel. In this case there is a shortage of food for few days.
a.     What is total number of students of that hostel after 10 days?
b.     How many days’ worth of food would have remained in the hostel after 10 days?
c.      How many days will the remaining food last for 1 student?
d.     How many days will the remaining food last for the total students?
e.      How many days of food shortage will there be?
9.     Proma, Rimi and Sima make total 52 flags in 4 days. Proma makes 4 flags more than Rimi and Sima makes 8 flags more than Proma. The number of Rimi’s flag is 12.
a.     How many flags does Sima make more than Rimi?
b.     The number of flags of Sima is how many times the number of flags of Rimi?
c.      If the price of each flag is 12 taka, what amount will everyone get by selling flag?
d.     How many flags did everyone make in a day?
e.      How many total flags can they make in a week? 
10.                        Monthly salary of Farida is 15000 taka. Fatema's salary is half of Farida's salary. They spend half of their salary for household work.
a.     What is their total salary?
b.     How much does each spend in household work?
c.      For household work, what amount does Farida than Fatima?
d.     What is their yearly income?
e.      Find their total income for 4 months.
11.                        Summation of four numbers is 468520. First two numbers are 73584 and 64209.
a.     If  the 3rd number is 9485 less from the 1st number. What is the  3rd number?
b.     What is the summation of 1st three numbers?
c.      What is the 4th number?
d.     The 4th number is how much more from the 3rd number?
e.      If four times a number is equal to the summation the four numbers mentioned above, what is the number?
12.                        Price of 2 cows and 3 goats together is 25080. If price of a goat is 3560.
a.     What is the value of 3 goats?
b.     What is the value of I cow?
c.      Price of 1 goat is how much more than price of 1 cow?
d.     What is the price of 2 goats and 3 cows together?
e.      What is the difference between the price of 6 goats and 3 cows?
13.                        The average age of three children and their father is 15 years. The average age of these children and their mother is 13 years. The age of father is 36 years.
a.     What is the sum of ages of the children including the age of father?
b.     What is the average of the ages of children?
c.       What is the mother's age?
d.     What will be the average of the age of father and mother after 3 years?
14.                        Average age of Apu and Dipu is 22 years.Average age Dipu and Topu is 24 years.Age of Apu is 21 years.
a.     What is the total age of Apu and Dipu?
b.     What is the total age of Dipu and Topu?
c.      What is the age of Dipu?
d.     What is the total age of Apu,Dipu and Topu?
e.      What is the average age of them?
15.                        The sum of eleven numbers is 660. The average of first five numbers is 55 and the average of last five numbers is 68.
a.     What is the average of eleven numbers?
b.     What is the sum of the last five numbers?
c.      The sum of the last five numbers is how much more than the sum of the first five numbers?
d.     What is the 6th number?
16.                        Polash Mia get 79600 gm paddy from his paddy field and 476 kg pulse from pulse field.
a.     Express the quantity of paddy in kg.
b.     Express the quantity of pulse in quintal.
c.      How many kgs of rice are there in 8 drums?
d.     What is the weight of rice and pulse altogether in quintal?
17.                        Roni travelled 12 km 5 hm. 1 metre and Joni avelled 9 km. 8 hm. 8 metre path by riding bicycle.
a.     Express 12 km. in metre.
b.     What more distance did Roni overcome in 1 hour than 2 Joni?
c.      Express the travelled path of Roni in metre.
d.     What distance will Joni cross in 5 hours?
18.                        The area of a triangular land is 17088 sq. metre. Measure of the base is 200 metre.
a.     If the base of triangular land is equal to the length of one side of a square, what will be the area of the square?
b.     What is the height of the triangular land?
c.      What will be the area of the garden by considering the base and height of triangular land as the length and breadth of a rectangular garden?
d.     If we consider the height is 152 metre by keeping the measure of the base of triangular land unchanged, what will be the area of triangular land?
19.                        Measure of the base and height of a triangular land are 26 metre and 16 metre respectively. Area of a rectangular land is two times of the area of triangular land.
a.     If we consider the base of triangular land as one side of a square, what will be the area of the square land?
b.     Express the area of the square land in hector.
c.      What is the area of triangular land?
d.     What is the area of rectangular land? 
20.                        The length and breadth of a rectangular gardd are 15m and 7m respectively.
a.     Express the length and breadth in centimeter.
b.     How many square centimeters is the area of rectangular garden?
c.      If the breadth is 12 cm by keeping the length ofrectengula garden unchanged, what is the area in sq.cm?
d.     If the length of the garden is equal to the length of one side of a square, what is the area of the square in sq.metre?
21.                        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?
22.                        The length of a retangular hallroom is 12 metre and breadth is7 metre. What is the largest size of tiles of square shape which can be used to pave the floor of the room, so that no tile needs to be broken?
23.                        Four bells having tolled together began to toll after every 5, 7, 12 and 15 minutes. After what minimum time will the bells tolls together again?
24.                        A number of saplings is such that when 3, 5, 6, 8, 10 or 15 saplings are planted in each row, every time two saplings are left out. What is the minimum number of saplings?
25.                        7 added to which smallest number will make the sum exactly divisible by 15, 18, 20, 24 and 32 ?
26.                        Which smallest number leaves in each case the reminder 6 when it is divided by 16, 24, 32, 40 ?
27.                        Find the values of the literal symbols.
a.     17 − 2z = 3z + 2
b.     13z − 5 = 3− 2z
c.      2(x + 3) = 10
d.     5x − 3 = 2x + 3
e.      2(5 + x) = 16.
f.       4y − 5 = 2y −1.
g.     2x +1= 5x – 8
h.    
i.       (x+6)÷3=12
j.       (x ÷5)×5=75 ÷(3×5)
28.                        Anu had some chocolates. He gave five chocolates to Nilu. As a result Anu was left with seven chocolates.
29.                        Doubling the age of Sion and adding 5 years to it makes the sum equal to 25 years.
30.                        Mou had some money . Her mother gave her one hundred taka more. As a result her amount of money became fifteen taka more than twice her previous amount.
31.                        Javed, Shoumik and Mouli got respectively portion,  portion and  portion of a basket of oranges. Who got the largest share of the oranges?
32.                        Mr. Rafiq out of his 3 bighas of land cultivated marigold on 2 bighas and tuberose on half of the remaining land. On how much bigha of land did he cultivate tuberose?
33.                        Portion of a bamboo is in mud, portion is in water and the remaining portion is above water. What portion is above water?
34.                        Mr. Hanif gave away his property to his wife, one son and two daughters. The son got portion and each daughter got portion. What portion did the his wife get ?
35.                        5  metre of a 10 metre long white tape was coloured blue and 4 metre was coloured red. What length of the tape remained white?
36.                        Mr. Habib kept portion of his property for himself and divided the rest of the property equally between his two children. What portion of the property did each child get?
37.                        Sister's age is portion of brother's age. The brother's age is 15 years; what is the sister's age ?
38.                        The product of two numbers is 10  . One number is 2  ; what is the other number?
39.                        Portion of a pole is in mud, portion is in water and the remaining portion is above water.The length of the portion above water is 2 metre; what is the length of the portion in water?
40.                        In the annual examination Rony and Panna respectively obtained the total marks. Rony obtained 50 marks more than Panna. What were the total marks and who obtained what marks?
41.                        Mr. Kamal spends  portion of his monthly income on house rent,  portion on educational expenses for his children and money he deposits in a bank. At the end of the year the bank deposit amounted to 14400 taka. What is his monthly income?
42.                        Urmi and Moumi respectively took 0.5 and 0.4 portion of one kuri of lychees. How many lychees did each get ?
43.                        One kuri of eggs cost 160 taka. Molly bought 0.8 kuri and Rumi bought 0.5 kuri of eggs.Who bought how many eggs and how much did each of them pay ?
44.                        Mr. Sayeed pays 0.15 portion of his monthly pay as income tax. He spends 0.8 portion of the remaining money in family maintenance; he saves the residual money. He saves 1020 taka per month; what is his monthly pay?
45.                        0.15 portion of a bamboo is in mud, 0.65 portions is in water. The length of the bamboo above water is 4 meter; what is the length of the bamboo as a whole?
46.                        Every one of 40 students contributed 12.75 taka. The money thus raised was divided equally among 8 poor persons. What money did each poor person get?
47.                        A teacher bought oranges for 393.90 taka, costing 60.60 taka per dozen, and divided them equally among 13 students. How many oranges did each student get?
48.                        Increasing by 5% the population of Birampur village became 2100. What was the previous population of the village ?
49.                        Increasing by 4 percent the population of Chandanpur village became 1040 persons. What was the previous population of that village ?
50.                        In 1981 the population of Bangladesh was 9 crore and in 1982 it was 9 crore 27 lac. What was the percentage rate of increase of population in 1982 ?
51.                        The cost price of a trouser is 250 taka. At what price must it be sold to make 20% profit ?
52.                        A person sold a goat at 6% loss. The selling price was 3196 taka; what was the cost price?
53.                        Apples bought for 800 taka were sold at 4% profit. What was the total amount of profit in taka ?
54.                        Annual percent rate of interest being 5 taka, what is the interest on 900 taka for 3 years ?
55.                        The profit for 3 years on 600 taka is 144 taka. Find the annual rate of interest?
56.                        Out of 598 kg of potatoes Latif Miah sold 127 kg 256 gram to Malek, 134 kg 125 gram to Khaleq and 89 kg 348 gram to Liton . What amount of potatoes remained with him ?
57.                        A drum can store 53 kg 9 hg 8 dg 7 gram of flour. How much flour can be stored in 9 such drums ?
58.                        Convert 89765 hours into year, month and days .
59.                        How many years, months, days and hours are there in 87450 minutes ?
60.                        Convert 5 days 8 hours 15 minutes into seconds.

61.                        The marks obtained in Bangla by 25 students are given below :
75 68 74 66 80 65 75 67 86 75 68 82 88 84 72 66 85 73 76 78 67 79 86 82 84.
Arrange the data in classes, taking 5 as class difference.
62.                        The number of absentee students of a classs on the days of the last week are given below.Draw a bar graph based on the data.
Days of the week
Sat
Sun
Mon
Tue
Wed
Thu
Number of absentee students
2
3
5
4
4
6

63.                        Define the following with diagram.
a)     Quadrilateral
b)    Square
c)     Rhombus
d)    Radius
e)     Diameter
f)      Chord
64.                        Draw a rectangle which length is 6 cm and breadth is 4cm.
65.                        Draw a circle which diameter is 6 cm.






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