Acme Mathematics-4 2517. The marks obtained by Rijan out of 50 in different subjects are given below.Subjects Nepali English Science MathsMarks 20 38 43 45(a) Which axis is called horizontal line in the bar diagram.(b) Construct a bar diagram of given table.8. Study the given table and answer the question given below.SN Items Cost per piece Cost with sales tax1 Copy Rs. 125 Rs. 1482 Book Rs. 425 Rs. 5003. Pen Rs. 65 Rs. 734. Eraser Rs. 7 Rs. 7.80(a) How much money is to pay to by 25 books.(b) How much money is needed to buy 300 copies and 5 pens?(c) If Nisha buy all the items 1 piece each how much tax should she pay?9. There was short-trip of class - 4 from Sun Rise School to 'Sauraha'. There were 120 students. Their income and expenditure is as follows.Incomes ExpenditureHeading Amount( Rs.)Heading Amount( Rs.)Collection from students 12000 Tea and snacks 9000From School 5400 Fuel (Diesel) 1500Water 1800Museum ticket 1200Chat-Pate 800Cold drinks 2500(a) How much money is for ticket?
252 Acme Mathematics-4(b) Is there any saving? If yes, how much saving is there?(c) If saving money is return to each student equally, calculate the amount of money expended by each students.10. Number of students of Om Shanti Academy is given below. Study this bar graph and answer the questions given below.1 2 3 4 52232243426362838304042Number of StudentsClasses(a) In which classes there is least number of students and greatest number of students?(b) How many students altogether are there in the school?(c) Write down the member of students in each class?(d) Which classes have on equal number of students?(e) How many new students are to be admitted to make a total of 300 students?(f) How many new students are to be enrolled in class 3 to make the number of students equal to class 1?
Acme Mathematics-4 253EvaluationTime: 60 minutes Full Marks: 251. Read the bill below carefully and answer the following questions. Aryal Book Shop Pokhara PAN..................Bill No: 356201 Date: 2082/09/05 Buyer : Mr. Bikash Bhatta S.N. Description Quantity Rate (Rs.) Amount (Rs.) 1. English 2 300 600 2. Mathematics 1 270 270 3. Nepali 3 280 840 4. Science 2 320 640 Total 2350 In words: Two thousand three hundred and fifty rupees only. Seller ......................(a) What is the name of buyer ? [1] (b) How much is the total bill ? [1] (c) Out of Math and English books, which one is expensive ? By how much ? [1] 2. Answer the to questions with the help of the given bar diagram.(a) Which is the most popular fruit? [1] (b) Which is the less popular fruit ? [1] (c) How many students like banana? [1] Mango Apple Orange Banana2232243426362838304042Number of Students
254 Acme Mathematics-43. The table given below shows number of class-4 students like the different subjects.Subject English Maths Nepali Science No. of students 12 15 8 7 (a) Draw a bar graph to represent this information. [2] (b) Find the total number of students. [1] 4. Answer the following question using the given bill. Paragon Books and Stationary Khairahani -8 Parsa, Chitwan PAN:102030405Bill No.: 514 Mrs. Suntali Maya Rai Address: Khairahani-09S.N. Particular Qty Rate Amount(Rs) Remark1 Acme math 2 400 8002 Copy 6 100 6003 Pencil 5 10 504 Geometry box 1 150 150Total 1600In Words: One thousand six hundred rupees only. (a) What is the name of the shop ? [1] (b) What is the total amount in the bill. [1] 5. Read the following bill and answer the given questions.Jal Krisi FarmDhus HitiBill No: 00023 PAN : 103690222Date: 2082/06/01Buyer: Samrat Bastakoti Address: Bharatpur-9S.N Discription Amount Rate(Rs) Total Amount1 Kauli 5 kg 50 2502 Golbheda 2 kg 40 803 Kankro 6 kg 35 2104 Pharsi 3 kg 40 120Date: 2082/09/05
Acme Mathematics-4 2555 Ghiraunla 4 kg 45 180Total 840In word : Eight hundred and forty rupees only.(a) Which is the cheapest vegetable ? [1](b) Which vegetable is most expensive ? [1](c) If he gave Rs.1000 note, how much money did he get return back ?[2] 6. The following information shows the amount which was allocated for picnic by 30 students of class 4 from Namuna Secondary School.Income ExpenditureCollection from students 15,000 Food 15,000Grant from school 5,000 Transportation 4,000Music 2,000Drinks 3,000Miscellaneous 1,000Total Income 20,000 Total Expenditure 17,000(a) How much money is allocated in transportation ? [1](b) Find the money saved from the picnic ? [1](c) The saving money from the picnic was return to the students equally then, find the expenses of each student in picnic ? [1]7. Observe the bar diagram given below and answer the question. (a) Which class has the least number of students? [1](b) Which class has the most number of students ? [1](c) How many students are there from class 1 to 5 ? [1]1 2 3 4 552010251530Number of StudentsClasses
256 Acme Mathematics-48. Read the price list of different items in a stationery store. Items Price (rate in Rs.)Acme Maths- 4 Rs.423 Geometry box Rs.100 Pencil Rs.10 Drawing copy Rs.50 Answer the following question. (a) Which is the most expensive item? [1] (b) What is the cost of 5 pencils? [1] (c) Which item costs Rs 50 rupeses? [1] (d) Which two items cost Rs 150 rupeses? [1]
Acme Mathematics-4 257ALGEBRA CHAPTER5Study the given chart and fill in the box.1 2 3 a 5 b c 8 d e11 f g 14 h 16 17 i 19 2021 j 23 k 25 26 l 28 m 3031 32 n 34 35 o 37 p 39 4041 42 43 q r 46 s t 49 50a b c d ef g h i jk l m n op q r s tActivity
258 Acme Mathematics-45.1 Box Notation and its valueA. Addition Look at the following examples and try to understand:6 + 2 = 8+ 2 = 8gives,= 6+ 10 = 13 gives = 3x + 10 = 13 gives x = 315 + = 20 gives = 515 + x = 20 gives x = 55 is called the value of x. x is English letter.x + 19 = 20Gives, x = 120 + x = 30Gives, x = 10Exercise 5.11. Complete the following:(a) + 4 = 117 + = 11 (b) + 4 = 3010 + = 30(c) 9 + = 16+ 7 = 16(d) 10 + = 15+ 5 = 15(e) + 9 = 13 (f) 7 + = 17(g) 20 + = 33 (h) + 19 = 30I know how to solve!Subtracting 20 – 19 we get 1.
Acme Mathematics-4 2592. Replace x by a number:(a) 5 + 4 = 9x + 4 = 9x = 5(b) 9 + 12 = 21x + 12 = 21....................(c) 13 + 12 = 25x + 12 = 25....................(d) 20 + 10 = 30x + 10 = 30....................(e) 15 + 5 = 2015 + x = 20....................(f) 14 + 9 = 2314 + x = 23....................(g) x + 15 = 3015 + 15 = 30....................(h) 22 + x = 3522 + 13 = 35....................3. Balance the given statements.6 + 4 = 3 + ......2 + 3 = 2 + ......4 + 5 = 6 + ......5 + 3 = 2 + ......8 + 2 = 1 + ......4 + 8 = 5 + ......8 + 3 = 9 + ......3 + 6 = 4 + ......9 + 3 = 7 + ......(a)(g) (h) (i)(d) (e) (f)(b) (c)
260 Acme Mathematics-44. Write the following mathematical Statement in box notation. (a) Susmira had some books. Her friend gave 6 more books and she had 15 books now. (b) Mr. Bhandari had 7 bags. Ratna added more some bags and he had now 16 bags. (c) Nirab had some erasers. His friend gave 17 more erasers. He had 20 erasers. (d) What should be added to 3 to make result 12 ? (e) What is there if 13 is added to 14 ?(f) What added to what, becomes 21? (g) Write the correct number in the box in question number (a), (b) , (c), (d), (e) and (f).B. SubtractionLook at the following examples and try to understand:6 – 2 = 4– 2 = 46 – = 4gives,= 6 and = 2– 10 = 3 gives = 1313 – x = 3 gives x = 1015 – = 10, gives = 515 – x = 10, gives x = 5 5 is called the value of x.x – 19 = 1Gives, x = 2020 – x = 10Gives, x = 10Similarly,b – 2 = 6Gives, b = 8I know how to solve.Subtracting 19 from 20 we get 1.
Acme Mathematics-4 261Exercise 5.21. Complete the following:(a) – 4 = 711 – = 7 (b) – 20 = 1030 – = 10(c) 16 – = 7– 9 = 7(d) 15 – = 10– 5 = 10(e) – 9 = 4 (f) 17 – = 10(g) 20 – = 12 (h) – 19 = 302. Replace x by a number:(a) 9 – 4 = 5x – 4 = 5x = 9(b) 14 – 9 = 5x – 9 = 5..................(c) 25 – 12 = 13x – 12 = 13..................(d) 20 – 10 = 10x – 10 = 30..................(e) 20 – 5 = 1520 – x = 15..................(f) 14 – 9 = 514 – x = 5..................(g) x – 15 = 30..................(h) 22 – x = 15..................3. Use the numbers in the box to balance the score.– –2 4 5 3– –6 5 3 4(a) (b)
262 Acme Mathematics-4– – – –1 4 7 4 3 6 7 44. Write the following mathematical Statement in box notation. (a) Susmira had some books. Her friend took 6 books and she had 15 books now. (b) Mrs. Bhandari had 17 bags. Ratna took some bags and she had now 16 bags. (c) Nirmal had some erasers. His friend borrowed 17 erasers. He had 20 erasers. (d) What should be subtracted from 31 to make result 12 ? (e) What is there if 13 is subtracted from 41 ?(f) What subtracted to what, becomes 21? (g) Write the correct number in the box in question number (a), (b) , (c), (d), (e) and (f). C. MultipicationLook at the following examples and try to understand:6 × 2 = 12 × 2 = 12 gives, = 6 × 10 = 30 gives, = 3 Similarly,2 × x = 20 , gives x = 1015 × = 30, gives = 2 15 × x = 60 , gives x = 4 4 is called the value of x. x is a variable.19 × x = 38 Gives, x = 2 andy × 10 = 30 Gives, y = 3(c) (d)
Acme Mathematics-4 263Exercise 5.31. Complete the following: (a) × 4 = 44 11 × ...... = 44 (b) ..... × 4 = 60 15 × ....... = 60 (c) 9 × ...... = 63 ...... × 7 = 63 (d) 10 × ...... = 50 ...... × 5 = 50 (e) ...... × 9 = 90 (f) 7 × ...... = 77 (g) 20 × ...... = 100 (h) ...... × 19 = 190 2. Replace 'x' by a number: (a) 5 × 4 = 20 x × 4 = 20 x = 5 (b) 9 × 12 = 108 x × 12 = 108 .................... (c) 13 × 12 = 156 x × 12 = 156 .................... (d) 20 × 10 = 200 x × 10 = 200 .................... (e) 15 × 5 = 75 15 × x = 75 .................... (f) 14 × 9 = 126 14 × x = 126 .................... (g) x × 15 = 225 15 × 15 = 225 .................... (h) 22 × x = 286 22 × 13 = 286 .................... 3. Balance the following.(a) (b)(c) (d)6 × 4 = 3 × .................. × 4 = 3 × 16 ...... × 5 = 3 × 2510 × 3 = 2 × ............
264 Acme Mathematics-4(e) (f)(g) (h)4. Solve the following problems using box notation. (a) What should be multiplied by 4 to make the result 20? (b) 9 books are kept in each bag. How many bags will be there for 56 books? (c) 12 pens are kept in pen-holder. How many pen-holder are needed to kept 96 pens? (d) 40 students are kept in one room. How many rooms are needed for 360 students? (e) From a packet of chocolates, 12 chocolates are taken out at a time. All chocolates are taken out at 9 times. How many chocolates were there in the packet? (f) Archna's father gave her Rs 150 to have a 'Nasta'. The amount for 'nasta' is Rs 110 per day. How much money she needed for a week? 5. Convert to box rotation problems: 8 × 5 = 40. 16 × ...... = 8 × 8 20 × ...... = 5 × 1610 × ...... = ...... × 25 ...... × 15 = ...... × 30
Acme Mathematics-4 265D. DivisionLook at the following examples and try to understand: 16 ÷ 2 = 8 ÷ 2 = 8 gives, = 16 ÷ 10 = 3 gives, = 30Similarly,20 ÷ x = 20 , gives x = 115 ÷ = 3, gives = 5 60 ÷ x = 15 , gives x = 4 4 is called the value of x. x is a variable.38 ÷ x = 19 Gives, x = 2 andy ÷ 10 = 3 Gives, y = 30Exercise 5.41. Complete the following: (a) ...... ÷ 4 = 11 11 × ...... = 44 (b) ..... ÷ 15 = 4 15 × ....... = 60 (c) 63 ÷ ...... = 9 ...... × 7 = 63 (d) 50 ÷ ...... = 10 ...... × 5 = 50 (e) ...... ÷ 9 = 10 (f) 77 ÷ ...... = 7 (g) 20 ÷ ...... = 10 (h) ...... ÷ 12 = 8 2. Replace 'x' by a number: (a) 20 ÷ 4 = 5 x ÷ 4 = 5 x = 20 (b) 108 ÷ 12 = 9 x ÷ 12 = 9 .................... (c) 156 ÷ 12 = 13 x ÷ 12 = 13 .................... (d) 200 ÷ 10 = 20 x ÷ 10 = 20 .................... (e) (f)(g) (h)4. Solve the following problems using box notation. (a) What should be multiplied by 4 to make the result 20? (b) 9 books are kept in each bag. How many bags will be there for 56 books? (c) 12 pens are kept in pen-holder. How many pen-holder are needed to kept 96 pens? (d) 40 students are kept in one room. How many rooms are needed for 360 students? (e) From a packet of chocolates, 12 chocolates are taken out at a time. All chocolates are taken out at 9 times. How many chocolates were there in the packet? (f) Archna's father gave her Rs 150 to have a 'Nasta'. The amount for 'nasta' is Rs 110 per day. How much money she needed for a week? 5. Convert to box rotation problems: 8 × 5 = 40.
266 Acme Mathematics-4(e) 75 ÷ 5 = 15 75 ÷ x = 15 .................... (f) 126 ÷ 9 = 14 126 ÷ x = 14 .................... (g) x ÷ 15 = 15 225 ÷ 15 = 15 .................... (h) 286 ÷ x = 22 286 ÷ 13 = 22 .................... 3. Balance the following.(a) (b)(c) (d)(e) (f)(g) (h)4. Solve the following problems using box notation. (a) What should be divided by 112 to make the quotient 28 ? (b) When 88 oranges are divided equally among 8 students, how many oranges will each get? (c) To how many women should 110 'Saries' be distributed equally so that each women gets 10 'Saries'? (d) 196 copies are distributed equally among 49 children. How many copies will each get? (e) From a box of 169 marbles, on distributing 13 marbles per person, How many persons must be there to distribute equally?5. Convert to box notation: 40 ÷ 5 = 8.16 ÷ 4 = 20 ÷ .............. ÷ 4 = 15 ÷ 116 ÷ ....... = 1 × 8....... ÷ 3 = 52 ÷ 4 ....... ÷ 8 = ...... × ...... 2 × ....... = 50 ÷ 25....... ÷ 5 = 40 ÷ 430 ÷ 3 = 20 ÷ .......
Acme Mathematics-4 267Study the given calendar.Discuss in your class and try to find the answer to the following questions.a. How many Monday are there?If 'x' represents the date of Monday what will be the value of 'x'?b. How many democracy days are there?If 'y' represents the date of democracy, what will be the value of 'y'?c. On what date is 'Mahashivaratri'?• Here 'x' represents the date of Monday. The dates are 5, 12, 19 and 26.• There is 1 democracy day. It is 7th day. • 'y' represents 7. Therefore y = 7• 14th Falgun is 'Mahashivaratri'.Here, the value of 'x is different. The value of 'x is more than one so, it is called variable.The value of 'y' is 7. The value of 'y' is only one. So, it is constant (fixed). 7 is constant.5.2 Variable and ConstantActivity-1
268 Acme Mathematics-4Discuss in the class.Find the value of 'x' in each case in the following conditions.a. The marks obtained by Bindu in Mathematics are from 10 to 15 in different examinations.The marks are : 10, 11, 12, 13, 14, 15if 'x' represents the marks, then x = 10, 11, 12, 13, 14, 15b. Arjun obtained 1 less marks than Bindu but not less than 11.If 'y' represents the marks, theny = 14, 13, 12, 11c. The marks obtained by Dhruba in 5-subjects are multiple of 6 and less than 34.if 'a' represents the marks, then a = 6, 12, 18, 24, 30In algebra we use letters in place of a number. The value of letters depends upon the condition.If the value of a letter is different in different cases, then the letter is called variable. If the value of letter is fixed or same, then it is called constant.In the above cases, the value of 'x' is different in different cases. So, 'x' is a variable. In general we use English alphabets to represent the variable. Numbers used in above cases are fixed. So, numbers are called 'constant'. So, 10, 11, 12, 13, 14, 15 etc. are constant.Example 1 : Study the given table and answer the given questions.Name of Students Dinesh Kisu Girisma Sanju SailiMarks 5 6 7 8 4a. If 'x' is the marks of boys students, what is the value of 'x'.b. If 'y' represents the marks obtained by girls, write the value of y. Is 'y' a variable?Solution: a. Here, Value of 'x' = 5b. Here, y = 4, 6, 7, 8Yes, 'y' is variable.Activity-2
Acme Mathematics-4 269Exercise 5.51. Look at the number line and fill in the blanks.0 1 2 x 4 5 6 y 8 9 z 11 12(a) x represents ....................(b) y represents ......................(c) z represents ......................(d) 3 is replaced by ...................(e) 7 is replaced by ......................(f) 10 is replaced by .................(g) x, y, z are called ......................(h) 3, 7, 10 are called ................2. Study the following and fill in the blanks.(a)There are x marbles.The value of x is ..................(b) There are y cups.The value of y is ..................(c) xxxxThere are ...................... x.(d) yyyyyyHow many y's?There are ...................... y's.3. Study the given number line and fill in the blanks.0 1 2 3 4 5 6 7 8 9 10(a) If 'x' represents the number less than 4, then 'x' is called ................
270 Acme Mathematics-4(b) 'y' represents the number more than 9, then 'y' is called ......................(c) 'z' represents the number between 6 and 8. The value of z is .............. .(d) 'x' represents the number divisible by 2. The value of x = .............(e) The number '5' is called .............. .4. Convert to the equation, taking 'x' as variable.(a) The sum of a number and 7 is 12.(b) The difference between 2 and a number is 1.(c) Three times a number added to 3 gives 15.(d) 5 is subtracted from the product of a number and 10 is 20.5. Study the number line.10 x 12(a) Write the value of x.(b) Is 11 variable?(c) What is constant?
Acme Mathematics-4 2715.3 Value of Unknown VariableLook at the examples carefully.7 + 8 = 15x + 8 = 15x = ?x + 8 = 157 + 8 = 15Now, x = ?Consider, x + 8 = 15.When, x = 1, 1 + 8 = 15 → Not true, x = 2, 2 + 8 = 15 → Not truex = 3, 3 + 8 = 15 → Not true, x = 4, 4 + 8 = 15 → Not truex = 5, 5 + 8 = 15 → Not true, x = 6, 6 + 8 = 15 → Not truex = 7, 7 + 8 = 15 → it is trueSo, x = 7Example 1 : Guess the value of x, when x + 3 = 7Solution : Here, x + 3 = 7Choose, x = 1, 2, 3, 4, 5, etc.Since, 4 + 3 = 7Value of x is 4Example 2 : Guess the value of y, when y – 3 = 8Solution : Here, y – 3 = 8Choose, y = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11Since, 11 – 3 = 8The value of y is 11.Example 3 : Guess the value of y, when 3y = 15Solution : Here, 3y = 15Choose, y = 1, 2, 3, 4, 5Since, 3 × 5 = 15The value of y is 5.15 – 8 = ?
272 Acme Mathematics-4Exercise 5.61. Guess the value of x:(a) x + 2 = 8, x = 6 (b) x + 3 = 11, x = ..............(c) x + 5 = 6, x = .............. (d) x + 6 = 6, x = ..............(e) x + 1 = 7, x = .............. (f) x + 10 = 12, x = ..............(g) x + 8 = 10, x = .............. (h) x + 2 = 4, x = ..............2. Find the value of y:(a) y – 2 = 5 (b) y – 3 = 27 – 2 = 5 – 3 = 2y = 7 y = ...........(c) y – 10 = 2 (d) y – 1 = 7– 10 = 2 – 1 = 7y = ........... y = ...........(e) y – 8 = 10 (f) y – 4 = 5– 8 = 10 – 4 = 5y = ........... y = ...........MATH FUN++ +–= 8= 614 2==
Acme Mathematics-4 2731. Write down the following statements in algebraic form.(a) The quotient when 'a' is divided by 'b'.(b) Rohit had 15 marbles. He lost 'x' marbles. How many marbles he has now?2. Write the word phrase for the following expressions.(a) + 3. (b) 3 × .3. If –7=12 then which is the value of given expression.(a) 18 (b) 19 (c) 84. Guess the value of 'x'.(a) x + 3 = 8 (b) 2× = 145. If + 3 =18, what is the value of ?(a) 12 (b) 15 (c) 216. What is the value of 'a' in algebraic equation 'a + 2 = 6'?(a) 2 (b) 6 (c) 47. Solve the following:(a) y – 22 = 15(b) What must be added to 19 to make it 27?(c) Perform 87 ÷ 5 and verify that :Divisor × Quotient + Remainder = Dividend.8. Find the value of 'a'.(a) a – 1 = 2or, a = .............(b) 3 + a = 10or, a = .............(c) 7a – 3a = 8Mixed Exercise
274 Acme Mathematics-4(d) Write the appropriate number in the given box.a + 5 = 11or, a = ..........9. Find the possible values of x and y where x < 4 and y < 3.xy10. Fill in the box. (Word, number or symbol)(a) 'y' represents the ages of your friends. 'y' is called .(b) 10 + 9 = .(c) 18 . 6 = 12.(d) × 7 = 70.(e) 30 5 = 6.11. 20 oranges were distributed equally among a group of students. Each students got 4 oranges.(a) Express in mathematical sentence and find the number of students.(b) If there were 6 students, how many orange should added to distribute equally?12. In which condition 'x' is a variable? (a) 'x' denotes the days of Sundays on \"Asoj.\". (b) 'x' denotes the date- 8th Asoj. (c) 'x' denotes the month \"Asoj of 2083\"13. 40 students of a Hostel-A got 2 'Samosa' each as 'Khaja'. (a) Write in box notation. (b) Find the total number of \"Samosa\". (c) The cost of a 'Samos' is Rs 25. what is total cost of \"Samosa'?(d) If 3 Students does not took \"Khaja\", how many 'Samosa' is left ?
Acme Mathematics-4 27514. 200 T-Shirt were distributed among 40 students equally in the class-4.(a) Write in box notation(b) Find the number of T-shirt each student's get? (c) If one new student join the class, how many \"T-Shirt' must be added?(d) If one T-Shirt cost Rs 1200, find the cost of T-Shirt, each student get. 15. Study the given number line and answer the given questions. 0 1 2 3 4 5 6 7 8 9 10 11 12(a) The value of 'x' is less then 8,(i) write the values of 'x'.(ii) Is 'x' a constant ? (iii) What is constant ?(b) The value of 'a' is odd numbers between 4 and 6. (i) Write the value of 'a'. (ii) Is 'a' variable?(iii) What is variable?16. Fill in the blanks. (a) 'x' represents the member of student in your class. 'x' is a .................(b) ......... + 20 = 30.(c) 15 − ...... = 8 (d) 20 ÷ 5 = .......(e) ............ × 2 = 50 17. Guess the value of y, when 4y = 16.
276 Acme Mathematics-4EvaluationTime: 67 minutes Full Marks: 281. Find the value of 'a'. (a) a + 3 = 8, a = ---------- [1] (b) a - 5 = 2, a = ---------- [1] (c) a + 2a = 6, a = ---------- [1] (d) 5 - a = 3, a = ------------ [1] (e) In which condition, 'a' is a variable ? Write the correct answer. [1] (i) ‘a’ denotes 10th Falgun. (ii) ‘a’ denotes Saturday of Falgun.(ii) ‘a’ denotes First day of Falgun. 2. If 32 Oranges are distributed to some people then each person received 4 oranges. (a) Write the mathematical sentences using box notation and find the number of people to whom the oranges distributed ? [2] (b) How many oranges should be added if each person received 6 oranges individually ? [1] 3. Complete the following boxes with suitable values or signs. (a) 5 + 3 = ........ [1] (b) ........ + 7 = 11 [1] (c) 13 – ........ = 8 [1] (d) ........ + 4 = 10 [1] (e) 10........ 5 = 2 [1] 4. (a) SolveM x+7=19 [2] (b) Express the following mathematical sentences in algebraic expression. [1] \"the sum of a and 5 \"
Acme Mathematics-4 2775. (a) x denotes seven days of week then x is called ....... [1](b) Fill in the blank by suitable word, number or symbol. [4×1=4](i) 8 + 5 = ............. (ii) .......+ 4 = 7 (iii) 15 –........... = 6 (iv) 25......5 = 56. If 25 apples are distributed to same people then each person receive 5 apples. (a) Write the mathematical sentence using box notation. [1](b) How many apples should be added if each person received 6 apples individually ? [1](b) Solve: 30×x = 6 [1] 7. (a) If a+b =7,then write down all possible values of 'a' and 'b'. [2] (b) Solve: m + 5 = 9 [2]= 10 = – 3=–++ =MATHCan You Solve It?++++++×= 15= 10= ?= 8
1. A line segment is given.(a) Construct 60º angle at the points A and B by using protractor. [2A](b) Write the relation between three angles and three sides of triangle ABC formed by intersecting the lines making angles at A and B. [2H]2. A Cuboid is given below(a) How many vertices are in Cuboid. [1K] (b) The point A is called vertex then what is called ED? [1U](c) Write the name of upper surface. [1U](d) Write the length of cuboid edge. [1A]3. Shreekrishna went to a car showroom. The price of the car which he wants to buy is Rs. 2025400(a) Write the place and place value of 5 in 2025400. [2U](b) Write the price of the car in digit according to national system by using comma. Also write in word. [2A]4. Sushil thought to goat rearing in his village. He has Rs. 35,750. His village municipality make a policy of agriculture grant up to Rs. 50,000. (a) Find out the total money which Sushil have including agriculture grant. [1A](b) Sushil spend Rs. 25854 for 6 goat kids and Rs. 42756 for built goat pen then, how much money does he have left? [2A](c) If Sushil wants add 4 more goat kids then, how much money he need more?[2HA]5. The figure in right side showed Pemba's mark secured in the first terminal exam.(a) Write the Pemba's marks in fraction. [1K](b) Write the Pemba's marks in decimal number. [1U](c) How much the percentage did Pemba receive inexam? [1U](d) Pemba's friend Rahaman receive the marks710 in fraction then, who receive more marks? Write with reason. [2H]A BA BCE DF GMathematicsModel QuestionTime – 2 hrs F.M. 50278 Acme Mathematics-4
6. (a) Write the rounding off the number 5446 in nearest ten. [1K] The carton shown in the figure has 45 soaps inside it.(b) Which mathematical operation is needed to find out the total number of soap in 345cartons? [1K](c) Find the total number of soaps in same 345 cartons [2A]7. Write the answer of the following questions.(a) How many months are there in a year? [1K](b) Convert 5 meter into centimeter. [1U](c) Convert 5000 milliliters into liter. The small box is 1 square centimeter in the given figure. [1U](d) Find the area and perimeter of given figure by counting the square boxes in length and breadth? [2A]8. Read the following table and answer the given questions. SN Particulars Price Price with tax1 Watch 5650 Rs. 6,384 and 50 paisa2 Mobile 15470 17,481 and 10 paisa3 Headphone 2500 Rs. 2825(a) How much money should pay including tax to buy 2 watches? [1A](b) How much money needed to buy 3 mobiles and one headphone with tax? [2A](c) If you bought one watch, one mobile and one headphone then how much money do you pay for tax in total? [2H]9. Information about the income and expenses of 50 students of Sarasowoti secondary school is given in the table below. Income ExpensesTitle Rs. Title Rs.Collection from studentsGrant from school40,00025,000FoodTransportationMusic systemDrinksMiscellaneous40,0009,500300050001500 Total 65000 59000LengthBreadthAcme Mathematics-4 279
(a) How much money allocated in transportation? [1K](b) Find the money saved from the picnic? [1A](c) The saving money from the picnic was return to the students equally then, find the expenses of each student in picnic? [1HA]10. Given bar diagram is prepared on the basis of information about the student’s enrollment of grade 1 to 5 of Shree Janta secondary school in academic year 2078. Observe the bar diagram given below and answer the question.Class - 1 Class - 2 Class - 3 Class - 4 Class - 5502515354555103020405060(a) Which grade has the least number of students and which grade has the most number of students? [2U](b) How many total students were there in the school? [1A]11. Fill in the empty box by suitable word, number and symbol.(a) x denotes days of Saturday of Baishakh month then x is called ............. [1K](b) 5 + 7 = [1K](c) + 2 = 7 [1U](d) 15 – = 6 [1U](e) 27 3 = 9 [1A]12. If 15 oranges are distributed to some people then each person received 3 oranges.(a) Write the mathematical sentence using box notation and find the number ofpeople to whom the oranges distributed? [2A](b) How many oranges should be added if each person received 5 oranges individually? [1HA]280 Acme Mathematics-4