Class 5 Mathematics Notes, Exercise: Review, Unit-1, Whole Numbers and Operations (New Book/New Syllabus Based on Single National Curriculum Pakistan 2022 and onwards)

Class: 5

Unit-1: Whole Numbers and Operations

REVIEW EXERCISE

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"1. Choose the Correct Answers"

a). We give space after every____digits in numbers.

(i) 2
(ii) 3
(iii) 4
(iv) 5

... Answer is (b)  3
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b). The value of 2 in the number 6 985 621 is_____.

(i) 2
(ii) 20
(iii) 200
(iv) 2000

... Answer is (b)  20
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c). In 7 856 211 the digit_____ is the thousands place digit.

(i) 2
(ii) 5
(iii) 6
(iv) 8

... Answer is (c) 6
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d). When we multiply a number by ______ we put 3 zeros to its right end.

(i) 10
(ii) 100
(iii) 1000
(iv) 1

... Answer is (c) 1000
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e). When we ______ a number by 10 we remove a zero from its right

(i) add
(ii) subtract
(iii) multiply
(iv) divide

... Answer is (d) divide
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1. Write the following numbers in words.

a)    8 734 123        b)    6  965 129       

c)  4 982 009          d)    9 012 011      

Solution: 

a)    8 734 123        

Eight million, seven hundred and thirty-four thousand, one hundred and twenty three.

b)    6  965 129       

Six million, nine hundred and sixty-five thousand, one hundred and twenty-nine

c)  4 982 009

Four million, nine hundred and eighty-two thousand and nine.

d)    9 012 011  

Nine million, twelve thousand and eleven.

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3. Add the following.

a)     212 121 + 56 234         b)    18 315 + 102 376  

c)     727 191 + 92 921         d)    139 657 + 274 777 

e)     532 481 + 100 008       f)    200 464 + 126 654

Solution: 

a)     212 121 + 56 234         

b)    18 315 + 102 376 

c)     727 191 + 92 921         

d)    139 657 + 247 777 

e)     532 481 + 100 008       

f)    200 454 + 126 654

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4. Subtract the following.

a)     675 921 - 31 412          b)    986 543 - 65 219 

c)     108 761 - 70 021          d)    846 109 - 591 089 

e)     865 439 - 761 212        f)    696 349 - 288 888

Solution: 

a)     675 921 - 31 412          

b)    986 543 - 65 219 

c)     108 761 - 70 021          

d)    846 109 - 591 089 

e)     865 439 - 761 212        

f)    696 349 - 288 888

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5. Solve the following.

a)  12 356 ｘ 122           b)   65 781 ｘ 100     

c)   262 825 ｘ 522        d)  837 564 ｘ 519

Solution: 

a)  12 356 ｘ 122           

b)   65 781 ｘ 100

or 

Rule: When a whole number is multiplied by 1000, we put three zero to the right-side of the number. So

65 781 ｘ 1 000 = 65 781 000  ------Ans.

c)   262 825 ｘ 522        

d)  837 564 ｘ 519

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6. Solve the following.

a)  66 693 ÷ 33        b)   35 788 ÷ 42    c)   25 111 ÷ 69
d)  28 000 ÷ 1000    e)  58 580 ÷ 10     f)   28 104 ÷ 28

Solution: 

a)  66 693 ÷ 33        

b)   35 788 ÷ 42 

c)   25 111 ÷ 69

d)  28 000 ÷ 1000    

Rule: When a whole number is divided by 1000, we remove three zero from the right-side of the number. So

28 000 ÷ 1 000 = 28   ------Ans.

e)  58 580 ÷ 10     

Rule: When a whole number is divided by 10, we remove one zero from the right-side of the number. So

58 580 ÷ 10  = 5 858   ------Ans.

f)   28 104 ÷ 28

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7. What are the rules for these patterns? Also find the next three each pattern.

a) 50, 100, 150, 200, ______, ______, ______.

b) 180, 165, 150, 135, ______, ______, ______.

c) 18, 90, 450, 2 250, ______, ______, ______. 

d) 6 100 000, 610 000, 61 000, ______, ______, ______.

Solution: 

a) 50, 100, 150, 200, ______, ______, ______.

Next Three Terms: 250, 300, 350.

Rule: Adding 50

b) 180, 165, 150, 135, ______, ______, ______.

Next Three Terms: 120, 105, 90.

Rule: Subtracting 15

c) 18, 90, 450, 2 250, ______, ______, ______. 

Next Three Terms:  11 250, 65 250, 281 250.

Rule: Multiplication by 5

c) 6 100 000, 610 000, 61 000, ______, ______, ______.

Next Three Terms: 6 100, 610, 61.

Rule: dividing by 10

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8. Fill in the blanks and complete the pattern

a)     10 ｘ _____    = 10

        10 ｘ _____    = 100

        10 ｘ _____    = 1000

        10 ｘ _____    = 10000

b)      ________ ÷ 1          = 1 000

         ________ ÷ 10        = 100

         ________  ÷ 100      = 10

         ________  ÷ 1000    = 1

Solution:

a)     10 ｘ 1          = 10

        10 ｘ 10        = 100

        10 ｘ 100      = 1000

        10 ｘ 1000    = 10000

b)     100 00 ÷ 1          = 1 000

        100 00 ÷ 10        = 100

        100 00 ÷ 100      = 10

        100 00 ÷ 1000    = 1

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9. The price of a car is Rs. 456 721 and the price of another car is Rs. 987 676. Find the total price of both cars.

Solution: 

Thus the price of both cars is Rs. 1 444 397

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10. There are 768 121 children and 456 789 women, in the city. How many more children are there than the women? 

Solution: 

Thus the Number of children is 311 332 more than women

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11. The price of a scanner is Rs. 162 900 and the price of a laser printer is Rs. 96 880. Find: 
a) the total price of both items.
b) the total price of 15 scanners and 3 laser printers. 

Solution: 

a) the total price of both items.

Thus the total price of both scanner and laser printer is Rs. 311 332-------Ans.1 

b) the total price of 15 scanners and 3 laser printers. 

To find total the price of 15 scanners and 3 laser printers. We will find first the price of 15 scanners by my multiplying the price of one scanner ie. Rs. 162 900 by 15, and the price of 3 laser printer by multiplying Rs. 96 880 by 3. After then finding their sum. So,

Price of 15 scanners are

The price of 15 scanners are 2 443  500 -------(1)

Price of 3 Laser printers are

The price of 3 laser printer are 290 640 -------(2)

Now total price of 15 scanners and 3 laser printers are

Thus the otal price of 15 scanners and 3 laser printers are Rs. 2 734 140  ------Ans.2

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12. 35 288 blocks are to be packed in 28 boxes.
a) How many blocks are there in each box?
b) How many blocks will be left? 

Solution: 

a)

To find how many blocks are in each box, we will divide 35 288 by 28. So

Each box will contain 1 260 blocks.

b) The Remainder Rs. 8 will be the block left.

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3. Observe the given tables and find the rules of numbers of the pattern.

Solution: 

a)    

Pattern: 2, 4, 6, 8. 

Rule: Adding 2 

b)    

Pattern: 10, 25, 40, 55.

Rule: Adding 15

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