Showing posts with label Comparing. Show all posts
Showing posts with label Comparing. Show all posts

Sunday, 4 November 2018

N2-L2 Whole Numbers Practice : Comparing/Ordering/Rounding


WHOLE NUMBERS – L2 (N2)      (~60 Mins)     Date/Time:                           Tutor:             

(Part 1) Revise(15-20mins)                                               Start Time:                 

(Part2) Practice (~40mins).            Start Time: 

1. Arrange the numbers in order beginning with the smallest.                         Working
(a)      47620, 47591, 46135, 46921 
Answer:                                 

(b)      988, 978, 958, 938, 987
Answer:                                 

2.  Arrange the numbers in order beginning with the greatest.
(a)      714, 722, 709, 720, 710
Answer:                                 

(b)      25426, 25391, 25634, 25553, 25518    
Answer:                                 

3.  Use   4,   7,      6,      9   to from the 
(a) greatest 4-digit number 
Answer:                                 

(b) smallest 4-digit number
Answer:                                 

4.  Circle the odd numbers

         24, 33, 67, 22, 90, 15

5. What number is 20 more than 438?                
Answer:                                 

6.  What number is 112 less than 438?
Answer:                                 

7.  What number is 100 more than 8637?
Answer:                                 

8. What number is 1000 less than 8592?
Answer:                                 

9. Round off 70187 to the nearest:                       
 (a)  ten

 (b) hundred

 (c) thousand

10. Round off 89721 to the nearest 
 (a)  ten

 (b) hundred

 (c) thousand

11*.  Use all the digits 6, 5, 2, 8 to from the number closest to 6000.

12. Mary has 125 stamps. James has 68 more than Mary. How many stamps does James has?

PSLE (2018F)
13. Use the digits below to form the smallest 5-digit odd number. Each digit can only be used once. (21/p1/f)
                     
                             8    1   7    2    5

14. The first three figures in a pattern are shown. How many triangles will Figure 8 have? (29/p1/f)

                                        Total Mark:                /21
Tutor Remark:           


Answer Key:
1a.      46135, 46921, 475591, 47620

1b.      938, 958, 978, 987, 988

2a.      722, 720, 714, 710, 709

2b.      25634, 255553, 25518, 25426, 25391

3.         9764

3b.      4679

4.         33, 67, 15

5.         458

6.         326

7.         8737

8.         8492

9a.      70180

b.         70200

c.         70000

10a.    89720

10b.    87900

10c.    90000

11.      6258

12.      196

13.      81725


14.      64

Thursday, 1 November 2018

TN3 Numbers Level 3 Mathematics Proficiency Assessment Questions


Time : 40minutes
Hundreds, Tens, Ones
3.1      What is the missing numbers?
            432 =        + 30 + 2

3.2      Complete 759 = 700 +        + 9

3.3      3247 = 3000 +           + 40 + 7

3.4      6000 + 900 + 30 + 2 =     .

3.5      In 1354,
            What does the digit 4 stand for?
            What digit is in the hundreds place?

Comparing and Ordering Numbers
3.6      What number is 100 more than 8537?

3.7      What number is 1000 less than 8592?

3.8      Which number is smallest?
            3526, 4251 and 4189

3.9      Use   4  , 8  , 6  , 9    to from the
            (a) greatest 4-digit number
            (b) smallest 4-digit number

3.10    Complete the number pattern:  
            (a)  345, 347, ? , 351, ?

3.11   5030, 5020, ? , ? , 4990, 4980

+/-/Sum/Difference
3.12    Find the difference between 5496 and 2372

3.13    Find the difference between 5496 and 897

Word Problems
3.14    At a concert, there were 993 men, 645 women, 219 girls and 247 boys.
            (a) How many adults attended the concert?
            (b) How many children were there?
            (c) What is the difference in number between the men and boys?
            (d) What is the sum for the number of women and girls?

3.15    2340 passengers are flying to Bangkok. The number of passengers flying to Hong Kong is 67 more than the number flying to Bangkok. How many passengers are flying to Hong Kong?

3.16    The smaller of two numbers is 1150. The greater number is 340 more than the smaller number. What is the sum of the two numbers?

3.17    720 boarded the train at the first station. At the second station, another 356 boarded the train, and 137 got off. How many people are on the train at the second station now?

Multiplication/Division
3.18    Complete     9 x 7 =          - 7 =   .

3.19    What are the missing numbers?
                        8 x 5 =         + 16 =   .

3.20    Solve:  56 ÷ 7 =     .

3.21    What are the missing numbers?
            81 ÷ 9 =       - 9 =    .

3.22    Ani has 8 balls. Carol has 4 times as many balls as Ani. How many balls does Carol have?

3.23    There are 8 pupils in each IT class. There are 7 IT classes in total. How many pupils are in the IT class?

3.24    Mr Hong gave $54 equally to 6 boys. How much does each boy have?

3.25    Bobby has 6 times as many stamps as Calvin. They have 84 stamps altogether. How many stamps does Bobby have?

3.26    Find the product of 36 and 4

3.27    Find the product of 6 and 153

3.28    Find the quotient and remainder of 23 ÷ 3        

3.29    Find the quotient and remainder of 562 ÷ 2

3.30    Divide 492 ÷ 4

3.31    Divide 500 ÷ 2

3.32    Five classes of pupils went to a concert. Each class paid $144 for the concert tickets.
            (a) How much was spent on concert tickets?
            (b) Each pupil paid $6 for the ticket. How many pupil went for the concert?

3.33    The theatre has 12 seats in each row. A group 43 of tourists occupied 4 rows of seat. How many seats in the 4 rows were not occupied by the tourist.

Monday, 1 October 2018

N3. Whole Numbers : Comparing and Ordering Numbers (more than/less than)

MORE THAN

 
       OOOO△△△

                    4 is more than 3
The number of circles is MORE THAN the number of triangles

LESS THAN
              OOOO△△△
                     3 is less than 4
The number of triangles is LESS THAN the number of circles


SMALLEST, LARGEST 
Smallest: of the least value as compared to others
Largest: of the biggest value as compared to others
Example: 
            (a)    0 ,1 4, 7, 8
            (b)    2, 4, 6, 8, 0
            (c)    9, 8, 6, 4, 0
            (d)    3, 5, 4, 6, 9
Which number-set is arranged in order, beginning with the smallest number? (a)
Which number-set is arranged in order, beginning with the largest number? (c)

ODD NUMBER
Numbers ending with 1, 3, 5, 7, 9
Example
       19   ,    23,     835,    47,    1259,     361
EVEN NUMBER
Numbers ending with 0, 2, 4, 6, 8

ORDERING
Example
Arrange the following in decreasing order (big to small)
            23 642,          22 893,          25147
Method
Step1: Arrange numbers in rows
                        2 2  6 4 2
                        2 3  6 9 3
                        2 5 1 4 7
Step 2: Compare from left to right, until the column with different values, label from big (1) to small 
                        2 3  6 4 2   (2)
                        2 2  8 9 3   (3)
                        2 5  1 4 7   (1)
              same ↑    go next right number
                          ↑  5 is the largest number(1), then 3(2) , 2(1) <- label (1), (2) ,(3)
Step3: Write the answer with label (1), (2), (3) 
                      25147, 23693, 22642
Example
Arrange the following in increasing order (small to big)
            43642,          43193,          54147
Method
Step1: Arrange numbers in rows
                        4 3  6 4 2
                        4 3  1 9 3
                        5 4  1 4 7
Step 2: Compare from left to right, until the column with different values, label 3 (for 3 numbers comparison) for the largest number, and continue to next column
                        4 3  6 4 2   2
                        4 3  1 9 3   1
                        5 4  1 4 7   3             
                       ^           5 is biggest, strike, label 3(3 numbers), go next right number
                           ^       both are 3, go next right number
                                ^  6 and 1, label 2 for the bigger number, and 1 for the smaller number
Step3: Write the answer - label 1, 2, 3
                        43193, 43642, 54147

Solving 'More than' and 'Less than' questions
More than question (big - small)
Method
=> Big number - small number
Example: 102 is ______ more than 77.
Step1Circle/Underline 102, 77, More than (-)  => [big - small]
Step2: Write in equal form 
     => 102 -  77  ___    [Arrange  big number - small number = _____ ]
           102 - 77 = 25    
Step3: Solve 
        102 is 25 more than 77.

Example: 523 is 100 more than ____
Step 1Circle/Underline 523, 100, More than  => [big - small]
Step 2 Write in equal form
       => 523 - 100 = ____  [Arrange  big number - small number = _____ ]
             523 - 100 = 423  
Step 3 : Solve
              523 is 100 more than 423

Less than questions
(1) The first number is smaller than the second number
First number is smaller than the second number, big number subtract(-) the small number  
            First number smaller :  big number - small number 
Example
    68 is ______ less than 89.
Step1Circle/Underline 68(1st), 89(2nd) , Less than => 1st number(68) is smaller (-)
Step 2: Write in equal form (big number - small number)
           89 - 68 =  _____
       => 89 - 68 = 21
Step 3: Solve
              68 is 21 less than 89

(2) The first number is bigger than the second number
If the first number is bigger than the second number, ADD + both numbers
      First number bigger :  big number + small number 
Example: 523 is 100 less than ____
Step 1Circle/Underline 523(1st), 100 (2nd), less than: 1st number bigger (+)
Step 2 : Write in equal form
             523 + 100 =  _____ (Add both numbers)
             523 + 100 = 623
Step 3 : Solve
              523 is 100 less than 623

Example (more than / Less than)
Eric has 5 yellow balls. Rahul has 3 blue stickers.
           

(a) How many more sticker does Eric have?
Step 1: Underline, (method - more than => - )
Step 2:  Write in equal form
              5 - 3 = 2
Step 3: Solve
Eric has 2 more stickers than Bala

(b) How many stickers must Rahul has to have the same number of sticker as Eric?
Step 1: Underline and method to use
      [Rahul has less sticker than Eric ]
       3 is ___ less than 5 [1st number is smaller, big - small
Step 2 : Write in equal form
5 - 3 =. 
5 - 3 = 2
Step 3 : Solve
       Rahul has 2 fewer than Eric

COMPARE and ORDER Terms
(1)   Great/greater/greatest; as great as, greater than
(2)   Small/smaller/smallest; as small as, smaller than
(3)   Many/More/Most; as many as, more than       
(4)   Little/Less/Least; as little as, less than
(5)   Few/Fewer/Fewest; as few as, fewer than
(6)   Long/Longer/Longest; as long as, longer than                     
(7)   Short/Shorter/Shortest; as short as, shorter than
(8)   Tall/Taller/Tallest, taller than, as tall as  
(9)   Heavy/Heavier/Heaviest; as heavy as, heavier than                               
(10) Light/Lighter/Lightest; as light as; lighter than
(11) Decreasing / Increasing

~~~~~~~ The End  ~~~~~~~:)