THE 2 SET OF QUESTIONS I HAVE POSTED TODAY ARE FOR PRACTICE.  THE CLASSWORK SUMS HAVE A DUE DATE AS THEY  ARE MENTIONED IN THE CLASS. THE SUMS IN THE BLOG ARE FOR MORE PRACTICE. THEY DO NOT HAVE A DUE DATE, BUT, IT WOULD BE GOOD IF YOU PRACTICE THE SUMS AS THEY ARE BEING DONE IN CLASS. IF THE TOPIC HAS BEEN FINISHED IN CLASS, PRACTICE THEM IN YOUR FREE TIME SO THAT THEY CAN HELP YOU REVISE AND REVIEW YOUR UNDERSTANDING.

The second set of questions follows

1. Rewrite the number in scientific notation.

(a) 150,000,000  (b) 0.000000000009  (c) 0.000000000439  

2. Find a 4- digit number that is divisible by both 6 an 9 

    Find a 3- digit number that is divisible by both 3 and 5

3. Test each number below for divisibility.

	Divisible by………..
Number	By 2	By 3	By 5	By 6	By 8	By 9	By 11
75
7.960
964,172
38,297
384
987,766
786

4. What is the L.C.M of 342, 54 and 36  and the H.C. F of 434, 56, 78

5. (a) What is the  capacity of the smallest drum which can be filled completely using each of the mugs that can fill 75 ml, 200 ml, and 140 ml ?  

    (b) There are 4 poles measuring 105 cm, 120 cm, 125 cm and 140 cm. If they have to be arranged into pieces of equal length, what is the maximum length they have to be cut into?

6. Arrange in ascending order  6  ,   4  ,   1  ,   2 ,   7  

                                               9      5      3     8      4    

7. Raju had 600 mangoes in his orchard.   ½  of them were ripe. So he plucked them and took them home. A shopkeeper took ¼ of the mangoes  to sell. Raju sent the rest to the market. Due to the extreme heat nowadays, 1/5 of the remaining mangoes got spoilt. How many mangoes was he able to sell in the market?

Help to write statements while solving the sum  

Number of mangoes = _________              Number of mangoes plucked by him =____________

Number of mangoes taken by the shopkeeper   = ______       No. of mangoes spoilt = ________

Mangoes sold in the market = _________

Out of the total strength of 168 students in a school 2/3 were boys and 1/2 of the girls lived in the hostel. During the spring break, only 2/7 of the girls went home. 1/4 of the remaining girls took permission to stay in with their friends or guardians in the city. How many girls styaed back in the hostel?

8. Show the following operations by drawing boxes and shading them appropriately

   4  X   1                    6    -   3

  5         2                    7        4

9. a. Convert into fractions         4.89 = ________       89.098 =  ________     2.5555 = _________

    b. Convert into decimals        4  1   = _______         678  3    =  _______      78 45  =  _______
                                                    10                                  1000                            1000

    c.  Expand the following     34. 678             678. 786               34.008

    d.  Copy vertically and add        0.02 + 0.443            0.1897 +  98.6754        98.564  + 32. 546

    e.  Copy vertically and subtract        0.4567 - 0.094               181.007 - 16.346  

    f. What should be added to 23.231 to get 40.25?
        By how much is 4.567 greater than 2.112?
        How much will taking away 1123.51 from 8562.15 give?

    g. Multiply  63.4  X   0. 00053                0.5555  X  5.5               99.9    X   0,00011

    h. Divide      0.8  ÷ 2          0.064  ÷  8          0.645  ÷  0.5         35.052  ÷   2.3        0.52 ÷  0.013

    i. A jeans manufacturing company got an order to stitch 356 pairs of jeans. each pair of jeans requires           2.856 m of cloth. How much cloth is required to make 356 such pairs?

    j. CHALLENGE Ques: The total mass of Cho, Nash and Fatima is 168.9 kg. Cho is 15.8 kg heavier than  
        Nash but 8.6 kg lighter than Fatma. How heavy is Cho?

10. (1) Express each percentage as a decimal
     

Percent	Quantity	Working	Part of quantity
12%	20
38 %	6, 500 ml
78 %	Rs. 248

     (2) Lily earned Rs 2220 and gave 30 % of it to her mother every month. How much did she give her
           mother in 3 months?

     (3) Rani withdrew 5 % of her savings from an ATM. She spent 75 % of it to buy a computer and had Rs
           200 left. How much savings had she in the bank at first?

     (4)  Challenge Question: 60 % of the fish in a tank were goldfish and the remaining 96 fish were

guppies. 70 % of the total number of fish were sold. If there were 1/3 as many gold fish  as guppies

            left, how many guppies were there?   

Hello Children

It is the time of the Year to tell you that you ALL have done a lot of GOOOOOD WORK. GOOD and HARD WORK!!!! Congratulations to that!
It is also time to REVIEW and brush up anything that  needs brushing up. We are  practicing the topics in class but here are some sums for REVIEW.

1. Write the place and the value of the underlined digit both in Indian and International System83766564                 564378665            9000080760

2. Now arrange them in ascending order and round each number to the nearest lakh

3. Solve and Write the answer in words in Indian System   

44,36,234 5,64,78,543 +  9,98,744

                                                           6,531,785

                                                           5,648,068
                                                     +         66,116                

---

                                      

4.     1375696 divided by 225            807689  divided by 86      3675 divided by 9     18 7  ÷  25
                                                                                                                                        5     873

5.   546726923 -  453677             675.6654  - 43.09684         16 7     -    12 7
                                                                                                                                        6                     8

6. Multiply 12345  X   56789            9080.07    X   40.97        23  5     X    1  49 
                                                                                                      13              68

7. I am a polygon. I have five sides and two right angles. Draw me. I am called a ____________.

8. Write an equivalent decimal 60 %= _____         4 = _______          1 = ______     93%= ________

                                                                            10                           5

9. Circle the open sentence that best matches each story and then solve the problem

Sue walked 2 miles to Jan's house. Then both girls walked 2 miles to Tad's house. Sue took 28 minutes to get to Jan's house. The girls took 45 minutes to get to Tad's house. How much longer did it take to get to Tad's house than to Jan's?

2  X  28 = m                     2 + 28 + m = 45             m -28 = 45                45 - 28 = m

10. Circle the number sentence that matches the problem and then solve it
  Tanya's guinea pig is 5 years old and 10.25 inches long. Monique's giuinea pig is 2 years old and 11.5 inches. Jamal's guinea pig is 4 years old and 9.5 inches long. What is the length between the shortest and  the longest guinea pig?

MATH WORK

HERE ARE SOME OF THE TOPICS WE SHALL BE DOING NEXT WEEK
Operations on Fractions
Operations on decimals
Work on finding % of a number
Simplification using DMAS Rule

I have posted some work on the math Blog
Answers to work of Last Saturday
Primer of Work that we shall be doing next week

Aniruddha Sir

ANSWERS TO LAST WEEK"S WORK

Worksheet Saturday 4/4/2013 EASY      

980 237 divided by 92                                              5442

   10654.75                                                             X 757    4119594

 Solve.

1.  Miguel divides 101 marbles equally among 8 friends.

a. How many marbles does each friend get?

b. How many marbles are left over? a. ----- marbles 101÷  8 = 12.625 or 12 marbles

  b. ----- marbles 5  marbles

 2.  Jose buys 12 peppermints and 2 goody bags for his party. He needs to put an equal amount in each bag.

a. How many peppermints can be put in each goody bag?

b. How many peppermints are left over? a. ------ peppermints 6  (12 ÷ 2)

  b. ----- peppermints 0    (12 ÷ 2) has no remainder

Medium

1.   A group of 557 people signed up for guitar lessons. Each class can have  a maximum of 16 students. What is the least number of classes needed?____ classes

557 ÷ 16= 34.8125 So 16 classes + 1 more class for the remainders= 17 classes
2. Mike has Rs. 298 761. If T-shirts cost Rs. 49 each, then how many T-shirts can he buy?_______ T-shirts 298.761 ÷ 49 = 6.097 of 6 T- shirts with some money left over
3. Which number when multiplied by 12 gives the product of 118512

118512÷12= 9876 (using fact families)

Difficult

1.   Pearl divided 58 pinwheels equally into 6 jars. She gave away all but 1 jar and the leftover pinwheels. How many pinwheels did she keep? _____ pinwheels

58 ÷ 6 =  9 R 2    HAS 9+2 = 11 PINWHEELS

2. Jenny and Gina each had the same number of erasers. Jenny gave 82 of her erasers to her friends and Gina gave  29 of her erasers to her siblings. Gina has  7 times as many erasers left as Jenny. How many erasers did each of them have at first?

?	82
							28

J                        82  -  28  = 54

G       54  ÷  6    = 9        9 + 82 = 91 erasers

Challenging

Solve these word problems. SHOW WORKING CLEARLY STEP BY STEP

1. There are 5 times as many buttons in Bowl A as in Bowl B. There are 240 buttons

in both bowls. How many buttons must be transferred to Bowl B form Bowl A so that

both bowls have the same number of buttons? 

 Bowl A                                               

                                                                                  

  Bowl B                
   

6 units = 240       So 1 unit = 240 ÷ 6 = 40      So  5 units = 5 X 40 = 200

There are 40 buttons in Bowl B and 200 buttons in Bowl A

Now 240 ÷ 2 = 120     So, 240 – 120 =  80   So, 80 buttons to be transferred from A to B

2. A scientist has 39 spiders, ants and houseflies in his lab for an experiment. He counted

264 legs altogether. There were thrice as many ants as houseflies. How many ants did

the scientist keep in his laboratory? (Spiders have 8 legs while ants and houseflies have 6)

Assume there are 39 ants and flies   So 39X 6=  234

39 ants and houseflies have 234legs    Now 264-234 =  30

Each ant/Housefly has 2 legs less than each spider       So 30÷2 = 15  Scts keeps  15 spiders

                               House flies                                    39-15 = 24                              

  Ants                  24                                                                                     

                                                               

4 units = 24    1 unit = 6    3 units = 18   scientist keeps 18 ants

Sunday's Work— EASY  5/5/13

Divide

28 500 ÷ 500=_____  57	E	490 000 ÷ 7000=____ 70	L
28 000 ÷ 70 = ______  400	U	64 800 ÷ 800 = _________  81	I
1200 ÷ 400 + ______  3	B	33 960 ÷ 30 = __________ 1132	D
364 000  ÷ 8 = _______  45500	R	24 840 ÷ 60 = __________ 414	N
118 400 ÷ 400 = _____  296	G

What is the name of the Australian venomous octopus whose venom is so poisonous and concentrated that when it is squirted into the water, it can immobilize its prey immediately ?

__     ____     ____       _____        ______        ___       ____    ____    
 3         70         400         57              49500           81       414        296    

____  ______  octopus              blue ringed

  57    1132

Medium

1. Multiply the quotient of 14508 and 18 by 2          806 X 2 = 1612

2. Denis bought a T- shirt for Rs 56. Jane bought an evening gown that cost 15 times as much as the shirt and Rs. 289 more. The evening gown cost Rs.____________

56 X 15=  840 +289 = 1129

3. Kent bought 29 packets of phonecards. If each packet contained 34 phonecards and he gave 50 of them to Tom, how many phone cards are left with him?

29 X 34 = 986 -50 = 936

Difficult

1. The total cost of a bag and a T- shirt was Rs. 19. Hari bought 4 such bags and 2 such T- shirts for Rs. 52. How much did a T- shirt cost?

1 B + 1 T=  19

4B +2 T=  52

4B + 4T = 4 X 19 = 76

        2T = 76 – 52 = 24

        1T = 24 ÷ 2 = 12

2. Monica collected 431 stickers and Azhar collected 216 fewer stickers than Monica.  If Sameer collected 5 times as many stickers as Azhar, how many stickers did they collect in all?

431- 216 = 215        5X 215 = 1075     1075 + 215 + 431 = 1721

Challenging

1. Joe arranged 124 of his toy soldiers to form a square by placing an equal number of toy soldiers along each side. How many toy soldiers did Joe arrange along two adjacent sides of the square?

124 – 4 = 120         So 120 ÷ 4 = 30       1+ 30 +1 +30 + 1 = 63 along adjacent sides

2.Han and Suman each collects a certain number of stickers every day. Han collects 5 stickers each day. By the 12th day of Han's collection Suman had collected  144 stickers. By the 20th day, Suman had collected 240 stickers. On which day would  their total be 170 stickers?
240 – 144 = 96    96 ÷ 8 = 12 ( andrea collects/ day)  

in 1 day Han + andrea collects 12 + 5 = 17    170 ÷ 7 = 10  on 10^th day they have 170

Sunday's Work 12.05.13

Whole no Ops
1. What is 58 multiplied by 6?
308                    348                      3048
2. What is 132 multiplied by 5?
550                 660                 661
3. What is 425 multiplied by 3?
1225                  1265                     1275
4.What is 786 divided by 3?
162                    222                       262
5. What is 136 divided by 8?
17                       18                       19
6.What is 308 divided by 4?
68                  77                     82

Fractions : what is one no. as a fraction/decimal of another
1. What is 36 minutes as a fraction of 1 hour?        
3/5              2/3                         1/4
2.What is 12/25 as a decimal?
0.5                0.48                         0.4
3.Greeta scored 42 out of 50 for her Maths exam. What percentage did she get for Maths?
68%                 72%                      84%

4.According to the local paper, only 20% of Whiteburn's rugby supporters are women. Gary says that is equivalent to 1 in 5, whereas Ed says that is equivalent to 1 in 20. Who is correct?
Gary                   Ed                     Neither of them
5. 6/10 of the delegates at a conference are women. What percentage are men?
50%                    35%                         40%
6.What is 13/25 as a percentage?
52%                      65%                        60%

7.What is 45% as a decimal?
0.45                      4.0                          0.4 

This portion is a primer of the work we shall be tackling next week       Practise this on your own--not to submit on Monday

Fractions- Equivalencies/ Fraction of a number
1.Which of the following is equivalent to 2/3?
4/5                       6/8                              8/12
2.Which of the following is not in its simplest form?
5/12                    7/12                           9/12
3. Write 12/20 in its simplest form.
1/3                       2/6                                  3/5
4.Find 3/7 of 42
18                       22                            16
5.Which is the biggest??
3/4 of 20                2/3 of 24               1/3 of 21
6.A dress usually costs £60. It is reduced by 1/3 in a sale. By how much is the dress reduced?
£30                         £20                          £10
7.Which is the largest fraction?
7/12                        1/2                            5/8
8.Which is the smallest fraction)?
7/12                          1/2                       5/8
9.Sarah calculates that she spends 1/3 of her pocket money on sweets, and 2/5 on magazines. What fraction of her pocket money does Sarah spend on sweets and magazines?
11/15                     5/6                           12/16
10.Sam has 3/4 kg of toffees. If he gives 3/8 kg to Mike, how many will he have left?
4/5                            3/8                            2/3

Decimals--operations

1. Which is the biggest?
3.013                        3.0014                    3.0013
2. Calculate 2.5 + 0.37?
2.87                 2.6                         2.78
3. Three friends compare their heights. Who is the tallest?
Anna is 1.58m                    Chris is 1.62m                          Drew is 1.47m
4. Anna is 1.58m. Drew is 1.47m. What is the difference between Anna's height and Drew's height?
0.11m                    0.15m                        2m
5. Which is the biggest?
0.75 x 10                      0.7 x 100                    0.8 x 10
6. Which is the smallest?
62/1000                    0.6/10                      6/10
7.A booklet contains 100 pieces of paper and is 13mm thick. What is the thickness of one sheet of paper
1.3mm                          10mm                     0.13mm
8.Calculate the answer to the following: 4.8 divided by 3
1.6                                2.1                          0.625
9.£8.40 is shared equally between three brothers. How much does each brother receive?
£4.20                          £2.80                   £1.15
10.Aisha buys a magazine for £1.25 and chocolates for £2.99. She pays with a £10 note. How much change does she receive?
£4.24                          £5.80                    £5.76

PERCENTAGES-- percentage of a number

1. What percentage of the following shape has been shaded?

50%                                55%                                 70%

2.          What percentage of the following shape has been shaded?

60%                           75%                               80%

3.  Find 17% of £200
£42                               £36                                 £34

4.   John invests £2500 and earns 8% interest. How much interest does he receive?
£200                           £250                                 £500

5. A computer costs £1200. It is reduced by 5% in a sale. What is the sale price of the computer?
£1000                         £1195                                   £1140