Question bank
Chapter-1 Numeration
Q-1
Write the following numbers in figures:
(a) Eighteen lakh nineteen thousand five hundred fifteen
(b) Sixty-two lakh eighty thousand thirteen
(c) One crore nine lakh sixteen thousand sixty
(d) Seventy lakh seventy thousand five
(e) Twenty crore five lakh three hundred seven
(f) Sixteen crore six thousand eight
(g) Nine crore ninety lakh ninety thousand ninety.
Q-2
Write the number-names of the following numbers:
a) 3,27,18,972
b) 57,89,12,924
c) 58,24,92,840
d) 88,94,24,500
e) 2,65,00,840
f) 76,34,12,400
Q-3
Write the next number:
a) 4504892
b) 23800719
c) 420035608
Q-4
Write numbers between:
a) 8851912 and 8851915
b) 42701627 and 42701635
c) 250563207 and 250563210
Q-5
Write:
a) Greatest number of 8 digits
b) Smallest number of 9 digits
Q-6
Look at the patterns and write the next three numbers:
a) 9535703, 9545703, 9555703
b) 11285965, 13285965, 15285965
Q-7
Write in the expanded form:
a) 3,57,289
b) 63,27,490
c) 39,57,29,400
d) 42,90,42,681
e) 62,81,42,904
f) 83,92,63,115
Q-8
Write each of the following in standard form:
a) 3,00,00,000+80,00,000+ 2,000+400+60+5
b) 9,00,00,000+ 60,00,000+ 50,000+7000+60+8
c) 80,00,00,000+70,00,000+7000+400+90+2
d) 50,00,00,000+ 7,00,00,000+ 50,00,000+ 1,00,000+ 20,000+3000+400+5
Q-9
Write the following numbers in the place value chart and find the place value of the digit 7 in each case.
a) 8758940
b) 67062509
c) 370023408
d) 4725969
Q-10
Find the place value of each encircled digit:
a) 854 (6) 9524
b) 90(9) 656148
c) 232709(4)89
Q-11
Find the digits in the required place in each of the following:
a) Crore's place in 780609313
b) Lakh's place in 45278761
Q-12
How many are:
a) Thousands all these in 4780536?
b) Lakhs all these in 90395418?
c) Crores all these in 2854821?
Q-13
Solve it
1. Find the sum of the place values of the two 5s in 3570850.
2. Find the difference of the place value and the face value of 7 in 879006432.
Q-14
Write the predecessor of:
a) 9000468
b) 3249426
c) 8050001
Q-15
Write the successor of:
a) 924860
b) 4285647
c) 294500081
Q-16
Compare the following numbers and put > or < in the boxes:
a) 2725028 _____ 299455
b) 2450052 _____ 2950304
c) 9076707 ______ 6690707
d) 3276057 _____ 4450059
e) 73056705 ____ 63049078
f) 925904089 _____ 925955484
Q-17
Find the smallest and the greatest number from the following:
a) 2723524, 223155, 7402198, 8001015
b) 8323562, 8897050, 899999, 3999999
c) 26776523, 267760523, 46776219, 962370825
Q-18
Arrange the following numbers in ascending order:
a) 5351984, 6850020, 7976517,8003029
b) 1925377, 3035450, 35716, 537814
c) 60201920, 69272538, 85002000, 970587
Q-19
Write the smallest and the greatest number using each of the following digits only once:
a) 3,4,5,0,9,6,8
b) 2,3,0,4,6,8,9
c) 7,0,3,4,6,8,9,2
d) 1,2,3,0,5, 4, 6, 7, 9
Q-20
Arrange the following numbers in descending order:
a) 9775923, 678919, 4023785, 323610
b) 425,925215, 270819, 6920024
c) 42325725, 29238920, 42705025, 8070849
Q-21
Solve
1. Write the greatest number of 7 digits with digit 2 in tens place.
2. Write the smallest number of 8 digits with digit 5 in thousands place.
3. Write the greatest and the smallest 8-digit number using the digits 1, 0, 2, 7.
Q-22
Write the following numbers in words (International System):
a) 4092609
b) 24408401
c) 324608795
d) 600700900
e) 704029006
f) 40394059
Q-23
Write the following numbers in figures:
a) Three million five hundred fifty thousand three hundred eight
b) Fifty-six million seventy thousand three hundred forty
c) Six hundred six million nine hundred thirteen
d) Four million four hundred forty thousand seven hundred
e) Nine hundred million seven hundred thousand eighty
f) Nine hundred one million fifty-nine thousand six
Q-24
Write the number which has
a) 5 in ten thousands place, O each in ones, thousands and millions places, 3 in ten millions place, 7 in hundred thousands place, 9 in hundreds place and 2 in tens place.
b) 7 in hundreds place, 4 in tens places, O in ones place, 9 in thousands place, 5 in lakhs place, 3 in ten thousands place and 6 in ten lakhs place.
Q-25
Write the following Roman numerals in the Hindu-Arabic system:
a) IV
b) IX
c) XVI
d) XIX
e) LII
f) LV
g) LXX
h) LXIX
i) XCI
j) LXV
k) LXXI
l) CCLI
m) LIX
n) XXIV
o) CDIX
p) LV
Q-26
Give the corresponding Roman numerals:
a) 32
b) 27
c) 25
d) 45
e) 47
f) 59
g) 63
h) 171
i) 412
j) 510
k) 105
l) 123
Q-27
Use >, < or = in the box:
a) XCVI ____ LXVI
b) CXCI ____ CLXXIV
c) CIX ______ CXL
d) XCII _____ CLXV
Q-28
Write the equivalent Roman numeral in the box:
a) XCII-LXVIII = ______
b) CLXI-CXL = ______
c) CXCIV-CLXIX = ______
d) CC-X = ____
Chapter-2 Rounding off Numers
Q-1
Round off the following numbers to the nearest ten.
(a) 27
(b) 92
(c) 36
(d) 272
(e) 784
(f) 470
(g) 891
(h) 311
(i) 5054
(j) 9500
Q-2
Round off the following numbers to the nearest hundred.
(a) 650
(b) 284
(c) 329
(d) 4268
(e) 3324
(f) 52900
(g) 2464
(h) 8194
(i) 789
(j) 8594
Q-3
Round off the following numbers to the nearest thousand.
(a) 9294
(b) 4963
(c) 6734
(d) 7818
(e) 3737
(f) 52900
(g) 2464
(h) 8194
(i) 80500
(j) 67841
Q-4
Give the approximation of the following numbers to the nearest tens, hundreds and thousands.
(a) 961
(b) 395
(c) 281
(d) 5837
(e) 57842
(f) 1385
(g) 7842
(h) 3889
(i) 7658
(j) 88842
Q-5
Round off the following numbers to the nearest ten thousand.
(a) 69862
(b) 93718
(c) 29351
(d) 421675
(e) 436413
(f) 2749819
(g) 6844820
(h) 7879858
Q-6
Round off the following numbers to the nearest lakh.
(a) 437021
(b) 238454
(c) 6384707
(d) 8453279
(e) 9827466
(f) 92856219
(g) 8978082
(h) 48329646
Q-7
Round off the following numbers to the nearest ten lakh.
(a) 3432160
(b) 5347126
(c) 9123701
(d) 66743020
(e) 43243870
(f) 86503821
(g) 93503808
(h) 9856421
Q-8
Round off the following numbers to the nearest crore.
(a) 834783642
(b) 978889201
(c) 92518051
(d) 981920253
(e) 423186216
(f) 72883000
(g) 24480031
(h) 563210328
Q-9
Round off 439352132 to the nearest :
(a) hundred ------------
(b) thousand ----------------
(c) ten thousand ---------------
(d) lakh --------------
(e) ten lakh ----------------
(f) crore ----------------
Chapter-3 Operations on Large
Q-1
Add:
(a)
(b)
(c )
(d)
(e)
(f)
Q-2
Subtract and check your answer with addition.
(a)
(b)
(c )
(d)
(e)
(f)
Q-3
Solve it
1. What must be added to 89,65,350 to make it equal to 90,00,000?
2.The population of four major Indian cities as per the 2011 census is: Mumbai: 1,24,42,357; Kolkata: 44,96,693; Delhi: 1,10,38,552 and Chennai: 46,46,733. What is the total population of the four metro cities as per 2011 census?
3. The number of people speaking Bengali in the world is 19,50,00,000 and speaking English is about 43,50,00,000. How many more people speak English than Bengali?
4.The cost of a car and a flat together is 3,04,78,930. If the cost of the car is ₹1,05,65,920 what is the cost of the flat?
Q-4
Find the actual and the estimated sum by rounding off to the nearest ten-thousand:
(a)
(b)
Q-5
Find the actual and the estimated sum by rounding off to the nearest lakh:
(a)
(b)
Q-6
Find the actual and the estimated difference by rounding off to the nearest lakh:
(a)
(b)
Q-7
Solve
1. A farmer produced 390784 kg of wheat and 123000 kg of pulses in a year. Estimate his total produce by rounding off to the nearest lakh.
Q-8
Fill in the blanks.
(a) 4528 x ______ = 351 × 4528
(b) 4592 x _______ = 4592
(c) 2690x0= _________
(d) 2380 x (5×18) = (______ x5) × 18
Q-9
Multiply:
(a) 8532x65
(b) 96752x354
(c) 52517 x 590
(d) 7581 x 9258
(e) 391525 x 1297
(f) 65839 × 2482
(g) 47953 x 35
(h) 16255 x 429
(i) 42897x3592
(j) 12592x5967
(k) 83251 × 654
(l) 325967 × 1352
Q-10
Solve
1. A residential school has 650 students on its rolls. If the annual fee per student is 92,480, what is the total fee collected annually by the school?
2. 6,15,978 copies of the latest Harry Potter book were sold. If each book costs ₹1295, how much is earned by the sale of these books?
3. A builder constructs 725 flats in a society. If each flat costs 72,00,000, what is the total cost of all the flats?
Q-11
Fill in the blanks.
(1) 767 * 10 = ______
(2) 5544 * 100 = ________
(3) 494 * 1000 = ______
(4) 44 * 10000 = ______
5) 549 * 1 ,00,000= ______
(6) 64 * 2000 = _____
(7) 65 * 20000 = _____
(8) 900 * 40000 = _____
(9) 240 * 5000 = ______
Q-12
Divide:
(a) 42982/12
(b) 5, 79, 878/35
(c) 68, 23019/79
(d) 2, 36, 940/89
(e) 2, 95, 670/127
(f) 4, 32, 642/625
(g) 35, 82, 695/650
Q-13
Solve It
1. The cost of 92 refrigerators is ₹9,45,570. Find the cost of 1 refrigerator.
2. How many complete heaps of bricks, each heap containing 95 bricks, could be made out of half a million of bricks? How many bricks are left over?
3. The auditorium of a school can seat 417 people at a time. The principal wants all the 3,336 students of all the local schools to see a special film on wildlife. How many times must the film be shown so that every student may see the film once?
4. What must 789 be multiplied by to get 7898679?
5. The cost of a chair is 1536. A company collected 8154624 by selling chairs in one year. How many chairs were sold?
6. In one year (365 days), the total sale of a milk depot was 1422405 litres of milk. How much milk does it sell every day?
7. What should be added to 780629 so that the sum is exactly divisible by 493?
8. Find two numbers nearest to 8888888 which are exactly divisible by 2915.
9. A factory produced 1188440 bulbs in one year (365 days). How many bulbs did it produce in the month of August?
10. A farmer produced 475812 oranges of one kind and 651652 oranges of another kind. He mixed these oranges and packed in 296 boxes. How many oranges did he pack in a box?
11. A fruit seller bought 1490825 bananas. If 103 bananas were found rotten and the remaining were packed in 529 baskets, find the number of bananas in each basket.
Q-14
Choose the best estimate from the possible answers given.
(a) 62 x 88 = (5000, 5400,6000)
(b) 7 × 312 = (3100, 2500, 3000)
Q-15
Estimate the product and verify by actual calculation.
(a) 42 x 7
(b) 45 x 65
(c) 248 x 8
(d) 62 x 75
(e) 26 x 799
(f) 602 x 162
Chapter-4 Fractions
Q-1
Solve the following word problems:
(a) Two pieces of planks are glued together. The first piece is 5* 3/4 cm thick and the second piece is 3* 1/2 cm thick. Find the thickness of the wood if the glue is 3/10 cm thick.
(b) Anjali played for 3/8 of an hour and watched TV for 1/4 of an hour. How much longer did she play?
(c) A recipe needs 4*½ cups of sugar. Sona has 2*1/8 cups of sugar. How much more sugar does Sona need ?
(d) ) If 3*5/7 m of wire is cut from a length of 7* 9/11 m, how much wire is left?
Q-2
Simplify:
(a) 3* 3/4 * 1* 7/17 * 5* 3/8
(b) 2 * 2/3 * 7/8 * 3 * 1/4
(c) 3 * 1/2 * 3 * 2/4 * 6/70
Q-3
Solve it
1. Rohit has 48 stamps. He put 3 3 of the stamps in his album and gave the rest to 8 his friend. How many stamps did Rohit put in his album? How many did he give to his friends? What value of Rohit is depicted here?
2. Of the 54 books that Pooja had, 4 9 were story books. How many story books did she have? How many other books did she have?
3. Rajana has 720. She wants to buy a jacket that costs of the amount she has. What is the cost of the jacket?
4.Pooja uses 1/3 of a stick of butter in making a sandwich . She uses 5/8 of the remaining to make garlic bread. What fraction of the butter does she use in making garlic bread?
5. Ankit is 1*1/4 m tall. Rohit is 1*1/5 times as tall as Ankit. What is Rohit's height?
6. The length of the garden in Ankita's house is 15 m. Its breadth is 2* 2/5 times the length. What is the area of the garden?
7. 25 students contributed ₹ 7* 3 / 5 each to visit the school for special children and spent time with them. What was the total contribution? What value is shown by the students here?
Q-4
Subtract the following:
(a) 7/5 - 1/5
(b) 9/16 - 3/16
(c) 4* 3/7 - 9/7
(d) 7* 8/11 - 4* 5/11
(e) 8*1/2 - 4*1/3
(f) 5*4/5 - 2*1/3
(g) 22*5/6 - 15*5/8
(h) 12*15/16 - 8*2/5
Q-5
Find:
(a) 1/8 of 64
(b) 2/7 of 42
(c) 2/11 of 88
(d) 1/10 of 1500
Q-6
Subtract the following fractions:
(a) 1 - 3/5
(b) 1 - 8/22
(c) 9 - 4/7
(d) 10 - 2* 3/8
(e) 50 - 28* 5/7
(f) 100 - 91* 4/5
Q-7
Write the product in the simplest form:
(a) 4 * 5/9
(b) 9 * 1/3
(c ) 7 * 3/9
(d) 5 *1*7/8
(e) 10 *1* 2/11
(f) 19 * 4/38
(g) 90 * 14/105
(h) 110 * 21/55
Q-8
Fill in the blanks:
a. 1/4 means one part of the ______ equal parts into which the whole is divided.
b. 2/5 means ______ parts out of the 5 equal parts into which the whole is divided.
c. If one whole thing is divided into equal parts then each part is called _______ .
Q-9
Write the numerator and the denominator of each of the following fractions:
1. 1/6 Numerator = ______ , Denominator = ________
2. 4/9, Numerator = ______ , Denominator = ________
3. 2/11, Numerator = ______ , Denominator = ______
4. 6/14,Numerator =_______ , Denominator = _______
5. 9/13,Numerator= _____ , Denominator = ______
Q-10
Each shape is divided into equal parts. Copy or trace the shapes, and shade the fractions shown below them:
(a)
(b)
(c )
(d)
Q-11
What do we call :
(a) 1/2 of a year?
b) 1/60 of a minute?
(c) 1/24 of a day?
Q-12
Simplify these fractions:
(a) 4/10
(b) 5/25
(c) 15/20
(d) 14/27
(e) 40/100
(f) 25/75
(g) 63/105
Q-13
Which two equivalent fractions are shaded in each pair of diagrams? One has been done for you:
(a)
(b)
(c )
Q-14
Complete these calculations for the pairs:
Q-15
Fill in the boxes.
Q-16
Simplify:
(a) 4 *3/5 + 9* 1/3 - 4* 5/6
(b) 6* 3/10 - 2* 3/4 - 1* 3/5
(c) 5*1/4 + 1* 2/5 - 2* 7/8
Q-17
Multiply the following fractions:
(a) 1* 7/8 * 2* 1/5
(b) 7* 1/2 * 3* 1/9
(c) 2 *1/6 * 3* 1/6
(d) 9* 1/11 * 10* 1/12
(e) 2 *11/15 * 1* 42/72
(f) 1* 2/9 * 5* 5/4
(g) 2/4 * 2/5 * 25/75
(h) 7/11 * 33/42 * 14/55
Q-18
Fill in the blanks.
(a) 2/3 of 1 day = _______ hours
(b) 1/6 of an hour = ______ minutes
(c) 4/5 of 25km = ______ km
(d) 4/7 of a week = _____ days
(e) 5/12 of a minute = _____ seconds
(f) 2/25 of a metre = ____ centimetres
Q-19
Fill in the boxes with the correct symbol <, = or > to make a true statement.
(a) 3/8 ______ 5/8
(b) 5/6 _____ 2/ 6
(c ) 7/9 ______ 7/13
(d) 18/21 _____ 42/49
(e) 7/2 ____ 2/8
(f) 23/18 ______ 29/24
(g) 5/12 ____ 7/16
Q-20
Convert the pairs of unlike fractions into like fractions:
(a) 2/3, 3/4
(b) 4/5, 5/4
(c ) 9/14, 4/7
(d) 2/3, 1/6
Q-21
Write each of the following fractions as a mixed number:
(a) 22/9
(b) 47/8
(c) 44/12
(d) 59/8
Q-22
Express as an improper fraction in the lowest term :
(a) 1*2/4
(b) 3*4/6
(c) 15*1/9
(d) 14*2/5
Q-23
Arrange in ascending order :
(a) 1/8, 5/12, 2/6, 3/4
(b) 2/3, 1/2, 5/6, 3/5
(c) 7/12, 7/20, 7/14, 7/9
Q-24
Arrange in descending order :
(a) 7/8,1/6,3/4 , 2/3
(b) 1/2, 2/3, 1/3, 3/4
(c) 8/12, 8/14, 8/9, 8/10
Q-25
Add the following:
(a) 3/8 + 4/8
(b) 4/17 + 11/17
(c) 5/5 + 3/5
(d) 1/2 + 2/4
(e) 5/6 + 6/8
(f) 1/4 + 4/12
(g) 1/3 + 3/4 + 2/6
(h) 2/5 + 2/10 + 5/20
Q-26
Simplify:
(a) 3*1/5 + 3*2/5
(b) 1*1/10 + 2*1/3
(c ) 3*1/5 + 2*2/7
(d) 3*1/2 + 4*1/3 + 2 *1/4
(e) 5* 1/8 + 1* 1/2 + 5* 3/4 + 8* 3/8
(f) 13* 1/2 + 11* 1/6 + 20 + 12* 1/8
Q-27
Find the quotient in the simplest form.
1. 8 / (1/4)
2. 6 / (1/6)
3. 6 / (1/3)
4. 8/15 / (4/3)
5. 6/5 / (6/5)
6. 9 / (2/3)
7. 2/3 / 6
8. (4* 1/2) / 6
9. 1 / (4 *3/7)
10. (8* 4/7) / (4/21)
11. 0 / (6 *1/11)
12. 4/9 / 9
13. (2* 2/3) / (1* 2/3)
14. (3* 4/5) / (3/5)
15. 1/7 / (4/5)
16. (1* 11/15) / (1* 4/35)
17. (3* 3/17) / (2* 6/51)
18. 8/9 / (1/3)
Q-28
Solve
1. A teapot contains 2/7 l of tea. The tea is poured equally into 8 cups. How much tea is there in each cup?
2. Reema did her homework in 3*1/5 hours. She spent the same amount of time in each of her 4 subjects. What time did she spend on each subject?
3. . Prashant practises on his guitar 6*1/4 hours a week. If he practices 1*1/4 hours each 4 day, how many days does he practise each week?
4. A painter uses 3/5 of a can of paint to cover one wall of a house. How many cans of paint will he need to cover 6 such walls? How many walls will he paint using 15 cans?
5. How many 5 m rolls of wire can be cut from a roll of wire that is 48 m long?
Chapter-5 Decimal Fractions
Q-1
Add:
(a) 7.9, 43.05,9.648
(b) 38.273, 12,37.498,52.657
(c) 245.93,58.635, 21.96
Q-2
Write the fraction and the decimal that names the shaded region in each.
(a)
(b)
(c )
(d)
(e)
Q-3
Shade the region for each given decimal.
(a)
(b)
(c )
Q-4
Write the number-names of the following.
(a) 0.7 _____________
(b) 0.3 ______________
(c) 0.4 _____________
(d) 3.4 ______________
(e) 6.8 ______________
(f) 22.1 _____________
Q-5
Complete the following table.
Q-6
What fraction of each square is shaded? Write this fraction in the decimal form:
(a)
(b)
(c )
(d)
(e)
(f)
Q-7
Write a decimal for each mixed number. One has been done for you:
(a) ) 1*9/10 = 1.9/ _____
(b) 2*6/100 = ______
(b) 26*2/100= _____
(d) 5*47/100 = _____
Q-8
Write the decimal number-name:
(a) 5.17 = _____
(b) 27.88 = ______
(c) 420.54 = ______
(d) 231.73 = _____
Q-9
Complete the following table. One has been done for you:
Q-10
Write each of the following as a decimal:
(a) 6/10
(b) 37/100
(c) 68/1000
(d) 692 /1000
Q-11
Write each of the following in words:
(a) 9.8
(b) 6.15
(c) 49.59
(d) 221.184
Q-12
Write each of the following in numerals:
(a) Nine point three
(b) Fifty-eight point three
(c) Zero point zero two eight
(d) Forty-nine point two seven six
Q-13
The first arrow points to 0.1. Which numbers do the other arrows point to?
Q-14
Write the place value of the coloured digit:
(a) 52.38 ___________
(b) 29.35 _____________
(c) 5.804 ____________
(d) 299.57 ______________
(e) 23.038 ______________
(f) 48.476 __________
Q-15
Write in decimal form:
(a) 500+80+5+ 2/10*5/100+6/1000= _____________________
(b) 9×1000+7×100+0×10+6×1+ 1/10 +1/100 +8/1000 = ____________
(c) 7000+900+7+0.8+0.02+0.005 = _______________
(d) 400+70+.05 +0.006 = _______________
Q-16
Write in expanded form (in decimal form):
(a) 418.355 = ___________________
(b) 29.808 = ____________________
Q-17
Write in expanded form (in fractional form).
(a) 53.81
(b) 2.074
(c) 39.768
(d) 1068.003
Q-18
Multiply the place value of 7 in 379.58 by the place value of 6 in 2.361.
Q-19
Convert these unlike decimals to like decimals:
(a) 0.02, 9.836, 12.05, 30.47
(b) 5.03, 8.32, 18.405, 16.20
Q-20
Fill in the boxes using >, < or = :
(a) 5.62 _______ 3.26
b) 35.4 ________ 25.40
(c) 4.315 ________ 7.5
(d) 0.06 _______ 0.0006
(e) 32.51 ______ 33.51
(f) 0.09 ________ 0.90
Q-21
Write in increasing order:
(a) 60.006, 60, 60.06, 6.006, 6.660
(b) 9.303,4.035, 3.330, 6.331, 6.354
Q-22
Arrange these numbers in order from the largest to the smallest:
(a) 666.6, 6.666, 66.66, 66.06, 0.666
(b) 28.4, 8.7, 28.69, 30.02, 17.56.
Q-23
Subtract:
(a) 81.256 38.932
(b) 13.259-1.958
(c) 106-93.284
Q-24
Simplify:
(a) 3.58+1.23 +4.304-4.865
(b) 632.19+18.74-9.831-2.502
Q-25
Solve
1. Johnny buys two bottles of perfume; one contains 280.5 mL and the other contains 430 mL. How much more perfume is in the larger of the two bottles?
2.In the 2012 Olympics, the 400 metre race was won in 29.32 seconds. In 2016, it was won in 29.78 seconds. How much shorter was the running time in 2012 than in 2016?
3.The diameter of the earth at the equator is 12682.686 kilometres and through the poles it is 12639.968 kilometres. How much greater is the diameter at the equator than through the poles?
Q-26
Complete the table.
Q-27
Solve
1. A packet of 1 2 litre of milk costs 42.50. Find the cost of a 100 such packets.
2.A piece of ribbon is 4.5 cm long. Find in metres the length of a 100 pieces of ribbon.
3. A bag contains 45.92 kg of wheat. How much wheat is contained in 1000 such bags?
4. Take away 94.241 from 1011 and multiply the difference by 10,000.
Q-28
Multiply:
(a) 6.92 by 2
(b) 5.42 by 5
(c) 6.49 by 8
(d) 2.45 by 16
(e) 64.28 by 23
(f) 6.42 by 89
(g) 0.321 by 464
(h) 5.007 by 211
Q-29
If 1 litre of petrol costs 67.58, find the cost of 25 litres of petrol.
Q-30
Find the thickness of a layer of 429 sheets if the thickness of 1 sheet is 0.201 mm.
Q-31
Multiply:
(a) 1.8×0.9
(b) 2.19×0.5
(c) 2.99 x 18.3
(d) 0.009×3.6
(e) 1.018×1.72
(f) 98.56×9.2
(g) 3.18×0.17
(h) 0.2×0.9×0.7
(i) 25.821x3.45
Q-32
Multiply 5.329 by 8. Hence, write down the product orally, when 5.329 is multiplied by
(a) 80
(b) 800
(c) 0.8
(d) 0.08
Q-33
A curtain cloth is sold at the rate of ₹42.50 per metre. For how much can I get 17.5 m metres of this cloth?
Q-34
Mayank weighs 52.95 kg. His father is 2.25 times heavier than he is. Calculate his father's weight.
Q-35
Multiply:
(a) 75* 3/10 = ________
(b) 21/10 = _______
(c) 1777/1000 = _______
(d) 143* 17/100 = ______
(e) 543/10 = ______
(f) 57/1000 = ______
(g) 2* 259/1000 = ______
(h) 374/100 = ________
(i) 8/100 = ______
Q-36
Convert the following into decimals.
(a) 3/4 = ______
(b) 2/5 = ______
(c) 3/8 = ______
(d) 5/20 = ______
(e) 4/25 * = ______
(f) 17/50 = ______
(g) 2*1/5 = _____
(h) 12* 1/4 = _____
(i) 111* 9/50 = ______
Q-37
Write as fractions in the simplest form.
(a) 0.6 = _____
(b) 0.81 = _____
(c) 3.7 = ______
(d) 9.5 = _____
(e) 0.95 = _____
(f) 0.35 = _____
(g) 5.152 = _____
(h) 6.14 = _____
(i) 0.0259 = _______
Chapter-6 HCF and LCM
Q-1
Find the first :
1. two common multiples of 6 and 15.
2. three common multiples of 4 and 10.
Q-2
Write T for a true statement and F for a false statement:
1. 15 is a factor of 165.
2. The largest factor of 20 is 20.
3. 234 is a multiple of 18.
4. 36 is a factor of 18.
5. 12 is a factor of 108
6. The largest multiple of 14 is 14.
Q-3
Look at the number grid:Look at the number grid:
1. List the number encircled in all the 3 colours.
2. What is the smallest common multiple of 2, 3 and 4?
3. Cross all the factors of 60 in the above grid.
4. Write all the prime numbers between 20 to 50.
Q-4
Solve
1. What is the smallest prime number?
2. Write two prime numbers whose difference is 1.
3. Which of these are prime?
7,113, 207, 309, 407, 509
4. Write all composite numbers between 90 and 100.
Q-5
Which of the following pairs are co-prime?
(a) 18 and 30
(b) 49 and 81
(c) 15 and 57
Q-6
Which of these numbers are divisible by 3 or 4 or both?
a. 2498
b. 4,343
c. 6,538
d. 12,469
Q-7
Test the divisibility of the following numbers by 2:
a. 6,492
b. 9,64,350
c. 3,67,616
d. 7,87,405
Q-8
Test the divisibility of the following numbers by 3:
a. 70,336
b. 6,07,438
c. 80,82,746
d. 9,31,520
Q-9
Find the HCF of the following by listing factors:
1. 24, 28 and 36
2. 25, 40 and 50
Q-10
Find the HCF of the following by prime factorization:
1. 27 and 45
2. 42 and 30
3. 36 and 60
Q-11
Find the HCF by long division method:
1. 320,736
2. 144,252
3. 185,333,407
Q-12
Find the L.C.M. of the following numbers:
1. 8 and 14
2.5 and 8
3. 9 and 6
4. 16 and 32
5. 15 and 18
6. 12 and 15
7. 9 and 18
8. 15 and 45
9. 11 and 28
10. 15 and 25
11. 8, 10 and 20
12. 6,8 and 18
13. 4, 10 and 15
14. 7, 14 and 42
15. 15, 28 and 32
16. 20, 40 and 80
Q-13
Write in the index notation:
1.7×7×7×7
2. 4×4×4×4×4×4
3. 2×2×2×5×9×9×9×9
4. 12× 12 × 12
5. 10×10×10×10×7×7×7
Q-14
Write the prime factorisation of each of the following numbers using index notation:
1. 106
2.95
3. 48
4. 53 x 128
5. 6x26x32
6. 43x92x53
Q-15
Write the prime factorisation of each of the following numbers using index notation:
1. 54
2.45
3. 15
4. 80
5. 325
6. 450
7.95
8.98
9. 490
10. 120
Q-16
Draw a factor tree to find the prime factorisation of each of the following:
1.98
2. 210
3. 140
4. 315
5. 180
6. 120
Q-17
Fill up the vacant circles in each of the following factor trees.
Q-18
Find the H.C.F. of the following given numbers using prime factorisation method:
1. 45, 65 and 100
2. 30, 78 and 144
3. 24, 45 and 57
4. 24, 52 and 100
5. 40, 70 and 85
6. 18, 63 and 135
Q-19
Find the HCF of the following numbers by long division method:
1. 45, 36
2. 27, 45
3. 28, 42, 56
4. 44, 100
5. 54, 96, 120
6. 42, 84, 105
7. 121, 132, 143
8. 70, 98, 154
Q-20
Find the L.C.M. by prime factorisation method:
1. 16 and 40
2. 42 and 30
3. 35 and 40
4. 36 and 48
5. 24 and 36
6. 20 and 25
7. 42 and 91
8. 18 and 24
9. 50 and 100
10. 32 and 96
11. 4, 36 and 52
12. 18, 15 and 81
13. 12,54 and 66
Q-21
Find the L.C.M. by long division method:
1. 4,6
2. 13,39
3. 12, 15,
4. 38,72
5. 24,40
6. 30,45
7. 112,140,
8. 117,221
9. 88,99
10. 15,35,40 11
11. 6,8,42
12. 65, 115, 130
13. 40,48,90
14. 64,72,96
15. 75, 100, 120
16. 144, 80, 400
Q-22
Answer the following questions:
1. The product of two numbers is 3,750 and their L.C.M is 150. Find their H.C.F.
2. The product of two numbers is 25,024 and their H.C.F. is 8. Find their L.C.M.
Chapter-7 Integers
Q-1
Read the following:
1. +7
2. +27
3.-7
4.-17
5.-31
6. +36
7. +86
8.-49
9.-242
10. +240
Q-2
Read the following:
1. plus 10 +10
2. minus 17 ______
3. minus 26 _____-
4. plus 42 ______
5. minus 43 ______
6. minus 42 ______
7. plus 85 _____
8. minus 92 ______
9. minus 27 ______
Q-3
Write the opposite of:
1. +35 -35
2. +49 _____
3. +283 ____
4. +462 ____
5.-82 _____
6.-129 _____
7.-359 _____
8.-754 _____
9. +253 _____
10. +465 _____
11. +686 _____
12. +124 _____
13.-255 _____
14.-2538 ____
15.-206 _____
16.-1224 ____
17. +1264 _____
18.-2308 _____
19. +2036 _____
20.-2783 _____
21. +5070 _____
Q-4
Write the number which is next to the given number on the right:
1. +8 +9
2. +36 ____
3. +127 _____
4. +385 _____
5.-17 _____
6.-24 _____
7.-44 ____
8. +82 ____
9.-266 _____
10.-386 ____
11.-534 ____
12.-852 ____
13. +419 ____
14.-679 _____
15.-340 _____
16. +1008 _____
17.-2045 _____
18. +3605 ____
19.-2204 ____
20. +2756 ____
21.-424 _____
Q-5
Put the sign > or < in each blank one has been done for you.
1. +5 > -10
2.-25 ___+2
3. +17 ____ +15
4.-25 ____-20
5.-38 _____ -52
6.-167 _____ +10
7.-244 ____ -210
8.-252 _____ -160
9.-40 ______ -250
10. +367 _____ +25
11. +408 _____ +410
12. +185 ______-12
13. +242 ______ +157
14. -136 _____ -150
15. +242 ____ -196
16.-271_____ -920
17.-506 ______ +605
Q-6
Arrange the following integers in increasing (ascending) order:
1. +1,-10,-6, +4, +10,-20,-23
2.-4,-12, +1, +5,-15, -25, +20
Q-7
Arrange the following integers in decreasing (descending) order:
1.-9,-15, +4, +8,-12, 0, -17, +12
2. -12,-2, +5,-11,-5, 0, +2,-18
Q-8
Write the absolute value each of the following:
1. -7
2. +17
3.-9
4.-24
5. +27
6. +92
7. -47
8.-206
9.0
10. 124
Q-9
Find the value of :
1. |+24|
2. |-9|
3.|-15|
4.|-60|
5. |+27|
6. |+29|
7. |+48|
8. |-240|
9. |+292|
10.|-296|
Q-10
Use the number line given below and answer the questions:
A. Find the sum:
1. - 5 + (9)
2. - 3 + (6)
3. 2 + (9)
4. - 8 +)+4)
5. 10 + (4)
6. - 14 + (7)
7. - 12 + (17)
8. 10+(-12)
9. - 6 + (12)
10. - 7 + (5)
11. - 9 + (4)
12. - 15 + (11)
13.-4+(-4)
14.-5+(-9)
15. (3) + (9)
Q-11
Find the sum:
1.-5-(+2)
2. 7 - (6)
3.-3-(+5)
4.-6-(+4)
5.-1-(+2)
6. +3-(+8)
7. 5 - (7)
8. 2 - (4)
9.-3-(-0)
10. 2 - (11)
11. 6 - (12)
12.-4-(-9)
13.-2-(-6)
14.-5-(-6)
15.-6-(-2)
16. +5-(-8)
17. 4 - (4)
18.-8-(-4)
Chapter-8 Angles and Triangles
Q-1
Read the following:
1. a triangle
2. a rectangle
3. a polygon with 5 sides
Q-2
Using the compasses, draw a circle of diameter 6 cm.
Q-3
Find the diameter of the circle whose radius is:
1. 2.2 cm
2. 8 cm
3. 10 cm
Q-4
Identify and name the rays and line segments in the following figures:
(1)
(2)
Q-5
State whether the following lines are parallel or not:
Q-6
Write T for a true statement and F for a false one:
(1) Radius of a circle is double of its diameter.
(2) All squares are rectangles.
(3) A circle has only one centre.
(4) Every diameter of a circle is a chord.
(5) A circle is a polygon.
Q-7
Draw angles whose measures are :
1.40°
2.50°
3. 60°
4.75°
5. 35°
6.63°
Q-8
Solve
1. Draw any ∠COD smaller than 90° and bisect it by using a ruler and compasses. Check your results by using the protractor.
2.Draw any /XOY on a piece of paper and bisect it by folding the paper. Open out the paper and check whether the bisection is correct by using the protractor.
3.Draw an ∠EOF measuring 70° with the help of a protractor. Bisect ∠EOF by using the ruler and compasses. Check with a protractor whether the bisected angles are congruent.
Q-9
Measure each of the following angles with your protractor. Then state what type of angle it is.
Q-10
State whether the angle in each is acute, obtuse or right:
Q-11
Classify the following angles as zero, acute, right, obtuse, straight, reflex and complete angles:
1. 45°
2. 96°
3. 172°
4. 210°
5. 0°
6. 72°
7. 90°
8. 1°
9. 359°
10. 340°
11. 100°
12. 180°
13. 352°
14. 97°
15. 360°
Q-12
Draw angles whose measures are :
1. the angles of the triangle.
2. the sides of the triangle.
3. the triangle in three different ways.
4. the vertices of the triangle.
Q-13
Classify the triangles according to their angles:
1.
2.
3.
4.
5.
Q-14
Classify the triangles according to their sides:
1.
2.
3.
4.
5.
6.
Q-15
Fill in the blanks:
1. A triangle is called a right-angled triangle, if one of its angles is a ------------- angle.
2. If all the three sides of a triangle are equal, then the triangle is called an ------------ triangle.
3. If two sides of a triangle are equal to each other then the triangle is called an -------------- triangle.
4. A triangle is called an obtuse-angled triangle; if one of its angles is an ------------- angle.
5. A triangle is called an acute-angled triangle; if all of its angles are ------------- .
Chapter-9 Symmetry and Nets
Q-1
Using square graph paper, draw a net of or a cube with an edge 4 cm.
Q-2
Complete these letters from their halves:
Q-3
Find out which letters of English alphabet are symmetrical:
Q-4
Identify which of the following figures are symmetrical. In case of a symmetrical figure, draw the line (s) of symmetry:
Q-5
Draw the lines of symmetry for these shapes:
Q-6
Which letters of English alphabet have a rotational symmetry?
Q-7
Separate the letters of the word MOTHERLAND which have:
1. linear symmetry
2. rotational symmetry
3. no symmetry
Q-8
Do the following figures have rotational symmetry? If yes, find:
1. the angle of rotation 2. order of rotational symmetry.
Q-9
What is an example of symmetry of a semi-circle? Does it have a rotational symmetry?
Q-10
Give an example of a geometrical figure which has neither a linear symmetry nor a rotational symmetry.
Q-11
Which of the following nets can be used to make a cube?
Q-12
The numbers on opposite faces of a dice add up to 7. Draw a net for a cube and show the numbers on each face.
Q-13
Sketch the net of a cuboid which is 8 cm long, 3 cm wide and 4 cm high.
Q-14
The dimensions of the cuboid are: 3 cm x 2 cm x 1 cm.
1. How many faces does this cuboid have?
2. Sketch all faces of the cuboid showing their measurements.
3. Draw a net for the above cuboid.
Q-15
Draw the nets of the following shapes:
Q-16
Using a square graph paper, draw a net for a cube with an edge 2 cm.
Chapter-10 Measurement of Length , Mass and Capacity
Q-1
Express as m using decimals:
1. 504 cm
2. 924 cm
3. 6 m 72 cm
4. 14 m 24 cm
Q-2
Express as kg and g:
1. 2409 g
2. 2649 g
3. 15,342 g
4. 45,009 g
Q-3
Express as kg using decimals:
1. 120 g
2. 4328 g
3. 6 kg 496 g
4. 24 kg 85 g
Q-4
Express as ml:
1. 91
2. 641
3. 121569 ml
4. 57/150 ml
Q-5
Express as I using decimals:
1. 8004 ml
2. 24,645 ml
3. 71352 ml
4. 64/126 ml
Q-6
Add:
1. 5 cm 8 mm +8 cm 9 mm
2. 18 m 42 cm + 24 m 64 cm
3. 9 km 209 m + 36 km 425 m
4. 24 kg 123 g + 15 kg 642 g
Q-7
Subtract
1. 15 cm 8 mm-9 cm 9 mm
2. 94 m 26 cm-48 m 62 cm
3. 20/716ml-12/240 ml
4. 64/116 ml-281240 ml
Q-8
Convert:
1. 4 km into m
2. 9 hm into m
3. 17 dam into m
4. 9 km into dam
5. 5 m into cm
6. 16 hm into dm
7. 463 hm into m
8. 6.3 m into mm
9. 3.6 dam into cm
Q-9
Convert
1. 6000 m into km
2. 3500 dam into km
3. 2535 dm into dam
4. 5,500 m into hm
5. 5102 m into dam
6. 4,350 cm into m
7. 7925 cm into dam
8. 5020 mm into m
9. 5892 dm into hm
Q-10
Convert:
1. 25 kg into g
2. 7hgintog
3. 9 g into cg
4. 17 dag into dg
5. 5 kg into dg
6. 19 dg into mg
7. 2.8 kg into gm
8. 8.360 mg into dg
9. 94 hg into kg
Q-11
Express as metres :
1. 10 km
2. 12 km
3. 26 km 125 m
4. 425 km 50 m
Q-12
Convert:
1. 7,000 g into kg
2. 2,000 dag into kg
3. 3492 dg into dag
4. 59,130 dg into hg
5. 9,526 mg into g
6. 8,350 cg into g
7. 6,532 cg into dag
8. 8,360 mg into dg
9. 94 hg into kg
Q-13
Convert:
1. 5 klintol
2. 2 hl intol
3. 17/ into cl
4. 9 hl into dl
5. 25 dal into dl
6. 81 into ml
7. 73 dl into ml
8. 2.6/into ml
9. 2.4 dal into cl
Q-14
Convert:
1. 6,000/ into kl
2. 3,400 dal into kl
3. 2,619 kl into dal
4. 3,600 / into hl
5. 7,384/ into dal
6. 2,580 cl into /
7. 9,831 cl into dal
8. 9,431 ml into l
9. 43,940 cl into 1
Q-15
Convert:
1. 7 m206 mm into m
2. 7 kg 15 g into kg
3. 3 dam 50 dm into dam
4. 2,510 dam into km and dam
5. 2,513 cm into m and cm
6. 974 cg into g and cg
7. 5,120/into kl and /
8. 6,213 cg into dag and cg
Q-16
Add:
1. 6 km 42 m and 12 km 963 m
2. 15kg 816g and 26 kg 402
3. 8kl570/and 29 kl 6421
4. 12 cm 2 mm and 28 cm 9 mm
5. 48 m 46 cm, 12 m 45 cm and 9 m 67 cm
6. 17 g 126 mg, 26 g 426 mg and 35 g 924 mg
7. 61752 ml and 25/424 ml
8. 46 km 87 m and 92 km 105 m
9. 242 kg 25 g and 276 kg 856 g
10. 650 m 90 cm, 82 m 40 cm and 82 m 12 cm
11. 410/ 116ml, 219/419 ml and 6731 218 ml
12. 44 m 26 cm, 38 m 65 cm and 12m 42 cm
Q-17
Subtract:
1. 17 kl 4301 from 65 kl 3261
2. 75 kg 850 g from 106 kg 250 g
3. 40 km 703 m from 95 km 576 m
4. 15g 276 mg from 56 g 150 mg
5. 76 m 91 cm from 154 m 17 cm
6. 42 cm 8 mm from 78 cm 5 mm
7. 11 m 70 cm from 65 m 35 cm
8. 45/895 ml from 624/495 ml
9. 495/192 ml from 702199 ml
10. 506 kg 493 g from 812 kg 124 g
11. 675 m 90 cm from 915 m 45 cm
12. 6551619 ml from 1,206 / 704 ml
Q-18
Solve the following questions :
1. Seema travelled 16 km 224 m by car 12 km by bus and 4 km 245 m on foot. Find the total distance travelled by her.
2. Pooja purchased 15 m cloth. She used 6 m to make her salwar kameez, 3 m to make a shirt and 1 m 25 cm to make a pair of pants. Find the total length of the cloth left with Pooja.
3. Priyanka went to her cousin's house which was 50 km 500 m away from her home. She covered 27 km 250 m by car, 17 km 542 m by bus and rest by rickshaw. Find the total distance covered on rickshaw.
4. Radha was going to Agra 250 km away. She covered 125 km 250 m by train, 17 km by bus and rest on foot. Find the distance she covered on foot.
Q-19
Multiply:
1. 5 km 126 m by 9
2. 12 kg 225 g by 5
3. 9 kl 432/by 5
4. 8 cm 9mm by 7
5. 25 m 16 cm by 8
6. 9g214 mg by 3
7. 4/208 ml by 9
8. 4 m 15 cm by 5
9. 17 km 125 m by 6
10. 28 kg 408 g by 9
11. 139 m 60 cm by 4
12. 35 kl 205/by 8
13. 63 kg 125 gby 8
14. 114 cm 7 mm by 5
15. 250 g 400 mg by 9
Q-20
Divide:
1. 9 km 12 m by 3
2. 11m4 cm by 2
3. 19 kg 296 gby 4
4. 150 g 144 mg by 8
5. 16/18 ml by 52
6. 9 kl 126/by 5
7. 32 cm 5 mm by 5
8. 25 kg 832 gby 8
9. 49 km 111 m by 9
10. 114 kg 275 g by 7
11. 97g371 mg by 4
12. 250 m 30 cm by 5
13. 63 kg 125 g by 8
14. 114 cm 7 mm by 5
15. 250 g 400 mg by 9
Q-21
Solve the following questions:
1. A bottle contained 8/125 ml of mineral water. 6 such bottles were emptied into a large vessel. What would be the quantity of mineral water in the vessel?
2. 81255 ml of milk was distributed equally among 5 children. How much milk was given to each child?
3. The weight of 8 large registers is 25 kg 224 g. Find the weight of 1 register.
4. An iron rod of length 64 m 14 cm is cut into 8 equal pieces. What is the length of each piece?
5. A train covers a distance of 240 km 992 m in 10 hours. What distance does the train cover in 1 hour?
Chapter-11 Perimeter and Area
Q-1
Madhovpur village has many fields. Find out the perimeter of each field shown here:
Q-2
Find the perimeter of the rectangle whose sides are:
1. 5 cm and 4 cm
2. 3 cm and 5 cm
3. 8 cm and 5 cm
4. 7 cm and 8 cm
5. 4 cm and 10 mm
6. 15 cm and 10 cm
Q-3
Find the perimeter of the square whose side is:
1. 4 cm
2.12 cm
3.9 cm
4. 25 cm
5. 60 mm
Q-4
Find the perimeter of the triangle whose sides are:
1. 5 cm, 4 cm and 7 cm
2. 2 cm, 4 cm and 5 cm
3. 3 cm, 5 cm and 6 cm
Q-5
Find the perimeter of each of these shapes:
Q-6
Find the area of the following squares:
Q-7
Find the area of the following rectangles:
Q-8
Find the area of the following rectangles with sides:
1. 1 mand 72 cm
2. 80 cm and 22 cm
3.8 cm and 6 cm
4. 125 m and 84 m
5. 21 cm and 11 cm
6. 24 cm and 17 cm
7. 24 cm and 41 cm
8. 16 mand 6.2 m
9. 32 m and 22 m
10. 4 m and 40 cm
Q-9
Find the area of the square with side:
1. 22 m
2. 22 cm
3. 42 m
4. 37 m
5. 55 m
Q-10
Solve:
1. Reena bought a carpet 11.5 m long and 9 m broad. Find its area and perimeter.
2. A table top is covered with 12 squares of equal size. If the side of the square is 5 cm, find its area and perimeter.
3. A swimming pool is 12.5 m long and 11 m broad. Find its area.
Q-11
Find the area of the figures drawn on a 1-cm squared paper by counting the squares:1. 2. 3. 4.
Q-12
Find the area.
Q-13
Copy and complete the table for the area of the rectangle:
Q-14
Find the area of the square whose side is
1. 4 cm
2.9 cm
3. 14 cm
4. 1.8 cm
Chapter-12 Money
Q-1
Write in the short form:
1. 4 rupees 20 paise = ₹ ------------
2. 90 paise =₹ ---------------
3. 60 rupees 30 paise = ₹ --------------
4. 60 rupees 20 paise = ₹ ------------
Q-2
Convert into paise:
1. 9 rupees = -------------- paise
2. 15 rupees = --------------- paise
3. ₹6.50 = ------------- paise
4. ₹0.95 = ------------- paise
Q-3
. Add/Subtract:
1.
2.
3.
Q-4
Add:
Q-5
Subtract:
Q-6
Multiply:
Q-7
Divide:
1. ₹ 71315.2/12
2. ₹ 8464.5/9
3. ₹ 522.40/8
4. ₹ 94556/11
5. ₹ 7112.42/7
6.₹1689.75/15
7. ₹42.9/6
8. ₹2029.05/9
9.₹1315.2/12
Q-8
Using the list, prepare a bill for each of the following purchases:
a. 1 kg pulses, 150 g facial cream, 100 g toothpaste, 3 packets of biscuits.
b. 2 kg flour, 1 litre refined oil, 200 g soap, 1 kg sugar, 200 g namkeen.
c. 3 kg rice, 1 kg pulses, 1 kg salt, 2 packets of biscuits.
d. 4 kg rice, 2 kg pulses, 1 kg sugar, 2 packets of biscuits, 1 litre refined oil, 150 g facial cream.
Q-9
Solve it
1.Kavita had ₹300.00. She bought a book for ₹50.50 and a copy for ₹125.50. How much money was left with Kavita?
2.Pooja purchased a ribbon for 10.25, some nail polish for 150.40 and bangles for 20.20. She gave a 200-rupee note to the shopkeeper. How much money did she get back?
3.I have a 50-rupee note. I buy an ice-cream for 15.75 and a chocolate for 18.30. How much do I have left with me?
Chapter-13 Time
Q-1
Write the time for each clock:
Q-2
Draw the two hands to show the time:
Q-3
Write the time using a.m. or p.m.:
1. 9:05 in the morning
2. 4:35 in the evening
3. 1:15 in the night
4. 5 hours after 12:30 a.m.
Q-4
Solve
1.Find the time duration between 9:20 a.m. and 1:05 p.m.
2. What date is 20 days after 7th September?
3.How many days are there from 9th June to 16th August?
Q-5
Convert the following into minutes :
1. 12 hours
2. 9 hours
3. 5 hours 25 minutes
4. 12 hours 15 minutes
5. 6 hours 50 minutes
6. 6 hours 14 minutes
Q-6
Convert the following into hours:
1. 5 days
2. 4 days 2 hours
3. 6 days 5 hours
4. 5 days 24 hours
5. 5 weeks 12 hours
6. 9 days 72 hours
Q-7
Convert the following into hours and minutes:
1. 800 minutes
2. 640 minutes
3. 720 minutes
4. 3492 minutes
5. 2490 minutes
6. 2420 minutes
Q-8
Convert the following into seconds :
1. 4 minutes 50 seconds
2. 8 minutes 19 seconds
3. 11 minutes 50 seconds
4. 10 minutes 15 seconds
5. 14 minutes 55 seconds
6. 10 minutes 50 seconds
Q-9
Convert the following into minutes and seconds :
1. 600 seconds
2. 3600 seconds
3. 500 seconds
4. 240 seconds
5. 1000 seconds
6. 1200 seconds
Q-10
Convert the following into days and hours:
1. 920 hours
2. 735 hours
3. 240 hours
4. 450 hours
Q-11
Convert the following into days:
1. 4 months 5 days
2. 6 weeks 4 days
3. 5 months 15 days
4. 9 weeks
5. 12 weeks
6. 13 weeks
Q-12
Convert the following into weeks and days:
1. 50 days
2. 74 days
3. 60 days
4. 108 days
5. 120 days
Q-13
Convert the following into months and days:
1. 150 days
2. 308 days
3. 7 weeks
4. 12 weeks
5. 65 weeks
Q-14
Convert the following into months :
1. 4 years 6 months
2. 6 years 6 months
3. 12 years 6 months
4. 2 years 12 months
5. 15 years 9 months
Q-15
Add the following:
1. 17 minutes and 25 minutes 42 seconds.
2. 6 hours 40 minutes 23 seconds and 2 hour 36 minutes 25 seconds.
3. 65 minutes 15 seconds and 17 minutes 13 seconds.
4. 13 hours 50 minutes 35 seconds and 20 hours 27 minutes 42 seconds.
5. 20 hours 34 minutes 9 seconds and 8 hours 48 minutes 36 seconds.
6. 47 years 7 months and 11 years 5 months.
7. 15 years 5 months and 8 years 12 months.
8. 25 years 6 months and 14 years 2 months.
Q-16
Subtract the following:
1. 20 hours 32 minutes from 25 hours 42 minutes.
2. 8 hours 25 minutes from 12 hours 10 minutes.
3. 6 hours 4 minutes 46 seconds from 12 hours 40 minutes 32 seconds.
4. 25 hours 42 minutes 50 seconds from 30 hours 25 minutes 36 seconds.
5. 30 months 26 days from 39 months 24 days.
6. 18 years 5 months from 25 years 5 months.
7. 15 years 7 months from 20 years 9 months.
8. 26 years 10 months from 32 years 4 months.
Q-17
Find the duration of time:
1. 6:15a.m. to 12:00 noon
2. 8:30 a.m. to 3:50 p.m.
3. 4:10 p.m. to 12:00 midnight
4. 9:20 p.m. to 2:10 a.m.
Q-18
Solve it
1. Shreya sleeps at 10:30 p.m. and gets up early at 5:15 p.m. How long does she sleep?
2.A bus left Lucknow at 6:10 a.m. and reached Delhi at 11:00 p.m. the same day. How long did it take to reach Delhi?
3.A train leaves Agra Fort at 1915 hours on Monday and reaches Marwar junction at 1130 hours on Tuesday. How long does it take Saurav to reach Marwar if he boards the train at Agra Fort?
Chapter-14 Percentages
Q-1
Write each of the following as a per cent:
1. 31/100
2. 27/100
3. 59/100
4. 82/100
5. 91/100
6. 92/100
7. 102/100
8. 192/100
9. 142/100
10. 182/100
Q-2
Express each of the following per as a fraction in its lowest :
1. 4%
2. 6%
3. 25%
4. 40%
5. 65%
6. 11.9%
7. 32.5%
8. (9* 1/3)%
9.6 (6* 4/5)%
10. (11* 5/8)%
11. 105%
12. 140%
13. 108.5%
14. 202%
15. 500%
Q-3
Convert each of the following per cents into a decimal:
1. 22%
2. 35%
3. 71%
4. 83%
5. 92%
6. 93%
7. 5.4%
8. 25.8%
9. 147.5%
10. 63.2%
11. 115%
12. 154%
13. 210.75%
14. 180%
15. 300%
Q-4
Convert each of the following fractions into a per cent:
1. 7/20
2. 4/5
3. 21/25
4. 34/50
5. 7/10
6. 13/40
7. 5/10
8. 17/50
9. 14/26
10. 21/50
11. 18/25
12. 21/10
13. 9/50
14. 126/125
15. 62/20
Q-5
Convert each of the following decimals into a per cent :
1. 0.05
2. 0.17
3. 0.21
4. 0.36
5. 0.49
6. 0.92
7. 0.89
8. 0.95
9. 0.4
10. 0.08
11. 1.12
12. 1.7
13. 0.68
14. 2.6
15. 2.96
Q-6
Write each of the following as a per cent of a kilogram:
1. 70g
2. 100 g
3. 225 g
4. 640 g
5. 900 g
Q-7
Find the value of :
1. 15% of 60
2. 42% of 50
3. 2% of 135
4. 23% of 300
5. (4 *1/2)% * 1200
6. 36% of 1850
7. 92% of 6350
8. 63% of 1260
9. 28% of 11050
10. 63% of ₹60
11. 25% of 44
12. 30% of 80
13. 72% of 75
14. 90% of 300
15. 17.5% of 120
16. 45% of 788
17. 82% of 5400
18. 28% of 11050
19. 18% of 2 km
20. 40% of 4 hours
Q-8
Find the number whose:
1. 12% is 20
2. 1% is 5
3. 35% is 70
4. 42% is 67
5. 75% is 525
6. 1% is 1
7. 8% is 100
8. 40% is 1060
Q-9
Solve
1.In a test, Amrita scored 28 marks out of 70. What percentage of marks did she score?
2.The population of a village is 3,250. Out of these 52% are males. Find the number of males in the village. Also, find the number of females in the village.
3.Prashant secured 1,044 marks in his annual examination. This was 72% of the total marks. Find the maximum marks.
4.In a class, 95% of the students are present and 2 students are absent. What is the strength of the class?
5.There are 975 students in a school. Out of which 312 are girls. Find the percentage of boys in the school.
Chapter-15 Data Handling
Q-1
Look at the bar graph and answer the following questions:
Marks obtained by a student in different subjects
1. Write the total number of marks obtained by the student.
2. In which subject did the student score minimum marks?
3. In which subject did the student score maximum marks?
Q-2
Read the following graphs and answer the given questions:
(a) On which day was the temperature maximum?
(b) Which day was coolest?
(c) What was the temperature on Sunday?
(d) What was the temperature on Monday?
(e) Find the difference between the temperatures on Wednesday and Thursday.
Q-3
The following table shows the marks obtained by the student in different subjects out of 50. Draw its bar graph.
Q-4
Different fruits in Rinki's refrigerator are given in the following table. Represent it by a horizontal bar graph.
Q-5
The given circle graph shows the different pets kept by the people of a society. Look at the circle graph and answer the following questions:
1. Which is the most popular pet?
2. Which pet is the least popular?
3. Which two pets are equally popular?
Q-6
The circle graph for different fast foods liked by the students of a class is given below. Observe the graph and answer the following questions:
1. Which food is most popular?
2. Which food is the least popular?
3. Which foods are liked by an equal number of students?
4. If there are a 100 students in the class, how many students like Pizza?
5. If 20 students like Sandwich, how many students are there in the class?
Q-7
Read it and answer the following questions:
(a) What fraction of the total children likes burgers?
(b) What fraction of the total children likes rice?
(c) What is the most liked food of the children?
(d) How many more children like idli than chapati?
Q-8
Answer the questions based on the pie graph below.
(a) Between History and Hindi which topic took longer, or did it require equal time? ------------------
(b) What percentage of time did Honey spend on the English and Health homework? ---------------
(c) Was the History and Hindi work or the Science and Art work longer or were they equally time-consuming? -----------
(d) If Honey spent a 100 minutes on homework, how many minutes were spent on Art? -------------
(e) Combined, which two topics required the greatest amount of time? ---------
Q-9
The following line-graph shows the students ages between 9 years to 15 years in a school. Observe the line graph and answer the following questions.
1. How many students are there in the school who are 12 years old?
2. What was the greatest number of students at any age?
3. What information does the line graph depict?
4. What is the range of value on the horizontal axis?
Q-10
The graph given below shows the temperatures in New Delhi in the month of June over a period of 6 days. Look at the graph carefully and answer the questions that follow.
1. On which day was the lowest temperature recorded?
2. What was the highest temperature recorded?
3. What was the temperature recorded on day 4?
4. Was the temperature lower or higher on day 4 than day 2?
5. What is the fall in temperature from day 2 to day 3?
Q-11
Look at the graph and answer the following questions:
1. What was his weight at the time of birth?
2. What was his weight after 3 months?
3. Is he gaining or losing weight?
4. What was his approximate weight when he was 3 months old?
Chapter-16 Patterns
Q-1
Find the next term in each of the given patterns:
1. Aa, Bb, Cc, Dd, Ee, ----------------
2. 100,201, 302, 403, ------------------
3. AZ, AY, AX, AW, ----------------
4. AAB, BBC, CCD, DDE, --------------
5. AD, EH, IL, -------------
6. 12, 2Y, 3X, 4W, ------------
7. ABC, ZYX, DEF, WVU, ------------
8. 990,880,770, 660, -----------
9. 112,223, 334, 445, -----------
10. KL9, LM8, MN7, -----------------
Q-2
Identify the magic numbers in the following magic triangles:
Q-3
Fill in the blanks to get a magic square. Also, find the magic number:
Q-4
Create a magic triangle using the numbers from:
1. 12 to 17
2. 8 to 13
3. 25 to 30
Q-5
Complete the following patterns:
