web viewbluebell step in maths 4model-papers. model paper - 1 (term -i) time allowed: 2 hoursmarks:...

Bluebell Step in Maths 4 Model-Papers

Model Paper - 1(Term -I)

Time Allowed: 2 Hours Marks: 50A. Write the following numbers in words. Any five. (5)1 6381

2 9837

3 6549

4 2046

5 7891

6 3008

7 9999

B. Compare. Write >,< or = for each . (Any five) (5)

2 31 6890 6390 2529 2578 3983 3783

4 5 66703 6703 2089 2980 5808 5088

C. Look at the beads. Write the number placing the comma

correctly. Also write the number name. Any five. (5)1 2

T Th Th H T O T Th Th H T O

1


3 4T Th Th H T O T Th Th H T O

5 6T Th Th H T O T Th Th H T O

D. Write the numbers in order from greatest to least. Any five. (5)

1 22,380 23,809 23,210

2 87,291 92,275 92,575

3 89,001 89,000 80,125

4 43,123 42,127 43,834

5 99,908 99,900 99,901

6 18,222 18,220 18,212E. Solve these Questions. Any two. (10)

1

Find the difference between the largest 6-digit number and the smallest 4-digit number.

2


2 There were 786543 trees in a forest. In another forest there were 859142 trees. How many more trees were there in the second forest?

3 A shopkeeper earns Rs. 760980 in one year and Rs. 87095 in the second year. How much money does he have in two years?

F. Copy and multiply. Any two. (10)

1 550 2 775 3 355× 36 × 18 × 12

G. Divide and check your answer. Any two. (10)1 4 831 2 3 626 3 4 835

3



Time Allowed: 2 Hours Marks: 50A. Write the following in numbers. Any five. (5)1 seven thousand, six hundred and sixty-one

2 three thousand, one hundred and eighty

3 nine thousand, nine hundred and ninety-one

4 six thousand and one

5 two thousand and ninety-six

6 two thousand and seventy

7 four thousand, four hundred and forty-one

B. Write the number name. Any five. (5)

1 19,008 2 89,650 3 22,254 4 95,251 5 13,250

6 14,555 7 13,253 8 23,152 9 99,889 10 23,584

C. Write each number in standard form. Any five. (5)

1 40,000 + 3,000 + 100 + 60+ 2 290,000 + 400 + 70 + 3

3 70,000 + 2,000 + 70 + 2 4 60,000 + 200 + 20 + 5

5 thirty-one thousand, three hundred 6 twenty thousand and forty-

and twelve seven

4

Bluebell Step in Maths 4 Model-PapersD. Use the number line to round each number to the nearest

thousand. Any five. (5)

6,000 6,500 7,000

1 6,700 2 6,287 3 6,981 4 6,046 5 6,502 6 6,492

E. Arrange these numbers in descending order. Put commans

according to both the standards. Any two. (10)

1 246534 264543 254344 245634

2 987654 986573 965734 967533

3 778765 986573 965734 967533

F. Solve these problems. Any one. (5)1 Umar saves Rs. 860 in a day. How much will he save in a year of 365

days? 2 A fishmonger sold 170 fish at Rs. 465 each. How much money did he

receive from the sale of the fish?G. Find the product. Any two.

1 1065 2 5012× 93 × 65

(5)3 3150

× 32

H. Do the following divisions and check your answer. Any two. (10)

1 7245 ÷ 84 2 1421 ÷ 43 3 488 ÷ 23


Model Paper - 3 (Term -I)

Time Allowed: 2 Hours Marks: 50A. Write the number names according to the international way

by placing commas correctly. Any five. (5)

1 999999

2 654926

3 414329

4 567765

5 909370

6 215316

B. In the number 796381. (5)1 The value of the digit 6 is

2 The digit is in the hundred thousands place.

3 The value of the digit 9 is

4 The digit 1 is in the place.

5 The digit 3 is in the place.

C. Write in Arabic Numerals. Any two. (5)(i) LV (ii) CLXV (iii) CCXXXV (iv) DLXD. Solve these word problems. Any two. (10)1 The number of visitors to the Lahore Fort during two consecutive months was 654321 and 145698 respectively. Find the total number of visitors in two months.

6


2 The total population of five villages is 90565. The number of men and women is 56592. Find the number of children in these villages. 3 Find the difference between the largest 6-digit number and the smallest 4-digit number.

E. Write vertically and multiply. Any two. (10)1 213 × 109 2 750 × 350 3 949 × 342

F. Solve the following questions. Any two. (10)1 A dozen pens cost 150 rupees. How much would a hundred pens

cost?

2 Osama saves Rs. 150 in 5 days. What will he save in 30 days?

3 If 60 boxes are needed for 6000 pens. How many boxes will be needed for 2000 pens?

G. Solve. Any one. (5)1 What is the product, if 1652 is multiplier and 92 is the

multiplicand?

2 There are 1440 minutes in a day. How many minutes are there in 17

weeks?

7



Time Allowed: 2 Hours Marks: 50A. Write the predecessor of each number. Any five. (5)

1 2 349,800 61,691 91,989

4 5 692,880 10,001 13,382

B. Place the commas, first in the Pakistani way and then in the

international way. Any five. (5)1 2

567894 161290

3 4381381 256098

5 6140040 239598

C. Write the place value of the circled digits. Any five.(5)

1 3459871 2 3024561

3 6093244 4 1245327

5 1130098 6 2514601

D. Write the Roman Numerals. Any two. (5)(i) 2013 (ii) 540 (iii) 396E. Solve. (10)

1

Subtract the sum of 243168 and 917843 from the sum of 643987 and 801381.

8

Bluebell Step in Maths 4 Model-PapersF. Solve the following questions. Any two. (10)1 Osama saves Rs. 150 in 5 days. What will he save in 30 days?

2 If 60 boxes are needed for 6000 pens. How many boxes will be

needed for 2000 pens?3 A truck runs 690 Km in 46 litre petrol. How many Km can it

run on 52litre petrol?

G. Add the following. Any two. (10)1 56543 2 465324 3 261987

+ 29456 + 404309 + 134561

9


Model Paper - 1 (Term -II)

Time Allowed: 2 Hours Marks: 50A. Write the factors of each number, then identify the number

prime to composite. Any two. (5)1 6 2 7 3 15

B. Complete each factor tree. Then write the prime factorization.

1

Use exponents if possible. Any one. (5)2

328 × 90

2× × × × 10

2× × × × × × ×5

C. List the factors of each number. Then find thegreatest

common factor (GCF) of the numbers. Any one. (5)1 2

65 6875 85GCF GCF

D. Find the LCM . (5)1 6, 7

E. Simplify each fraction. Any one. (5)1 24 2 35 3 36

44 15 30

F. Compare. Write >, < or = for each . Any two. (5)1 2 3

5 3 3 2 4 610 5 8 6 10 16

10

Bluebell Step in Maths 4 Model-PapersG. Separate each fraction as proper or improper. (5)1 2

2 5 17 15 13 18 6 9 8 7 13 29

H. Write an improper fraction for the shaded parts. Then write

each as a mixed number or a whole number. Any five.(10)1 2 3

4 5 6

I. Solve these problems. (5)1

2 Sufyan got two new computer games for his birthday. He spent of an hour

6 5

playing Space Adventure and of an hour playing Puzzles and Mazes. How

6 much total time did he spend playing the computer games? Which game did he play longer? How much longer?

11


Model Paper - 1(Term -II)

Time Allowed: 2 Hours Marks: 50A. Find the first three common multiples of. Any two. (5)1 2 3

9 3 812 4 12C.M C.M C.M


Use exponents if possible. Any one. (5)1 2

90 44× 10 4×

× × ×5 × ×

C. Use factor tree method to find the GCF in the given space.

Any one. (5)1 2

12 22 24 36

GCF GCFD. List the multiples to find LCM. Any one. (5)1 2

28 4834 44LCM LCM

12

Bluebell Step in Maths 4 Model-PapersE. Write each fraction in the simplest form. Then write another

equivalent fraction. Any one. (5)1 2

6 6 ÷ 3 8 8 ÷ 29

69

= = = =9 ÷ 3 10 10 ÷ 26 × 3 8 8 × 3

= = = =9 × 3 10 10 × 3 F. Order each group of fractions from greatest to least.

(5)1 2

4 1 5 1 3 58 4 8 3 6 8

G. Find the fraction part of each number. (5)1 2 3

4 2 46 of 24 9 of 54 8 of 64

H. Add or subtract the fractions. Use the common denominator

that you found.4 5 8 8

(10)

1 +3 212 5 - 11

I. Simplify and change these improper fractions into mixed

numbers. (5)14 15

1 6 2 4


Model Paper - 3 (Term -II)

Time Allowed: 2 Hours Marks: 50A. Write the factors of each number, then identify the number

prime or composite. Any two. (5)1 25 2 29 3 49


Use exponents if possible. Any one. (5)1 2

54 189 × 6 9× 2

3× ×2×3 3× ×2

C. Use factor tree method to find the GCF in the given space.

Any one. (5)1 2

24 36 35 42

GCF GCFD. Write the prime factorization of each number. (5)1 24 2 26E. Complete. Any two. (5)1 2 3

18 3 24 242 = 7 12 =

14

3 = 9

Bluebell Step in Maths 4 Model-PapersF. Compare. Write >, < or = for each (5)

1 22 9 5 27 3 8 9

G. Write what mixed numbers the picture illustrator. Any five.(10)

1 2

3 4

5 6

H. Solve. Any two.1

Aslam served pizza at his birthday party. Aslam ate

36

(10)

of pizza and Ali ate

25 of the same pizza. How much more did Aslam eat than Ali?

2

At the party, 1

8 of the guests were 9 years old,

38 of the guests were 10

years old and 48 of the guests were 11 years old. What fraction of

the guests were9, 10 or 11 years old?

3

Sadiq swims a race in 29 3

10 seconds. Umer swims the race in 33

310

seconds. How much faster was Sadiq than Umer?


Model Paper - 4(Term -II)

Time Allowed: 2 Hours Marks: 50A. Find the first three common multiples of. (5)1 8 2 2

12 6C.M C.M

B. List the factors of each number. Then find thegreatest

common factor (GCF) of the numbers. Any one. (5)1 35 2 57

45 80GCF GCF

C. Write the first five multiples of each number. (5)1 6 2 14

D. Complete. Any two. (5)1 21 2 6 3 3 10

27 = 9 30 = =25 50 E. Find the fraction part of each number. Any two. (5)

5 1 71

8 of 24 23 of 30 3 of 147

F. Simplify and change

numbers. Any two.

161

these improper fractions into mixed

(10)255 710

1 14 2 13 3 16G. Copy and complete.

4(10)

51 2

+4

10110

2 5

-5636

H. Solve.1 Nasreen made two types of cookies. She used 1 23

(5)cup of sugar for one

recipe and 2 use in all?

13 c

up of sugar for the other. How much sugar did she

16


Model Paper - 1(Term -III)

Time Allowed: 2 Hours Marks: 50A. Write these fractions as decimals. Any two. (5)

7 50 111 2 3

10 100 100B. Write decimal for each. Any five. (5)1 2

fifty and six tenths. zero point zero, eight, zero3 4

zero point six. eight point nine, zero, zero5 6

nine point three. three and eight tenths.

C. Find the missing digit. Any five. (10)1 2 3 4

84 4 4510

5

6

= 0.9

6

= 6.38

100

87

= 0. 4 8

7

= 0. 7 8

10

7

=

8

= 555

= 4.5

= 55.5

100 100 10

D. Order the numbers from greatest to least. Any one.(5)

5 7 50 61 5.5 9.5 7 2 9 6.3 6.5 3

10 10 100 10

E. Round each decimal to the nearest tenth. (5)1 32.21 2 10.32

17

Bluebell Step in Maths 4 Model-PapersF. Solve. Any one (5)1 Areeba grew 0.96 centimetres last year and 0.8 centimetres this year. How many centimetres did Areeba grow in two years?

2

Mr. Akram raises honeybees for a living. Today he collected 10.28 kilograms of dark honey and 20.65 kilogrms of light honey. How many kilograms of honey did Mr. Akram collect today?

G. Divide. Any one. (5)1 42.6 ÷ 3 2 0.366 ÷ 6

H. Work out the answers in your note book. Any one. (5)Mrs Akram baked 250 cookies. She gave away 50 of these cookies to

1

2

I.

her friends and neighbours. What percent of the cookies was left with her?

There are 80 words in a spelling competition. The winner spelt 90% of them correctly. How many words did he spell correctly?

Write as a percent. Any one. (5) 3

1 100 2 17 out of 50

18



Time Allowed: 2 Hours Marks: 50A. Write each decimal name in two ways. Any five. (5)

1 2

1.90 36.95

3 4

400.8 40.9

5

20.8

B. Write in decimals.1

8

6

7.09

(5)2

612100 3 10

C. Write the following in expanded form. Any one. (5)1 615.303 2 115.717

D. Order these numbers from least to greatest. Any two.(5)

1 1.460 7.840 6.550 9.980

2 6.056 5.056 4.056 7.056

3 2.500 2.401 2.502 2.309

E. Multiply to find the product. Any one. (5)

1 9.81 × 6.53 2 17.65 × 11.59

19

Bluebell Step in Maths 4 Model-PapersF. Divide. Any one. (5)1 0.366 ÷ 6 2 3.46 ÷ 8

G. Change these into km. (10)1 4608 m 2 80 DmI. Write each percent in fraction and decimal form. Also simplify.(5)1

J.

1

41% 2 59%

Work out the answers in your note book. (5)

There are 80 words in a spelling competition. The winner spelt 90% of them correctly. How many words did he spell correctly?

20



Time Allowed: 2 Hours Marks: 50A. Order the numbers from greatest to least. Any one.

(5)1 666 9.5 8 8 4.0 2 3.6 4 5 6 6 3.010 10

B. Write in word form.

756

10 10

(5)401

1 1000 2 1000 C. Round decimals to the place of the underlined digit.

(5)1 58.25 5 2 36.550

D. Multiply to find the product. Any one. (5)1 21.09 × 1.4 2 32.11 × 6.50E. Divide. (5)

1 Anum and Erum made 8 samosas in 33.5 minutes. How long did they

take to make 1 samosa? F. Give the number for each changed unit. Any one. (5)1 5.29 cm = mm 2 369 cm = m

G. Write these heights in metres. Any two. (5)1 7 m 39 cm 2 9 m 45 cm 3 13 m 10 cm

H. Order from least to greatest. Any two. (10)1 1 9 7 1 7

1 50% 5 4 1.75 2 72% 5 4 0.7 3 8.6% 10 4 0.7 I. Work out the answers in your note book. (5)

Mrs Akram baked 250 cookies. She gave away 50 of these cookies to 1 her friends and neighbours. What percent of the cookies was left with

her?



Time Allowed: 2 Hours Marks: 50A. Order the numbers from greatest to least. Any one.(5)1 9.0 6.94 8 2.0 2 666 9.5 8 8 4.010 10 10B. Make a place value chart for the following decimals. Any one.(5)1 409.650 2 5618.05C. Add. Any one. (5)1 Areeba grew 0.96 centimetres last year and 0.8 centimetres this year. How many centimetres did Areeba grow in two years?

2 Mr. Akram raises honeybees for a living. Today he collected 10.28 kilograms of dark honey and 20.65 kilogrms of light honey. How many kilograms of honey did Mr. Akram collect today?

D. Subtract. Any one. (5)1 Aimen had a rope 8.8 m long. She cut off a piece 1.4 m long to make a skipping rope. How much rope does Aimen have left?

2

A turtle can travel 0.17 miles per hour. A snail can travel 0.03 miles per hour. Which animal can move faster? How much faster?

E. Divide. Any one. (5)1 6.25 ÷ 5 2 3.81 ÷ 3F. Change these into metres. Any two. (10)1 88 Dm 2 39 Km 3 37 HmG. Solve the following. Any two. (10)1 689 m 40 cm + 643 m 85 cm 2871 m 72 cm + 745 m 38

cm3 692 m 560 mm - 389 m 500 mm

H. Work out the answers in your note book. (5)1 Ayaan attempted six questions out of 8. What percent of

questions did he attempt?22


Model Paper - 1(Term -IV)

Time Allowed: 2 Hours Marks: 50A. Use words and symbols to name each figure. Any five. (5)

1 2 3

T MR S

L

Y 4 5 6

A MX N

B. Measure each angle with protractor. Then classify the angle

as right, acute, obtuse or straight. Any two. (5)1 2 3

C. Find the area of each figure. Any two. (10)1 2 3

12m

17m30cm 10.6m

8m 70cm

23

Bluebell Step in Maths 4 Model-Papers D. Name the shape of the base and use it to name the prism.

Any two. (5)1 2 3

name name namebase base base

E. Use the above table to make a double bar graph. Then use

the graph to solve the problems.

Usman made a chart to show his sales for the two most popular items at his painting studio. The table at the right shows the sales for each item.

1 What is the title of the graph?

(10)Number of Items SoldItem 2011 2012 2013

Portraits 60 70 70Landscapes 60 65 75

2 In which year were there more landscapes sold than portraits?

3 Which item did Usman sell in the same number in 2012 and 2013?

4 Which item showed a steady increase in sales for each year?

5 In which year did Usman sell fewer than 65 landscapes?

F. Use the data in the table to answer problems. (8)Mrs. Akram’s Class

Name Height (cm)Arif 116Ali 124Atif 121Ainee 128Wajiha 124Maham 119Noor 122

Mrs. Akram asked for 7 volunteers to help teach mean, median, mode and range. The volunteers measured their

heights in centimetres. The above table shows the heights. 24


1 Find mean height of Mrs Akram’s Student?

2 What is the range of the data?

3 Mrs Akram removed her height and Arif’s height from the table. How

many did this change the mean, mode and range?

4 Mrs Akram added her height to the table. She is 170 centimetre tall.

How will this information change the mean and range?

G. Complete the symmetric figures. Any two. (5)1 2

3 4

H. Is the dashed line a line of symmetry? Write yes or no. (2)1 2

25



Time Allowed: 2 Hours Marks: 50A. Draw the following parallel lines. Any two. (5)1 Draw two lines parallel to the line ST.

S T

2 Draw a line parallel to MN through the point S.

3 Draw a pair of parallel lines through the points V and W.

S

W

B. Name each angle in three ways. Then classify the angle as

obtuse, right or straight. Any two.1 2

(5)3

C. Measure each angle with protractor. Then classify the angle

as right, acute, obtuse or straight. Any two. (5)1 2 3

26

Bluebell Step in Maths 4 Model-PapersD. Find the perimeter and the area of each figure. Any two. (10)1 2 3

12 m

10 m 10 m

4 m 4 m3 m 3 m

4 mP P PA A A

E. Name the parts of each circle. Write centre, radius, diameter

or chord. Any five.(5)

1 2 3 4

X = XZ = DF = A =

5 6

MO = GH =

F. Tell how each figure was moved. Write rotation, reflection or

translation. Any five. (5)1 2 3

4 5 6

27

Bluebell Step in Maths 4 Model-Papers G. Use the line graph that shows the growth of Maria’s bean

plant to answer the following questions. Any five.(10)

1 How much did Maria’s bean plant grow between day 2 and day 3?

2 Between what two days did the bean plant grow the most quickly?

3 How much taller was Maria’s bean plant on day 7 than on day 6?

4 By day 5, how tall was Maria’s bean plant?

5 How much did the bean plant grow between day 8 and day 10?

6 How many days did it take for the bean plant to grow from 12cm to 18cm?

H. draw each triangle. Any one. (5)

1 Draw a scalene triangle.

2 Draw an acute triangle.

28



Time Allowed: 2 Hours Marks: 50A. draw each triangle. Any two. (10)

1 Draw an equilateral triangle.

2 Draw a right isosceles triangle.

3 Draw an obtuse triangle.

B. Find the perimeter. Any two. (10)1 2 3

9.2cm 6cm 10.9m9.9cm 7.6cm

7cm 7.7mC. Name each solid figure. Then write the number of faces,

vertices and edges. Any two. (5)1 2

faces facesvertices verticesedges edges

29


3 4

facesverticesedges

D. Use the pie graph to solve:Hulk8%

Spider-Man 16%Favourite Superhero Robin

8%Iron-Man

26%

facesverticesedges

(8)

Superman36%

1 Which hero was the most popular?

2 Which hero was the least popular?

3 What percent of people said Iron Man was their favorite?

4 What percent of people liked Superman and Spider-Man?

E. Use the data in the table to answer problems. (12)Mrs. Akram’s Class

Name Height (cm)Arif 116Ali 124Atif 121Ainee 128Wajiha 124Maham 119Noor 122

Mrs. Akram asked for 7 volunteers to help teach mean, median, mode and range. The volunteers measured their heights in centimetres. The above table shows the heights.

1 Find mean height of Mrs Akram’s Student?

30

Bluebell Step in Maths 4 Model-Papers2 What is the range of the data?

3 Mrs Akram removed her height and Arif’s height from the table. How

many did this change the mean, mode and range?

4 Mrs Akram added her height to the table. She is 170 centimetre tall.

How will this information change the mean and range?

H. Is the dashed line a line of symmetry? Write yes or no. (5)

Any five. 1 2 3

4 5 6

31

(Num

ber o

f Stu

dnts)


Model Paper - 4 (Term -IV)

Time Allowed: 2 Hours Marks: 50A. Use this bar graph to answer the questions below. Any one.(5)

Maths Test Score 7 6 5 4 3 2 1 0

30 40 50 60 70 80 90(marks obtained)

1 What is the title of this graph?

2 How many students scored a 90 on this test?

3 How many students got a 30?

4 Why is there no bar above the 40 on this graph?

5 How many students scored a 70 and 80 altogether?

6 If 60 is the passing grade, how many students failed this test?

7 How many students took this test?

32

Bluebell Step in Maths 4 Model-PapersB. The graph below shows the number of fish caught in a day.

Use the graph to answer the questions. (12)Fishing Trip Results

8 7 6 5 4 3 2 1 0

7 A.M 8 A.M 9 A.M 10 A.M 11 A.M 12 P.M

1

2

3

4

5

6

What is the title of this graph?

What time were the most fish caught?

What time were the fewest fish caught?

How many fish caught at 9 A.M.?

From 11 A.M. to 12 P.M. did the number of fish caught increase or decrease?

What is the difference in the number of fish caught at 9 A.M. and the number caught at 12P.M?

C. Name the shape of the base and use it to name the prism.

Any four. (8)1 2 3


33

Bluebell Step in Maths 4 Model-Papers4 5 6


D. Find the perimeter and the area of each figure. Any two. (10)1 2 3

10 m

4 m3 m

12 m

10 m

4 m3 m

4 m

P P P

A A AE. Now draw each triangle. Any one. (5)

1 Draw a obtuse triangle.

2 Draw an scalene triangle.

F. Use a protractor to draw an angle having each measure. Any

two.

1 180° 2

(5)

45° 3 90°34

Bluebell Step in Maths 4 Model-PapersG. Draw the following perpendicular lines. (5)1 Draw two lines perpendicular to the line MN.

M N

2 Draw a line perpendicular to the line AB through the point Z.

35

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