· Web viewC. Solve these word problems. (Any one)(5) 1. Aslam put 1827 exercise books equally on 43 shelves. How many exercise books were there on each shelf? How many were left

Bluebell Step in Maths 5 Model Paper

Model Paper - 1(Term -I)

Time Allowed: 2 Hours Marks: 50A. Write the number. (5)1. twenty million, two hundred thousand and twenty-two 2. seventy million, sixty thousand and nine 3. eighty-nine million and eighty-nine 4. sixty-six million, three hundred and eighty-one 5. thirty-one million, five hundred and six thousand, two hundred and three B. Fill in the circles with >, < or = . (5)1. 8195342 8915343 2. 25698401 15698401 3. 123786 7861324. 96040 96040 5. 231589 985478C. Solve these word problems. (Any one) (5)1. Aslam put 1827 exercise books equally on 43 shelves. How many

exercise books were there on each shelf? How many were left over?2.

Ali poured 8771 ml of lemon essence equally into 25 bottles. How much essence was there in each bottle? How much was left over?

D. Copy and complete. (Any one) (5)1. 125325 2. 106253× 102 × 986

E. Express the following numbers as the product of primenumbers and write in index form. (Any two) (10)

1. 100 2. 24 3. 72F. Simplify these. (Any one) (10)1. 6 × [20 - {4.6 + (9.2 + 6.1)}] 2. 3.8 + {4.6 - (2.31 - 1.06)}G. Simplify these. (10)

1 1 1 2 11. [ 1 1 × (1 +1 -1 )}]

24÷ { 4 10 5 4

1



Time Allowed: 2 Hours Marks: 50A. Write in the expanded form. (Any five). (5)1. 8100300 2. 7816234 3. 834759 4. 60090075. 3810098B. Write the predecessor. (5)1. 98653420 2. 16090600 3. 10000000 4. 990090095. 19098670C. Solve the following sums and roundoff to the nearest 1000000.

(5)1. 65018697 + 19538107 D. Write the number name. (10)1. 178,625,220 2. 273,750,938 3. 235,185,0074. 190,200,999 5. 100,000,200E. Write vertically and complete. (5)1. 10391 × 258F. Solve the word problem. (5)1. Ali poured 8771 ml of lemon essence equally into 25 bottles. How much

essence was there in each bottle? How much was left over? G. Find the side of each square. (Any one) (5)1. 2.

2 2A = 64cm A = 100cm

H. Simplify these. (Any one)1 5 1 3

(10)1 1 1 1

1. 4 + (2 + )} 2. 7 - ( + )} 4 - { 4 5 4 10+ { 43 5 2

2



Time Allowed: 2 Hours Marks: 50A. Write in words. (10)1. 78,65,001 2. 90,30,139 3. 17,18,3814. 77,77,777 5. 65,39,179B. Write the place value fo the coloured digit. (5)1. 65981779 2. 169876543. 10090345 4. 759561245. 92434824C. Place the commas, First in Pakistani way and then in the

international way. (10)1. 786381786 2. 756253589 3. 1012035684. 256796381 5. 304050601D. Find the missing digits. (Any one) (5)

1. 788 2. 55723+5 95 - 36 072976 1 316

E. Solve these word problems. (Any one) (5)1. During a flood, the government sent Rs. 25079835 to 15 villages

damaged by the disaster. How much did each village receive? 2. One truck can carry 475 bags of sand. How many trucks will be needed

to carry 86,450 bags of sand? F. Solve these word problems. (Any one) (5)1. If a company earns a profit of Rs. 7653895 each year. What will its total

profit be in 5 years?2. The cost of 7 footballs is Rs. 6300. What will the cost of 120 balls be?G. Simplify these. (10)1. 14 × [ 5 + { 16 ÷ ( 12 - 8 )}]

3



Time Allowed: 2 Hours Marks: 50A. Write the number name. (10)1. 58,900,110 2. 73,650,998 3. 64,185,0094. 90,186,999 5. 20,000,100B. Fill in the circle with >, < or =. (Any five) (5)1. 321123654 123321456 2. 186564321 789235423. 16203824 162303 4. 3999881 60237105. 3295608 3295608 6. 1082345 1023845C. Solve these word problems. (Any one) (5)1. A school uniform at Usman High School costs Rs. 2350. If there are 789

children at the school, what will be the total bill for all the

children’s uniform? 2. If a toy factory produces 6758 toy cars everyday, how many toy cars will

be produced in a year of 278 working days? D. Copy and solve. (Any two) (10)1. 1 9 281425 2. 8 7 293642 3. 4 5 748695E. Solve these word problems. (10)2. Find the dividend, if the quotient = 34, divisor = 112 and remainder =

87. 3. Find the remainder, if the divisor is 5, dividend is 5339.F. Solve these word problems.

2(5)

1. The area of a square is 9 m . Find the length of each side.22

. The area of a square is 144 cm . Find the length of each side.

G. Using the DMAS rule, simplify these. (5)1. 16 ÷ 2 + 6 × 5 + 2 - 40

4


Model Paper - 1 (Term -II)

Time Allowed: 2 Hours Marks: 50A. Find the GCF of each pair of numbers. Use prime factorization.

(Any one) (5)1. 40,75 2. 64,80B. Solve. (5)1. 294 blue balls, 252 pink balls and 210 yellow balls are distributed

equally among some students with none left over. What is the biggest possible number of students?

C. Find the LCM by using prime factorization method. (5)1. 20, 40,60D. Compare these fractions and then write in ascending order.

(Any one) (5)1. 2 , 3 2. 6 , 2

7 4 8 6E. Subtract. Write your answers in the simplest form. (5)

4 31. 15 3 -5 8 F. Solve these. Write them in the simplest form. (Any one)

(5)5 1 1

1. 6 of 1 2.2 2 3 of 5 G. Solve these. Write them in the simplest form. (5)

1 1 11. 3 ×

2 12 ÷ 1 14

H. Subtract the following. (5)1. 2.876-1.399

I. Solve these word problems. (Any one) (5)1. A test has 50 questions. Ali gets 90% correct. How many questions does he get correct? 2. There are 45 students in a class. 60% are girls. How many are girls? How many are boys? H. Find the % of profit or loss. (5)1. C.P = Rs. 220 and S.P = Rs. 150 2. C.P = Rs. 760 and S.P = Rs.

7905


Model Paper - 2(Term -II)

Time Allowed: 2 Hours Marks: 50A. Find the GCF by division method. (5)1. 175, 300, 425B. Find the LCM using the division method. (5)1. 180, 200, 240C. Express these fractions in higher terms. (5)

10 21 1. , 2. ,16 48 35D. Divide these fractions.

2 3

70(5)

1. 2 9 ÷ 2 5 E. Solve the answers. (5)

3 51. Areeba works 8 5 hours in day 1

and7 6 hours in day 2. How many hours does she work in both days?

F. Multiply to find the product. (5)1. 341

× 7.1

G. Solve the word problems. (Any one) (5)1. How many 3.45-litre cups can be filled from a 5.5-litre jug of water? 2. A boat floated a distance of 14.875 km in 3.5 hours. What distance did it

float in 1 hour? H. Which is greater? (5)1. 0.7 or 7% 2. 0.9 or 9%I. Solve the word problems. (5)1. 1400 sandwiches are made for the picnic. 1210 sandwiches are

eaten. What percent are eaten? J. Solve these word problems. (Any one) (5)1. A car was sold for Rs.1100,000 at a loss Rs.200,000. Find the percentage of loss.

2. Amir purchased a TV for Rs.15000. After using it for 6 months, he sold it for Rs.12150. What is the percentage of loss or gain?

6


Model Paper - 3 (Term -II)

Time Allowed: 2 Hours Marks: 50A. Find the GCF, Use either a list of factors or prime factorization.

(Any one) (5)1. 54, 72 2. 18, 81B. Find the LCM. (Any one)

3 3(5)

1. 2 × 3× 5; 2. 2 × 2 × 2 × 3; 3 × 5C. Subtract. Write you answers in the simplest form. (5)

4 31. 15 3 -5 8 D. Multiply the following mixed fractions. (Any one) (5)

1 1 4 31. 5 5 × 3 2.8 5 5 × 6 5E. Solve these word problems.1. Arooj has 48 chocolates. She gives

(5)34 of them to her friend. Then

she shares the rest between herself and 3 other friends. How many

chocolates does Arooj get?F. Divide the following. (5)1. 9 29.34G. Solve these word problems. (5)1. A woman bought 2 dozen eggs from a shopkeeper for Rs 96. How

much did each egg cost? H. Change the following fractions to percentages. (5)

3 1. 40 I. Solve these word problems. (5)1. The total distance is 62 miles. Sadiq drives 13 miles. What percent of the distance does he drive? J. Solve these word problems. (5)1. A diamond ring was bought for Rs. 250000 and sold for Rs.280000. Find the percentage of gain or loss.

7


Model Paper - 4(Term -II)

Time Allowed: 2 Hours Marks: 50A. Which is more? (5)1. 50% of Rs. 14 or 75% of Rs.8B. Multiply to find the product. (Any one) (5)1. 3.01 2. 2.01

× 1.05 × 9.9

C. Find the quotients. (5)1

1. 8 8 D. Now solve these. (5)

1 11. 2 ÷ 3 E. Compare these fractions and then write in ascending order.(5)1. 12

173

, 221

, 34 F. Solve. (5)1. Hijab notices an identical number of two types of insects in her

neighbourhood butterflies and fireflies. She always seems to observe butterflies in groups

G. Find the LCM by listing the multiples of given numbers. (Any

one) (5)1. 3 , 8, 12 2. 4 , 10, 5H. Solve. (5)2. A group of girls bought 72 rainbow hair bands, 144 brown and black hair bands and 216 bright coloured hair bands equally. What is the largest

possible number of girls in the group? I. Find the GCF. Use either a list of factors or prime factorization.

(5) 1. 16, 28, 36J. Solve these word problems. (5)1. Ali had Rs 200. He purchased a book for Rs 175.5. How much money

had he left with?

8


Model Paper - 1(Term -III)

Time Allowed: 2 Hours Marks: 50A. Write each ratio in the simplest form. (5)1. 20 : 14 2. 50 : 75B .Solve these problems. (Any one) (5)1. Mr. Usman cut a wire into two pieces in the ratio 3 : 4. If the total length

of the wire was 63 cm, what was the length of longer piece of wire he

had cut? 2. The number of hours Umair and Usman work in a week is in the ratio 4 :

9. If umair works 48 hour, how many hours does Usman work? C .Solve. (Any one) (5)1. In how many days would 35 horses eat a supply of corn which lasts 30

horses for 14 days? 2. 25 men can dig a canal in 21 days. In how many days can 5 men dig it? D .Solve these word problems. (5)1. Mr. Kashif works from 9:00 a.m to 5:00 p.m daily. He is paid Rs. 700 per

hour. He works from Monday to Friday, what are his daily wages? How

much does he earn each week? E . Solve the word problem. (5)1. Fajr cycled 3.5 km around a running track. How many metres did she cycle

around the running track? F . Add or Subtract. (Any one) (5)1. 3 h r 4 5 m i n 2. 5 h r 3 7 m i n

+ 4 h r 3 0 m i n +16 hr 23 min

G .Solve these problems. (5)1. An alien spaceship travelled 45000 km in 3 hr. What is

its speed? H .Find the unknown elements in the following quadrilaterals. (10) 1. 110° 70° 2.z°

60°

120°

y° 71° 95° I . Find the missing angle’s measure then classify the triangle by

its angle. (5)1.

x°

68° 55°9



Time Allowed: 2 Hours Marks: 50A. Solve. (10)1. On a rainy day, Mr Saif sold 56 umbrellas and raincoats altogether.

On that day, he sold 24 raincoats. i. Find the ratio of the number of umbrellas and raincoats sold to the number of raincoats sold. ii. Find the ratio of the number of umbrellas sold to the number of raincoats sold.

B. Solve these problems. (5)1. A horse eats 18 kg of corn in 15 days. How much corn does the horse

eat in 24 days at the same rate? C. Solve these word problems. (Any one) (5)1. If 6 men dig a trench in 12 days, in how many days would one man dig it? 2. If 9 men do a piece of work in 3 days, how many men will do it in one

day? D. Solve these word problems. (5)1. Saif took a loan of Rs. 400000 from a bank for a period of 5 years at 9%

per annum. How much interest would he have paid to the bank at the

end of the loan term. Also find the total amount he paid? E. Convert these into °C. (Any one) (5)1. 122°F 2. 150°FF. How many hours and minutes are there in between. (Any one)(5)1. 6:30 a.m. and 8:00 a.m. 2. 9:20 a.m. and 1:30 p.m. G. Solve these problems. (5)1. A train travelled 900000 m in 43200 sec. Find its speed in km/hr.

H. Solve the word problem. (5)1. On a certain Monday, the maximum temperature at Lahore was 34.6°

C. On Tuesday, the maximum dropped by 1.6° C. On Wednesday, the maximum rose by 2.4° C. Find the maximum temperature on

Wednesday. I . Find the missing angle’s measure then classify the triangle by

its angle. (5)1. 16 cm10.9 cm

5.8 cm 10



Time Allowed: 2 Hours Marks: 50A. Solve. (5)1. A bottle contains 25 candy canes and 40 lollipops. Areeba eats 5

lollipops. What is the ratio of the number of candy canes to the number

of lollipops in the bottle now? B. Solve these problems. (5)1. Ayaan spent Rs. 24 and had Rs. 11 left. Find the ratio of the amount of

money he spent to the total amount of money hehad in the beginning. C. Solve these problems. (5)7. If 7 men do a piece of work in 4 days, how many men will do it in 2

days? D. Solve these problems. (10)1. An apprentice is paid Rs. 900 an hour for working a 42-hour week. when he works overtime, he is paid a rate of one and a half times the

normal rate. i. What are his basic weekly wages? ii. How much is he paid for 1 hour of overtime? iii. What will his pay be if he works 48-hours in a certain week?

E. Copy and complete these conversions. (Any five) (5)1. 8.96 m = _____ cm 2. 279 m = _____ cm 3. 43 mm = _____ cm4. 1870 mm = _____ m5. 4.8 cm = _____ mm 6. 16.5 km = _____ m

F. Solve the problem. (5)1. How many cups with a capacity of 250 mL can be filled from a 1 L bottle of milk? G. Convert these into °F. (Any one) (5)1. 35°C 2. 45°C

H. Find the Speed (S), Distance (D) or Time (T). (Any one)(5)

1. S = 70 km/hr, T = 5 hrs 2. D = 320 m, T = 40 secI . Find the unknown elements in the following quadrilaterals. (5)1. 2. 3.

8 cmz°

95°

60°

120°140°

x° 75°

80°

11

4 cm Y

X



Time Allowed: 2 Hours Marks: 50A. Solve these problems. (5)1. Amir’s heart beats 145 time in 2 minutes. About how many times does

it beat in 15 minutes? B. Solve. (5)1. A bottle contains 25 candy canes and 40 lollipops. Areeba eats 5

lollipops. What is the ratio of the number of candy canes to the number

of lollipops in the bottle now? C. Solve the problems. (5)1. A machine takes 4 min to seal 24 biscuit tins. How many biscuit

tins can it seal in 10 min? (5)

2. Find the amount of simple interest on Rs. 25000 for 3 years at 10%. D. Find the distance around the sides of these polygons in

centimetres. (Any two)1. 27 mm 2. 17 mm 3.

14 mm

3.4 cm 54 mm

3 cm 18 mm 23 mm

23 mm 4.6 cmE. Solve these word problems.

(10)1.3 cm

39 mm

1.3 cm

(5) 1. A fisherman went out to fish at 11:40 p.m. He fished for 5 hrs. At what

time did he return? F. Solve these word problems. (5)1. A group of children left for an excursion at 8:30 . They returned 4 hr 10

min later. At what time did they return? 2. A road was 2 km 400 m long. Its length was increased by 800 m. What will be the length of the road in metres? G .Find the missing angle’s measure then classify the triangle by

its angle. (Any one)x = 57

1.55°

45°

x°

(10)x = 12

2.27°

x° 36°

12


Model Paper - 1(Term -IV)

Time Allowed: 2 Hours Marks: 50A. An equilateral triangle measures 6 cm. Find its perimetre. (5)B. Find the area of the following circles. (5)1.

C. Fill in the blanks with a ray, a line or a line segment in the

appropriate places.1. OA is a2. ED is a A3. JH is a4. IB is a E5. CF is a6. OJ is a7. JG is a

G8. OI is a9. OE is a

10. JI is a

BC

OF

J

I

(10)

D

H

D. Consider a linear pair of angles. Find the unknown angle. (Any

one)1.

z

A

C120°

B

2.

L

N

b38°

S

(5)P

45°M

E. Construct the following triangles. (5)1. D DEF when, DE = 6.8 cm, EF = 6 cm, and Ð E = 40° F. Solve these word problems. (Any one) (5)1. What is the volume of a block of wood measuring 9 cm by 8 cm by 6 cm? 2. A block of plasticine measures 20 cm by 6 cm by 4 cm. Rida uses all of it

to make an elephant. What is the volume of the elephant? G. The table below shows Asad’s maths test marks. Show the

following information on the given line graph. Then answer the questions below. (10)

13

Mar

ks O

btai

ned


Asad’s Maths Test MarksTest Marks

1 752 803 1004 955 906 95

1. What is the title of the graph?

10090

8070605040302010

0

Asad’s Maths Test Marks

1 2 3 4 5 6Tests

2. From the line graph which two tests show the same marks? 3. In which test did he obtain the maximum marks? 4. In which test did he obtain the least marks? 5. Find the average marks obtained.6. What is the mode of the given data?H. Arrange the numbers in order then find the median and the mode

or modes. (Any one) (5)1. 46, 50, 29, 74, 46, 68, 50, 14 2. 58, 58, 70, 56, 54, 56, 59, 23

14



Time Allowed: 2 Hours Marks: 50A. Find the perimetre (P) of the following irregular polygons. (5)1.

4 ft 5 ft

5 ft

9 ft 5 ft8 ft

B. Fill in the blanks with parallel, non parallel, perpendicular line

segments in the appropriate places. (Any five)

1. AB is a to CD2. AC and BD are3. GF and EF are E

4. FG and EH are5. EH and FG are A

6. EH and HG are

(5)C H D

G

F B

C. Construct triangles with the given data. (5)1. D XYZ when, XY = 6 cm, XZ = 5.8 cm, YZ = 5.6 cmD. Find the unknown angle. (Any one) (5)1. P 53° R

2.x 40°

A S D

G70°

S

u F55°

T E. Find the volume of cuboids with these measures. (10)1. length = 6 cm; width = 4 cm; height = 7 cm F. Eshaal made a circle graph to show how she usually spends her

time. She spends about 6 hours in school.1. What is the sum of all the percents?2. How many hours does Eshaal spend eating?3. How many hours does Eshaal spend playing?4. List two activities that could be in the “other” activity.5. Does Eshaal get more or less than 8 hours of sleep?6. What percent of the day does she spend sleeping and

playing?

(5)Eshaal’s Activities for

One Day (24 hr)

School

25%Other20% Sleep

39%Play11%

7. How many hours of each day is Eshaal either in school or playing?

15

Bluebell Step in Maths 5 Model PaperG. Solve these word problems.1. The given table shows the number of books

borrowed from a library in 5 weeks. What was the

average number of books borrowed in 1 week?

(5)1st Week 26582nd Week 37903rd Week 26994th Week 10095th Week 1444

H. For the given angles measure, find the measure of supplementary

angle and the measure of a complementary angle, if possible.

(10) 1. 43°

16



Time Allowed: 2 Hours Marks: 50A. Find the perimetre (P) of the following irregular polygons. (5)1. 4 m

8 m 9 m

4 m 5 m

9 m 10 m

B. Find the area of the following triangles. (Any one) (5)1. 2.

12 cm

8 cm 14 cm

7 cm

C. Whether the given pairs of lines are parallel, perpendicular or

intersecting. (Any two) (5)1. 2. 3.

D. Draw an angle with the given measure. Then classify angles. (5)1. 115° 2. 45°E. Consider a pair of complementary angles. Find the unknown

angles. (Any one) (5)1. 2.

55° 75°

5z 3a

F. Draw line segments of the following lengths and bisect them with

the help of a ruler and a compass. (5)1. 7.5 cmG. Draw circle with the following diametres. (5)1. 4 cmH. Construct triangles with the given data. (5)1. D LMN when, LM = LN = 5.4 cm, MN = 6.5 cm I. Solve these word problems. (Any one) (5)

1. What is the volume of a block of wood measuring 9 cm by 8 cm by 6 cm?

17

Bluebell Step in Maths 5 Model Paper2. A block of plasticine measures 20 cm by 6 cm by 4 cm. Rida uses all of it

to make an elephant. What is the volume of the elephant? I. The maximum and minimum temperature of some cities are given

below. Represent the data by a multiple bar graph. (5)City Min. Temp. Max. Temp.

Islamabad 5 10Washington 10 23New Delhi 10 20Dhaka 8 20Beijing 20 35London 20 32

18



Time Allowed: 2 Hours Marks: 50A. Find the area of the following circles. (5)1.

14 cm

B. Consider a pair of vertical angles. Find the unknown angle. (5) 1. 120°

3a 60°

4z

C. Draw angles with the help of protractor and bisect them using

ruler and compass. (Any one) (5)1. 30° 2. 45°D. Classify each solid figure then write the number of faces,

vertices, and edges. (Any five) (10)1. 2. 3.

faces faces facesvertices vertices verticesedges edges edges

4. 5. 6.

faces faces facesvertices vertices vertices

E. Find the volume of cuboids with these measures. (Any one) (5) 1. length = 7.3 ft; width = 6 ft; height = 9.1 ft 2. length = 2.02 m; width = 6 m; height

= 7.5 m 19

Bluebell Step in Maths 5 Model Paper F. The line graph shows how the population of parrots on an island

declined over the nine years period from 2001 to 2009.(5)

60

50

40

30

20

10 2001 2002 2003 2004 2005 2006 2007 2008 2009

Years

1. Prepare the table showing the population of the parrots in the

years. 2. What was the population of the parrots in 2001? 3. What was the population of the parrots in 2009? 4. What was the total decline in the parrot’s population from 2001

to 2009? 5. Between which two years was the greatest decline? 6. What was the population of the parrots in 2007? G. Use the circle graph about favourite main dishes for answering

the given questions.1. What is the title of the graph?2. Which dish is liked by the most students?3 . How many students like meat?4 . How many students prefer chicken?5 . How many students prefer spaghetti?

(5)Favourite Main Dishes

of 120 students

Meat50%

SpaghettiChicken 15%25%

Others10%

H. The game played by students of a certain school is given below.

Represent the information by (10)i. vertical bar graph ii. horizontal bar graph.

Popu

latio

n in

thou

sand

s

Games Cricket Hockey Football BadmintonNo. of

Students50 40 35 25

20

Documents

· Web viewC. Solve these word problems. (Any one)(5) 1. Aslam put 1827 exercise books equally on 43 shelves. How many exercise books were there on each shelf? How many were left