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Bluebell Step in Maths 7 Model Papers Model Paper - 1 (Term -I) (Chapter 1 - 3) Time Allowed: 2 Hours Marks: 75 1 Write the following sets is tabular form. (any five) (5) i) A = set of multiples of 5 less than 44 ii) B = { even numbers between 8 and 30} iii) C = {x | x N < 7} iv) D = set of the names of provinces of Pakistan v) E = {x | x N< 5} vi)F = set of planets in the solar system vii)G = set of integers between -7 and 7 viii)H = {letters of the word cricket} 2 If U = { 2, 3, 5, 7, 11} V = { 1, 3, 5, 7, 9} W = { 2, 4, 6, 8, 10} (5) i) V - W ii) W - V 3 If U = {0, 1, 2, 3, 10}, A = {2, 3, 5} and B = {4, 5, 6, 7, 8}, then verify the identity property with respect to union and intersection of sets. (10) 4 Simplify. (5) 6 -3 i ) 11 + 2 5 Multiply the given rational number and find the reciprocal of the product outlived. (10) 3 8 3 i ) 4 × 9 × 21 6 Simplify (10) -11 -15 -10 i) 13 ÷ 13 ÷ 39 7 Identify the property used in the following: (any one) (10) 7 2 2 7 3 1 6 3 1 3 6 i) 9 × 5 = 5 × 9 ii ) 2 × 2 9 = 2 × 2 - 2 × 9 8 Express the following as non-terminating, recurring decimals.
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Bluebell Step in Maths 7Model Papers

Model Paper - 1

(Term -I)(Chapter 1 - 3)

Time Allowed: 2 HoursMarks: 75

1Write the following sets is tabular form. (any five)(5)

i)A = set of multiples of 5 less than 44

ii)B = { even numbers between 8 and 30}

iii)C = {x | x N< 7}

iv)D = set of the names of provinces of Pakistan

v) E = {x | x N< 5}

vi)F = set of planets in the solar system

vii)G = set of integers between -7 and 7

viii)H = {letters of the word cricket}

2If U = { 2, 3, 5, 7, 11} V = { 1, 3, 5, 7, 9} W = { 2, 4, 6, 8, 10}(5)

i)V - Wii)W - V

3If U = {0, 1, 2, 3,10}, A = {2, 3, 5} and B = {4, 5, 6, 7, 8}, then

verify the identity property with respect to union and

intersection of sets.(10)

4Simplify.(5)

6-3

i)

11

+

2

5 Multiply the given rational number and find the reciprocal of

the product outlived.(10)

383

i)

4

9

21

6Simplify(10)

-11-15-10

i)

13

13

39

7Identify the property used in the following: (any one)(10)

72273163136

i)

9

5

=

5

9

ii)

2

2

9

=

2 2

-

2 9

8Express the following as non-terminating, recurring decimals.

(any one)

723(10)

i)

11

ii)

54

9

Express the following rational numbers as decimals by division. i) 1(10)

3

122

Bluebell Step in Maths 7Model Papers

Model Paper - 2

(Term -I)(Chapter 1 - 3)

Time Allowed: 2 HoursMarks: 75

1Write the following sets in descriptive form. (any five)(5)

i)A = {0, 2, 4, 6, ...}ii)B = { a, e, i, o, u, }

iii)C = {x | x N x < 5}iv) D = { 2, 3, 5, 7, 11, ...}

v)F = {-10, -11, -12, ...}vi) E = {x | x Z-5 < x < 5}

2If U = { 2, 3, 5, 7, 11} V = { 1, 3, 5, 7, 9} W = { 2, 4, 6, 8, 10}(5)

i)W - Uii)V - W

3If A = {a, e, i, o, u}, B = {a, b, c} and C = {c, e, g}, then verify:(10)

i) A B = B A

4Simplify.(5)

i)-91+65

721

5 Multiply the given rational number and find the reciprocal of the

product outlived.(10)

12113

i)

169

11

6Simplify.(10)

8215

i)

9

3

28

7 Prove that: (Any one)

5735

(10)

73

i)

8 9

-9

+

5

=

8 9

+-5

8 5

ii)

8

-8 = -8 -9

14148

8Which of the following is a terminating decimal? (Any one)(10)

13

i)

20

ii)

22

9Express the following rational numbers as decimals by(10)

division.

22

i)

7

123

Bluebell Step in Maths 7Model Papers

Model Paper - 3

(Term -I)(Chapter 1 - 3)

Time Allowed: 2 HoursMarks: 75

1If U={0, 1, 2, ..., 8, 10}(5)

A={0, 1, 2, 3, 4}B={3, 4, 5, 6, 7}

C={5, 6, 7, 8}D={2, 4, 6, 8, 10}

i) D

2If P = { -3, -2, -1, 0} Q = { -5, -4, -3, -2}R = { -1, 0, 1, 2, 3} then find:

i) P (Q R)(5)

3If L = {-3, -2, -1, 0, 1, 2}, M = {-2, 0, 2} and N = {0, 1, 2, 3}

then verify:(10)

i) L- M M - L

4Illustrate by Venn diagrams. If A = {0, 1, 2, 3}, B = {2, 3, 4, 5}

(any one)(5)

i)A - Bii)B - A

5Multiply the given rational number and find the reciprocal of the

product outlived.(10)

83

i) 7

9

9

16

6Simplify:(10)

-111- 222

i)

100

400

7Prove that:

5735

(10)

73

i)

8 9

-9

+

5

=

8 9

+-5

8 5

ii)

8

-8 = -8 -9

14148

8Which of the following is a terminating decimal?(10)

122

i)

20

ii)

7

9Express the following rational numbers as decimals by(10)

division.

8

i)

13

124

Bluebell Step in Maths 7Model Papers

Model Paper - 4

(Term -I)(Chapter 1 - 3)

Time Allowed: 2 HoursMarks: 75

1If A = {a, c, e, g}, B = {a, b, c, d} and C = {b, d, f, h}, then verify that:

(i) A (B C) = (A B) C(10)

2Find the union of the following sets.(5)

X = set of natural numbers less than 13

Y = set of whole numbers between 0 and 7

3If U = {0, 1, 2, 3,20}, A = {2, 4, 6,18} and B = {1, 3, 5,19},

then verify: (any one)(10)

i) A j = Aii) A A = j

4Find the sum. (any one)

-83

(5)

16-17

i)

17

+

34

ii)

21

+

42

5Simplify:(10)

12

i)

5

5

-32

100

6Identify the property used in the following:(10)

6116

i)

3

+

2 =2 + 3

7Order the numbers from greatest to least. (any one)(10)

3-8

i) 104

16

-10.989, - 10.99,1046 ii)

10

-0.97,-709, 1000 10

8Express the following as non-terminating, recurring decimals.

(any one)(10)

27

i)

3

ii)

11

9Express the following decimals as fractions:(5)

i)786.07

125

Bluebell Step in Maths 7Model Papers

Model Paper - 1

(Term -II)(Chapter 4 - 7)

Time Allowed: 2 HoursMarks: 75

1Simplify. Express using exponents.(5)

359

i)

x .y .z

227

x.y.z

2Write each expression using a positive exponent. (any one)(5)

-51

i)dii)-1-2

hu

3Replace each with the correct answer(10)

i) Given that 8 8 = 64, Find64.

64 =

4A man earns Rs. 26 for 4 hours of work. How much will he be

paid for hour of work? How much will he be paid for 7 hours

of work?(5)

5Ahmad went on a bicycle tour. In the first two hours, he

averaged 12 km/h; but in the next three hours he averaged

8 km/h.(10)

1. Calculate the total distance covered.

2. Calculate his average speed for the whole journey.

6Find the property tax on a property of Rs. 650,000 at the rate of

1.8%.(10)

7Saleem earned Rs.114,700 from a rice crop and paid Ushr at

the rate of 5%. What amount did he pay as Ushr?(10)

8if r:s = 1:6 and s:t = 1:5 then find r:s:t.(10)

9Evaluate the following expressions.(10)

3

i)

2

63

22

126

Bluebell Step in Maths 7Model Papers

Model Paper - 2

(Term -II)(Chapter 4 - 7)

Time Allowed: 2 HoursMarks: 75

1Simplify. Express using exponents.(5)

-6-8989-9

i)(60pqr) (6 pqr)

2Write each fraction as an expression using a negative exponent.

(any one)(5)

11

i)

4

9

ii)

+2

h

3Find the square roots of the following fractions.(10)

324

i)

256

4A pile of 108 identical books weighs 30kg. Find:(5)

i) how many books weigh 20kg and

ii) the weight of 150 books.

5Express the following speeds in m/s.(10)

i)54 km/hii)0.24 km/h

6Property tax Rs. 18,720 was paid when the worth of property is

Rs. 1,560,000. Find the percentage of property tax.(10)

7 Shamas annual saving is Rs. 222,000. What is the amount of Zakat

to be paid by her?(10)

8 A man leaves Rs. 128000 to his three children, A, B and C in the

ratio A : B = 1 : 2 and B : C = 2 : 3. How much each child receive?

(10)

9Evaluate the following expressions.(10)

30/ 3

i)

1 1 1

2 2 2

127

Bluebell Step in Maths 7Model Papers

Model Paper - 3

(Term -II)(Chapter 4 - 7)

Time Allowed: 2 HoursMarks: 75

1Identify base and exponent.(5)

0

i)5

2Simplify each expression. (any one)(5)

5 23 -46

i)(2)ii)(7) 7

3Find the square roots of the following fractions.(10)

169

i)

121

4Thirty-five workers build a house in 16 days. How many days will

28workers working at the same rate take to build the same

house?(5)

5A snail moved a distance of 1 m at an average speed of 1 cm/s.

How long did it take?(10)

6The price of a bicycle is Rs. 6,480 inclusive 8% GST. What is the

original price of the bicycle?(10)

7Nabeel sold apples for Rs .398, 160 and paid 10% us Ushr. Find the

amount of Ushr.(10)

8if l:m = 2:7 and l:n = 8:9 then find l:m:n.(10)

9Evaluate the following expressions.(10)

2

i) *

72

-5) (-5)

128

Bluebell Step in Maths 7Model Papers

Model Paper - 4

(Term -II)(Chapter 4 - 7)

Time Allowed: 2 HoursMarks: 75

1Simplify. Express using exponents.(5)

79

i)

81vu

33

9vu

2 Simplify each expression. (any one)

57 2

(5)

2 -332

i)(3) 3ii)(u) (h) hu

3Find the square roots of the following fractions.(10)

729

i)

289

4Four pipes can fill a tank in 70 minutes. How long will it take to

fill the tank if 7 pipes are used?(5)

5Express the following speeds in m/s.