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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.