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Mongar Higher Secondary School
Monger Bhutan
Mid – Term Examination – 2010
Class: IX
Subject: Maths.
Time: 3hrs
Marks: 100
Section A
Ten questions [10x2 = 20 marks]
Direction: Choose correct answers.
1. 36 x 38  35 is equal to
a) 36
b)39
c)38
d)35
2. Which one is a polynomial?
a) 4x 1/3 b)
3
x3
c) 6 k–2 - 6k–2
d)3 – 2m3 + p5
3. Calculate 642/3
a)
-2
b) ¼
c) 16
d) 4
4. The scientific notation of 0.25 million is
a) 2.5 x106
b) 2.5 107 c) 25 x10
d) 2.5 x104
5. 3x – 2y + 8x – 2y2 +6y is equal to
a) -11x + 4y – 2y2
b) 11x + 4y – 2y2
c) 11x – 4y + 2y2 d) -11x – 4y +2y2
6. The value of polynomial m3 – 2m when m = 4
a) 175
b) 75
c) 56
d) 60
7. The degree of polynomial ( - 2x – 6x2 -4) is
a) -2
b) -4
c) 2
d) 6
1
1
5 1
8. The value of     is
9 8 2
1
1
a) 9
b) 7
8
9
c) 8
1
9
d) 8
2
9
9. Which one is a rational?
1.35363738…..
b) Л
c) √2 + 8
d)0.135135135…..
15
12
10.Express (64 x 10 ) x (25 x 10 ) in scientific Notation.
a)1.6 1027
b) 1.6 x 1029 c) 1.6 x 1030 d) 1.6 x 1026
Section – B
14 questions [38 marks]
1.
a)
b)
2.
a)
b)
Express 58each way.
as power of 25
as a quotient of other powers of 5
Solve for n.
-415 = -8n
35 (n5) = 305
Maths Cl:IX
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[1x2=2]
[2x2 =4]
Mid Term Exam -2010
3. Which is greater in each pair? Justify your choice.
[2]
2
2
- 6 or (- 6)
4. Explain with suitable example, why a greater value of “n” may not result in a
greater result for ( - 6 )n
5. Assume that a person blinks his or her eyes every 5 seconds. Estimate how many
times you have blinked your eyes in your life. (Assumed your age as 15 years).
Record your answer in scientific Notation.
6. Express each number in scientific Notation.
[2]
a) 45 thousandths
b) 2,000,000
7. Estimate
[1x2 = 2]
7 3
a) (2 )
1
b)  
50
3
8. Calculate
a) 40.5 – 3x (-2)5  [10 +3x (-2.4)]
b) 2.4 x (4.5 + 1.3 x0.18)6
9. How do you know 0.444.... is a rational number?
10.Graph the following sets of numbers:
a) -3 < n ≤ 2 , n is real number.
3
b) Positive integers greater than 2 and less than
11.Expand and simplify xy (2 – 3x +4y)
12.Model (3x +4) (x-1) with tiles to multiply.
13.Calculate the area of shape.
8
[2.5x2 = 5]
[3]
[2x2 =4]
2
[2]
[3]
[3]
4x+1
14.Divided
(3xy +6y2)  3y
[2]
Section – C
7 questions [42 marks]
i. Subtract 3x – 2y) – (5x – 4y) using Zero principle.
ii. List at least two possible ways of writing. 38 as a product of powers of 3.
iii. Order these from least to greatest.
(24)4, 85, (43)3, (27)2, (-2)8, -230
OR
Maths Cl:IX
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Mid Term Exam -2010
[3]
[2]
[1]
Question 1 B
i)
M =a x103 and N = bx104. If both numbers are in scientific Notation, which is
greater, M or N I Explain.
[2]
9
b
b
a
ii)
If 2 = ½ and 5 = 125, what is the value of a + b
[2]
iii) Simplify 3x – 2y +8x -2y2 +6y.
[1]
Question 2A
i)
Describe the height of the given shape as polynomial. The area and base length
are given.
[3]
3x2+2x-1
3x +1
ii)
Create a polynomial, using r (radius) as the variable that describes the
measurement of a circle.
[1]
2
2
iii) Model (2x +2x -3) + (4x – 3x) with tiles and add.
[2]
OR
Question 2B
i)
A binomial multiplication such as (x+9) (x+9) can be expressed as (x +9) 2. How
much greater is (x + a)2 than (x – 9)2?
[2]
ii)
Write an inequality statement for each graph below.
[1]
iii) Multiply each.
a) –x (3x + 2y)
b) 5(3m + m3 – 2r)
c) 2jk (k – 3)
Question 3A
i.Find the value of b. 5b = (53) 53)3
ii.Calculate 3.6 x1011 [1]
iii.Model (- 3y + 2y2 – 6x) – (-2y +y2 – 3x) with tiles by taking away.
OR
Question 3B
i)
What division is being modeled?
Maths Cl:IX
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Mid Term Exam -2010
[1x3 = 3]
[2]
[3]
[1.5x2 = 3]
ii) A square picture is interested into a square frame. Write an expression that can be
used to find the area of the while space around the picture. Show your work.
Question 4A
22 x  14  12 x 2
3x  7
i) Divide
ii) Model (4 xy – 2y2)
iii) Evaluate. (24x54)
[2]
 2y and find the quotient.
[3]
[1]
Question 4B
i)
Each polynomial below is the product of a monomial and a polynomial. For each,
list one possibility for what might have been multiplied.
[1x2 = 2]
2
2
a) 6t –3t +15
b) 8xy–10y + 6y
ii)
Which is greater in each pair? Explain
[2]
6
13
20
( 2x10 ) x (7x10 ) or 10
iii) Explain why a0 = 1 , a ≠ 0
[2]
Question 5A
i)
Simplify each. Express as a power.
4
a) 8 x 87x (89)2
b) (23 x 34) x (32)2
ii)
Show why all these have the same value.
49
iii)
3
2
 12
 49






3
49 
1
3 2
[1x2 =2]
[2]
73
Calculate the area of each shape.
[2]
OR
Maths Cl:IX
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Mid Term Exam -2010
Question 5B
i)
Factorize 1936 to calculate 1936
[2]
2
ii)
Evaluate 4 + (7 – 10 x2) + 30  (5 – 7)
[3]
iii) Give an example of irrational number.
[1]
Question 6A
i)
For each description below, sketch the rectangle and find its area. Show your
work.
[2x2=4]
a) The height is x + 1 and width is 3 units more than the height.
b) The height is x – 1 and width is 4 units more than 3 times the height.
ii)
Evaluate (305  35).
[2]
i)
What number multiplied by itself equals 625? Why are there two possible
answers to this question?
[2]
ii)
6x6x6x6 = 1296
[1x2 = 2]
a) What is 1206 ¼?
b)
What is 12962/4?
iii) Add
2
2
2
i) 4 y 2 y  x  8   3x  2 x  4
ii) 8 y  4x  3  2 y  x  2
Question 7A
i)
Place brackets, as needed, to make each equation correct.
a)
1 1 1 1 1
x    1
4 4 4 4 4
1
2
2 1
b)    1  x
3 
3 2
Solve for n, 7n = 3n
[2]
2 t3
iii)
Find the numerical co–efficient of each term for the polynomial 3t–3t + .
[1]
Question 7B
i)
Evaluate each polynomial.
[1x3=3]
a) 3m3 – 2m when m = 4
b) 4xy – 2x + y2 when x = 1, y = 0
c) 8r – 2rs when r = 3, 5 = 5
ii)
ii)
3x  6x
iii)
Use
2

 8x 3   x  x 2  y 2
68  8.2 to estimate

[1]
6800
“ HAPPY SUMMER VACCATIONS”
Maths Cl:IX
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Mid Term Exam -2010