Download Maths - Pon Vidyashram

PONVIDYASHRAM SCHOOL –VALASARAVAKKAM
SA-2 MATHS WORKSHEET[2016-2017] STD : VII
I
MCQ:
1. A rational number between -3 and -2 is _________
a) 5/2
b) -5/2
c) 7/2
d) -7/2
2. 4/5 lies to the _______ on a number line.
a) left of 1
b) left of 0
c) right of 1
d) right of 2
3. The next two rational numbers in the pattern -1/3, -2/6, -3/9 are ______ respectively
a) -3/9 and -4/12
b) -4/12 and -5/15
c) -5/15 and -6/18
d) -6/18 and -7/21
4. If a line segments AB and CD are congruent , then ______Type equation here.
a) AB = CD
b) AB > CD
c) AB < CD
d) AB ≠ CD
5. Equation for the statement “ 3 times a is 39” is _______
a) 3a = 3
b) 3a – 3 = 0
c) 3a = 39
d) a = 3
6. The solution of the equation 5(n-2) = -4 is _______
a) n=6/5
b) n=5/6
c) n=4/5
d) n=-4/5
2
7. 1𝑚 is equal to _______
a) 100 𝑐𝑚2
b) 1000 𝑐𝑚2
c) 10000𝑐𝑚2 d) 100000𝑐𝑚2
8. The sum of any two sides of a triangle is always _______
a) Equal to the third side
b) less than the third side
c) greater than or equal to 3rd side
d) greater than the 3rd side
9. An angle is 32 less than its supplement. The measure of the angle is _____
a) 37
b) 74
c) 148
d) none of these
10. Which of the following numbers is in standard form ?
a) 21.56 x 105
b) 215.6 x 104
c) 2.156 x 106
d) none of these
11.
II
36 𝑥 62 𝑥𝑡 7
123 𝑥 𝑡 4
is equal to ________
a) 𝑡 3 /4
b) 3𝑡 3 /4
c) 5𝑡 3 /4
d) 7𝑡 3 /4
12. In the expression 8 - 𝑦 2 x , the coefficient of x is _______
a) 8
b) -1
c) 𝑦 2
d) -𝑦 2
2
13. The value of m, if the value of 2𝑥 + x – m is equal to 5 , when x = 0 , is ______
a) -5
b) 8
c) -7
d) 12
14. A symbol having a fixed numerical value is called a ______
a) Variable
b) constant
c) terms
d) expressions
Fill in the blanks:
1. If x/6 = 7/-3 then the value of x is ________
2. A triangle in which all sides are unequal in length is called a ______
3. Thrice a number when increased by 6 gives 24. The number is _____
4. The radius of a circular pipe is 7cm. The length of a wire to wrap once around the pipe would be
______
5. Number of medians in a triangle are _____
6. Sum of the angles of a triangle are ______
7. Area of a squared sheet of side 2.1cm is _______
8. The area and breadth of a rectangle are 28𝑐𝑚2 and 4cm respectively . Its length is equal to _______
9. The sum of all angles of a quadrilateral is ________
10. Product of the prime factors of 3600 is ________
Answer The Following: (2 mark)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Find the sum of -3/8 + 18/20
5cm
Subtract -2/8 from 5/16
3cm
Find the missing side in the following right triangle
Find the angles of a triangle which are in the ratio 3:4:5
x
In a right angled triangle , one acute angle is 30 , find the other acute angle.
Solve for x :
a) 8x/9 = 32
b) 6x/5 = 30
Thrice a number subtracted from 40 gives 50. Find the number?
The circumference of a circle is 88cm. Find the radius of the circle ?
Calculate the side of a square whose area is 49𝑐𝑚2
3cm
Find the perimeter of the following figures
2.5cm
4cm
Add : i) 2𝑥 2 - 3𝑦 2 , 5𝑥 2 + 6𝑦 2 , −3𝑥 2 −4𝑦 2.
Subtract : i) 63pq - 30𝑞 2 − 15𝑝2 from 30𝑝2 +40𝑞 2 -12pq
Simplify : p-(p-q) – p – (q – p) + q – (p – 2q)
Express in standard form
a) Population of a village is 6,40,800
b) The literate population of India is 3,70,00,000
15. Simplify :
11.
12.
13.
14.
a)
𝑥6
𝑥3
x 𝑥5
1cm
7cm
b) (20 + 30 ) x 40
16. Convert in to power notation
a)
121
169
b)
Answer the following:
−1
36
(3 mark)
1. Arrange in descending order
12
13
and 7 by
5
−3
−1
1
+ ( 28 ) + 14
14
2. Divide the sum of
1
3. Simplify : 27 +
−1 −1 2 −5
, , ,
2
4 3 8
the product of
−4
7
and
−1
2
4. Find x , if the angles of a traingle having measures (x+40) , (2x+20) , and 3x also state the type of
triangle .
5. In the figure given along side , find the values of x and y
6. Find the exterior angle PRS and state the property
6.
7.
7. In the given figure , AB = CD and AD = BC .Prove that triangle ADC ≅ triangle CBA
8. In a triangle ABC,AD is perpendicular to BC , BD=DC=3cm, prove that triangle ABD =triangle ACD
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
1.
2.
3.
4.
The sum of two consecutive number is 13. Find the number
The circumference of a circle is 132cm .Find its area
What is the height of the parallelogram with corresponding side 12.5cm and area 500𝑐𝑚2 ?
A wire is in the form of a circle of radius 42cm. It is bent in to a square . Find the side of the square?
Draw a line l and draw another line m parallel to l at a distance of 4.3cm from it
Find the perimeter of a triangle with sides (m+2n),(3m+3n) and (2m-6n)
The side of a square is (8x + 4y) . What is the perimeter of the square ?
A wire is (7x-3) metres long. A length of (5x – 4) metres is cut for use. How much wire is left ?
Simplify : i) 𝑥 1 x 𝑥 3 x 𝑥 10
ii) (2016 ÷ 2013 ) x 203
Draw a line l and P be a point not on A . Through P draw line m parallel to l. Now join P to any point
on Q . Choose any other point R on m. Through R , draw a line parallel to PQ . Let this meet l at S.
Draw a line A. Draw a perpendicular to A at any point on A. On this perpendicular choose point X,
4cm away from A. Through X , draw a line m parallel to l.
Answer The Following:
(4 mark)
A 15m long ladder is placed against a wall to reach a window 12m high . Find the distance of the
foot of the ladder from the wall.
Two poles 18m and 13m high stand upright in a playground. If their feet are 12m apart , find the
distance between their tops.
A man goes 3km due North and then 4km due east . How far is he away from his initial position.
In the given figure , state the condition you would use to show that
ABC and
CDE are
congruent.
5. In the following triangles, find the missing angles.
(i)
(ii)
6. The length of a rectangle is 12cm more than its breadth. If the perimeter is 48cm. What are its
length and breadth ?
7. Which of the following has large area and by how much ?
a) A rectangle of length 24cm and breadth 14cm .
b) A square of side 22cm.
8. Construct an equilateral triangle each of whose sides measures 6.2cm . Measure each one side of
its angles.
9. Construct a
ABC in which AB=3.8cm , angle A=60 ̊ and AC=5cm
10. Construct a triangle PQR ; PQ=4cm , QR=3.5cm RP=5cm.
11. Construct a right angled triangle ABC , right angled at C in which AB=5.3cm and BC=3.6cm . Also
measure the other two angles.
12. From the sum of 4x-y+12 and –y+12 , subtract 6x-y-20.
13. Find the perimeter of the given figure
4a-3b
5a-4b
5a-4b
4a-3b
14. If A = 4𝑥 2 -6x+3 , B = -4𝑥 2 -7x+5 and c = 3𝑥 2 -8x+6 . Find 2A+2B+2C
15. Simplify:
−1
−1
(i)
( 4 )4 ÷( 4 )2
(ii)
(−2)7
(−2)12
(iii)
(−4)6 ÷ (−4)8