Download Class VIII - Senior Section

Class VIII new Winter assignment
Integers
1. Simplify the following
a) 17 – 8
b)
-7 + 11 c)
e) 100 – ( - 90 )
-25 - 10
d)
-8 - ( -8 )
f) - 20 + ( - 15)
2. Subtract the first from the second
a) 34, 25
b) - 30 , -35
c)
50 , -45
d) -90, -90
3. Subtract -39 from -40
4. Subtract 28 from -28
5. Find the product
a) -2 x (- 5)
b) -3 x -7
c) 30 x ( -5)
d) -8 x 10
e) -2 x 7 x -4
f) -3 (- 7)
g) -9 x ( -3) (-2)
6. Evaluate
a) -20 ÷ ( - 5)
b)
30 ÷ 6
c) -45 ÷ 9
d) -100 ÷ ( -25)
e) 81 ÷ ( -3)
10. Insert <,> or = sign
a) -10 ____ -11
e)
- 7 - (-7)
b) 0 _____ (-2)
_____ -7 + 7
g) -20 + ( - 30) ___
f)
7 ( -2)
c)
-90 ______ -89
d) -40 ____ 40
10 – ( - 10) _____ 2 x 10
h) -100 ÷ 5 ___ -6 (-5)
i) -70 ÷ ( - 10) ____ -10 + 25
j) 3 ( -12) ____ 2 ( -20 + 2)
11. Which of the statements are not true.
a) 0 ÷ 2 = 0 x 2
b) -25 ÷ 5 = 50 ÷ ( -10)
d) 2 ( 3 -1) = 2 + 3 – 2 ÷1
e)
c) 0
6=6÷0
-6 – ( -9) = 3 ( - 3 + 4)
12. Which of the following does not represent pair of integer ( a, b) such that a ÷ b = 2
a) ( - 6, -3 )
b) ( -2, 1 )
c) ( -10, -5)
d) ( 8 , 4)
e) ( 12, -6 )
13. Fill in the blanks.
a) - 3 + ____ = -10
b)
7 - _____ = 10
c) 12 + _____ = 10
d)
e)
-3 x ____ = - 18
f) -3 (__) = 27
-18 - ______ = 10
g) 45
___ = - 5
h)
- 45
____ = - 9
1
i) -45
___ = 15
Fractions and Decimal
1.What is half of
a) Rs 50
2. What is
of
3. What is
a)
a) Rs 400
b) 200m
c) 1km
d) 1m
b) 100l
c) 800 km
d) 2m
b)
c)
4. Arrange in the ascending order
85. 06 850.6
.8506
8. 506
8506
11. Arrange in the descending order
166.5
16.65
1.665
1665
.1665
12. Find the value
a) 5.30 + 5. 03
b)
e) 12 – 9.66
f) 0.576 – 0.009
c) 6.3 – 5.8
9.5 + 0.89
d) 6.7 – 5.08
13. Find the product
a) 6.2 x 10
b) 6.2 x 100
c) 1000 x 0.2345
d) 12.26 x 10
a) 25.3 by 10
b) 12.34 by 100
c) 0.235 by 100
d) 1.003 by 1000
e) 2.25 by 5
f) 0.729 by 9
g) 1.331 by 11
14. Divide
15. Express in Rs
a) 20p
b) 5p
c) 7Rs 7p
d) 3025 p
17. Change into fraction
a) 1.5
b) 3.23
c) 33.3
d) 0.25
18. Write in decimal form
a)
b)
c)
d)
2
Rational numbers
1. Which of the following are positive rational number.
a)
2.
b)
c)
d)
e)
f)
Represent the following rational numbers on the number line.
a)
b)
c)
d) 1
e)
f)
g)
3. Find three equivalent to each of the given rational numbers.
a)
b)
c)
d)
e)
4. Fill in the blanks
a)
b)
c)
d)
e)
5. Reduce the following to standard form
a)
b)
c)
d)
e)
f)
g)
6. Which is greater?
a)
b)
e)
f)
c)
d)
g)
7. Arrange in ascending order
7. Arrange in descending order.
a) -1,
8. Find three rational numbers between
9. List four rational numbers between -3 and -4.
10. Find the sum
a)
11. Add
b)
a)
c)
b)
d)
c)
d)
12. Find the value
a)
b)
c)
d)
e) -2
13. Subtract the first from the second:
a)
b)
c)
d)
e)
f)
,
14. Find the product
a)
b)
c)
15. Write the reciprocal of a) -5
16. Find the value of
d)
b)
a)
c)
b)
d)
c)
d)
17. Tenzin and Wangmo went for picnic. Their mother gave them a bottle that contains 7
litres of orange juice. Wangmo consumed
total quantity of juice did left in bottle?
3
of it. Tenzin drank of it. What fraction of
18. Zomkyi got Rs 2000 as a birth day gift from her relatives. She spent of it for birth
day shoping and remaining being deposit in her bank account . How much she saved
in bank?
19. In a class of 40 students
took part in the class presentation. How many students
had not taken part in it ?
EXPONENT
1. Identify the base and exponent in each case.
a) 13
3
2
b)
x
4
c)
d)
2. Express the following into exponential form.
a)
b)
d)
5
(XY)
c)
e)
3. Find the value of the following.
a) 3
2
b)
c)
d)
3. Write the following numbers into exponential form
a) 49
b) 81
c) 256
d) 1000
d) 729
e) 512
f) 343
4. Express each of the following as a product of power of their prime factors.
a) 16
6.
a)
b) 27
c) 100
d) 625
e) 48
f) 900
Simplify
0
0
b) (7 -6 ) + 8
0
0
0
0
0
c) (1 + 2 )) - ( 3 – 4 )
0
0
0
0
d) (5 + 6 ) ( 6 + 7 )
LINES AND ANGLES
Definitions
When the sum of two angles is 900, the angles are called complementary angles.
When the sum of two angles is 1800, the angles are called supplementary angles.
Adjacent angles have a common vertex common arm and the non common arms are on
either side of the common arm.
4
1. Find the supplement of the given angles
0
0
0
a) 40
b) 150
c) 178
2. Find the complementary angle of each of the following angles
0
0
0
70 ,
85
7
3. Find the supplementary angle of each of the following angles
0
0
0
130
45
179
4. Put a tick
in the box for the pairs of adjacent angles.
a)
1 and
3
b)
3
and
5
and
2
c)
1
and
b)
3
2
4
d)
2
e)
3 and
f)
4 and
5
g)
2 and
3
1
4
5
4
0
Linear pairs-- When the sum of the measures of two adjacent angles is equal to 180 . The
two adjacent angles form a linear pair.
1. Which are the linear pairs in the following figures
b
a
c
d
2. Find the measures of unknown angles.
57
135
0
95
y
0
0
0
a
x
Vertically opposite angles—When two lines intersect to form four angles, the pair of angles
that are not adjacent are called vertically opposite angles . The vertically opposite angles
are always equal.
1 and
3
1
2
4
3
2 and
1 =
2
4 are vertically opposite angles
3
=
4
1Which of the following are pairs of vertically opposite angles?
40
05
x
z
0
0
y
0
0
f
e
a
d
b
c
3. Find the value of X , y and z
1
2
Parallel lines
4
Transversals --- A line intersecting two or more lines
3
in a plane at different points is called a transversal
to the given line.
5
Angles made by a transversal with two straight lines.
6
8
Interior angles-- The angles 3,4,5and 6 are interior angles.
7
Exterior angles --- The angles 1,2,7 and 8 are exterior angles.
Corresponding angles- Angles in matching(same ) positions between the transversal
and two lines.
1 and
5 ,
2 and
four pairs of corresponding angles.
6 ,
3
and
7
,
4
and
8
are
Alternate angles -- Angles in the alternate ( opposite) sides of the transversal.
3
and
1 and
5
7
,
,
4
and
2 and
6
8
are pairs of alternate interior angles.
are pairs of alternate exterior angles.
Co – interior angles – Angles within the two lines and are in the same side of the transversal.
These angles also called consecutive interior angles or conjoined angles.
3 and
6 ,
4 and
5
are the pairs of consecutive interior angles.
1. Identify each of the given pair of angles as alternate angles, consecutive interior
angles or corresponding angles.
b
a
i)
ii)
iii)
iv)
v)
vi)
vii)
viii)
ix)
a and
h
a and f
d and e
d and f
c and f
c and h
c and e
d and g
b and e
d
c
e
f
h
g
1
2. Identify the following:
2
i)
Angles alternate to 3
ii)
Angles corresponding to 3
iii)
2 and ___ are pair of consecutive interior angles.
iv)
Angles corresponding to x
4
3
y
z
6
x
w
TRIANGLES
A
0
The sum of the angles of a triangle is 180 .
A + B + C = 180
B
0
650
C
1. Find the measure of unknown angle
700
2. Two angles of a triangle are of measures 450 and 350.
Find the measure of the third angle.
3. One of the angles of a triangle has measure 900 and other two angles are equal. Find
these two angles.
4. Three angles of a triangle are equal to one another, What is the measure of each
angle.
A
Exterior angle.
If the side BC of a triangle ABC is produced to
Exterior angle
form BD, then ACD is called an exterior angle of
ABC at C.
C
D
With respect to exterior angle ACD of ABC
B
At C, ACB is called interior adjacent angle and
The angles BAC or A and ABC or B are called interior opposite angles.
Note—The exterior angle is equal to the sum of the measures of two interior opposite
angles.
In this figure ACD = A + B
1. What are the interior opposite angle of the exterior
angle PQS?
2. Find x0
Q
S
700
0
P
R
35
0
135
x
0
0
120
0
X
3. An exterior angle of a triangle is 1100 and one of the interior opposite angles is
330. Find the other two angles.
0
40
4. Find x and y.
0
y
72
7
x
SIMPLE EQUATION
1. Write the following statement in the form of equations.
i)
Sum of a number y and 7 is 11.
ii)
One fourth of a number subtracted from 8 is 10.
2. Solve the following equations:
i)
M -4 = 6
ii) 3x + 5 = -3
v)
iii)
vi) 2
=2
iv)
vii)
ix ) 10 – 3( 2x + 3) = 2( x -2) – 7
viii)
3. What number is it when multiplied by 8 gives 72?
4. By subtracting 20 from a number we get -17. Find the number.
Congruent triangles
1. Spot the congruent figures
a
b
c
d
e
f
2. What are the criteria for the triangles to be congruent.
3. If CAT is congruent to HEN, write its corresponding sides.
4. Is RHS congruence rule stands for Right Hand rule? If not . What is it stands for?
5. In a triangle ABC and DEF, AB = DE , BC = EF and AC=DF .Are the two triangle
congruent ? Write its criteria.
6. If two angles of a triangle and its included side are same as another
triangle, then are the two triangle congruent and by what condition?
7. In PQR and STU , Q = T = 90 PR = ST = 6cm and QR= TU =2cm. write the
congruence condition.
Algebraic Expressions
1. Identify the term containing x and write the coefficient of x.
i)
3x – 100y
12xy – 3x + 7
ii) 5 + xz
2 Identify the pairs of like terms or unlike terms
8
i)
3.
7x , 3x2
ii) -11a, -11b
iii) 2xy, 3yx
iv) 10 x3, 3x3
equals
b.
c.
d.
4. Simplify i) 17y + 2y – 20y
ii) 3x2 – 10x2 –5y2
iii) 12abc + 3bca – 8 acb
5. Classify the following as monomial, binomial and trinomial.
1) 23xy
ii) 3 – 4a
iii) 4a -3b + 5c
iv) 2a x 3b + 5
v)
6. Add 3x2 -4x + 5 and 7x2 + 3x – 11
7. What is the coefficient of y in 7x2y.
8. What is the numerical coefficient of –xyz?
9. Subtract 2a-4b from 7a -6b.
10. Find the value of the following expression if x =2 and y =-1
i)
X2 -3y +y2
ii) x + 2xy + y2
11. Simplify ( 2m – 3n ) – (5m + 3n)
COMPARING QUANTITIES
1. Per cent means __________
2. Are the ratio equivalent ?
1) 1 : 2 and 2 : 1
2) 3 : 2 and 1 : 3
3) 11 : 7 and 1 : 7
3 .Convert the fractions in percent.
a ) 2/3
b) 4/5
c) 7/6
d) 5/3
3. Change the following decimals in percent
a) 0.2
b) 0.13
c). 2.11
d) 0.34
4. Convert the following percent into fractions
a) 12%
b) 45%
5. Find the value of
i) 20% of Rs 50
c)
8%
5.24%
ii) 40% of Rs 500
iii) 25% of 1km
6. There are 45 students, out of which 30 were boys .What is the girls percentage?
7. Tashi has Rs 300 with him, he spend 40% of it during break time. How much is left with
him?
9
PERIMETER AND AREA
1. Find the area of the rectangles for the given sides
a). length = 100m breadth = 50m
b). length = 20cm and breadth= 5cm
2. The side of a square is 12cm in length. Find its area .
Find the area of parallelogram.
a). base= 6cm height= 4cm
b). base = 3.5cm height = 4.5cm
3. Find the area of the triangle whose base is 5cm and height is 2.5cm.
4. Find the circumference of circles for the given radii
a) 7cm
b) 5 cm
c)11cm
d) 14cm
5. Find the circumference of circles for the given diameter
a). 10cm
b) 21cm
c) 7cm
6. Find the area of circles for the given radii
a)20cm
b) 10cm
c)14cm
7. Find the area of circles for the given diameters
a) 21cm
b) 10cm c) 14cm
8. The radius of a circle is 7cm ,find its circumference.
9. The circumference of a circle is 88cm. Find its diameter.
10. Find the perimeter of a semi circle with diameter 14cm including.
11. The area of a circle is 154cm2. Find its radius.
DATA HANDLING
1. Find the range of the following data.
42, 43, 36, 37, 45, 44, 46
2. Find the mean of first 5 natural number.
3. Calculate the mean of the following observations.
4, 6, 6, 5, 0, 7, 5
4. Find the mode of given set of numbers: 2, 3, 1 , 4,2 , 5 , 1 , 3, 2, 6 , 2, 1, 8,2
5. Find the median of the following weights
20, 15, 34 , 30, 25, 45 , 17, 40, 35, 18, 29, 33, 42
6. Organise the following marks obtained by 30 students in tabular form.
12, 30, 24, 13, 14, 12, 10, 11, 16, 26, 18, 19, 29, 20, 22, 24, 25, 16, 17, 18, 18,
16, 20, 24, 16, 15, 12, 19, 20, 20
7. Draw the bar graph of the following data
class
VI
VII
VIII
IX
X
No. of prize 3
5
4
2
6
won
10
11