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ClassVI - Maths
Lesson IV – Negative Numbers and Integers
(1m)
1. The temeprature 15°C below freezing point can be expressed as
__________.
2. The opposite of -104 is ________________.
3. Both positive and negative numbers are called ________ numbers.
4. Write the next two numbers.
-204, -214, -224, ____, _____.
5. Put < or >
(i) -25
-7
(ii) -8
-44
6. Find the value of |-25+3|.
7. The absolute value of an integar is always ________.
8. -3 + (-10) = ________.
9. -10-(-15) = _________.
10. 16+ (-4) = __________.
11. Arrange in ascending order.
(2m)
-94, -75, -42, -75, -10, 12.
12. Write the integer 3 more than 6. Show your answer on number line.
13. Find the value of (i) 20-|-12|+|-10|
(ii) 25+|-10|-|5|
14. Add -5 and 7 on number line.
15. Simplify (i) 95 + (-35) +40+20
(ii) (-7) + (10) +15 + (-14)
Page 1 of 6
16. A diver is 15m below the sea level. His position is given as -15m.
Give his new position as an integer if he
(i) Goes further down by 12m.
(ii) Comes 8m up.
17. The sum of 2 integers is -25. If one of them is -10, find the other.
18. Calculate the sum 5+ (-5) +5+ (-5) +….
(i) if the number of terms is 50.
(ii) if the number of terms is 53.
19. Calculate 1-2+3-4+5-6+…+29-30.
20. Add the following (i) -3+2+ (-4)
(ii) 6+ (-2) +8
21. Subtract the sum of -300and -150 from the sum of 265 and -520.
(3m)
22. Subtract the sum of -25 and 21 from the difference of -24 and -43.
23. Subtract first integer from the second.
(i) -270, 380 (ii) -480, -2825
(4m)
24. In a quiz 2 marks are given for each correct answer and 1 mark is
deducted for each wrong answer. There are 30 questions. if all the
questions are answered correctly a students score is 60. If all questions
are answered incorrectly a student’s score will be -30. Part way through
this quiz Anu has a score of 5. What will be her new score if she
(i) answers the next 6 questions correctly (ii) answers the next 5
questions incorrectly (iii) answers 2 of the next 5 questions correctly
and 3 of them incorrectly (iv) answers 3 of the next 5 questions
incorrectly and 2 of them correctly
Page 2 of 6
Lesson VII Algebra
(1m)
1. x bananas are distributed among 10 children equally. Each child
gets _______ bananas.
2. LHS of the equation 4x+5=9 is __________.
3. Which of the following are algebraic expressions
(i) 4X8-5 (ii) 4x-9 (iii) 6X8-7 (iv) 8/n=2
4. Coefficient of 12xy is ___________.
5. Write the next number in the given pattern
1,4,9,16,25,__________.
6. Rs.y is distributed among m workers. Find share of each.
7. A number p is always 10 less than a number q
(i) Write down the rule which connects p&q
(ii) Find p when q is 25.
(2m)
8. Anupam went to market with Rs.x. He spent Rs.a, Rs.b and Rs.c
for buying certain articles. Find the amount remaining with him.
9. Find the rule which represents the number of squares formed and
the number of match sticks used in the following diagrams
Page 3 of 6
10. Using a variable write the following statements in equation from
(i) A number added to 25 results 50
(ii) 5 less than thrice a number is 45.
11. Sumans present age is p years. His mother’s age is 4 years less
than 3 times his age. Find his mother’s age.
(3m)
12. Write the following algebraically using signs and symbols
(i) y is increased by 9
(ii) one - third of the sum of a and b
(iii) Half of y subtracted from the sum of x and z
13. A car travels at skm/hr. It is going from Agra to Delhi. After it
has travelled 3 hrs Agra is still 15kms away. Find the distance
from Agra to Delhi.
14. Complete the table using the formula.
(i) y=3x+2
(ii) q = p-7
(iii) n = m/3
(iv) b= a+4
x 2 3 4 5
p 9 10 11 12
y
q
m
n
9
12 15 18
a
b
2
3
15. Solve by trail and error method
(i) x+3=7 (ii) n/4=25
(iii) y-6=2
16. Solve (i) 2x-3=15
(iii) b-7=3
4
(4m)
5
(iv) z-4=5
(ii) y+8=16
(iv) 5y = 30
Page 4 of 6
LESSON – IX
1. How many line segments can be drawn through two given points?
2. Name the longest chord in a circle.
3. How many line can be drawn through a given point?
4. All the points on the circle as well as the interior of the circle form
_________.
5. Define (i) Collinear points (ii) Concurrent lines (iii) Ray (1X7)
(iv) Intersecting line (v) Polygons (vi) Secant of a circle
(vii) Concenteric circles
6. Draw a polygon having (i) 5 sides (ii) 6 sides
7. Name all the rays with initial point P&S.
(2m)
8. In the following figure identify the intersecting and concurrent
lines.
9. Write the difference between a line and a line segment
10.
Draw any traingle AOB and show :
(i) 2 points in the interior
(ii) 2 points in the exterior
(iii) 2 points on triangle AOB
(3m)
Page 5 of 6
11. Express the angles in the following in 2 different ways.
12. How many angles are there in the following figure. Name them.
13. Name all the triangles in the following figure.
14. In quadrilateral PQRS name :
(i) A pair of opposite sides
(iii)A pair of adjacent sides
angles
(4m)
(ii) 2 diagonals
(iv)A pair of opposite
15. Draw a circle with diameter 8 cm and show (i) a diameter
(ii) A chord (iii) an arc
(iv) a sector (v) a segment
-----------------------------------Page 6 of 6