Download vii maths assignment

Revision assessment
Maths
Class VI
Instructions: all questions are compulsory
1. Section A contains 4 questions of 1 mark each.
2. Section B contains 6 questions of 2 marks each.
3. Section C contains 8 questions of 3 marks each.
4. Section D contains 10 questions of 4 marks each.
5. Section E OBTA of 10 marks.
M.M=90
Section: A
1. Find supplement of angle 1230.
2. In a ∆𝑿𝒀𝒁 ,if ∠𝑿 = 𝟕𝟐0 ∠𝒁 = 𝟓𝟎0 find∠𝒀.
3. What is the order of rotational symmetry of a square?
4. How many faces and edges are there in a cylinder?
Section: B
5. If AOB is a straight line and the rays OC and OD stand on it. If ∠𝑨𝑶𝑪 = 𝟔𝟓0 ,∠𝑩𝑶𝑫 = 𝟕𝟎0 and
,∠𝑩𝑶𝑫 = 𝒙0 ,find the value of x.
6. Draw a net of cuboid.
7. Find the mean of first 10 even numbers.
8. Find the length of the hypotenuse of a right triangle, the other two sides of which measure 9 cm
and 12 cm.
9.A dice is thrown 200 times and the outcomes are noted as shown below:
Outcome
Frequency
1
21
2
30
3
42
4
38
5
29
6
40
Find the probability of getting a (i) 5 (ii)6
10.Find the diameter of a circle whose circumference is 63.8 cm.
Section: C
11. An exterior angle of a triangle is 1000 and their interiors opposite angles are in the ratio 2:3.find
the angles of a triangle.
12. Find the length of diagonal of the rectangle whose sides are 16 cm and 12 cm.
13. Show that in an isosceles triangle, the angles opposite to the equal sides are equal.
14. Construct a ∆𝑨𝑩𝑪 in which BC=5.3 cm, ∠𝑩 = 𝟔𝟎0 and AB=4.2 cm. Also, draw the perpendicular
bisector of AC.
15.The cost of carpeting a room 15 m long with a carpet of width 75 cm at Rs 80/ m is Rs 19200.Find
the width of the room.
16. A rectangular lawn is 60 m by 40 m and has two roads, each 5 m wide running in the middle of it,
one parallel to its length and the other parallel to the breadth. Find the cost of constructing the roads
at RS 80/m2.
17. Calculate the median for the following data:
Marks
No. of
students
17
5
20
9
22
4
15
3
30
10
25
6
18. A square lawn has 2 m wide path surrounding it. If the area of the path is 136 m2, find the area of
the lawn.
Section: D
19. If AOB is a straight line and the rays OC on it. If ∠𝑨𝑶𝑪 = (𝟐𝒙 − 𝟏𝟎)0 ,∠𝑩𝑶𝑪 = (𝟑𝒙 + 𝟐𝟎)0,find
the value of x. Also, find ∠𝑨𝑶𝑪 and∠𝑩𝑶𝑪.
20. In the given figure, ∠𝑩 = 𝟔𝟓0 and , ∠𝑪 = 𝟒𝟓0 in ∆𝑨𝑩𝑪 and DAE II BC. if ∠𝑫𝑨𝑩 = 𝒙0 and ∠𝑬𝑨𝑪 =
𝒚0,find x and y.
21. Prove that the bisector of the vertical angle of an isosceles triangle bisects the base at right angles.
22. Construct a right angled triangle whose hypotenuse measures 5.6 cm and one of whose acute
angles measures 300. Write steps of constructions.
23. a. using compass draw a line of symmetry of (i) equilateral triangle (ii) semi circle
b. write alphabets whose rotational symmetry of order is 2.
24. The following table shows the weight of 12 players:
Weight (in kg) 48
50
No. of players 4
3
Find mode using Empirical Formula.
52
2
54
2
58
1
25. Gold prices on 4 consecutive Tuesdays were as under, draw a bar graph for this:
Week
First
Rate /10 gm (in rs) 8500
second
8750
third
9050
fourth
9250
26. The area of a square ABCD is 36 cm2. Find the area of the square obtained by joining the midpoints
of the sides of the square ABCD.
27. The area of a square plot is 6084 m2.Find the length of the wire which can go four times along the
boundary of the plot.
28. The table shows the weekly pocket money of students.
Pocket
75
100
125
150
Money (in
rs)
No. of
5
9
15
7
students
Find the probability that the weekly pocket money is a. Rs 125
Rs 120.
175
200
3
1
b. less than Rs 300
c. More than
Section: E
29. OBTA
Congruence of Angles: If two angles have same measure, they are congruent.
Criteria for congruence of triangles (i) SSS: if all sides of a one ∆ are respectively equal to three sides
of the other ∆. (ii) SAS:If the two sides and the included angle of one ∆ are respectively equal to the
two sides and the included angle of the other ∆. (iii) ASA: If the two angles and the included side of
one ∆ are respectively equal to the two angles and the included side of the other ∆. (iv)RHS: If the
hypotenuse and one side of one ∆ are respectively equal to hypotenuse and one side of the other ∆.
a)If ∆𝑨𝑩𝑪 ≅ ∆𝑹𝑷𝑸 under the correspondence ABC↔RPQ, write all the corresponding congruent
parts of the triangles.
b) PQRS is a square whose diagonal PR is joined. Prove that If∆𝑷𝑸𝑹 ≅ ∆𝑷𝑺𝑹.
c) Show that the bisector of vertical angle of an isosceles triangle bisects the base at right angles.
d) Write different criteria for congruence of triangle.