Modal Annual question paper (class 6)

 Class 6 Mathematics Question Paper

Maximum Marks: 80

Time: 2 Hours

 

Section A: Objective Type Questions (1 mark each)

       (15 × 1 = 15 marks) 

Choose the Correct Answer:

1.     What is 3.75 + 2.6?

a)  5.85

b)  6.35

c)  6.25

d)  7.25

2.     Find the value of 6 - (-4).

a)  -24

b)  24

c)  -12

d)  10

3.     Identify the ratio of 12 to 36 in its simplest form.

a)  1:2

b)  1:3

c)  2:3

d)  3:4

4.     Convert 0.75 into a fraction.

a)  1/4

b)  1/2

c)  3/4

d)  2/5

5. The age of Avneet is y years. Avishi is four years younger than Avneet. Therefore, the age of Avishi is

a)  y-4

b)  y+4

c)  4y

d)  4-y

Fill in the Blanks:

6.     The perimeter of a square of side 5 cm is ______ cm.

7.     Write the decimal form of 7/10: ______.

8.     A regular hexagon has ______ lines of symmetry.

9.     The Variable from the equation 2n + 1 =11 is _________.

10.  The perimeter of an isosceles triangle with equal side of length 4 cm and third side of length 6 cm will be _________.

True or False:

11.  The sum of all angles in a triangle is 180°. (True/False)

12.  A bar graph represents numerical data. (True/False)

13.  The reciprocal of 5/6 is 6/5. (True/False)

14.  If 2x = 10, then x = 4. (True/False)

15.  The area of a rectangle is given by the formula: 2 x (Length + Breadth). (True/False)

 

 

Section B: Short Answer Questions (2 marks each)

(10 × 2 = 20 marks)

16.  Add: 5.25 + 2.89 + 3.6.

17.  Subtract: (-7) - (-12).

18.  (i) Arrange in ascending and descending  order.

0.0092, 0.092, 0.902, 0.009

(ii) Write as a decimal: 300 + 20 + 3 + 4/10+5/100

19.  Construct a perpendicular bisector of a 6 cm line segment.

20.  Ramesh deposited ₹ 2050 in a bank and withdrew ₹ 410 from his account in January on the last date of the month. Find the ratio of
(a) Money is withdrawn from the total money deposited.
(b) Money is withdrawn to the remaining amount in the bank.

21.  Find the distance traveled by Sangeeta if she takes 5 rounds of a square park of side 10 m.

22.  State whether the figure shows rotational symmetry. If yes, then what is the order of rotational symmetry?

  

23.  Solve: 3x - 4 = 11.

24.  Write 18.5 decimals as fractions. Reduce the fractions to lowest from.

25.  Are 20, 25, 12, 15 in proportion?

 

Section C: Long Answer Questions (4 marks each)

(5 × 4 = 20 marks)

26.  The perimeter of a rectangle is 64 cm. If its length is 20 cm, find its breadth and area.

27.  A survey shows the number of books read by 6 students as follows: 3, 5, 7, 2, 4, 6.

Represent this data in a bar graph.

28.  Construct a 90° angle using a compass and ruler.  

29.  A square and a rectangle have the same perimeter of 48 cm. The length of the rectangle is 14 cm. Compare their areas.

30.  A die was thrown 35 times and the following numbers were obtained:
5, 1, 4, 2, 3, 2, 6, 6, 1, 4, 2, 5, 4, 5, 3, 6, 1, 5
2, 6, 2, 5, 4, 1, 3, 2, 1, 4, 1, 6, 2, 6, 3, 3, 3
Prepare a frequency distribution table for the data.

 

Section D: Higher Order Thinking Questions (5 marks each)

(3 × 5 = 15 marks)

31.  A garden is in the shape of a rectangle of dimensions 50 m × 30 m. A path of width 2 m runs along its boundary inside. Find the area of the path.

32.  A shopkeeper mixes two types of rice in a ratio 3:2. If the total weight of the mixture is 50 kg, find the quantity of each type of rice.

33.  The number of visitors visit the mall during a week is given below. Observe the graph and answer the following

(a) How many visitors visited on Thursday?
(b) On which day, the number of visitors was maximum and minimum?
(c) Which is greater – the total number of visitors on Thursday and Tuesday or the total number of visitors on Saturday and Wednesday?