Class 6 Mathematics Question Paper
Total Marks: 80
Time: 2 Hours
Section A: Objective Questions (15 × 1 = 15 Marks)
Choose the correct answer: (5 × 1 = 5 Marks)
1. The decimal form of 3/5 is:
a) 0.6
b) 0.03
c) 6.0
d) 0.05
2. The sum of −8 and 3 is:
a) −11
b) 5
c) −5
d) 11
3. The ratio of 30 cm to 2 m is:
a) 1:5
b) 2:3
c) 3:20
d) 3:10
4. A perpendicular bisector divides a line segment into:
a) Equal halves at right angles
b) Two unequal parts
c) Three equal parts
d) None of these
5. The perimeter of a square with a side of 7 cm is:
a) 14 cm
b) 28 cm
c) 49 cm
d) 21 cm
True or False: (5 × 1 = 5 Marks)
6. The sum of two negative integers is always negative. ( )
7. The perimeter of a rectangle is given by 2(l + b). ( )
8. The ratio 4:9 is equivalent to 8:18. ( )
9. – 10 is to the right of – 8 on a number line. ( )
10. The decimal 0.756 is greater than 0.8. ( )
Fill in the blanks: (5 × 1 = 5 Marks)
11. The predecessor of the integer -1 is ____.
12. The side of a regular hexagon is s cm. Then its perimeter is ____.
13. The perpendicular bisector of a line segment passes through its ____.
14. The additive inverse of -1 is ____.
15. Convert 3.725 into a fraction is ____.
Section B: Short Answer Questions (10 × 3 = 30 Marks)
16. Find the sum: -15 + 8 + (-7) + 12.
17. For each of the following figures, identify the line(s) of symmetry if it exists
18. Draw a line segment of 8 cm and construct its perpendicular bisector.
19. Here is a pattern of houses with matchsticks:
Write the general rule for this pattern
20. Solve for x: 3x + 5 = 20.
21. Find the missing number in the proportion: 6:9 :: ?:15.
22. Find the perimeter and area of a rectangle with length 12 cm and breadth 8 cm.
23. Write an algebraic expression for the following expressions:
(a) The sum of a number x and 4 is doubled.
(b) One fourth of a number x is added to one third of the same number.
24. Find the value of 6.5 + 4.75 - 2.25.
25. The adjoining pictograph shows the total Strength of the Little Hearts Public School in Different years. Observe the pictograph and Answer the following questions:
A) What was the strength of the school in The year 1998?
B) In which year did the strength of the School become maximum?
C) How many more students were there in The school in 2004 than in 2002?
D) What was the strength of the school in 2004?
Section C: Long Answer Questions (5 × 4 = 20 Marks)
26. A dice is thrown 25 times and the numbers appearing were as given below:
2,4,5,6,6,6,5,2,3,1,6,2,3,3,4,1,6,2,3,2,2,3,6,6,6. Draw a frequency distribution table to Represent the given data. Which number appears the maximum number of times?
27. Construct an angle bisector of 45°.
28. A wire of length 84m is converted into a square then broken to form a rectangle of length 30m. Find the breadth of rectangle.
29. The ratio of boys to girls in a class is 3:2. If there are 30 boys, find the number of girls.
30. A Fruit-seller had a profit of $178 on Saturday, a loss of $70 on Sunday and a loss of $89 on Monday. Find his net profit or loss In these three days.
Section D: Very Long Answer Questions (3 × 5 = 15 Marks)
31. The following table shows the monthly expenditure of a family on various items:
Item Expenditure
Food 490
Education 760
House 440
Rent 550
Entertainment 220
Miscellaneous 330
Draw a bar graph to represent the data.
32. An artist is designing a symmetrical pattern using squares and rectangles. If the area of each square is 16 cm² and each rectangle has a breadth of 4 cm and length of 6 cm, find the total area if the pattern has 5 squares and 10 rectangles.
33. A nursery school playground is 160m long 80m wide. In it 80m x 80m is kept For swings and in the remaining portion ,there are 1.5m wide path parallel to its width and parallel to its remaining length shown in the figure .The Remaining area is covered by grass .Find the area covered by grass.
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