6th Maths MARKS: TIME: TRP 3
1. The mean height of four boys is 145 cm. If the heights of three of them are 150 cm, 142
cm, and 146 cm, find the height of the fourth boy.
2. A farmer sowed some saplings of plants on his field. The number of saplings sowed during
a week are shown below:
Day Mon Tu Wed Thu Fri Sat Sun
e
No. of sampling 150 100 120 200 180 30 250
sowed 0
(i) Find the mean of saplings sowed by farmers.
(ii) Find the median of the saplings of plants
3. The bar graph given alongside shows the quantity of wheat produced during the years
2009-2013. Observe the bar graph and answer the following questions:
(i) In which year was the wheat production maximum?
(ii) In which year was the wheat production minimum?
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(iii) In which years was the wheat production same?
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(iv) What was the difference between the production of wheat in the years 2011 and 2013?
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4. Find the area of this figure.
5. The floor of a hall is 14 m by 8 m. It has to be covered by square tiles of side 50 cm. Find
the number of tiles required to cover the floor of the hall. If one piece of tile costs Rs. 50, find
the total cost.
6. Draw the line of symmetry, if exists, for the following figures.
7. The word HIDE is a symmetric word. Find its axis of symmetry. Also, write some
symmetric words showing lines of symmetry.
8. Match the two columns.
Column I Column II
(i) Cube (a) 5
(ii) Right Triangular Prism (b) 4
(iii) Triangular Pyramid (c) 6
(iv) Square Pyramid (d) 8
9. Fill in the blanks with reference to the figure of the circle with its centre at O.
(i) The line segment PQ is a/an ___________ of the circle.
(ii) The portion AB of the circle is a/an ___________ of the circle.
(iii) The shaded portion of the circular region bounded by the line segment PQ is a/an
2
___________.
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(iv) The length of the line segment OM is the ___________.
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(v) The shaded portion OLM of the circular region is a ___________.
10. Find the value of x in the following figures.
11. Find the sum of the interior angles (in degrees) of a polygon of 8 sides.
12. Which of the following are true for Rhombus?
(i) All the sides of a rhombus are of the same length.
(ii) The diagonals of a rhombus do not bisect each other.
(iii) The diagonals of a rhombus bisect each other at right angles.
(iv) The diagonals of a rhombus are equal.
13. Find x and y for the following figure.
14. Find the angles of a triangle in which the biggest angle is double the smallest angle, and
the third angle is half of the sum of the other two angles.
15. Construct ∠ AOB = 45° by using a pair of compasses and ruler. Take a point P on OB
such that OP = 5 cm. Draw the perpendicular from P to OA.
16. Find the measure of ∠AOB in each of the following.
(i) (ii) (iii)
3
17. If x = 1 and y = 2 then find the values of the following algebraic expressions.
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(i) 3x + 4y (ii) -2x + 9y (iii) 5x – 3y
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18. Use the horizontal method to subtract.
(i) 9xy + 5 from 11xy – 1 (ii) 10x – 4y from 6x – 4y
19. Simplify.
(i) 5x + {2y – (3x – 7y)}
(ii) 4b – {(3b – 12) – (12b – 17)}
(iii) 23a2 – [7a – {11a2 – 9a – (23 – 15a – 17a2)}]
20. Solve the following equations.
(i) (12x – 7) – (5x + 6) = 3 – (8 – 2x)
(ii) (5y – 7) – (2y – 35) = 3 – (1 – 4y)
21. (i) A girl is 5 years younger than her brother. If the sum of their ages is 23 years, find the
ages of the girl and her brother.
(ii) A man's age is 30 years more than the age of his son. If the sum of their ages is 56 years,
find the age of the son.
22. Simplify: 2a – 3b – [6a – 8b – {7a – (9b – 8a) – 3b}]
23. Write the following sets in the tabular form and find their cardinal numbers.
(i) A = {x | x is a prime factor of 210}
(iii) C = {x | x is a letter of the word MATHEMATICS}
24. Show the sets A and B in the same Venn diagram in each of the following.
(i) A = {a, b, c, d} and B = {e, f, g}
(ii) A = {1, 2, 3, 4, 5} and B = {2, 3, 4}
25. (i) Divide 180 into two parts which are in the ratio 3 : 2.
(ii) Divide: ` 343 among Kumar and Sheela in the ratio of 4 to 3.
26. 15. In a proportion three of the terms are given. Find the remaining term in each case.
(i) The first, third and fourth terms are 18, 40 and 120 respectively.
(ii) The second, third and fourth terms are 48, 10 and 32 respectively.
27. A bottling machine fills 500 bottles in 15 minutes. How many bottles will it fill in 48
/minutes?
28. Ramesh could run a 100-m race in 20 seconds. After training, he can finish the race in 15
seconds. By how much has he improved his speed?
29. Simplify.
(i) 23417692 – 176983523 - 82356 + 502135222
4
(ii) 15307 - 6783059 + 98765402 - 47352735
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(iii) 30200100 - 7900344 + 60708090 - 37285906
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30. A dairy had 725 L of milk with it. It sold 678 L 250 mL of milk. How much milk was
with it?
31. Estimate each of the following product.
(i) 27 × 73 (ii) 594 × 248 (iii) 674 × 389
32. Test the divisibility of the following numbers by 3.
(i) 579 (ii) 4738923 (iii) 8097435
33. Find the HCF of the following.
(i) 60, 84, 108 and 132
(ii) 84, 56, 35 and 112
34. Observe the following pattern.
Now, find the following.
(i) 2 + 4 + 6 + 8 + 10
(ii) 2 + 4 + 6 + 8 + 10 + 12 + 14
35. Evaluate the following.
(i) 66 – (–12) (ii) (+108) – (–80) (iii) 15 – (–32)
36. Find the following quotients.
(i) 84 ÷ (+6) (ii) (-75) ÷ (–15) (iii) 77 ÷ (+11) (iv) (-128) ÷ 8
37. Find the following.
3 5 1 7 3 11
(i) 1 – (ii) 3 –2 (iii) 8−1 (iv) 6 −5
16 16 4 10 8 14
38. Find the following.
2 9 4 7 2 3 1 1 1
(i) × × (ii) 6 × 6 × (iii) 2 ×2 ×2
3 16 27 8 11 10 9 5 22
1 1
39. Mr Menon had ` 2,25,000. He gave of it to his son, of it to his daughter, and the rest
3 5
to his wife. What portion of his money did his wife get and how much did she get?
40. Find the following.
1 3 1 4 7 8 4 3 8 3 9
(i) 5 ÷ × (ii) ÷ of (iii) 1 −2 of + +
5
4 7 2 5 15 9 5 4 11 8 10
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41. Bhavya's school is at a distance of 6 km 50 m from her house. She travels 600 m on foot
and the rest by her school bus. How much distance does she travel by bus?
42. If 40 vessels of equal capacities can be filled with 186 litres of water, find the capacity of
each vessel.
43. 3.21 × 4.5 × 6.13
6
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