Grade-6 Maths Sample Paper 2024

Grade-6 Maths Sample Paper 2024

Grade-6 Maths Sample Paper 2024​

Vacancy Connect
Subject : Maths 
Class : VI
Duration : 3 Hrs.                                                 Max. Marks  80

General Instructions:
This question paper contains two Parts A and B. Both Part A and B have internal choices.

Part – A :

1. It consists of two sections-I & II
2. Section I has 6 questions on the Case Study. Each case study has four sub-parts.
3. Section II has 16 questions (Questions No. 7 to 22) of 1 mark each. Internal choice is
provided in 5 questions.
Part – B :
1. Questions No. 23 to 28 are Short Answer Questions (Type-I) of 2 marks each.
2. Questions No. 29 to 34 are Short Answer Questions (Type-II) of 3 marks each.
3. Questions No. 35 to 36 are Long Answer Type Questions of 5 marks each.
4. Internal choice is provided in 2 questions of 2 marks, 2 of 3 marks, and 1 of 5 marks.

Part – A (Section – I)

Case study-based questions are compulsory. Each case study has four 

case-based subparts. Each sub-part carries 1 mark.                   (4×6=24)

Q1. Practical geometry is the construction of geometrical objects,  it is an important branch of geometry. Practical geometry is all about learning the drawing tools like scale, protractor, a pair of compasses thus with the help of these tools, we draw lines, line segments, perpendicular lines, angles, and circles.

  (i)  Number of lines which can be drawn from one point is/are ____.

    (a) infinite                    (b) 1                        (c) 2                       (d) None of these    

  (ii) The number of circles passing through a given point is/are ____. 

    (a) 1                               (b) 2                       (c) 3                        (d) infinite

  (iii) How do you draw an angle of 90º? 

    (a) By drawing a perpendicular to a line from a point lying on it.

    (b) By bisecting a 120º angle.

    (c) By bisecting a 60º angle.                                                                       

    (d) None of these

  (iv) If the diameter of a circle is 22 cm, then the circle’s radius is  ___ .

    (a) 5.5 cm                            (b) 11 cm                    (c) 4.5 cm                   (d) None of     

    these

Q2. A boy went to a market. He purchased 6 kg 450 g rice, 4kg 250 g of sugar, 1 kg salt, 250 g tea and 7kg 50 g Atta. Using this information answer the following questions :

  (i) The weight of salt he purchased is ______more than the weight of tea.

    (a) 1000 g                         (b) 750 g                     (c) 250 g                  (d) None of these

  (ii) If we arrange all weights in ascending order then which weight comes in the

  middle?

    (a) 6 kg 450 g                      (b) 1 kg                         (c) 250 g                          (d) 4kg 250 g

  (iii) The decimal form of 6kg 450 gm is ___.

    (a)  64.50 kg                        (b) 6.450 kg                       (c) 6.45 kg                      (d) both (b) and (c)

  (iv) The weight of atta is _____ more than the weight of sugar. 

    (a) 2.800 kg                       (b) 3.250 kg                      (c) 3.520 kg                   (d) none of these

Q3.      In a class, some students discuss about fractional numbers and all of them assume a fractional number. Rahul’s number is 3/2,  Ajay’s number is 5/4,  Aman’s number is 1/5  and Anil’s number is 1/4. Answer the following questions based on the given information.

(i)         Sum of all the fractional numbers is ______ .

            (a) 63/20                 (b) 64/20                   (c) 62/20                   (d) 65/20

(ii)        The smallest fractional number is _____.

            (a) 3/2                   (b) 5/4                   (c) 1/5                   (d) 1/4

(iii)       The biggest fractional number is ______.

            (a) 3/2                   (b) 5/4                    (c) 1/5                    (d) 1/4

(iv)       The sum of Rahul’s fractional number & Ajay’s fractional number is ___ .

            (a) 13/4                   (b) 11/4                   (c) 10/4                   (d) 14/4

Student giving Maths exam

Q4. The quantities with fixed (that does not change) numerical values are known as constants. The quantities whose values can vary or change are called variables. The value of a variable is not fixed. And a combination of constants and variables connected by any of the symbols +, -, ×, ÷ is called an algebraic expression. Answer the following questions based on the given information.

(i)         Find the expression for the statement: 6 times y to which 4 is added.

            (a) 6y+4            (b) 4y+6           (c) 4y/6                   (d) None of these

(ii)        Find the expression for the statement: 5 times y from which 3 is subtracted.

            (a) 5y+3            (b) 5y–3            (c) 3–5y            (d) None of these

(iii)       Find the expression for the statement: 7y is multiplied by –18.

            (a) 7y–18          (b) 7y+18          (c) –126y          (d) 126y

(iv)       Find the expression for the statement: y is multiplied by –11 and then 23 is added to the result.

            (a) 23–11y        (b) 23+11y        (c) 23y+11        (d) 23y–11

Q5.       Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with a length 60 m and a breadth 45 m. Answer the following questions based on the given information.

(i)         What is the perimeter of the square park?

            (a) 280 m          (b) 320 m         (c) 300 m          (d) None of these

(ii)        What is the perimeter of the rectangular park?

            (a) 220 m          (b) 210 m         (c) 190 m          (d) None of these

(iii)       Who covers less distance?

            (a) Sweety                                (b)  Bulbul       

            (c) Both cover the same distance     (d) None of these

(iv)       What is the area of the rectangular park?

            (a) 2560 m2       (b) 2720 m2       (c) 2700 m      (d) None of these

Q6.      The mother wants to divide Rs 36 between her daughters Shreya and Bhoomika by their ages. If age of Shreya is 15 years and the age of Bhoomika is 12 years. Answer the following questions.

(i)         What is the ratio between their ages?

            (a) 4 : 5                         (b) 3 : 4            (c) 5:4              (d) None of these

(ii)        How much money Shreya will get?

            (a) Rs. 18          (b) Rs. 22         (c) Rs. 20          (d) None of these

(iii)       How much money Bhoomika will get?

            (a) Rs. 14          (b) Rs. 16         (c) Rs. 18          (d) None of these

(iv)       What is the difference between the money they have got?

            (a) 5                 (b) 3                 (c) 4                 (d) None of these

(Section – II)

Fill ups / True-False / MCQ:               (1×16=16)

Q7.       Mixed fraction of 5/2 is ______ .

                                  OR

            The simplest form of  12/20 is _______.

Q8.       1 meter = _______  cm

                        OR

            3 g = _____ Kg

Q9.       The shape of your class room blackboard is ________ .

Q10.     _____ is the sum of all sides .

             OR

            The amount of surface enclosed by a figure is called its  _____ .

Q11.     The product of  2 and x is being added to the product of 3 and y is expressed as _____.

Q12.     The weight of 25 copies is 5 kg. Then the weight of 30 such copies is __ . 

OR

            In the proportion x : 6 = 25 : 5, then the value of  x is ______ .

Q13.     The circle  has ______ line/lines of symmetry.

Q14.     A ________ is the longest chord of a circle.

OR

            The diameter of the circle is _______ times the radius of the circle.

 True/false                                                                                         

Q15.     All fractions can be expressed as mixed fractions.                       T/F

Q16.     To find the length of fencing the square playground we must find its perimeter.                                                                                                          T/F

Q17.     5 times x subtracted from 8 times y is 5x-8y.                              T/F

Q18.     A quantity having fixed value is called variable.                          T/F

Q19.     Symmetrical parts of an object are identical to each other.           T/F

Q20.     Two line segments are compared in terms of their lengths.          T/F

Q21.     For tilling a rectangular plot, we must calculate its area.              T/F

Q22.     1 kg  is equal to 100 grams.                                                                  T/F

(Part – B)

Short Answer Questions (Type-I)                                (2×6=12)

Q23.   Write the natural number from 2 to 12 . What fraction of them are prime numbers ?

                  OR

            Compare 3/5 and 3/7.

Q24.     Find : 27.076 + 0.55 + 0.004

Q25.     Find the perimeter of a rectangle whose length and breadth are 150 cm and 1 m respectively.

                                             OR

 Write expression for the given statement: y is multiplied by –8 and then 5 is added to the result.

Q26.     The sides of an equilateral triangle is shown by L . Express the perimeter of the equilateral triangle using L.

Q27.     List any four symmetrical objects from your home or school.

Q28.     Draw a line segment of length 9.5 cm and construct its perpendicular bisector.

Short Answer Questions (Type-II)                               (3×6=18)

Q29.     Nandini’s house  is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk?

Q30.     Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500g is onions, 2kg 75g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

                              OR

Cost of a dozen pens is Rs. 180 and cost of 8 ball pens is Rs. 56. Find the ratio of the cost of a pen to the cost of a ball pen.

Q31.     Find the cost of fencing  a rectangular park of length 175 m and breadth 125 m at the rate of Rs. 12 per metre.

Q32.     The length of a rectangular hall is 4 meters less than 3 times the breadth  of the hall. What is the length, if the breadth is b meters?

                                                         OR

            Pick out the solution from the values given in the bracket next to the given  equation.

            N + 12 = 20          (12, 8, 20, 0)

Q33.     Draw an angle of measure 135° and bisect it.

Q34.     Javed  was given 5/7 of a basket of oranges. What fraction of oranges was left in the basket?

Long Answer Type Questions:                         (5×2=10)

Q35.     A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km ?

OR

            Present age of father is 42 years and that of his son is 14 years. Find the ratio of :

(i)         the present age of father to the present age of son.

(ii)        the age of the father to the age of son, when son was 12 years old.

(iii)       the age of father after 10 years to the age of son after 10 years.

(iv)       the age of father to the age of son when father was 30 years old.

Q36.     Answer the following questions:

(a)        Draw a shape which has exactly one line of symmetry

(b)        Draw a shape which has exactly two lines of symmetry?

(c)        Draw a shape which has exactly three lines of symmetry?

(d)        Write the alphabet which has only vertical line of symmetry.

(e)        Write the alphabet which has both vertical and horizontal line of symmetry.

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