Answers of Mid year sample paper (class 7)

 

Sample paper - class 7 (mid year - 2025)

                                MID-YEAR EXAMINATION – 2025 – 2026

                                                                  SAMPLE PAPER

STD: VII                                                                                               Subject: MATHEMATICS
Time: 2 hours 15 min                                                           Marks: Obj: 15 Main: 65 Total: 80

---

Part A – Objective                                                     (15 Marks)

1. Choose the correct answer (7 × 1 = 7)

i) The additive inverse of  –18 is:
a) 18  b) –18  c) 0  d) 36

ii) The product of 

${\displaystyle \frac{5}{12}}\times {\displaystyle \frac{6}{25}}$ is:
a) ${\displaystyle \frac{1}{10}}$  b) ${\displaystyle \frac{1}{12}}$  c) ${\displaystyle \frac{1}{5}}$  d) ${\displaystyle \frac{5}{50}}$

iii) The reciprocal of 0.25 is:
a) 25  b) 0.04  c) 4  d) 1

iv) Which of the following is a rational number?
 a)

$\sqrt{2}$  b) ${\displaystyle \frac{-7}{9}}$  c) π  d) $\sqrt{5}$

v) In the expression 3x²–5x+7  , the coefficient of x is:

a) 7  b) –5  c) 3  d) –7

vi) If one angle of a linear pair is 120°, then the other angle is:
a) 30°  b) 45°  c) 60°  d) 120°

vii) Two angles of a triangle are 50° and 60°. The third angle is:
a) 60°  b) 70°  c) 80°  d) 90°

---

2. Fill in the blanks                                                                               (6 × 1 = 6)

a) –45 ÷ (–9) = _______

b) 7.8 × 1000 = _______

c) 3/4  ÷  9/16$=$ _______

d) The sum of rational numbers -2/5$=$ _______

e) The exterior angle of a triangle is equal to the sum of its _______ interior opposite angles.

f) A triangle with sides 6 cm, 8 cm, and 10 cm can/cannot be constructed. (Write “can” or “cannot”)

---

3. Write True or False                                                                            (2 × 1 = 2)

i) The product of two negative integers is always negative. ( )
ii) If two lines intersect each other, then exactly one point of intersection exists. ( )

---

Part B – Main                                                             (65 Marks)

Answer the following:                                                                         (10 × 3 = 30)

4. Simplify: (-15) x (-12) + (-15) x (-8) + (-15) x 10
   

5. Add: (3x+4y-7) + (5x-6y+9) - (2x-y-3)

6. A bus goes 75 km in one hour. How much distance will it cover in 4 3/8 hours ?

7. In the triangle △XYZ, ∠X = 70°, ∠Y = 40°. Find ∠Z of the triangle XYZ.

8. The angles of a triangle are in the ratio 3:4:5. Find the angles.

9. Arrange the following rational numbers in ascending order:
   −2/7,         5/14,      −3/14,    1/7

10. One side of an equilateral triangle is (4x + 3) cm. Find its perimeter when x = 5.

11. Find the value of  'x' in the below given diagram.

    
    
                                  

12. The length of a rectangle is 8.4 cm and its breadth is 6.2 cm. Find its area.

13. Find the value of: 2a²b - 3ab² + 4ab, when a = 2, b = 3.

---

Solve the following:                                                                             (5 × 4 = 20)

14. The product of two decimals is 0.1472. If one of them is 0.46, find the other.

15. In a diagram,y||z. find the value of 'p'. 

    
    
    
    
    
    

16. List five rational numbers between –2 and –1.

17.  In the following figure the sides BC, CA and BA of a △ABC have been produced to D, E and F respectively. If ∠ACD = 105॰ and ∠EAF = 45° ; find all the angles of the △ABC.

    
    
    

18. Construct a triangle XYZ in which XY = 4.5 cm, YZ = 5 cm, and XZ = 6 cm.

---

Solve the following:                                                                             (3 × 5 = 15)

19. (i) In the figure, find the values of 'p' and 'q'.

    
    
    (ii) Find the values of x, y, and z.
    
    
    

20. The sum of (7m² – 3m + 5) and (5m² + 4m – 2) is greater than their difference by how much?

21. Simplify with suitable property                                                                                                          a) (-8) x 20 x 125 x  (-5)                                                                                                                      b) 725 x 143 + (-44) x 725 + 725

---

Math sample paper ( class 2)

---

Grade 2 – Mathematics Test

Marks: 40  Time: 1 Hour

---

Section A – Multiple Choice Questions (1 × 5 = 5 marks)

1. The place value of 6 in 6,214 is:
   a) 6  b) 60  c) 600  d) 6000

2. Which number comes just before 4000?
   a) 3999  b) 4001  c) 3000  d) 4999

3. 325 + 174 = ?
   a) 499  b) 489  c) 501  d) 509

4. Which of the following is an odd number?
   a) 820  b) 321  c) 760  d) 200

5. 5 times 7 = ?
   a) 30  b) 35  c) 40  d) 45

---

Section B – Fill in the blanks (1 × 5 = 5 marks)

1. 100 less than 950 is __________.

2. Compare: 673 ____ 7 tens + 3 ones.

3. The greatest 3-digit even number is __________.

4. 2 + 2 + 2 + 2 + 2 = ___ × 2 = __________.

5. The number between 4999 and 5001 is __________.

---

Section C – True or False (1 × 5 = 5 marks)

1. 712 is an even number. (____)

2. 645 – 200 = 845. (____)

3. 3 × 10 = 30. (____)

4. 2005 is greater than 2050. (____)

5. In 4,528 the digit in the tens place is 5. (____)

---

Section D – Solve the following sums (2 × 5 = 10 marks)

1. Add: 234 + 465

2. Add: 345 + 210 + 13

3. Subtract: 854 – 422

4. (i) Write the number name of 4,579                          (ii) Write the numerals : Two thousand and seventy.

5. Multiply:
     a) 2 × 8  b) 3 × 6  c) 10 × 5

---

Section E – Statement Sums (3 × 5 = 15 marks)

1. A shopkeeper had 240 toys. He bought 135 more toys. How many toys does he have now?

     

     Number of toys shopkeeper had =  ___________

     Number of toys bought more      =   ___________

      Number of toys he have now     =   ___________

2.  A farmer has 650 oranges. He sells 200 oranges. How many oranges are left?

     Number of Oranges farmer has = ____________

     Number of Oranges sold              = ____________

     Number of Oranges left               = ____________

 3. A school has 1,020 students. 310 of them are girls. How many are boys?

      Number of students in school  =  _____________

      Number of girls in school         =  _____________

      Number of boys in school        =   _____________

                         ***********************

Sample English question paper (class 2)

 Sample worksheet for English- class 2

I. Read the lines and answer the following questions :

1.  " The wind will never let you finish your web! Give it up and save your strength".

  a) Name the lesson?

      _______________________________________.

  b) Who said these lines to whom?

      _______________________________________.

2.  Boats sail on the rivers,

     And ships sail on the seas;

     But clouds that sail across the sky

     Are prettier far than these.

    a) Name the poem?

       ______________________________________.

     b) What are 'these' refers to?

       ______________________________________.

     c) Who wrote this poem?

       ______________________________________.

II.  Complete the lines :

      Between the trees, ____________

      ________________________________

      ________________________________

      ________________________________

      ________________________________

      __________________ on its way.

III. Choose the correct answer:   

      1.  What is the " bow that bridges heaven"?

           a) The rainbow

            b) The trees

            c) The river

      2. The wind seemed to blow with even more furry.

            a)  to try

            b) extreme anger

            c)  very powerful

 IV.  Rewrite the sentences with plural form:

       1. The person is waiting at the bus stop.

           ____________________________________________.

        2. A leaf fell from the tree.

           ____________________________________________.

V. Rewrite the sentences with Masculine gender :

        1. The goose is swimming in the pond.

           ___________________________________________.

        2. The witch flew on her broomstick.

           ___________________________________________.

VI. Punctuate:

        1. i live in chennai with my parents

            __________________________________________.

        2. rahul is going to delhi tomorrow

            __________________________________________.

VII.  Sort the words in respective place:

          city,   Ravi , dog ,  blue,    Taj Mahal , happy , 

                 Common noun             proper noun.            Describing word

                 

                 ________________.           ______________            __________________

                 ________________.           _______________          ___________________

VIII. Reading Comprehension

Riya is a little girl who loves animals. Every evening, she goes to the park near her house. She feeds the birds and plays with the dogs. One day, she found a kitten under a bench. It was hungry and scared. Riya took the kitten home and gave it milk. She named it Snowy. Now, Snowy is her best friend.

---

Questions:

1. What does Riya love?
a) Flowers
b) Animals
c) Toys
d) Books

2. Where does Riya go every evening?
a) To school
b) To the zoo
c) To the park
d) To the shop

3. What did Riya find under the bench?
a) A puppy
b) A bird
c) A ball
d) A kitten

4. What did Riya name the kitten?

   ______________________________________.

5. How did Riya help the kitten?

________________________________________.

IX. 

   

Multiple Choice Questions (MCQ):

1. What is the boy doing in the picture?
   a) Reading a book
   b) Kicking a football
   c) Eating ice cream
   d) Sleeping

2. What can you see in the background?
   a) A swimming pool
   b) A mountain
   c) A wheel
   d) A hospital

Fill in the Blanks:

3. The girl sitting on the grass is __________ a book.

4. The mother is holding the __________ of her daughter.

True or False:

5. There are five people in the picture.
   (True / False)

6. The picture shows a cloudy day.
   (True / False)

                                                        ******************************

Modal test paper (PT 1 class -7)

---

         Class 7 Mathematics Test

Max Marks: 40 | Time: 1 hour 15 minutes
Chapters: 

---

Section A – Choose the Correct Answer (3 × 1 = 3 marks)

Tick (✓) the correct option.

1. The additive inverse of $-\mathrm{12 }$ is:
   a) 12  b) –1  c) –12  d) 0

1. Which pair of terms are like terms?
   
   a) 25x, −25y     b) 4a²b, −6ba²    c) 4a²bc, −6b²ac    d) 5p², 5q²

2. If the lines P and Q are parallel, cut by a transversal T ,then alternate interior angles are ______.

           a) supplementary   b) equal    c) both (a) and (b)    d) none of these

---

Section B – Fill in the Blanks (3 × 1 = 3 marks)

4. - 36 ÷ (_______) = - 9

5. The perimeter of a rectangle with length $l$ and breadth $b$ is given by the formula ___

6. The complement of an angle 27° is __________.

---

Section C – True or False (2 × 1 = 2 marks)

7.  5x² − 5 + 6x + 2 is a trinomial. (True / False)

8. ¹²⁄₂₅ of a meter is equal to 45 cm.  (True / False)

---

Section D – Answer the Following (7 × 2 = 14 marks)

9.                     

   
   
   

10. Aarif covered 3/5 of his journey by cycle, 1/3 by train and rest by car. What fraction of his journey was covered by car? 

11. Evaluate the following: a) (₋325) ÷ (₋ 13)        b) {(₋50) +(₋6)} ÷ {( ₋8 +1)}

12. $Arrange the fractions  6/7,  7/8,  4/5 and  3/4 in descending order.$

13. What must be added 5p³ − 3p² + 4p + 3 to get 8p³ + 6p − 7

14. Simplify: 8(2a + 3b - c) -10(a +2b +3c) 

15. From the figure, find  x + y    

                     

---

Section E – Solve the Following (6 × 3 = 18 marks)

Show complete steps.

16. In a test, (+5) marks were given for every correct answer and (₋2) marks were given for every incorrect answer and 0 marks for an attempted question. Rahul gets 5 correct answers and 4 incorrect answers out of given 10 questions.                                                                                    a) What is Rahul’s score?                                                                                                                  b) How many marks did he score for correct answers?                                                                    c) How many questions did he leave without attempting?

17. Three sides of a triangle are 3a + 4b – 2, a – 7 and 2a – 4b + 3. What is its perimeter?

18. Find the value of  7 1⁄3 + 3 2⁄3 - 5 1⁄6

19. Simplify 3x(4x – 5) + 3 and find the values for: (i) x = 1 (ii)  x = 1/2.

20.    

    
    
    

21.                                                                                                                             

---

Math sample test (Grade 2)

 

📝 Grade 2 Math Test Worksheet

Topic: Numbers up to 2000

Total Marks: 50

Time: 1 Hour

Section A: Fill in the Blanks (10 × 1 = 10 marks)

1. The number after 899 is ______.

2. 8 times 2 is __________________.

3. The place value of 4 in 1482 is ______.

4. The face value of 7 in 1786 is ______.

5. 10 more than 995 is ______.

6. 100 less than 1202 is ______.

7. The short form of 1000 + 20 + 300 + 4 is ______.

8. ______ comes between 698 and 700.

9. The expanded form of 1408 is ____________________.

10. The _______ month of the year is November.

Section B: Choose the Correct Answer (6 × 1 = 6 marks)

11. What comes just before 2010?

a) 2011 b) 2009 c) 2001

12. Which number is greater?

a) 1452 b) 1525 c) 1542

13. 10 less than 1305 is:

a) 1295 b) 1300 c) 1315

14. Which is the correct expanded form of 1240?

a) 1000 + 240 b) 1000 + 200 + 40 c) 1200 + 40

15. Thursday is the ____ day of the week.

a) Fourth b) Second c) Fifth

16. What is the place value of 2 in 1234?

a) 2 b) 200 c) 20

Section C: Match the Following (4 × 1 = 4 marks)

       A                                      B

17. 1600           a) 10 more than 1439 ( )

18. 8th             b) One thousand six hundred( )

19. 1550           c) Eighth ( )

20. 1449 + 10   d) 1000+ 500+50 ( )

Section D: True or False (5 × 1 = 5 marks)

21. 1800 is greater than 1890. ______

22. The face value of 6 in 1627 is 600. ______

23. 999 comes just before 1000. ______

24. The 5th number in a list is called “Fifth.” ______

25. 10 less than 1025 is 1015. ______

Section E: Word Problems (5 × 5 = 25 marks)

26. Compare: (<, >, or =)

(i) 1 thousand + 5 ones _______ 1050

(ii) 1000 + 40 + 6 _______ 1406.

(iii) Ascending order: 1502, 1498, 1510, 1480

___________________________________

(iv) Descending order: 1098, 1908, 1180, 1980

___________________________________

27. Look at the picture

(i) Giraffe is in which position _________.

(ii) Which animal is after the horse and before the turkey _____.

(iii) ______ is in eleventh position.

(iv) Which animal is 4th from the lion _______.

28. A mystery number has 4 digits.

• Its thousands place is 1

• Its ones place is 5

• Its hundreds place is 0

• Its tens place is 8

a) What is the number?_____________.

b) Write its number name.__________.

c) What is its expanded form?________________.

d) What is the face value and place value of 5 in the number?____________.

29. I am thinking of a number.

• It comes between 1349 and 1351

• It has 4 digits

• The digit in the hundreds place is 3

• The digit in the tens place is 5

a) What is the number?_______.

b) Write the number in words._________________.

c) Write 10 more and 10 less than this number.

__________,____________.

d) What is the ordinal position of this number if counting starts from 1348?________.

30. Look at these numbers: 1420, 1402, 1240, 1204

a) Write these numbers in ascending order

________________________________________.

b) Which number has 2 in the hundreds place?

______________________.

c) Which number has the greatest value?_______.

d) Write the expanded form of the smallest number.____________________________________.

Model paper answer

 

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
   • Solution: 3.75 + 2.60 = 6.35
   • Answer: (b) 6.35

2. Find the value of 6 - (-4).

   • a) -24
   • b) 24
   • c) -12
   • d) 10
   • Solution: 6 - (-4) = 6 + 4 = 10
   • Answer: (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
   • Solution: 12:36 = 1:3
   • Answer: (b) 1:3

4. Convert 0.75 into a fraction.

   • Solution: 0.75 = 75/100 = 3/4
   • Answer: 3/4

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

   • a) y - 4
   • Answer: (a) y - 4

Fill in the Blanks

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

   • Solution: Perimeter = 4 × 5 = 20 cm
   • Answer: 20 cm

7. Write the decimal form of 7/10

   • Solution: 7/10 = 0.7
   • Answer: 0.7

8. A regular hexagon has ___ lines of symmetry.

   • Solution: A regular hexagon has 6 lines of symmetry.
   • Answer: 6

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

   • Answer: n

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

    • Solution: Perimeter = 4 + 4 + 6 = 14 cm
    • Answer: 14 cm

---

True or False

11. . The sum of all angles in a triangle is 180°.
    ✅ True
    ✔ Solution: According to the triangle angle sum property, the sum of the interior angles of any triangle is always 180°.

    ---

    12. A bar graph represents numerical data.
    ✅ True
    ✔ Solution: A bar graph is a type of graphical representation that uses bars to show numerical data, making it easier to compare values visually.

    ---

    13. The reciprocal of 5/6 is 6/5.
    ❌ False
    ✔ Solution: The reciprocal of a fraction $a/b$ is obtained by swapping the numerator and denominator, giving $b/a$.

    • Reciprocal of $5/6$ is indeed $6/5$, but the given statement says "is 6/5", which makes it true.
    • If the statement is miswritten, the question may need clarification.

    ---

    14. If 2x = 10, then x = 4.
    ❌ False
    ✔ Solution: Solve for $x$:

    $$2x = 10$$
    $$x = \frac{10}{2} = 5$$
    

    The correct answer is $x = 5$, not 4.

    ---

    15. The area of a rectangle is given by the formula: $2 \times (\text{Length} + \text{Breadth})$
    ❌ False
    ✔ Solution:

    • The correct formula for the area of a rectangle is: $$\text{Area} = \text{Length} \times \text{Breadth}$$
    • The given formula $2 \times (\text{Length} + \text{Breadth})$ is actually the formula for the perimeter of a rectangle.

Section B: Short Answer Questions (2 marks each)

16. Add: 5.25 + 2.89 + 3.6

• Solution:
  $5.25 + 2.89 + 3.6 = 11.74$
  
• Answer: 11.74

17. Subtract: (-7) - (-12)

• Solution:
  $(-7) - (-12) = -7 + 12 = 5$
  
• Answer: 5

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

• Numbers: 0.0092, 0.092, 0.902, 0.009
• Ascending order: 0.009, 0.0092, 0.092, 0.902
• Descending order: 0.902, 0.092, 0.0092, 0.009

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

• Solution:
  $300 + 20 + 3 + 0.4 + 0.05 = 323.45$
  
• Answer: 323.45

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

• Solution: Draw a line segment of 6 cm, take equal radius from both endpoints, and draw arcs above and below. Connect intersection points to form a perpendicular bisector.

20. Ratio of Money Withdrawn to Deposited and Remaining in Bank

• Solution:
• Money deposited = ₹2050
• Money withdrawn = ₹410
• Remaining balance = ₹2050 - ₹410 = ₹1640
• (a) Ratio of withdrawn to deposited: $410:2050 = 2:10 = 1:5$
  
• (b) Ratio of withdrawn to remaining: $410:1640 = 1:4$
  

21. Distance traveled in a square park (side 10m) for 5 rounds

• Solution:
  • Perimeter of square = $4 \times 10 = 40$ meters
  • Distance in 5 rounds = $40 \times 5 = 200$ meters
• Answer: 200 m

22. State whether the figure shows rotational symmetry and its order.

• Solution: If a shape looks the same after a rotation of less than 360°, it has rotational symmetry. The order is the number of times it matches itself. (Diagram needed for exact order.)

23. Solve: 3x - 4 = 11

• Solution:
  $3x = 11 + 4 = 15$
  $x = 15/3 = 5$
  
• Answer: x = 5

24. Write 18.5 as a fraction in the simplest form.

• Solution:
  $18.5 = 185/10 = 37/2$
  
• Answer: 37/2

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

• Solution: Check if $20:25 = 12:15$
  
  • $20/25 = 4/5$
    
  • $12/15 = 4/5$
    
  • Since they are equal, they are in proportion.
• Answer: Yes

Section C: Long Answer Questions (4 marks each)

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

• Solution:
  • $P = 2 (L + B)$
    
  • $64 = 2 (20 + B)$
    
  • $64/2 = 20 + B$
    
  • $32 - 20 = B$
    
  • $B = 12$
    
  • Area = L × B = 20 × 12 = 240 cm²
• Answer: Breadth = 12 cm, Area = 240 cm²

27. Represent the data 3, 5, 7, 2, 4, 6 in a bar graph.

• Solution: Create a bar graph with students on the x-axis and the number of books read on the y-axis.

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

• Solution: Draw a line, place compass at a point, draw arcs at equal distances, and bisect to create a 90° angle.

29. Compare areas of a square and rectangle with the same perimeter (48 cm). The length of the rectangle is 14 cm.

• Solution:
  • Square perimeter = $4s = 48 \Rightarrow s = 12$
    
  • Area of square = $12 \times 12 = 144$cm²
  • $2 (14 + B) = 48$
    
  • $14 + B = 24 \Rightarrow B = 10$
    
  • Area of rectangle = $14 \times 10 = 140$
    
  • Comparison: Square has a larger area.
• Answer: Square area = 144 cm², Rectangle area = 140 cm²

30. Prepare a frequency distribution table for die rolls.

• Solution: Count occurrences of each number:

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

31. Find the area of a path of width 2m running inside a rectangular garden of 50m × 30m.

• Solution:
  • Outer area = $50 \times 30 = 1500$m²
  • Inner dimensions = $(50-4) \times (30-4) = 46 \times 26 = 1196$ m²
  • Path area = $1500 - 1196 = 304$ m²
• Answer: 304 m²

32. Shopkeeper mixes two types of rice in a 3:2 ratio, total weight 50 kg. Find the quantity of each.

• Solution:
  • $3x + 2x = 50 \Rightarrow 5x = 50 \Rightarrow x = 10$
    
  • First type = $3 \times 10 = 30$kg
  • Second type = $2 \times 10 = 20$kg
• Answer: 30 kg and 20 kg

33. Analyze the visitors' graph.

• Solution: (Based on given data)
  • (a) Visitors on Thursday: (Check the graph)
  • (b) Maximum and minimum visitors (From graph)
  • (c) Compare total visitors on specified days

Model annual math question paper - 2 (class 6)

 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.

              *************************

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?