Answer key- class 7 annual practice paper

 Answer key

SECTION A

1. 3x − 5 = 2x + 7 ⇒ 3x − 2x = 7 + 5 ⇒ x = 12 → a

2. 2³ × 4² = 8 × 16 = 128 → b

3. 25% of 400 = 100, so new value = 500 → b

4. 650 is not a perfect square → d

5. Third angle = 180 − (45 + 65) = 70° → a

6. Rhombus has 2 lines of symmetry → b

7. SP = 1000, discount 20% ⇒ SP = 800, gain 20% ⇒ CP = 800 ÷ 1.2 = 666.67 ≈ 700 → b

8. (3²)³ = 3⁶ = 729 → c

9. Area = ½ × base × height, if base doubles → area doubles → a

10. Cuboid has 12 edges → b

11. Congruent triangles: equal sides and angles → b

12. Mean = (2+4+6+8)/4 = 20/4 = 5 → b

13. Smallest 3-digit perfect square = 100 → a

14. 10² ÷ 10⁰ = 100 ÷ 1 = 100 → a

15. Parallelogram rotational symmetry order = 2 → b

SECTION B

16. 8 − {3 + 2[5 − (3 − 1)]}
    = 8 − {3 + 2[5 − 2]}
    = 8 − {3 + 2×3}
    = 8 − {3 + 6}
    = 8 − 9 = −1

17. 7x/8 + 1/4 = 3/4
    Convert 1/4 = 2/8 ⇒ 7x/8 + 2/8 = 6/8
    ⇒ (7x + 2)/8 = 6/8 ⇒ 7x + 2 = 6 ⇒ 7x = 4 ⇒ x = 4/7

18. Successive discounts:
    1000 × 0.9 × 0.8 = 1000 × 0.72 = ₹720

19. (3⁵ × 10⁵ × 25)/(5⁷ × 6⁵)
    10⁵ = (2×5)⁵ = 2⁵×5⁵
    25 = 5²
    6⁵ = (2×3)⁵ = 2⁵×3⁵
    Cancel: 3⁵ cancels, 2⁵ cancels
    Remaining: (5⁵×5²)/5⁷ = 1 → 1

20. Let equal sides = x, base = x/2
    Perimeter = x + x + x/2 = 30
    ⇒ (5x /2) = 30 ⇒ x = 12
    Base = 6
    Sides: 12 cm, 12 cm, 6 cm

21. Total outcomes = 25
    (i) Multiples of 3 or 5: {3,5,6,9,10,12,15,18,20,21,24,25} = 12
    Probability = 12/25
    (ii) Perfect squares: {1,4,9,16,25} = 5
    Probability = 5/25 = 1/5

22. Regular pentagon: 5 lines, order 5
    Parallelogram: 0 lines, order 2
    Equilateral triangle: 3 lines, order 3

23. QRS ≅ QPS
    QS common
    ∠RQS = ∠SQP (angle bisector)
    ∠RSQ = ∠QSP (angle bisector)
    Hence congruent (ASA)

24. Construction steps:
    Draw AB = 5 cm
    At B construct 60°
    Cut BC = 6 cm on that ray
    Join AC

25. Circumference = πd = (22/7)×49 = 154 cm
    Distance in 100 rotations = 154 × 100 = 15400 cm = 154 m

SECTION C

26. 2^x × 4^{x+1} = 128
    4 = 2² ⇒ 4^{x+1} = 2^{2x+2}
    So 2^x × 2^{2x+2} = 2^{3x+2}
    128 = 2⁷ ⇒ 3x + 2 = 7 ⇒ 3x = 5 ⇒ x = 5/3

27. In Δ ABC, AB = AC, D midpoint of BC ⇒ BD = DC
    AD common
    AB = AC
    So Δ ABD ≅ Δ ACD ⇒ ∠ADB = ∠ADC = 90°
    Hence AD ⟂ BC

28. In triangle ABC:
    Angle A = 30° + 60° = 90°
    Angle C = 70°
    Angle B = 180 − (90 + 70) = 20° ⇒ a = 20°
    In triangle ADC: angles 60° and 70°, so c = 50°
    Then b = 180 −  50 = 130°
    Final: a = 20°, b = 130°, c = 50°

29. SI = 1768 − 1600 = 168
    SI = (P×R×T) /100 ⇒ 168 = (1600×6×T) /100
    ⇒ 168 = 96 T ⇒ T = 168/96 = 1.75 years (1 year 9 months)

30. Area of big circle = (22/7)×14² = 616
    Area of 2 small circles = 2×[(22/7)×3.5²] = 77
    Rectangle area = 3×1 = 3
    Remaining area = 616 − (77 + 3) = 536 cm²

SECTION D

31. Initial: 25² = 7² + x² ⇒ x² = 625 − 49 = 576 ⇒ x = 24
    New base = 24 + 8 = 32
    New height = √(625 − 1024) = √(−399) → not possible (ladder too short)
    So ladder cannot reach wall after moving → No height (invalid situation)

32. Bar graph: Plot students on x-axis and marks on y-axis with values
    Ajay 450, Bali 500, Dipti 300, Geetika 360, Hari 400, Faiyaz 540

33. (i) Rectangle area = 18×10 = 180
    Subtract triangles (calculate from diagram) → shaded area = 110 cm²
    (ii) Square = 20×20 = 400
    Subtract triangles → shaded area = 150 cm²

Annual practice question paper- class 7

CLASS VII – MATHEMATICS ANNUAL EXAMINATION 

Time: 2 hours 15 minutes
Maximum Marks: 80

SECTION A – OBJECTIVE (1 × 15 = 15)

(

1. If ( 3x - 5 = 2x + 7 ), then x =
   a) 12 b) -12 c) 2 d) 7

2. ( 2^3 × 4^2 = )
   a) 64 b) 128 c) 32 d) 256

3. Increase ₹400 by 25%:
   a) 425 b) 500 c) 480 d) 450

4. Which is NOT a perfect square?
   a) 441 b) 529 c) 625 d) 650

5. If two angles of a triangle are 45° and 65°, third angle is:
   a) 70° b) 80° c) 90° d) 100°

6. Number of lines of symmetry in a rhombus:
   a) 1 b) 2 c) 4 d) 0

7. A shopkeeper gives 20% discount on ₹1000 and still gains 20%. CP =
   a) 600 b) 700 c) 800 d) 900

8. ( (3^2)^3 = )
   a) 9 b) 27 c) 729 d) 81

9. Area of a triangle = 1/2 × base × height. If base doubles, area:
   a) doubles b) halves c) same d) quadruples

10. Number of edges in a cuboid:
    a) 8 b) 12 c) 6 d) 10

11. Congruent triangles must have:
    a) equal area only
    b) equal sides and angles
    c) equal perimeter only
    d) same shape only

12. Mean of 2, 4, 6, 8 is:
    a) 4 b) 5 c) 6 d) 8

13. The smallest 3-digit perfect square is:
    a) 100 b) 121 c) 144 d) 169

14. ( 10² ÷ 10⁰ = )
    a) 100 b) 0.01 c) 10 d) -100

15. A parallelogram has rotational symmetry of order:
    a) 1 b) 2 c) 3 d) 4

SECTION B – (10 × 3 = 30)

16. Simplify:
    ( 8 - { 3 + 2[5 - (3 - 1)] } )

17. Solve and check:     

    
    
    

18. After two successive discounts of 10% and 20%, find the final price of ₹1000.

19. Evaluate:
    
    

    
    
    

20. The base of an isosceles triangle is half the other two equal sides. The perimeter of the triangle is 30cm. What is the length of each side of the triangle.

21. A bag contains 25 cards numbered from 1 to 25. A card is drawn at random 

    from the bag. Find the probability that the number on the drawn card is:

    (i) divisible by 3 or 5.                 (ii) A perfect square number.

22. Complete the table:

Polygon	Lines of symmetry	Order of rotation
Regular pentagon	?	?
Parallelogram Equilateral triangle	?                     ?	?                         ?

23. In Fig., QX bisects ∠PQR as well as ∠PSR. State the three facts needed to ensure that △QRS = △QPS.Give reasons for each statement.

    
    
    

24. Construct a triangle ABC  with sides AB= 5 cm, BC = 6 cm and angle B = 60 ⁰ with a pair of compasses amd a ruler.

25. Find the distance covered by the wheel of a truck in 100 rotations if the diameter of the wheel is 49 cm.

SECTION C – (5 × 4 = 20)

26. If ( 2^x × 4^{x+1} = 128 ), find x.

27. In ΔABC, AB = AC. D is midpoint of BC. Prove that AD ⟂ BC.

28. Find the value of a, b, and c 

    
    
    

29. In what time will Rs. 1600 amount to Rs. 1768 at 6% per annum simple interest?

30. From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the following figure.) Find the area of the remaining sheet. (take π = 22/7)                                                                       

SECTION D – (3 × 5 = 15)

31. A ladder of length 25 m reaches a wall at 7 m height.
    If the base is moved 8 m away, find the new height reached.

---

32. Following data gives total marks (out of 600) obtained by six children of a particular class. 

    Represent the data on a bar graph.

    
    
    

---

33. In the following figures, find the area of the shaded portions: (i)

Math Modal question paper - ct 4 (class 4)

 Class IV – CT 4 Model Question Paper

 SECTION A – OBJECTIVE QUESTIONS

(10 × 1 = 10)

I. Fill in the blanks (4 × 1 = 4)

1. 0.6 is equal to ______ tenths.

2. 1 m = ______ cm.

3. 7:45 pm in 24-hour clock is written as ______.

4. A rectangle is 15 m long and 4 m wide.Its area is ______ sq m.

II. Choose the correct answer (3 × 1 = 3)

5. 3/5 of 25 is:
   a) 10
   b) 12
   c) 15
   d) 20

6. Which of the following is the smallest?
   a) 0.9
   b) 0.09
   c) 0.19
   d) 0.5

7. 2.5 kg is equal to:
   a) 2050 g
   b) 250 g
   c) 2500 g
   d) 25 g

III. True or False (3 × 1 = 3)

8. 1 litre = 100 ml. ______

9. 0.25 means 25 hundredths. _______

10. If a movie starts at 3:00 PM and ends at 5:00 PM, it lasted 3 hours. ______

SECTION B- Answer the following. Show the working:

(9 × 2 = 18)

1. Convert:
   4 ½ kg to g.

2. A square field has area 64 sq m. What is the length of one side?

1. The duration of a movie is 2 hrs 45 mins.
   If the movie starts at 5:35 pm, at what time will it end?

2. A farmer planted 150 trees. 2/3  are neem trees. How many are not neem trees?

1. The circle chart shows different games liked by students.
   The circle represents 80 students.

   
   
   
   
   

   (a) How many students like tennis?
   (b) How many more students like cricket than football?
   (c) Write one benefit of playing games.

2. Convert:
   a) 3 kg 250 g to grams
   b) 4750 ml to litres

3. If 1 kg apples cost ₹120, find the cost of:
   a) 500 g
   b) 3 kg

4. What will be the time 5 hrs 30 mins after 9:45 am?
   Write the answer in both 12- hour and 24- hour clock.

5. The following pictograph shows number of students attending hobby classes:

   Dance – 😀 😀 😀 😀 😀 😀
   Music – 😀 😀 😀 😀 😀 😀 😀
   Drawing – 😀 😀 😀 😀 😀 😀 😀 😀
   Craft – 😀 😀 😀 😀
   Yoga – 😀 😀 😀 😀 😀

   (Each 😀 represents 3 students)

   a) Which class has the most students?
   b) How many students attend dance class?
   c) How many more students attend drawing than craft?
   d) Which class has half the strength of drawing?

Answer the following:

(4 × 3 = 12)

10. A rectangle has length 18 cm and breadth 12 cm.A square has side 12 cm.Which shape has more area? How much more?

10. ½ kg onion costs ₹24 and 2 kg tomato costs ₹80.
    How much should you pay in all if you buy 1½ kg onion and 1 kg tomato?

11. Neha studied from 4:35 PM to 5:20 PM.She again studied from 6:00 PM to 6:45 PM. For how long did she study in total?

12. The bar graph shows the number of ice cream bars sold in a week:

a) Which flavour was sold the most?
b) How many more mango bars were sold than vanilla?
c) How many bars were sold in total?

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

Class 7

 

sample modal question paper - math -ct 4 (class 3)

  MODEL QUESTION PAPER - CT 4

STD III – MATHEMATICS

Cycle Test
Time: 1 hr 30 min
Maximum Marks: 80

PART A – OBJECTIVE (10 Marks)

I. Tick the correct option: (10 × 1 = 10)

1. How many tens are there in 2000?
   a) 20 b) 200 c) 2000

2. 3 kg 500 g =
   a) 350 g
   b) 3500 g
   c) 3050 g

3. 750 ml + 250 ml =
   a) 1 litre
   b) 100 ml
   c) 2 litres

4. 8 × 125 =
   a) 900
   b) 1000
   c) 875

5. The fraction equal to 1/2 is
   a) 2/4
   b) 3/4
   c) 1/4

6. 1 km =
   a) 100 m
   b) 1000 m
   c) 10 m

7. 6:45 is
   a) Half past 6
   b) Quarter past 6
   c) Quarter to 6

8. Rs 5.00 has how many 50 paise coins?
   a) 5
   b) 10
   c) 50

9. The shape with 4 equal sides is
   a) rectangle
   b) square
   c) triangle

10. 900 ÷ 9 =
    a) 10
    b) 90
    c) 100

PART B – MAIN PAPER

II. Look at the figure (Lines Concept) (4 × ½ = 2)

a) AB is a ______.
b) It extends in ______ directions.
c) It has ______ end points.
d) It is written as ______.

III. Fill in the blanks (8 × ½ = 4)

1. 6489 rounded to nearest 100 = ______

2. 1 decade  = ______ years

3. 8 thousands − 3 tens = ______

4. 1 hour = ______ minutes

5. 4 hours 15 minutes = ______ minutes

6. The predecessor of 10000 is ______

7. 6/12 in simplest form = ______

8. If today is Saturday, 3 days later it will be ______

IV. Solve:  (10 Marks)

a) 8456 − 3978
b) 526 × 8
c) 960 ÷ 6
d) 10 kg − 4 kg 950 g
e) 12 l − 6 l 875 ml

V. Conversion (Show Working) (8 Marks)

a) Convert 16 hours 20 minutes into minutes.

b) Change 18 km 450 m into metres.

c) Convert 7 kg 350 g into grams.

d) Express 125 m in cm.

VI. True or False (5 × 1 = 5)

1. 430 has 3 tens.

2. Dividing a number by itself gives 1.

3. 7/7 is equal to 1.

4. A rectangle has 4 right angles.

5. 500 g = half kg.

VII. Put the correct sign (4 × ½ = 2)

(>, <, =, +, −, ×, ÷)

1. 720 ___ 9 = 80

2. 7 kg ___ 6900 g

3. ₹400 ___ 40000 paise

4. 8999 ___ 9000

VIII. Write any 3 addition facts to get the sum 125 (3 × 1= 3)

a) ___ + ___ = 125
b) ___ + ___ = 125
c) ___ + ___ = 125

IX. Solve: (7 Marks)

a) Mary sang for 1 hour and 30 minutes. How many minutes did she sing?

b) She started at 5:00 p.m. When did the programme end?

c) Draw the clock and the hands of the clock for 9:15.

d)  Write two equivalent fractions for 3/5.

e) Find: 1/4 + 2/4

f) Define an angle with a diagram.

g) Draw a line segment PQ of length 6 cm.

X. Statement Sums (3 × 3 = 9)

1. A factory produced 3575 biscuits. 1450 biscuits were packed.
   How many biscuits are left unpacked?

2. A train travelled 235 km in the morning and 468 km in the evening.
   Find the total distance travelled.

3. A water tank holds 95 litres of water. 37 litres were used.
   How much water remains?

XI. Calendar Question (8 Marks)

Look at the calendar below:

MARCH 2026

SUN	MON	TUE	WED	THU	FRI	SAT
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30	31

a) How many Sundays are there?
b) On which day does the 17th fall?
c) How many Saturdays are there?
d) If school is closed on Saturdays and Sundays, how many working days are there?

XII. Money Billing & Word Problems (18 Marks)

1. Arun went to a toy shop and bought:

2 cars, 3 helicopters, 1 aeroplane, 3 teddy bears, 1 sunglass

a) Find the total amount he spent. (4)

b) He gave Rs 1000. How much money did he get back? (3)

2. Naveen delivers 145 newspapers every day. How many newspapers does he deliver in 30 days? (3)

3. A train travelled 210 km 70 m by bus and 95 km 80 m by train. Find the total distance travelled. (4)

4. A milkman had 25 litres of milk. He sold 12 l 750 ml. How much milk is left? (4)

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

Sample- ukg-math

 

Answer key - pt 3 class 7 math

 

modal question paper - class 7- pt3

---

MODAL QUESTION PAPER - PT 3

SECTION A – OBJECTIVE TYPE

1. Multiple Choice Questions (4 × 1 = 4)

1. A number is multiplied by 2³ and then divided by 2⁵. The final result is the original number multiplied by
   a) 2²
   b) 2⁻²
   c) 2⁸
   d) 2⁻⁸

2. The sides of a right-angled triangle are consecutive integers. The perimeter of the triangle is 24 cm.
   The length of the hypotenuse is
   a) 9 cm
   b) 10 cm
   c) 11 cm
   d) 13 cm

3. A square and a rectangle have equal areas. The rectangle has length 12 cm and breadth 3 cm.
   The perimeter of the square is
   a) 24 cm
   b) 36 cm
   c) 48 cm
   d) 30 cm

4. If
   
   (3²) ̽ = 3¹⁰   then the value of (x) is
   a) 2
   b) 4
   c) 5
   d) 10

2. Fill in the Blanks (2 × 1 = 2)

5. If a right-angled triangle has sides 6 cm and 8 cm, then the length of the hypotenuse is ________ cm.

6. The value of  2⁵ × 5⁵ / 10³  is __________.

3. True or False (2 × 1 = 2)

7. If the area of a square is numerically equal to the perimeter of a rectangle, then the dimensions of the rectangle are uniquely determined.
   (True / False)

8. If (a ͫ  ÷  a ⁿ = a ͫ  ⁻ ⁿ ) then the rule is valid for all integers (m) and (n), where (a is not equal to 0 ).
   (True / False)

4. Assertion – Reason (2 × 1 = 2)

9. Assertion (A): A triangle with sides 5 cm, 12 cm and 13 cm is right-angled.
   Reason (R): (13² = 5² + 12² )

a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true

10. Assertion (A): The perimeter of a square increases four times when its side is doubled.
    Reason (R): Perimeter of a square is directly proportional to its side.

a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true

SECTION B – SHORT ANSWER

11. The perimeter of a rectangle is 72 cm. If its length is double its breadth, find the area of the rectangle.

12. A square and a rectangle have equal perimeters. The rectangle has dimensions 18 cm × 12 cm.
    Find the area of the square.

13. Simplify:  

    
    
    

14. The diagonal of a square is 14√2 cm. Find the area of the square.

15. In a right-angled triangle, the hypotenuse is 26 cm and one side is 10 cm. Find the length of the other side.

16. a) Which is greater, 3 ¹² or 6 ⁶?

     b) If 4^x =128, then find the value of x.
17. A ladder 13 m long reaches the top of a wall. The foot of the ladder is 5 m away from the wall. Find the height of the wall. 

---

SECTION C – LONG ANSWER

18. A rectangular playground is 28 m long and 21 m wide.
    A path of uniform width runs along the boundary of the playground.
    If the area of the path is 420 m², find the width of the path.

19. The length and breadth of a rectangle are in the ratio 5 : 3.
    If its perimeter is 64 cm, find
    a) its dimensions
    b) its area

20. A triangle has sides 9 cm, 40 cm and 41 cm.
    a) Verify whether the triangle is right-angled.
    b) Identify the hypotenuse.

21. Find n if 

    
    
    

22. Construct a triangle ABC such that
    AB = 6 cm, AC = 5 cm and ∠A = 90°.
    Name the congruence rule used and justify it.

Answers for modal paper class 7 (pt2)

Answers:

---

SECTION A – OBJECTIVE TYPE (15 × 1 = 15 Marks)

1. Equation whose solution is x = –4

Check each option by substituting x = –4.

a) 3x + 2 = 10 → –12 + 2 = –10 ≠ 10 
b) 5 + x = 9 → 5 + (–4) = 1
c) 2x – 3 = –11 → –8 – 3 = –11 
d) x + 7 = 4 → –4 + 7 = 3 ≠ 4 

Correct answer: (c) 2x – 3 = –11

---

2. If 7x – 4 = 3x + 20

7x – 3x = 20 + 4
4x = 24
x = 6

Answer: (c) 6

---

3. Total = 9

Answer: (d) 9

---

4. A net of a cube can never contain

A cube net cannot have 6 squares in a straight row.

Answer: (b) 6 squares

---

5. Price increased by 20% and then discounted by 20%

Let original price = ₹100
After 20% increase → ₹120
After 20% discount → 20% of 120 = 24
Final price = 120 – 24 = ₹96

Final price is less than original

Answer: (c) less than original

---

6. 4½% of 12 m

4½% = 4.5 / 100 = 0.045

0.045 × 12 = 0.54 m = 54 cm

Answer: (a) 54 cm

---

7. Median of data: 14, 18, 12, 11, 25, 19, 15

Arrange in ascending order:
11, 12, 14, 15, 18, 19, 25

Median = middle value = 15

Answer: (a) 15

---

8. Solid with exactly 5 vertices and 5 faces

• Square pyramid → 5 faces, 5 vertices

Answer: (c) square pyramid

---

9. If 3(2x – 1) = 4(x + 2)

6x – 3 = 4x + 8
6x – 4x = 8 + 3
2x = 11
x = 5.5

Answer: (c) 5.5

---

10. Simplest form of ratio 0.25 : 1.5

Multiply both by 4 → 1 : 6

Answer: (a) 1 : 6

---

11. A pie chart represents data using

Pie charts use angles

Answer: (c) angles

---

12. 45% of students are girls, number of girls = 18

45% = 18
Total students = 18 × 100 / 45 = 40

Answer: (a) 40

---

13. A net of a triangular pyramid must contain

A triangular pyramid has 4 triangular faces

Answer: (a) 4 triangles

---

14. Mode of the set

Data: {5, 6, 5, 7, 5, 6, 8, 7, 5, 8, 5, 6, 7, 5, 8, 5, 6, 5, 8}

Most frequent number = 5

Answer: (c) 5

---

15. Mean of 6 numbers is 20

Sum = Mean × Number
= 20 × 6 = 120

Answer: (d) 120

---

SECTION B – SHORT ANSWER (2 × 5 = 10 Marks)

16. Solve

---

17. 

---

---

✅ SECTION C – LONG ANSWER (3 × 5 = 15 Marks)

22. Solve the equations

(a) 7(x – 3) – 4 = 3x + 12
7x – 21 – 4 = 3x + 12
7x – 25 = 3x + 12
4x = 37
x = 9.25

(b) 5(2x + 1) – 3(3x – 2) = 4
10x + 5 – 9x + 6 = 4
x + 11 = 4
x = –7

---

25. Double bar graph

1. Draw bars for Sunita and Vandhana for each subject

2. Sunita scored higher overall

---

---

Modal question paper for class 7(pt2)

---

CLASS 7 – MATHEMATICS

Revision Question Paper (Total: 40 Marks)

---

SECTION A – OBJECTIVE TYPE (15 × 1 = 15 Marks)

1. The equation whose solution is x = −4 is:
a) 3x + 2 = 10
b) 5 + x = 9
c) 2x − 3 = −11
d) x + 7 = 4

2. If 7x − 4 = 3x + 20, then x equals:
a) 4
b) 5
c) 6
d) 3

3. Number of cubes in the following figure(iii):

a) 6
b) 7
c) 8
d) 9

4. A net of a cube can never contain:
a) 3 squares in a row
b) 6 squares
c) 5 squares in a row
d) A ‘T’ shaped arrangement

5. A shopkeeper increases the price of an item by 20% and then gives a discount of 20%. The final price will be:
a) equal to original price
b) more than original
c) less than original
d) cannot be determined

6. 4(1/2)% of 12m is
a) 54cm
b) 50cm
c) 52cm
d) 56cm

7. The median of the data 14, 18, 12, 11, 25, 19, 15 is:
a) 15
b) 18
c) 19
d) 14

8. Which solid has exactly 5 vertices and 5 faces
a) tetrahedron
b) regular octahedron
c) square pyramid
d) Hexagonal prism

9. If 3(2x – 1) = 4(x + 2), then x =
a) 3.5
b) 4.5
c) 5.5
d) 6.5

10. The simplest form of the ratio 0.25 : 1.5 is:
a) 1 : 6
b) 1 : 4
c) 1 : 8
d) 1 : 3

11. A pie chart represents data using:
a) bar lengths
b) line segments
c) angles
d) dots

12. In a class, 45% of the students are girls, if there are 18 girls in a class,then the number of students in the class is.
a) 40
b) 36
c) 30
d) 44

13. A net of a triangular pyramid must contain:
a) 4 triangles
b) 1 square + 3 triangles
c) 2 triangles + 2 squares
d) 4 squares

14. The mode of the set {5, 6, 5, 7, 5, 6, 8, 7, 5, 8, 5, 6, 7, 5, 8, 5, 6, 5, 8} is:
a) 6
b) 7
c) 5
d) none

15. If the mean of 6 numbers is 20, then the sum of the numbers is:
a) 40
b) 60
c) 100
d) 120

---

SECTION B – SHORT ANSWER (2 × 5 = 10 Marks)

16. Solve :

             

17. 

18. A cycle’s price was increased by 15% and became ₹5,750.
Find its original price.

19. Sunil obtained 750 marks out of 800 and Ravi obtained 540 marks out of 

600.Whose performance is better ?

20. Complete the following table:

21. 

---

SECTION C – LONG ANSWER (3 × 5 = 15 Marks)

22. Solve both equations:
a) 7(x - 3) - 4 = 3x + 12 
b) 5(2x + 1) - 3(3x - 2) = 4 

---

23. i)A fair six-sided die numbered 1 to 6 is rolled once.What is the probability of getting:
a) an even number
b) a multiple of 3
c) a number 3 or 4

ii)A box of 600 electric bulbs contain 12 defective bulbs.One bulb is taken out at random from the box.What is the probability that it is a non defective bulb?

---

24. Arun bought a car for Rs 3,50,000 . Next year , the price went upto

Rs 3,70,000.What was the percentage increase in the price ?

---

25. 

---

26. 
A mixture contains milk and water in the ratio 7 : 3.
If 5 litres of water is added, the new ratio becomes 7 : 4.
Find the initial quantity of the mixture.

---