CBSE Sample Paper for Class 7 Maths with Solutions – Download PDF

CBSE Sample Paper for Class 7 Maths with Solutions

 

                    Sample Question Paper 2022-23

MATHS                                                             Class VII

Time: 2 hours 30 mins                                Total marks: 80

_______________________________________________

General Instructions:

1. The question paper contains 40 questions divided into four sections A, B, C and D.
2. All questions are compulsory.
3. Section A comprises question numbers 1 to 20. These are 1 marker questions.
4. Section B comprises question numbers 21 to 26. These are 2 marker questions.
5. Section C comprises question numbers 27-34. These are 3 marker questions.
6. Section D comprises question numbers 35-40. These are 5 marker questions.

 

_______________________________________________

Section A (1×20)

1. Arun scored 30 runs, 80 runs and 130 runs in 3 matches. What were the average runs of 3 innings?

 

2. Find the ratio of 3 km to 300 km.

 

3. Find the value of x.

 

4. What is an angle?

 

5. Draw an obtuse-angled triangle.

 

6. X scored 26 goals this season. Last season he scored 20 goals. What is the percentage increase?

 

7. What is the value of 1000 x 0.1?

 

8. Express 200 min as hours in decimal.

 

9. Evaluate -100 [(-10) x (9)]

 

10. Find X. 8x +32=100.

 

11. Solve  -7 / -42.

 

12. Find the value of 2.2 x 1.2.

 

13. The mean of the first 6 natural numbers is _____.

 

14. Convert the statement “one-sixth of p plus ten” into an equation.

 

15. Complementary angle of 90 is _____.

 

16. The supplementary angle of 90 is _____.

 

17. The number of marks scored by a student in exams this year is 200. Last year it was 180. What is the percentage increase?

 

18. If x= 10 , then 2x = _____

 

19. What is the AAS congruence rule?

 

20. In a right-angled triangle, the hypotenuse is 13 cm, the base is 5 cm. What is the third side?

 

 

SECTION B (2×6)

 

21. Raghav bought a toy worth Rs 92. He bought the toy for 10% of his total amount. What is the total amount?

 

22. Evaluate the following

 

1. [12 / -3] + [ 90+(-100)]
2. -[12x(-3)] + [21-(21)]

 

23. Find the values of the variable

 

24. If ΔPQR ΔBCA, write the part(s) of ΔBCA that correspond to:

 

(i)  Q (ii) QR (iii)  R (iv) PR

 

25. One side of the square is equal to 20 cm. Find the area and the perimeter of the square.

 

26. The breadth of the rectangle ABCD is 2.3 cm. The length of the rectangle is 1.6 cm. Find the area of the rectangle.

 

 

SECTION C (3×8)

 

 

27. Product of Y and 10, when added to 100, is 200. What is the value of Y? When Y is added to X, the solution is Z. Z is equal to 500. What is the value of X?

 

28. Find the values of the variables:

 

29. In a class, out of 100 Marks students scored 84, 87, 78, 98. What is the range?

 

1. Mean marks obtained by the group.
2. What is the median?

 

30. Ram submitted a principal amount of Rs. 900 at 10% interest for 2 years to a bank. What amount will he get after 2 years?

 

31. If X runs 10 km in 10 hours. How many km will he run in 2.5 hours?

 

32. In the below figure, XY and PQ bisect each other at O. Prove that

 

1. △ XOP ≅ △ YOQ
2. XP=YQ

33. Find the values of x and y.

 

1. 
2. 

 

 

34. The foot of a ladder is 20 m away from a wall and its length is 25 m. If its top reaches a ceiling X m above the ground. Find the value of X.

 

 

 

SECTION D (5X6)

35. The bar graph below represents the number of players who attended ABC football academy for a year. Using the bar graph, answer the questions that follow:

1. How many players attended the academy during October?
2. How many players attended the academy during the whole year?
3. How many more players attended the academy in July than June?
4. Which month had the most number of players attending the academy?
5. How many players attended the academy during March, April, July and December combined?

 

36. Anu took a certain sum of money in the bank under the following repayment scheme based on simple interest: 12% per annum for the initial 2 years. 5% per annum for the next 5 years 10% per annum for the next 1 year. Find the interest which Anu has to pay for a  sum of 10000 taken for 8 years.

 

37. The length of a rectangle is two times the width. The perimeter of the rectangle is 600 m. Find the dimensions of the rectangle and also its area.

 

38. In a class 10th examination, a total of 1000 students secured the first division in the years 2020 and 2021. The number of first divisions in 2021 exceeded those in 2020 by 40. How many students got the first division in 2020?

 

39. Kavya and Sita started a race from A to Z. It took place in 4 phases. Kavya won by 1 minute in the first phase. Sita won by 4 minutes in the second phase. Sita won by 2 minutes in the third phase. Kavya won by 1 minute in the fourth phase. Who lost the race in the end and by how many minutes?

 

40. In the below figure, PQ and XE are altitudes of ΔAPX such that PQ = XE.

 

(i) Prove ΔXPQ =  ΔPXE.

(ii) Prove QXP =  EPX.

 

CBSE Sample Paper for Class 7 Maths with Solutions – Free Download PDF

– Solutions of CBSE Sample Paper for Class 7 Maths – 

 

Answers

1. 80 runs

 

2. 1:100

 

3. 30

 

4. Space between two intersecting lines or surfaces is called an angle.

 

6. 30% increase.

 

7. 100

 

8. 33 hours.

 

9. 9000

 

10. 5

 

11. ⅙

 

12. 64

 

13. 5

 

14. ⅙ p +10

 

15. 0

 

16. 90

 

17. 11 % increase.

 

18. 20

 

19. Angle-angle-side is abbreviated as AAS. When two angles and one non-included side of a triangle match the corresponding angles and sides of another triangle, the triangles are said to be congruent.

 

20. 12

 

21. 920

 

22. 1. -14
    2. 36

 

23. X = 60 and Y = 90

 

24. C II. CA III. BA

 

25. Area = 400 sq cm & Perimeter = 80 cm

 

26. 8 cm.

 

27. y=10 and x = 490

 

28. a= 60 x= 60 y= 60 z= 60

 

29. Range = 20
    86. 75
    87. 5

 

30. 1080

 

31. 5 km

 

32. To prove. Hint: Use the SAS congruence rule.

 

33. 1. x= 60 and y= 60
    2. x= 75 and y= 60

 

34. 15 m

 

35. 1. 15
    2. 570
    3. 55
    4. July
    5. 280

 

36. ₹ 2700

 

37. Length = 200 m Breadth = 100m Area= 20000 sq m.

 

38. 2020 = 700 students and 2021= 1000 students

 

39. Kavya lost the race with 4 minutes.

 

40. To prove. Hint: Use the RHS congruence rule.

 

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