Sample paper maths

Sample Paper
Class 7 Maths
Sample Paper 3 | Class 6 Mathematics

Class – 6 Mathematics

Sample Paper – 3

Section – A ( 1 Mark each)

Multiple Choice Questions:

Question 1:

(-1) x (-1) x (-1) X (-1) x……………… 500 times =

(a) -1 (b) 1 (c) 500 (d) -500

Question 2:

Complement of 80⁰ is

(a) 100⁰ (b) 180⁰ (c) zero (d) 10⁰

Question 3:

The range of the observations 32, 41, 28, 54, 35 26,23, 33,38, 40.

(a) 30 (b) 31 (c) 32 (d) 39

Question 4:

in standard form is

(a) (b) (c) (d) none of these

Question 5:

There are 5 red, 10 black and 20 blue balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a red ball.

(a) (b) (c) (d)

Question 6:

The zero of 3x + 2 is

(a) (b) (c) - (d)

Question 7:

∆ ABC is right angled at B. AB = 3 cm and BC = 4 cm, then of AC will be

(a) 25 cm (b) 7 cm (c) 5 cm (d) 6cm

Question 8:

The number of faces of a triangular pyramid or tetrahedron is

(a) 5 (b) 6 (c) 4 (d) 10

Question 9:

Find the perimeter of rectangle whose length is 15 m and breadth is 16 m.

(a) 65 m (b) 71 m (c) 61 m (d) 75 m

Question 10:

The sum of the exterior angles of a quadrilateral is equal to

(a) 180⁰ (b) 360⁰ (c) 90⁰ (d) 45⁰

Section – B (2 marks each)

Question 11:

The sum of two integers is -11. If one of them is 9. Find the other.

Question 12:

Convert each of the following into an improper fraction.

1 (b) 4

Question 13:

Convert 2 into decimal.

Question 14:

Which of the two rational numbers is greater in each of the following pairs?

(i) or 0 (ii) or 0

Question 15:

Express each of the following numbers in standard form:

(i) 270659

(ii) 427500000

Question 16:

Multiply:

(i) 5ab²c³ by 7a²bc

(ii) -6x²yz by x y³z²

Question 17:

Solve: 3x + = 2 -x.

Question 18:

An alloy contains 32% copper, 40% Zinc and the rest nickel. Find in grams the quantity of each of the contents in 1 kg alloy.

Question 19:

In the adjoining figure, what value of x will make AOB a straight line?

Question 20:

The length and breadth of a rectangular field are 120 m and 75 m

respectively. Find the area of the field and the cost of turfing it at ₹ 40 per m.

Section – C (4 marks each)

Question 21:

Construct 2 equations starting with x = -2.

Question 22:

In the given figure, find the value of x and y.

Question 23:

If 15% of the workers in a factory are females and the number of mail workers is 272. Find the total numbers of workers in the factory.

Question 24:

The ages of A and B are in the ratio 5:7. Eight years ago, their ages were in the ratio 7: 13. Find their present ages.

Question 25:

Simplify: {( )²}^-3

Section – D (5 marks each)

Question 26:

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data.

Question 27:

A number has two digits whose sum is 9. If 27 is added to the number, its digits get interchanged. Find the number.

Question 28:

Multiply (3x² + y²) by (2x² + 3y²)

Question 29:

List five rational numbers between -2 and -1.

Question 30:

The length and breadth of a rectangular field are in the ratio 3: 2. If the area of the field is 3456 m². Find the cost of fencing it at ₹ 60 per m.

Question 31:

The following table shows the favourite sports of 250 students of school. Represent the data by a bar graph.

Sports	Cricket	Football	Tennis	Badminton	swimming
No. of students	75	35	50	25	65

**********

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Exam Familiarity: Class 7 sample papers provide a glimpse into the actual Class 7 exam format, Class 7 question types, and time constraints. Familiarity with the Class 7 exam pattern reduces anxiety and boosts confidence on the exam day.

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Revision: Solving Class 7 sample papers serve as a comprehensive revision exercise, consolidating your knowledge across different topics.

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To effectively solve a Class 7 sample paper before the exam, it is recommended to follow these steps:

Post-Syllabus Completion: Once you finish the syllabus, start solving sample papers. Aim to attempt at least one sample paper per week.

Simulate Exam Conditions: Create an exam-like environment while solving the sample paper. Choose a quiet space, set a timer, and adhere to the exam duration to replicate the actual test conditions.

Attempt the Paper: Begin solving the sample paper just as you would in the actual exam. Read each question carefully and respond to the best of your ability.

Check Answers and Identify Mistakes: After completing the sample paper, check your answers diligently. Identify the questions you answered incorrectly or struggled with.

Reflect on Errors: Analyze the mistakes you made and try to understand why you went wrong. Identify the underlying reasons, whether it was a lack of understanding, misinterpretation, or oversight.

Revise Weak Topics: Focus on the topics or concepts where you felt less confident. Revise those areas thoroughly to strengthen your understanding.

By adhering to this approach, you can make the most of sample papers in your exam preparation. Regular practice in an exam-like setting helps you build confidence, improve time management, and fine-tune your problem-solving skills. Moreover, identifying and addressing your mistakes empowers you to rectify your weaknesses and perform better in the actual exam.

Last but not least, before solving sample papers, please visit:

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