Sample paper maths

Sample Paper
Class 7 Maths
Sample Paper 4 | Class 7 Mathematics

Class 6 Mathematics

Sample Paper - 4

Section – A (1 Mark each)

Multiple Choice Questions:

Question 1:

If x = (-1) x (-1) x (-1) X (-1) …….25 times, y = (-3) X (- 3) X (-3), then xy =

(a) -27 (b) 27 (c) 26 (d) -26

Question 2:

Which of the following is a vulgar fraction?

(a) (b) (c) 3 (d)

Question 3:

1.1 × .1 × .01 = ?

(a) .11 (b) .011 (c) .0011 (d) none of these

Question 4:

If = , then the value of x is

(a) -14 (b) 14 (c) 21 (d) -21

Question 5:

The value of (-27) × (-16) + (-27) × (-14) is

(a) -1110

(b) -810

(d) 1110

Question 6:

(6^-1 – 8^-1)^-1 =?

(a) - (b) -2 (c) (d) 24

Question 7:

of a number is less than the original number by 10. The original number is

(a) 30 (b) 36 (c) 45 (d) 60

Question 8:

A school team won 6 games this year against 4 games won last year. What is the percent increase?

(a) 75% (b) 50% (c) 60% (d) none of these

Question 9:

A scalene triangle has

(a) no line of symmetry

(b) one line of symmetry

(d) three lines of symmetry

Question 10:

If the ratio of the areas of two squares is 9 : 1, then ratio of their perimeter is

(a) 2:1 (b) 3 : 1 (c) 3 : 2 (d) 4 :1

Section – B (2 marks each)

Question 11:

The heights of 7 players in a group are 175cm,158 cm, 180 cm,164 cm, 182 cm, 160 cm and 171 cm. Find their mean heights.

Question 12:

Find the angle which is equal to its supplement.

Question 13:

(a) Express 8 rupee 8 paise as rupees using decimals.

(b) Find the value of 0.6 ÷ 1000

Question 14:

Find the value of the unknown exterior angle x in the below diagrams.

Question 15:

The acute angles of right triangle are in the ratio 2 : 1. Find the measure of each of these angles.

Question 16:

Find the ratio of 50 paise to ₹ 5.

Question 17:

Find the values of the angles a, b, c and d in the given figure lines l || m, p || q:

Question 18:

72% of 25 students are good in hindi, how many are not good in hindi?

Question 19:

A bowler took 15 wickets for 321 runs. What is his average score per wicket?

Question 20:

Solve: 0.3 x + 0.4 = 0.28 x + 1.16

Section – C (4 marks each)

Question 21:

A shopkeeper gains ₹ 1 on each pen and loses 40 paise on each pencil. He sells 45 pens and some pencils losing ₹ 5 in all. How many pencils does he sell?

Question 22:

Rohit ate part of an apple and his sister Ritu ate the remaining part of it. Who ate more and by how much?

Question 23:

Each side of a polygon is 2.9 cm in length and its perimeter is 17.4 cm. How many sides does the polygon have?

Question 24:

By what number should (-15)^-1 be divided so that the quotient is (-5)^-1?

Question 25:

The ages in years of 10 teachers of a school are:

32, 41, 28, 54, 35, 26, 23, 33, 38, 40

(i) What is the age of the oldest teacher and that of the youngest teacher?

(ii) What is the range of the ages of the teachers?

(iii) What is the mean age of these teachers?

Section – D (5 marks each)

Question 26:

The circumference of a circle exceeds its diameter by 18 cm. Find the radius of the circle.

Question 27:

A coin is tossed 100 times and head is obtained 59 times. On tossing a coin at random, find the probability of getting

(i) a head (ii) a tail

Question 28:

An electrician sells a room heater for ₹ 3220, gaining of its cost price. Find his gain per cent.

Question 29:

50 kg of an alloy of lead and tin contains 60% of lead. How much lead must be melted into it to make the alloy contain 75% of lead?

Question 30:

The cost of fencing a square field at ₹ 16 per metre is ₹ 32000. Find the cost of reaping the field at ₹ 35 per 100 m².

Question 31:

Find the values of the unknowns x and y in the following diagrams:

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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.

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

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