CBSE Class 7 Mathematics Sample Paper Set 5

CBSE Class 7 Mathematics Sample Paper

SECTION - A

Q1 (– 25) × 30 = – 30 × _______.

Q2 If 3/4 of a number is 12, the number is ________ 

Q3 The mode of the data 23, 26, 22, 29, 23, 29, 26, 29, 22, 23 is

Q4 Write an equation for " 9 added to twice a number gives 13".

Q5 Median bisects the base of a triangle. (true / false)

Q6 What is the additive inverse of -18?

Q7 What is the value of 2/5 + 3/7 ? 

Q8 The mean of the first five prime numbers is __________.

Q9 Find the solution for the equation: x + 3 =1

Q10 In a right angle triangle, the altitude is the same as one of the sides of the triangle. (True / False)

Q11 [(– 10) × (+ 9)] + ( – 10) is equal to _________
a) 10 b) -100 c) 100 d) -10

Q12 Which of the following is the reciprocal of . 2/17
a) − (2/17) b) - (17/2) c) 17/2 d) 1

Q13 What is the probability of getting an even number when a die is thrown.
a) 1/2 b) 3/5 c) 1/6 d) 1/3

Q14 The equation having 5 as a solution is:
a) 4x + 1 = 2 b) 3 – x = 8 c) x – 5 = 3 d) 3 + x = 8

Q15 The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its __________.
a) Altitude b) Median c) Mode d) Diagonal

Q16 The range of the data 14, 6, 12, 17, 21, 10, 4, 3 is_______
a) 21 b)17 c)18 d)11

Question No. - 17 and 18 consists of two statements- Assertion (A) and
Reason(R). Answer the questions by selecting appropriate options.

Q17 Assertion(A) - The sum of two negative integer is always a negative integer
Reason(R) - Integers are closed under addition
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true and R is not the correct explanation of A
c) A is true but R is false
d) A is False but R is true

Q18 Assertion(A) -The middle term of a set of data in ascending order is called median of the data
Reason(R) - The average of a set of data is called the mean of the data.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true and R is not the correct explanation of A
c) A is true but R is false
d) A is False but R is true

Q19 8 rupees 8 paise can be written as
i) 8.08
ii) 8.8
iii) 8 + 8/10
iv) 8 + 8/100
a) (i) only
b) Both (i) and (ii)
c) Both (i) and (iv)
d) (iv) only

Q20 Which of the following statements are true?
i) The equations are formed by performing operations like addition, subtraction, multiplication and division on the variables and constants.
ii) The value of the variable for which the equation is satisfied is called the solution or root of the equation.
iii) An equation remains the same if the LHS and the RHS are interchanged.
iv) An equation need not to be balanced on both sides
a) Both (i) and (ii)
b) Both (ii) and (iii)
c) (i) only
d) (i), (iii) and (iv)

SECTION - B

Q21 Evaluate using suitable property: (– 85) × 43 + 43 × ( – 15)

Q22 The lowest form of the product of 2(3/7) x 5/4

Q23 Find the median of the data : 21, 15, 6, 25, 18, 13, 20, 9, 8, 12
                                            (OR)
Find the mean of all the numbers between 30 and 40.

Q24 9 added to twice a number gives 13. Write the algebraic equation and also find the number.
                                      (OR)
Find the value of x in the given equation: 4x + 7 = x + 2

Q25 Draw a rough sketch of the right angle triangle and mark the median and altitude of the triangle. Also name the altitude and median.

SECTION - C

Q26 Simplify: [(-30) × (− 19)] − [(− 90) × (17)]

Q27 Find the product of the mean of 4.2, 3.8 and 4.7 with 60

Q28 Study the double bar graph given below and answer the questions that follow:

(a) What information does the above double graph depict?
(b) Name the fruits for which the cost of 1 kg is greater in City I as compared to City II.
(c) What is the difference of rates for apples in both the cities?

Q29

i) Find the value of ∠PQR
ii) Also find ∠PRQ. Also mention the property of triangle used.

Q30 Sum of two numbers is 81. One is twice the other. Write the equation and find the numbers.
                                                            (OR)
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is Rs 70, then find the numbers of 5 rupee and 2 rupee coins.

Q31 Ridhika draws a triangle with 40° as the vertex angle. She asks Rubina to find the other two angles if the value of the base angles are the same.What would be the value of each base angle?
                             (OR)
Find the value of x in the given figure:

SECTION - D

Q32 Horizon Glacier is a cold place. The average temperature of the place is less than zero.The maximum and minimum temperature (in °C) recorded for seven days in a week are given below:

i) What was the lowest temperature recorded in the week?
ii) What is the difference between the maximum and minimum temperature on Friday?
iii)The average maximum temperature of Horizon Glacier for the week was –13.5°C. On which days was the maximum temperature greater than the average maximum temperature?
                (OR)
Water level in a well was 20m below ground level. During the rainy season, rain water collected in different water tanks is drained into the well and the water level rises 5 m above the previous level. The wall of the well is 2m high and a pulley is fixed at a height of 1m.
i) Raghu wants to draw water from the well. What is the minimum length of the rope that he can use ?
ii) If ground level is considered to be 0. How can we represent the water level and the height of the pulley ? Also find their sum.

Q33 Reemu read th pages of a book. If she reads further 40 pages, she would 1/5 have read th pages of the book. 7/10
i) If she read th pages, what part of the book she read more( write in 7/10 fraction)?
ii) What fraction of the book is left to be read?
iii) If Anju read ⅔ part of a 100 page book, write the number of pages read by her in decimals.

Q34 200 students of class 6th and 7th were asked to name their favorite color so as to decide what should be the color of the school building. The results are shown in following table:
Favorite color    red     green    white  yellow  blue
No. of students   43       19         55      49      34
i) What is the most preferred and least preferred color?
ii) What is the difference between the most preferred and least preferred color?
iii) Represent the data on graph paper.

Q35 Chetan participated in the tournament. He won two more matches than the number of matches he lost.
i) If he won 12 matches. How many matches did he lose?
ii) Write the equation for the above situation.
iii) If 20 points are deducted for a match he lost and 80 points are gained for a match he wins. What is Chetan's score?
                                                              (OR)
If Anu’s mother is 10 less than thrice her age and also she is 15 years older than twice her age. Then how old is Anu?

SECTION - E

Q36 The table given below shows the elevations relative to sea level of four locations. Taking sea level as zero, answer the following questions:
Location        Elevation (in m)
A                        -1800
B                         16000
C                         -55
D                        3200
i) Which location is closest to sea level?
a) A b) B c) D d) C
ii) Which location is farthest from sea level?
a) A b) B c) D d) C
iii) Arrange the locations from the least to the greatest elevation.

Q37 Renu completed 2/3 part of her home work in 2 hours.

i) How much part of her homework had she completed in 1 hour ?
a) 1/4 b) 1/2 c) 1/3 d) 3/2 

ii) How much part of her homework had she completed in hours?
a) 1/4 b) 3/4 c) 1/12 d) 4/3

iii) How much part of her homework had she completed in 30 minutes?

Q38 If one side of a square is represented as 20 subtracted from 18 times Y and the adjacent side is represented as 14 times Y subtracted from 12
i) Frame the equation (20 subtracted from 18 times Y)
a) 20 -18Y b) 18Y/20 c) 20Y/18 d)18Y -20
ii) Frame the equation (14 times Y subtracted from 12)
a) 12 -14Y b) 12Y/14 c) 14Y/12 d)14Y -12
iii) Find the value of Y.