Class 7 PT II Question Paper 2024-25 Maths

PERIODIC TEST
QUESTION
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PT1 - PT2

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Preiodic Test-II (2024-25)
Class- 7th Subject- Mathematics
Time allowed- 1½ hours Max. Marks- 40
General Instructions:-
1. All questions are compulsory.
2. The question paper consists of 19 questions divided into four groups A, B, C and D.
SECTION NO. OF MARKS OF EACH TOTAL MARKS
QUESTIONS QUESTION
A (MCQ) 12 1 12
B (VSA) 4 2 8
C (SA) 3 4 12
D (CCT/Case Study 2 4 8
Based)
TOTAL MARKS 40

Section – A
1.​ Consider a circle shown.
Which of these shows the diameter of the circle?

(a) 2 × 8​ ​ ( b) ½ × 8 ​ ​ (c) 8 + 2 ​ ​ (d) 8 – 2
2.​ Expression for “5 less than 5 times an unknown number ‘z’” is _________.
(a) z – 5 ​ ​ (b) 5z – 5​ ​ (c) 5(z – 5) ​ ​ (d) 5 – 5z
3.​ The prime factors of 12800 can be expressed as _.
(a)​ 27 × 52​ ​ (b) 29× 52​ ​ (c) 27 × 3 × 52 ​ (d) 210 × 52

4.​ Which of the following is equal to 5c? (AO1)
(a) 5 + c ​ ​ (b) c + c + c + c + c​ (c) c x c x c x c x c​ (d) 3c + 2c
5.​ Area of the circle of radius r is:
(a) π r2 ​​ ​ (b) 2 π r ​ ​ (c) π r ​ ​ ​ (d) ½ π r2

6.​ Observe the figure below:

What is the perimeter of the given figure?
(a)​ 11 units​ ​ (b) 22 units​ ​ (c) 30 units ​ ​ (d) 60 units

7.​ Which of the following options represents the terms of the expression 4𝑚𝑛 + 5𝑚 − 3𝑛 − 2?
(a)​ −2​ ​ (b) 5𝑚, −3𝑛 and −2​ (c) 4𝑚𝑛, 5𝑚 and −3𝑛​ (d) 4𝑚𝑛, 5𝑚, −3𝑛 and −2

8.​ The units of area 1m2 can be converted:
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(a) 100cm​ (b) 100 cm2 ​ ​ (c) 1000cm2 ​ ​ ​ (d) 10000cm2
9.​ What is the coefficient of x in the expression 2 – x + y?
(a) 2 ​ ​ (b) 1​ ​ ​ (c) -1​ ​ ​ ​ (d) None of these
0
10.​729 is equal to:
(a) 93 ​ ​ (b) 39​ ​ ​ (c) 1​ ​ ​ ​ (d) 0
3
11.​(42) is equal to:
(a) 212​ ​ (b) 47​ ​ ​ (c) 28​ ​ ​ ​ (d) 29
12.​Which of the following is a not a pair of like terms?
3 3
(a)​ 12, 78​ ​ (b) 2 z, 2 z2​ ​ (c) −8𝑥𝑦2, 6𝑦2𝑥​ ​ (d) 2𝑚2𝑛2, 7𝑛2𝑚2

Section – B
13.​ Write an expression for “12 is subtracted from sum of y and -4.
14.​ What is the circumference of a circular disc of radius 14 cm?
15.​ What should be the value of a if the value of 2x2 + x – a equals to 5, when x = 0?
16.​Which is greater 32 or 23?
Section – C

17.​ The two sides of the parallelogram ABCD are 6 cm and 4 cm.
The height corresponding to the base CD is 3 cm (See Figure).
Find the
(i)​ area of the parallelogram.
(ii)​ the height corresponding to the base AD.
OR
∆ABC is right angled at A (See Fig.). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and

AC = 12 cm, Find the area of ∆ABC. Also find the length of AD.

18.​ 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 1cm are removed. (as shown in the
adjoining figure).
22
Find the area of the remaining sheet. (Take π = 7 )

19.​ (a) Simplify the expression and find its value when a = 5 and b = – 3.
2(a2 + ab) + 3 – ab
​​ (b) Simplify the expression and find the value if x is equal to 2

x + 7 + 4 (x – 5)

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Section – D
20.​ To access the learning outcomes of students, mathematics teacher conducted a Maths test
in class VII. Teacher made some statements and asked the students to express the statement
algebraically.Theme:​

Express the following as algebraic expressions: -
(a) One fifth of the product of thrice of x and twice of y.​ ​ ​ 1 Mark
(b) A number n is multiplied by three and subtracted by 5. ​ ​ ​ 1 Mark
(c) Sum of two numbers 2a and b subtracted from their product.​ ​ 2 Marks
21.​ Read the given passage and answer the following questions:

The mass of the earth is 5,976,000,000,000,000,000,000,000 Kg and the radius of the earth is 6370 Km.
Moon is the natural satellite of earth which revolves around the sun due to strong gravitational force of the
earth. The mass of moon is 7.36 x 1022Kg. The radius of the moon is 1740 Km. The distance between the
earth and moon is 384000 km.

(i)​ Write the mass of earth in standard form?​ ​ ​ ​ ​ ​ 1 Mark
a) 5.976 x1024kg​ ​ ​ b) 59.76 x1023kg

c) 597.6 x1022kg ​ ​ ​ d) 5.976 x1021kg

(ii) Express the distance between earth and moon in standard form.​ ​ ​ ​ 1 Mark
(iii) What will be the product of mass of the moon and mass of earth in exponential form?​ 2 Marks
​ ​ a) 4.398336 x1047kg2​ ​ ​ ​ ​ b) 43.98336 x1047kg2

​ ​ c) 4.398336 x1046kg2​ ​ ​ ​ ​ d) 43.98336 x1046kg2

OR

Express the double of difference of radius of earth and moon in standard form

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