CBSE Class 7 Mathematics Sample Paper Set U

CBSE Class 7 Mathematics Sample Paper Set U.Its very important for every student to review the question papers of previous years. The last year question papers should be practiced to gain extra marks in examinations. The previous year question papers for both summative assessment1 and summative assessment 2 should be reviewed to understand the examination pattern. Students, teachers and parents can download all CBSE educational material and very well prepared worksheets from this website.  All CBSE educational material is developed by our panel of teachers, have also been submitted by CBSE teachers and students. 

SECTION – A 

Q.1 15% of 250 = _________.

Q.2 Write −12/18 in standard form.

Q.3 Area of a parallelogram = _________.

Q.4 Construct an equilateral triangle of side 6cm.

Q.5 Write the expression for –

Sum of numbers a and b subtracted from their product.

Q.6 Write 23700000 in scientific notation.

Q.7 Find the ratio of 6 hours to 3 days.

Q.8 Give the other name to the line of symmetry of –

a) an isosceles Δ b) a circle

Q.9 If 2 cubes each of dimensions 2cm by 2cm by 2cm are placed side by side. What would the dimensions of the resulting cuboid be?

Q.10 Draw the net of a dice with required dots on it. 

SECTION – B 

Q.11 Convert each part of 2:3:5 into percentage.

Q.12 Find any 3 rational numbers between (+5/7) and (+3/8)

Q.13 Construct ΔABC given m∠A = 60⁰, m∠B = 30⁰ and AB = 5.8 cm.

Q.14 Diameter of a circular garden is 9.8 m. Find its area.

Q.15 Express in exponential form –

i) a×a×a×b×b×d×d×d×d ii) 540

Q.16 What should be subtracted from (3x² – 4y² + 5xy + 20) to get (– x² – y² + 6xy + 20).

Q.17 How many times a wheel has to rotate to go 440 m if its radius is 35 cm.

SECTION – C

Q.18 Evaluate using laws of exponents : (12)⁴ x (9)³ x 4 / (6)³ x (8)² x 27

Q.19 Simplify by combining like terms :

3a – 2b – ab – (a – b + ab) + 3ab + b – a

Q.20 The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.

Q.21 Show on number line : a) 2/3            b)  -7/4 

Q.22 Construct a right angled triangle ABC with ∠B=90⁰, with base BC=4 cm and hypotenuse AC=5 cm. Measure and write the length of AB.

Q.23 Simplify and express the result in power notation with positive exponent :-

Q.28 Find the whole quantity if –

a) 12% of it is Rs. 1080 b) 5% of it is 600

Q.29 Name and draw, a rough sketch of –

a) a triangle with both line and rotational symmetries of order more than 1.

b) a triangle with only line symmetry and no rotational symmetry of order more than 1.

c) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

d) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

SECTION – D

(Attempt any five questions – 7×5=35)

Q.30 Meha sells a micro-wave for Rs. 13,500. She loses 20% in the bargain. What was the price at which she bought it?

Q.31 Construct a ΔPQR if PQ=5cm, m∠PQR=105⁰, and m∠QRP=40⁰. Write the steps of construction.

Q.32 Two cross-roads, each of width 5m, run at right angles through the centre of a rectangular park of length 70m and breadth 45m and parallel to its sides. Find the -

a) total area of the cross-roads.

b) cost of planting grass in the remaining part of the park at the rate of Rs. 40 per m².

Q.33 a) Simplify the given expression and find the value if x=2 in :

4 (2x–1) + 3x + 11.

b) Find the 5th and 8th terms of the given expression :

(i) 2n + 1 (ii) 4n – 1

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