CLASS 7 - MATHS PRACTICE PAPERS

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Dice are cubes with dots on each face. Opposite faces of a die always have a total of ________ dots on them

6

7

8

9

If two cubes of dimensions 2 cm by 2cm by 2cm are placed side by side, what would the dimensions of the resulting cuboid be?

 when kept side by side, 

the length is the only measurement which increases, 

it becomes 2 + 2 = 4 cm. 

The breadth = 2 cm and the height = 2 cm.

 N

Two dice are placed side by side as shown:  what the total would be on the face opposite to (a) 5 + 6 (b) 4 + 3 

Three cubes each with 2 cm edge are placed side by side to form a cuboid. what could be its length, breadth and height

State the number of lines of symmetry for the following figures: (a) An equilateral triangle (b) An isosceles triangle (c) A scalene triangle (d) A square (e) A rectangle (f) A rhombus (g) A parallelogram (h) A quadrilateral (i) A regular hexagon (j) A circle

What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about. (a) a vertical mirror (b) a horizontal mirror (c) both horizontal and vertical mirrors

Give three examples of shapes with no line of symmetry.

What other name can you give to the line of symmetry of: (a) an isosceles triangle? (b) a circle?

Name any two figures that have both line symmetry and rotational symmetry

What cross-sections do you get when you give a: (i) vertical cut (ii) horizontal cut to the following solids? (a) A brick (b) A round apple (c) A die (d) A circular pipe (e) An ice-cream cone. 

In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. Name of the figure you complete?

Find the value of: (i) 26 (ii) 93 (iii) 112 (iv) 54 

The length and breadth of a rectangular piece of land are 500 m and 300 m respectively. Find: (i) Its area. (ii) The cost of the land, if 1 m2 of the land costs ₹10,000.

Find the area of a square park whose perimeter is 320 m

Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 cm, find the breadth of the rectangular park.

A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also, find the area of the rectangle

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of white washing the wall, if the rate of white washing the wall is ₹ 20 per m2.

Find the area of each of the following parallelograms:

Find the area of each of the following triangles:

Find the missing values:

 Find the missing values:

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Divisibility tests

Test for divisibility by 2

Numbers ending in 0, 2, 4, 6, or 8 are divisible by 2.

Test for divisibility by 4.

If the number formed by the last 2 digits of a given number is divisible by4, the given number is divisible by 4.

Test for divisibility by 8

If the number formed by the last 3 digits of a given number is divisible by8, the given number is divisible by 8.

Test for divisibility by 3

If the sum of the digits of the given number is divisible by 3, then the given number is divisible by 3.

Test for divisibility by 9

If the sum of the digits of the given number is divisible by 9, then the given number is divisible by 9.

Test for divisibility by 5

Numbers ending in 0 or 5 are divisible by 5.

Test for divisibility by 10

Numbers ending in 0 are divisible by 10.

Test for divisibility by 11 

If the difference of the sum of the digits in alternative places is divisible by11,. the given number is divisible by 11.

Test for divisibility by 6

If an even number is divisible by 3, it is divisible by 6.

Test for divisibility by 12

A number which is divisible by 4 and 3, is divisible by 12.

Test for divisibility by 25

If the number formed by the last 2 digits is divisible by 25, then the number is divisible by 25

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MULTIPLYING BY 11, 12 & 15

 VEDIC MATHEMATICS
MULTIPLYING BY 11
Antyayoreva (sub – sutra)
only the last 2 digits

Nought Placed at both ends.

Add the final digits 

Continue to add adjacent digits

For Example:

13423 x 11

0134230

0+1     1+3    3+4   4+2    2+3    3+0

147653 

43211 x 11

0432110

0+4    4+3   3+2   2+1   1+1  1+0

475321

MULTIPLYING BY 12

sopantyadvayamantyam

The ultimate and twice the penultimate

Nought sandwich

Ultimate digit is 0

Penultimate digit is 4

The ultimate plus twice the penultimate is 

For Example:

65214 x 12

Ultimate 0652140

0+8 = 8

4+2 = 6

1+4 = 5

2 +10 =12

5+12+carry 1 =18

6+0+ carry 1 = 7

782568

Multiplying by 15

Multiplying by 15 can be broken down into a multiplication by 10 plus a multiplication by 5. Multiplying by 10 is just a matter of adding a 0 on the end of a number, multiplying by 5 is half of a multiplication by 10 as above e.g.

15 x 33 

= [10 x 33] + [5 x 33] 

= 330 + [(10 x 33) / 2] 

= 330 + [330 / 2]

 = 330 + 165 = 495

e.g. 

to multiply 15 x 27 

you first multiply 27 x 10 giving 270, 

then 'add half again',

 i.e. half of 270 is 135, 

add this to 270 to get 405 

and 

that's your answer

 

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MULTIPLICATION All of 9’s

VEDIC MATHEMATICS

NIKHILAM NAVATASHCARAMAM DASATAH

EKANYUNENA PURVENA

By one less than the previous

MULTIPLICATION All of 9’s

By one less than the previous

MULTIPLICATION All of 9’s

When Multiplier or Multiplicand consist only of 9’s

EKANYUNENA PURVENA -MULTIPLICATION All of 9’s 

– Case 1 same number of digits

EKANYUNENA PURVENA -MULTIPLICATION All of 9’s 

– Case 2  number of digits in All 9’s is less than

EKANYUNENA PURVENA -MULTIPLICATION All of 9’s 

– Case 3  number of digits in All 9’s is more than the multiplicand

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