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Ch -1 Knowing Our Numbers

1. Place value of 5 in 605, 116, 218 is _________

(A) 5 billion (B) 5 million (C) 5 (D) 50 ten thousand

2.Place value of a digit increases by times as it moves place by place from right to left.

(A) 100 (B) 1/10 (C) 10 (D) 1000

3.Write the greatest 4-digit number using different digits with 6 in the ten’s place ?

(A) 9865 (B) 9867 (C) 9687 (D) 6987

4. A bottle contains 920 ml of mustard oil. The total quantity of oil contained in 25 such

bottles, is _________

(A) 23 litres (B) 25 litres (C) 24 litres (D) 22 litres

5.Difference of 500 and 200 is_________

(A) C (B) CCC (C) MMM (D) D

6.The first basic Roman numeral is_________

(A) O (B) I (C) V (D) X

7.Expanded form of 37034 is _________

(A) 3000 + 700 + 0 + 30 + 4 (B) 30000 + 700 + 0 + 10 + 4

(C) 30000 + 1000 + 0 + 70 + 4 (D) 30000 + 7000 + 0 + 30 + 4

8.Bobby’s date of birth is 19th September. Express the date in Roman numeral

(A) XXI (B) XIXX (C) MX (D) XIX

9.Capacity is not measured in _________

(A) Litres (B) Millilitres (C) Cubic centimetres (D) Centimetres

10.Roman numeral for 498 is _________

(A) CDCXVIII (B) CDCXIV (C) CDXCVIII (D) CDXCVII

11.When a Roman numeral of smaller value is put between two numbers of greater value, it

is subtracted from the numeral on its _________

(A) Left (B) Right (C) Both sides (D) Next numeral from

left

12.The ascending order of XX,XXXVI,V is _________

(A) V,XXXVI,XX (B) XX,V,XXXVI

(C) V,XX,XXXVI (D) XXXVI,XX,V

13.CDI + V + C + X is equal to _________

(A) 506 (B) 401 (C) 406 (D) 516

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14.Identify the place value for the underlined digit of the number below. 3, 704,0_79

(A) Millions (B) Thousands (C) Hundreds (D) Tens

15.The standard numeral of thirty-one crores, fifty-five lakhs, thirty two thousands, eight

hundreds is _________

(A) 31,55,32,800 (B) 3,01,55,32,800

(C) 3,15,05,32,800 (D) 3,15,53,02,800

16.The difference of the greatest 7 digit number and the smallest 5 digit number is

_________

(A) 998999 (B) 9989999 (C) 99899 (D) 998099

17.The place which comes on immediate right of the hundreds place in the place value chart

is _________

(A) Thousands (B) Tens (C) Ones (D) Ten thousands

18.Hindu-Arabic numeral for MCDXVIII is _________

(A) 1618 (B) 1405 (C) 1418 (D) 1481

19.Millions period consists of the places _________

(A) M, TM (B) M, TM, HM (C) TTH, HTH, M (D) O, T, M

20.The largest four digit and smallest four digit numbers using the digits 4, 0, 3,7

is_________

(A) 4370,4307 (B) 3740,3047 (C) 7403,3704 (D) 7430,3047

21.Face value of “3” in 31005660 is _________

(A) 3 crores (B) 30 lakhs (C) 3 (D) 30

22.Commas are inserted in a number after each .

(A) Place (B) Digit (C) Period (D) None of these

23. 55 kg 200 g of sugar is distributed among 12 persons. The quantity of sugar received by

each person is _________

(A) 4 kg 200 g (B) 4 kg 400 g (C) 4 kg 600 g (D) 4 kg 800 g

24.Place value and face value are always equal at which place ?

(A) Hundred’s (B) One’s (C) Thousand’s (D) Ten’s

25.The number 315233729 can be written in International system as _________

(A) Three hundred fifteen millions, two hundred thirty three thousands, seven hundred twenty

nine.

(B) Thirty one crores, fifty two lakhs, thirty three thousands, seven hundred and twenty nine.

(C) Three one five lakhs, two three thousand, seven hundred and twenty nine.

(D) Three hundred fifteen million.

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26.Place value of a digit decreases by times as it moves place by place from left

to right.

(A) 10 (B)1/10 (C) 100 (D) 1

27.Hindu-Arabic numeral forCCCXLVIl, is_________

(A) 357 (B) 347 (C) 367 (D) 387

28.How many three-digit numbers can be formed using 3,5,0 if the digits cannot be repeated?

(A) 3 (B) 4 (C) 5 (D) 6

29.A machine produces 2825 screws in a day and after a month (30 days), these screws are

distributed equally to five dealers in different parts of the city. The number of screws each

dealer got is_________

(A) 16950 (B) 17000 (C) 17500 (D) 84750

30.Number name for 900800700 in Indian system is

(A) Ninety crores, eight lakhs and seven hundred

(B) Nine crores, eight lakhs and seven hundred

(C) Ninety crores, eighty lakhs and seven hundred

(D) Ninety crores, eight lakhs and seven

.

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Ch -2 Whole Numbers

1. The product of 64125 by 173 is_______________ .

(A) 11309625 (B) 11093625 (C) 1130685 (D) 6337505

2.The property satisfied by the division of whole numbers is_______________ . (A) Closure property (B) Commutative property

(C) Associative property (D) None of these

3.Associative property is used between___________ .

(A) Two numbers (B) Three numbers (C) Four numbers (D) Ten numbers

4.Which of the following set of numbers will make the number sentence true

___________ +___________ = 12.

(A) (6, 8, 12) (B) (6, 8, 16) (C) (16, 8, 10) (D) (6, 8, 10)

5.Which of the following statements is true? (A) Every whole number is a natural number. (B) Every natural number is a whole number.

(C) 1 is the least whole number. (D) 99 is the largest whole number

6.(38 + 83) + 38 = 38 + (83 + 38) is an example of_________________ property. A) Commutative (B) Associative

(C) Closure (D) Distributive

7.If a, b and c are whole numbers such that a > b and c =\ 0 and c > 0, then

(A) a x c < i) x c (B) a x c > b x c

(C) a x c = b x c (D) None of these

8.Difference between the face values of 5 & 9 in 165,234 & 842,928 is___________ (A) 4100 (B) 5900 (C) 4 (D) 14

9.Which of the following properties are NOT applicable to the subtraction of whole

numbers?

A) Closure property (B) Commutative property

(C) Associative property (D) All of these

10.There are 222 red balls in a basket. A boy takes out 6 red balls from it and replaces

them by 12 white balls. He continues to do so, till all red balls are replaced by white

balls. Then the number of white balls put in the basket is_______ (A) 333 (B) 444 (C) 345 (D) 400

11.Multiplicative identity is______

(A) 1 (B) 0 (C) 2 (D) Both (A) and (B)

12.The number with which 82 is multiplied so that product remains the same

is________ .

(A) 82 (B) 0 (C) 1/82 (D) 1

13.If a and b are two whole numbers, then commutative law is applicable to subtraction

if and only if

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A) a = b (B) a =\ b (C) a > b (D) a < b

14.Which of the following operations satisfies the associative law for whole numbers?

(A) Subtraction and division (B) Subtraction and multiplication

(C) Division and multiplication (D) Addition and multiplication

15.If a x b = 0, then _________ A) a =\ 0 (B)b=\0

(C) Either a = 0 or b = 0 (D) Neither a = 0 nor b = 0

16.The expression 6(b + c) is equivalent to 6b + 6c , uses the___________property. (A) Commutative (B) Closure (C) Distributive (D) Identity

17.Which of the following expressions in INCORRECT?

(A)Positive integer > zero > negative integer

(B)Positive integer > negative integer < zero

(C)Zero < positive integer > negative integer

(D)Positive integer > zero < negative integer

18.Product of two integers is – 48. If one of the integers is – 6, then the other

is_____________. (A) 1 (B) 288 (C) 0 (D) 8

19.The integer which is 2 more than (-7 + (-2)) is_______________ .

(A) -7 (B) -9 (C) 11 (D) -3

20.If positive sign precedes a bracket the sign of the terms inside the bracket will

_________ when the bracket is removed.

(A) Not change (B) Change

(C) Be 0 (D) Depends on the bracket

21.Which sign will come in the box to make the expression true?

(-25) – (- 42) – (-27) □ (- 42) – (-25) + (-22) (A) < (B) > (C) = (D) <

22.Square of any negative integer is____________ .

(A) Negative (B) Positive

(C) 0 (D) Depends on the nature of integer

23.If negative sign precedes a bracket the sign of the terms inside the bracket will when

the bracket is removed. (A) Not change (B) Change

(C) Remains the same (D) Change or

24. Find the sum of the given expression.

(-172) + (-40) + 5 + (-425) + (-275) + 600 -(-15)

(A) 315 (B) -21 (C) 40 (D) -292

25.While removing brackets, the order in which the brackets are removed

is____________________ .

(A) [],(),{} (B) {},(),[ ] (C) (),{},[ ] (D) [],{},()

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26.Subtract the number obtained by reversing the digits of the number 20198 from

the number obtained by interchanging the digits in the unit‟s place and the hundred‟s

place of the same number, we get .

(A) -68211 (B) 68004 (C) -68229 (D) 77121

27.Which of the following is correct ? (A) -99 < 0 < 2 < -37 (B) -99 < -37 < 0 < 2

(C) -37 < 0 < 2 < -99 (D) -37 < -99 < 0 < 2

28.Multiplying a negative integer for odd number of times gives a_____________ result. (A) Positive (B) Negative (C) 0 (D) Both (A) and (B)

29.John‟s monthly salary is Rs. 12000. He spends Rs. 1450 for his son‟s education, Rs.

550 for purchasing clothes, Rs. 450 for purchasing vegetables, milk, etc., Rs. 1500 for

purchasing medicine and pays a rent of Rs. 5000 in a particular month. How much does

he save in this month? (A) Rs. 4255 (B) Rs. 4960 (C) Rs.3165 (D) Rs. 3050

30.Which of the following statements is true (if N, W and I are sets of Natural, Whole

and Integer numbers respectively ? (A) N c W c I (B) I c N c W (C) W c N c I (D) I c W c N

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Ch -3 Playing With Numbers

1.The number (9, 8) are___________ numbers.

(A) Co-prime (B) Prime

(C) Both prime and co-prime (D) None of these

2.The co-prime numbers from the following pairs, is_______________ .

(A) 7 and 63 (B) 36 and 25 (C) 35 and 21 (D) 63 and 81

3.What least value should be given to * so that the number 653*47 is divisible by 11 ? (A) 9 (B) 6 (C) 7 (D) 1

4.70060800 + 109003 is divisible by____________ .

(A) 7 (B) 3 (C) 9 (D) 11

5.The HCF of two numbers is 28 and their LCM is 336. If one number is 112, then the

other number is ____________

(A) 64 (B) 84 (C) 34 (D) 92

6.The two consecutive prime numbers with difference 2 are called_____________ . (A) Coprimes (B) Twin primes (C) Composite (D) Even

7.The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of

14, 19, 29 and 34 respectively is _________ (A) 1394 (B) 1404 (C) 1664 (D) 1406

8.The numbers which are not multiples of 2 are called______________ numbers.

(A) Even (B) Odd (C) Prime (D) Composite

9.Two tankers contain 850 litres and 680 litres of kerosene oil respectively, then the

maximum capacity of a container which can measure the kerosene out of both the

tankers when used an exact number of times is .

(A) 170 litres (B) 85 litres (C) 34 litres (D) 10 litres

10.Observe the following patterns. Then find the sum of 1 + 3 + 5 + 7 + 9 + … + 19.

1 =1×1 =1

1+3 =2×2 =4

1+3+5 =3×3=9

1 + 3+ 5 + 7 =4×4 = 16

1+3 + 5 + 7 + 9 =5×5=25

(A) 121 (B) 81 (C) 100 (D) 64

11. HCF of two co-prime numbers is________ . (A) 1 (B) 0 (C) 2 (D) None of these

12.The two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6

and 7, is______ . (A) 9660,10080 (B) 9320,10080 (C) 9669,10080 (D) 10340,10080

13.The numbers which have more than two factors are called____________ .

(A) Prime (B) Composite (C) Both (A) and (B) (D) None of these

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14.The least number of square tiles that will be needed to pave a plot 225 m by 30 m

is ___________ (A) 30 tiles (B) 15 tiles (C) 25 tiles (D) 45 tiles

15.When a number is divided by seven, it has a remainder of 2. When it is divided by

six, it has a remainder of 3. What is the number? (A) 16 (B) 38 (C) 44 (D) 9

16.LCM of two co-prime numbers is their ________

(A) Sum (B) Difference (C) Product (D) Quotient

17. HCF of the two numbers =

(A) Product of numbers + their LCM (B) Product of numbers – their LCM

(C) Product of numbers x their LCM (D) Product of numbers -their LCM

18.There are 153 apples and 119 oranges. These fruits are to be arranged in heaps

containing the same number of fruits. Then the greatest number of fruits possible in

each heap is _____

(A) 15 (B) 23 (C) 17 (D) 20

19.Number of prime numbers from 1 to 50 are_________ . (A) 18 (B) 12 (C) 15 (D) 20

20.A number is always divisible by 90 if________ .

(A) It is divisible by both 2 and 45 (B) It is divisible by both 5 and 18

(C) It is divisible by both 9 and 10 (D) All of these

21.The reciprocal of the smallest prime number is_________ .

(A) 0 (B) 1/2 (C) 1 (D) 2

22.The two numbers which have only 1 as their common factor are called____________

.

(A) Co-primes (B) Twin primes (C) Composite (D) Even numbers

23.The numbers which have only two factors (1 and the number itself) are called as

______

(A) Composite (B) Even (C) Prime (D) None of these

24.The number 3,116,365 is divisible by________ . (A) 5 (B) 7 (C) Both 5 & 7 (D) None of these

25.The least number which when decreased by 9 is exactly divisible by 12, 16, 24 and 48

is ________ . (A) 16 (B) 48 (C) 57 (D) 39

26.Which of the following numbers is a perfect square?

A) 36 (B) 81 (C) 37 (D) Both (A) and (B)

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27.Find the greatest number which will divide the greatest 4-digit number and the

greatest 5-digit number exactly A) 9 (B) 8 (C) 7 (D) 3

28. 1265 is divisible by

(A) 2 (B)3 (C) 10 (D) 11

29.Prime factorisation of 13915 is_______ . (A) 5 x 11 x 11 x 23 (B) 5 x 11 x 7 x 23

(C) 11 x 7 x 23 x 3 (D) 5 x 11 x 11 x 3

30.The HCF and LCM of two numbers is 16 and 192 respectively. If one of the numbers

is 64, the other number is _______

(A) 48 (B) 24 (C) 72 (D) 45

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Ch – 4 Basic Geometrical Shapes

1. If a circle is divided into two equal parts, then equal part of the circle is

called_______. (A) Semicircle (B) Major circle (C) Minor circle (D) All of these

2. A pair of lines which do not intersect at any point are called_______lines.

(A) Perpendicular (B) Parallel

(C) Concurrent (D) Intersecting

3. A set of points which extend infinitely in both directions is called__________. (A) Line (B) Plane (C) Line segment (D) Point

4. In the given figure, lines l, m and n are called lines.

(A) Collinear

(B) Parallel

(C) Concurrent

(D) Transversal

5. A cuboidal box has _________corner points.

(A) 10 (B) 6 (C) 12 (D) 8

6.The basic elements of a triangle are_________ .

(A) 3 vertices (B) 3 sides (C) 3 angles (D) All of these

7.Which of the following statements is INCORRECT ?

8. In the given figure, point P is called_______.

(A) Vertical point

(B) Point of concurrence

(C) Plane

(D) Common point

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9.Two points in a plane determine __________ .

(A) An infinite number of segments (B) Exactly one line segment

(C) Two segments (D) None of these

10.Number of angles formed in the given figure is_____________.

(A) 2 (B) 5

(C) 4 (D) More than 5

11.An area bounded by chord and major arc is called_____.

(A) Minor segment (B) Major arc

(C) Major segment (D) Semicircle

12.An edge of a ruler gives us an idea of the portion of a____________.

(A) Plane (B) Curve (C) Angle (D) Line

13.Angle inscribed in a major segment is____________. (A) Acute (B) Obtuse (C) Right (D) Straight

14.Three or more points are_________, if they lie on a line. (A) Collinear (B) Intersecting (C) Noncollinear (D) None of these

15.Three or more lines are______ , if they pass through a common point.

(A) Parallel (B) Collinear (C) Intersecting (D) All of these

16.Set of points extending infinitely in all directions on the same flat surface is_______.

(A) Line (B) Plane (C) Line segment (D) Point

17.The two rays of an angle are called________ of the angle. (A) Lines (B) Two arms (C) Two parts (D) None of these

18.The surface of a football is _______surface.

(A) Curved (B) Flat

(C) Triangular (D) Can’t be determined

19.Each surface of a box is the portion of a _______surface.

(A) Triangular (B) Circular (C) Flat (D) Curved

20.Longest chord of the circle is____________ .

(A) Diameter (B) Chord (C) Radius (D) Minor chord

21.A cuboidal box has___________ edges representing the portions of lines. (A) 14 (B) 8 (C) 12 (D) 16

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22.The total boundary length of circle is called ____________ .

(A) Area (B) Volume (C) Circumference (D) Diameter

23.A set of points which is a part of a line with two end points is__________. (A) Line (B) Line segment (C) Ray (D) Point

24. Which of the following statements is INCORRECT ? (A) A line segment has two end points. (B) A line has no end points.

C) A ray has only one end point. (D) A line is same as a ray.

25.Three or more points in a plane are said to be collinear if they lie on the (A) Same plane (B) Same line

(C) Different lines (D) Same curve

26.The number of arcs made by a chord on a circle is . (A) 3 (B) 2 (C) 1 (D) 4

27. Which of the following statements is true?

(i) A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of

radii on the other two sides.

(ii) A segment of a circle is region in the interior of the circle enclosed by an arc and a chord.

(A) Both (i) & (ii) (B) Only(i) (C) Only(ii) (D) Neither (i) nor (ii)

28. In how many maximum number of points can two distinct lines intersect? (A) 3 (B) Infinite

(C) 0 (D) 1

29.In the given figure, points P, O and Q are called_________. (A) Collinear (B) Non-collinear

(C) Concurrent (D) None of these

30. The number of line segments possible with three collinear points is ___________. (A) 1 (B) 2 (C) 3 (D) Infinite

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Ch – 5 Fraction

1.The daily consumption of milk in a family is 3 1/4 litres. The quantity of milk

consumed by the family during the month of september is

(A) 90 litres (B) 100 1/2

(C) 971/2 (D) 97 2/3

2. In Rajeev‟s rose garden, 3/12 are white roses, 4/12 are yellow roses and the rest are

red roses. What fraction of the roses are red ? (A) 1/12 (B) 5/12

(C) 3/12 (D) 4/12

3. Three equivalent fractions of 2/3 are____________.

(A) 2/6, 3/6, 4/12 (B) 4/6, 6/9, 8/12

(C) 3/6, 7/6, 8/12 (D) 4/6, 8/6, 3/6

4. My elder sister divided a watermelon into 18 parts. I ate 7 out of them. My friend ate

What fraction of watermelon remained ?

5.In which figure does the shaded part represents 1/3 ?

6.The models are shaded to show which of the following ?

7.The daily consumption of milk in a family is 3 1/4 litres. The quantity of milk

consumed by the family during the month of september is (A) 90 litres (B) 100 1/2

(C) 97 1/2 (D) 97 2/3

8. In Rajeev‟s rose garden, 3/12 are white roses, 4/12 are yellow roses and the rest are

red roses. What fraction of the roses are red ?

(A) 1/12 (B) 5/12

(C) 3/12 (D) 4/12

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13.A small tank is 2/5 full of water. The water is then poured into a large empty tank

which has a capacity that is twice that of the small tank. What fraction of the large tank

is filled with water?

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15.Which of the following orders are the fractions from the smallest to the largest ?

16. In which of the following does the shaded part represent one third of its whole ?

19. Which of the following is true for the shaded parts of models shown?

20.How many more equal-sized pieces would you need to make a whole for figure? (A)1 (B) 2 (C) 4 (D) 6

21.Aman had 128 trading cards. He gave 3/8 of his cards to Mohit and 1/4 of his cards

to Kushal. How many cards did he give away altogether?

(A) 50 (B) 65 (C) 80 (D) 75

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DIRECTION (23-24) : Look at the alphabets given below and answer the questions.

K E S H A V

22. What fraction of alphabets are made of 3 straight lines ?

23. What fraction of alphabets are made of curved lines ?

24. What fraction of one metre is 10 cm ?

25. Which of the following expressions is correct ?

26.Write the equivalent fractions represented by the shaded portions of these figures.

27.Reena eats one full bar of chocolate. Then she divides another one into 5 equal parts

and eats 3 of those parts. The total number of chocolates that she has eaten in fraction is

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Ch – 6 Decimals 1.A boy weighs 56.74 kg. If his father is 1.5 times heavier than his son, then the weight

of the father is_____ .

(A) 85 kg (B) 85.11kg (C) 85.20 kg (D) 85.15 kg

2.If 0.111 is approximately equal to -,then the approximate value of 0.777

is________________ .

3.Arrange the following decimal numbers in ascending order.

5.5, 0.55, 0.055, 0.005

(A) 5.5, 0.055, 0.005, 0.55 (B) 0.55, 0.005, 0.055, 5.5

(C) 5.5, 0.55, 0.055, 0.005 (D) 0.005, 0.055, 0.55, 5.5

4.Which of the following expressions is correct ? (A) 0.6 < 0.06 (B) 0.66 =5/9

(C) 455 >11/25 (D) 1/6 >0.17

5. 2+1/100+3/1000___________ (A) 0.213 (B) 2.13

(C) 2.013 (D) 2.130

6. 8/10+0+7/1000=____________ (A) 0.087 (B) 807

(C) 0.807 (D) 0.807

7.An ant went 4 m 26 cm up a tree, then it came 2 m 30 cm down.The distance travelled

by the ant.

A) 1 m 50 cm (B) 1 m 60 cm (C) 1 m 96 cm (D) 2 m

8.Sid travelled 5 km 52 m by bus, 2 km 265 m by car and the rest 1 km 30 m he walked.

Total distance travelled by him is_____.

(A) 8.347 km (B) 8.000 km (C) 8.925 km (D) 9.000 km

9. A 8 m 57 cm pole was put in a pond to measure its depth. If 4 m 66 cm of pole

remained outside water, then the depth of pond is________.

(A) 3.91 m (B) 3.00 m (C) 3.45 m (D) 3.23 m

10. The smallest possible decimal fraction upto three decimal places is

(A) 0.101 (B) 0.111 (C) 0.001 (D) 0.011

11. 3 hundredths can be written as______________. (A) 0.003 (B) 0.03 (C) 0.300 (D) 300

12.The product of 3.92 x 0.1 x o.0 x 6.3 is___________.

(A) 0.392 (B) 0.1176 (C) 0 (D) 6.3

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14.Which of the following fractions is equal to 0.67?

(A) 1/3 (B) 2/3 (C) 3/4 (D) 3/5

15. Which number is equal to (0.1/0.01+0.01/0.1) ?

(A) 10.1 (B) 1.10 (C) 1.01 (D) 10.01

16.The sum of two numbers is 31.021. If one of them is 11.56, then the other number

is______.

(A) 19.461 (B) 17.461 (C) 18.641 (D) 19.561

17.The cost of 1 litre of milk is Rs. 7.50, then the cost of 30.5 litres of milk

is____________.

(A) Rs. 225.75 (B) Rs. 223.75 (C) Rs. 228.75 (D) Rs. 227.89

18.Expression of 0.23 in terms of vulgar fraction is _____.

(A) 7/30 (B) 23/100 (C) 23/90 (D) 7/90

19.The ratio of copper and zinc in an alloy is 9 : 5. If the weight of zinc in the alloy is 9.5

gm, then weight of copper in it is______.

(A) 17.2gm (B) 17.1 gm (C) 17.5gm (D) 17.4gm

20.In 14.135, the digit 5 is in the_____place. (A) tenths (B) hundreds (C) thousandths (D) thousands

21.The fractional number corresponding to the following number “9 tens + 5 ones + 3

tenths + 7 hundredths” is________ .

(A) 9437/100 (B) 9537/100 (C) 9000/100 (D) 9637/100

22. The decimal form of 5 (3/8) is ____________ (A) 5.375 (B) 5.000 (C) 5.255 (D) 2.325

23.What is the following number in standard form ?

2 + (8 x 0.1) + (6 x 0.01) + (4 x 0.001)

(A) 0.2864 (B) 2.864 (C) 28.64 (D) 286

24.Prem went to a craft fair where he spent a total of Rs. 16.00. He spent Rs. 6.00 on

admission and went to 8 tables. He spent the same amount of money (m) at each table.

The following expression can be used to find how much money he spent at each table.

16 = 6 + 8 m

How much money did Prem spend at each table ?

(A) Rs. 0.50 (B) Rs. 0.80 (C) Rs. 1.25 (D) Rs. 2.00

25. Rahul bought 4 kg 90 g of apples, 2 kg 60 g of grapes and 5 kg 300 g of mangoes. The

total weight of all the fruits he bought is_______ . (A) 11.000 kg (B) 11.450 kg (C) 11.350 kg (D) 11.250 kg

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27.Abhishek had Rs. 7.45. He bought toffees for Rs.5.30. The balance amount left with

Abhishek is_______. (A) Rs. 2.30 (B) Rs. 2.00 (C) Rs. 2.15 (D) Rs. 3.00

29.The correct expanded form for 2.06 is_________.

30.A man covers a journey by car in 3 hours. He covers a distance of 64 km 324 m

during the first hour, 58 km 56 m during the second hour and 62 km 8 m during the

third hour. What is the length of his journey? (A) 184 km 388 m (B) 184 km 380 m

(C) 184 km 308 m (D) 184 km 3088 m

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Ch – 8 Data Handling 1. The line plot below shows how students scored on last week‟s maths test.

How many students scored 95 or more in the test ?

(A) 12 (B) 7 (C) 24 (D) 16

2. The given diagram shows the students who picked their favourite colour. What is the

fraction of students having their favourite colour red to the total number of students ?

(A) 8/20 (B) 4/20 (C) 2/20 (D) 6/20

DIRECTION (3-5): The sale of electric fans on different days of a week is shown below :

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3.How many fans were sold on Saturday ?

(A) 4 (B) 12 (C) 8 (D) 16

4. On which day maximum number of fans were sold ? (A) Monday (B) Tuesday (C) Friday (D) Sunday

5.If one fan was sold at the rate of ? 900. What was the total earnings on Friday ?

(A) Rs. 6300 (B) Rs. 6500 (C) Rs. 8900 (D) Rs. 21000

6.Jagdish surveyed the students of his school to determine their favourite sport. The

results are shown in the graph.How many more students like Basketball than Cricket?

(A) 60 (B) 120 (C) 20 (D) 40

7.The Delhi School‟s football team washed cars every Saturday for a month to raise

money for the local children‟s hospital. The students charged ? 5 for each car they

washed.

The pictograph below shows the total number of cars washed by the team. What is the

total amount of money raised by the football team ?

(A) Rs. 120 (B) Rs.300 (C) Rs. 550 (D) Rs. 600

DIRECTION (8 – 9) : Read the following bar graph and answer the questions given

below.

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8. Which month has maximum rainfall ? (A) April (B) July (C) August (D) September

9.Which two months do not have any rain ?

(A) January and March (B) January and November

(C) November and December (D) March and November

10.The horizontal line in the graph is called__________.

(A) X-axis (B) Y-axis (C) Line (D)None of these

11.The vertical line in the graph is called__________. (A) Y-axis (B) X-axis (C) Line (D) None of these

12. In a tally mark, a group of five marks represented as________.

DIRECTION (13-14) : The colours of refrigerators preferred by people living in a

locality are shown in the following pictograph.

13.How many people liked Red coloured refrigerator ?

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(A) 40 (B) 30 (C) 20 (D) 55

14.Total number of people liked Blue and Green coloured refrigerators is____________

. (A) 70 (B) 60 (C) 50 (D) 40

DIRECTION (15-19): The given graph shows the marks scored by a student in his class

test. Read the graph shown and answer the questions.

15. Highest marks are scored in_______.

(A) English (B) Hindi (C) Maths (D) None of these

16. If the maximum number of marks is 50 in each subject, then in how many subjects

student scored more than half of maximum marks ?

(A) 1 (B) 2 (C) 3 (D) 4

17.If the student wants to raise his total score upto 225, then how many more marks

should he score?

(A) 125 (B) 100 (C) 200 (D) 25

18. If the minimum marks for passing in each subject is 14, then in how many subject/

subjects did he fail?

(A) 1 (B) 2 (C) 0 (D) None of these

19. In which subject he scored minimum marks ? (A) Hindi (B) English (C) Science (D) Social studies

DIRECTION (20- 21) : Table-I and Table-ll shows the number of Government

employees in some cities.

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20.How many employees does each □ represent ? (A) 500 (B) 600 (C) 700 (D) 800

21.Which of the following is the correct representation of the number of employees in

Mumbai?

(A) □ □ □ □ (B) □□□□□□ (C) □ □ □ □ □ (D) □ □ □

DIRECTION (22 – 23): This table and pictograph which show the number of school

teachers in some cities.

Name of City No. of School Teachers

Hyderabad ©©©©©© ©

Chennai © © © © ©

Delhi ?

22.How many school teachers does each © represent ? (A) 500 (B) 600 (C) 700 (D) 800

23.Which of the following is the correct representation of the number of school teachers

in Delhi ? (A) © © © © (B) © © © © © ©

(C) © © © © © (D) © © ©

24.If $ represent 5 balloons, then the number of symbols to be drawn to represent 60

balloons is .

(A) 5 (B) 60 (C) 10 (D) 12

25.The graphical representation of numerical data is called___________ . (A) Picture graph (B) Graph (C) Pictograph (D) None of these

26.A picture representation of data is called________ .

(A) Pictograph (B) Different graph (C) Attractive graph (D) None of these

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DIRECTION (27- 30): The following pictograph shows the number of scooters sold by a

company during a week. Study the pictograph carefully and answer the questions given

below.

27.How many scooters were sold on Monday? (A) 30 (B) 35 (C) 40 (D) 45

28.How many scooters were sold on Tuesday ?

(A) 20 (B) 24 (C) 26 (D) 30

29.On which day of the week was the sale of the scooters was maximum? (A) Monday (B) Friday (C) Tuesday (D) Saturday

30.On which day of the week was the sale of the scooters was minimum ?

(A) Monday (B) Saturday (C) Tuesday (D) Wednesday

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Ch - 9 Mensuration

1.A wire is in the shape of a square of perimeter 64 cm. A rectangle is formed with this

wire such that its length is 20 cm. Then, the area of the rectangle is_____ .

(A) 240 cm 2 (B) 880 cm2

(C) 256 cm2 (D) 350 cm2

2. If the area of a rectangle is equal to the area of a square and if one side (/) of the

rectangle is equal to the perimeter of the square, then the other side (b) of rectangle is

___ .

(A) side + 2 (B) (side)2 + 2 (C) side + 4 (D) side 3

3.A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, then the

perimeter of the square is __________ .

(A) 28 cm (B) 24 cm

(C) 32 cm (D) 36 cm

4. 80 students of the same height stand with both hands stretched all along the sides of a

rectangular garden, each student covering a length of 1.75 m. Then the perimeter of the

garden is _______

(A) 1400 m (B) 140 m (C) 14 m (D) 1400 km

5.Find the area of the unshaded part of the given figure. (A) 45 sq. cm (B) 52 sq. cm (C) 68 sq. cm (D)78 sq. cm

6.If the area of the rectangle is 16 m2, then which dimensions may not be possible for

rectangle ? (A) Length = 8 m, breadth = 2 m (B) Length = 16 m, breadth = 1 m

(C) Length = 32 m, breadth =1/2 m (D) Length = 8.5 m, breadth = 2 m

7.A square and a rectangular plot of land have same perimeter. If the square is of side

40 m and rectangle is of length 5 decameter. Then area of rectangle is____ .

(A) 1500 m2 (B) 1600 m2 (C) 200 m2 (D) 150 m2

8.The area of the shaded region in the figure is ________ (A) 207 m2

(B) 158 m2

(C) 256 m2

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(D) 60 m2

9..An athlete takes 5 rounds of a rectangular park, 50 m long and 250 dm wide. Then

the total distance covered by him is_______ . (A) 150 m (B) 75 m (C) 750 m (D) 300 m

10.What is the perimeter of the shaded area in the given figure ?

(A) 18 units (B)19 units (C) 16 units (D) 9 units

11.The length of a rectangle is (6/5)th of its breadth. if its perimeter is 132 m, its area

will be_____.

(A) 1080 m2 (B) 640 m2

(C) 1620 m2 (D)2160 m2

12.Perimeter of a triangle is the sum of the lengths of all the ____sides.

(A) 4 (B) 2 (C) 3 .(D) 6

13.All the figures given below consist of the four squares of equal size. Which figure has

the smallest perimeter ?

14.If perimeter of a square is tripled, then area will be_____of original area.

(A) 4 times (B) 1/4 times (C) 9 times (D) 1/9 times

15.The number of envelopes that can be made out of a sheet of paper 384 cm by 172 cm

if each envelope requires a piece of paper of size 16 cm by 12 cm, is_____. (A) 340 (B) 344 (C) 338 (D) 342

16. The length and breadth of a rectangular field are 260 m and 130 m respectively,

then its area (in hectares) is_____ .

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(A) 338 (B) 33800 (C) 3.8 (D) 3.38

17.The area of a square is numerically equal to the perimeter of the square, then the

side of square is __ .

(A) 2 units (B) 3 units (C) 4 units (D) 5 units

18. The number of paving stones, each measuring 10 dm by 9 dm required to pave a

rectangular veranda 60 m by 6 m is _____.

(A) 360 (B) 400 (C) 350 (D) 300

19.In a square shaped park, whose side measures 28 m, a rectangular pond is located at

the centre with dimensions 3 m and 2 m. The area of the park excluding the pond

is_____. (A) 784 sq. m (B) 750 sq. m (C) 778 sq. m (D) 708 sq. m

20.Perimeter of the figure (not drawn to scale) is___.

(A). 68.2 cm (B)1 cm 86.3 cm (C) 86.3 cm (D) 68.3 cm

21.A figure is formed by putting two squares one on the other as shown in the figure. If

the length of each side of the two squares is 8 cm, then the perimeter of the figure

formed is _____ .

(A) 56 cm (B) 64 cm (C) 32 cm (D) 48 cm

22. Each side of a square field measures 85 m. The distance covered by a man going

around the field 5 times is__________ . (A) 1600 m (B) 1800 m (C) 1500 m

23. Find the missing length of the given figure.

(A) 6 cm (B) 4 cm

(C) 2 cm (D) 5 cm

24. The length of a rectangular hall is 5 metres more

than its breadth. If the breadth of the hall is 25 metres,

then area of the hall is______________ .

(A) 150 m2 (B) 225 m2

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(C) 750 m2 (D) 850 m2

25.If the length of a rectangle is two times its breadth and area is 288 cm2, then length

and breadth are respectively .

(A) 20 cm, 10 cm (B) 12 cm, 24 cm

(C) 24 cm, 12 cm (D) 16 cm, 18 cm

26.Find the area and perimeter respectively of a rectangular plot of land whose length

and breadth are 15.4 m and 6.5 m respectively. (A) 100.10 sq. m, 43.8 m

(B) 43.8 m, 100.10 sq. m

(C) 4.38 m, 100.10 sq. m

(D) 1001.10 sq. m, 4.38 m

27. The total cost of flooring a room at ^ 8.50 per sq. metre is ? 510. If the length of the

room is 8 metres, find its breadth.

A) 7.4 m (B) 7.5 m (C) 8.5 m (D) 5.8 m

28.Parul walks twice around a square field of side 25 m. Nitish walks thrice around a

rectangular field with length 20 m and breadth 14 m. Who covers more distance and by

how much? (A) Nitish, 4 m (B) Parul, 6 m (C) Nitish, 204 m (D) Parul, 8 m

29.A room is 12.5 m long and 8 m wide. Asquare carpet of side 8 m is laid on its floor.

Find the area of the floor which is not carpeted ?

(A) 36 m (B) 36 sq. m (C) 63 m (D) 63 sq. m

30. Which of the following has the maximum shaded area ?

(A) (i)

(B) (ii)

(C) (iii)

(D) CAN,T BE DETERMINEDNCERT SOLUTIONS

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CH – 10 ALGEBRA

1.Rakhi travelled 4x km distance by walk, 2y km by cycle and 9 km by bus. The total

distance covered by Rakhi in an algebraic expression is____. (A) (x + y + 1) km (B) (4x + 2y + 9) km

(C) (x – y + 2) km (D) (2x + 3y + 1) km

2.The equation for the statement; „Half of a number added to 10 is 15‟ is______ (A) x/2 = 10 + 5 (B) x/2+ 10=15 (C) x/2 + 15=10 (D) x/2 = 10 + 15

3.I had Rs. 200 with me. I gave Rs. x to Anwar, Rs.x/2 to Vidhu and I am left with Rs.

x/2. The amount I gave to Vidhu is_______. (A) Rs. 50 (B) Rs. 40 (C) Rs. 30 (D) Rs. 15

4.Ages of two friends are in the ratio 2 : 1. If the sum of their ages is 51, then their ages

are respectively __________. .

(A) 34 yrs, 20 yrs (B) 34 yrs, 17 yrs (C) 20 yrs, 10 yrs (D) 30 yrs, 15 yrs

5.Equation for the statement „Thrice the length (l) of a room is 340 metres‟ is ______.

(A) 3l= 430 (B) 3l = 340 (C) 3 + l = 340 (D) 3l + 340 = 0

6.If six times of a number is 48, then the number is______. (A) – 8 (B) 1 (C) 48 (D) 8

7. An algebraic expression 11 – y can be written in statement as______.

(A) 11 less than y (B) y less than 11

(C) y more than 11 (D) y divided by 11

8. In 6(2a – 1) + 8 = 14, the value of „a‟ is______.

(A) -1 (B) 3*1 /12 (C) 4/10 (D)1

9. Half of a number is added to 18, then the sum is 46. The number is _______. (A) 92 (B) 56 (C) 65 (D) 0

10. The method of finding solution by trying out various values for the variable is called

_____ (A) Error method (B) Trial and error method

(C) Testing method (D) Checking method

11. In the given figure, magnitude of angles are______ . (A) 40°, 120° (B) 30°, 90°

(C) 45°, 135° (D) 50°, 150°

12. Value of x in x/2+1/2 = 4 is _________.

(A) 28 (B) -28 (C) 14 (D) -14

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13. Meera bought packs of trading cards that contain 10 cards each. She gave away 7

cards. x = Number of packs of trading cards

x= Number of packs of trading cards

Which expression shows the number of cards left with Meera ? (A) 10x-7 (B) lx-8 (C) 5-10x (D) 8 – 5x

14.To get the value of „a‟, the number to be divided on either side of equation 6a = 30

is . (A) -6 (B) 30 (C) 6 (D) 0

15. In 2/3p-2*1/2= 3*1/2, the value of p is_____ .

(A) -9 (B) 6 (C) 9 (D) 0

16. Power of a variable in a linear equation is____ . (A) 0 (B) One (C) Two (D) Three

17.The value of x in the equation 16(x + 7) = 144 is_________.

(A) 2 (B) 1 (C) 0 (D) 3

18.Number to be added on both the sides of the equation y – 8 = 6 to find the value of V,

is ______

(A) -8 (B) 8 (C) 0 (D) -6

19.If 3/4x+8 = 17, then the value of x is________ . (A) -12 (B) 36 (C) 12 (D) -36

20.The number of girls in a class is 5 times the number of boys. Which of the following

cannot be the total number of children in the class? (A) 24 (B) 30 (C) 35 (D) 42

21.The algebraic expression for the statement “Product of x and a subtracted from the

product of b and y” is ______ (A) ax – by (B) x + a – by (C) by -ax (D) xa – b – y

22.In a/8+a/4 = 6. the value of a is _____.

(A) 122 (B) -16 (C) 16 (D) 0

23.A grasshopper can jump up to 91.4 cm in a single jump. If the grasshopper jumped

731.2 cm altogether, how many jumps did it make ?

(A) 17 (B) 8 (C) 9 (D) 12

24.If a = b, then a + x = _______ . (A) b + x (B) bx (C) b-x (D)b / x

25.The algebraic expression for the statement „x multiplied by itself is____.

(A) x (B) x3 (C) x2 (D)2x

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26. If a = b, then ax =_____ (A) a + x (B) bx (C) b-x (D) b + x

28.Simplify : 2a – [3b – {a – (2c – 3b) + 4c-3(a – b- 2c)}].

(A) 8c – 3b (B) 8c + 3b (C) -8c – 3b (D)-8c + 3b

29. 5x – [4y – {7x – (3z- 2y) + 4z – 3(x +3y-2z)}] =

(A) 9x + 11y (B) 9x + 7z (C) 9x -11 y (D)9x – 11y + 7z

30.When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225.

Find the number.

(A) 13 (B) 14 (C) 15 (D) 16

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Ch – 11 Ratio and Proportion

1.The middle terms, if four different numbers are in proportion are called______ . (A) Antecedents (B) Means (C) Extremes (D) Consequents

2.In a cricket coaching camp, 1200 children are trained out of which 900 are selected for

various matches. Ratio of non-selected children to the total number of children is___ . (A) 300 : 120 (B) 4 : 1 (C) 1 : 4 (D) 120 : 300

3. A bus travels 126 km in 3 hours and a train travels 315 km in 5 hours. The ratio of

their speeds is_____ . (A) 126 : 315 (B) 2 : 3 (C) 1 : 3 (D) 3 : 5

4. A generator consumes 2.875 litres of diesel per hour. The quantity of diesel required

to run the generator for 24 hours is_____ . (A) 45 litres (B) 55 litres (C) 72 litres (D) 69 litres

5.Divide Rs. 3010 among A, B, C respectively in such a way that A gets double of what B

gets and B gets double of what C gets. (A)Rs. 1720, Rs. 860, Rs. 430 (B) Rs. 1640, Rs. 920, Rs. 450

(C) Rs. 1690, Rs. 825, Rs. 495 (D) Rs. 1800, Rs. 400, Rs. 810

6.The values of x and y in the box respectively are________ .

(A) 5, 12 (B) 12, 5 (C) 5, 10 (D) 10, 5

7. If p : q : : r: s, then the correct statement is______.

(A) qr = ps (B) pqr = s (C) qrs =p (D) pq=rs

9.Share of A, B and C respectively, is___ , if Rs. 4340 is divided in 1/2:1/3: 1/5. (A) Rs. 2100, Rs. 1400, Rs. 840 (B) Rs. 1400, Rs. 2100, Rs. 840

(C) Rs. 840, Rs. 2100, Rs. 1400 (D) Rs. 1400, Rs. 840, Rs. 2100

10.If □ persons : 10 persons = 7000 paise : Rs. 100, then □ means________. (A) 5 (B) 6 (C) 7 (D) 8

11. If 12 men can do a piece of work in 18 days , in how many days will 8 men complete

it ? (A) 12 (B) 27 (C) 10 (D) 16/3

12.Ratio of shaded fraction to whole is __________.

(A) 1:2 (B) 1 : 3 (C) 3 : 4 (D)2 : 3

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13.A litre of kerosene oil weighs 0.819 kg and 10 litres of petrol weighs 7.02 kg, then

the ratio of the weight of kerosene oil to that of petrol per litre is_______ .

(A) 7 : 5 (B) 5 : 7 (C) 6 : 7 (D) 7: 6

14.Ratio is a method of comparing two quantities by______ . (A) Addition (B) Subtraction (C) Division (D) Multiplication

15.The antecedent and consequent of a ratio_____ interchanged unless there is a change

in the given statements. (A) Can be (B) Cannot be (C) Sometimes (D) None of these

16. Cost of a toffee is 50 paise and cost of a chocolate is Rs. 10, then the ratio of the cost

of a toffee to the cost of a chocolate is______ . (A) 5 : 1 (B) 1 : 20 (C) 1 : 5 (D) 20 : 1

17. The ratio of father‟s age to that of his son is equal to the ratio of the mother‟s age

to that of her daughter. If the ages of mother, son and daughter be 48, 24 and 18 years

respectively, then the age of the father is_________.

(A) 54 years (B) 60 years (C) 64 years (D) 50 years

18. In a quiz programme, the ratio of correct answers to incorrect answers is 5:2. If

16 incorrect answers are given, then the number of correct answers given is______ .

(A) 80 (B) 40 (C) 20 (D) 30

19.In the word MATHEMATICS, the ratio of number of consonants to the number of

vowels

is_____ . (A) 4 : 7 (B) 7 : 4 (C) 5 : 6 (D) 6 : 5

20. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total

amount is ? 420, find the total number of coins. (A) 798 (B) 789 (C) 978 (D) 987

21.Divide 1162 into three parts such that 4 times the first part, 5 times the second part

and 7 times the third part are equal. (A) 490, 392, 280 (B) 492, 392, 380 (C) 493, 329, 389 (D) 393, 290, 360

22. The ratio of (1/3 of Rs.9.30) to (0.6 of Rs.1.55) is________ .

(A) 1:3 (B) 10:3 (C) 3 : 10 (D) 3 : 1

23. Which of the following ratios is not equal to 8 : 3 in its simplest form? (A) 16 : 6 (B) 104 : 36 (C) 56 : 21 (D) 896 : 336

24. The monthly salary of A, B, C is in the proportion of 2 : 3 : 5. If C‟s monthly salary

is Rs. 1200 more than that of A, then B‟s annual salary is _________

(A) Rs.14400 (B) Rs. 24000 (C) Rs. 1200 (D) Rs. 2000

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25. The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs.

6000 more than the television set, the price of the television set is_______ .

(A) Rs.6000 (B) Rs. 10000 (C) Rs. 12000 (D) Rs. 18000

26.A certain amount was divided between Kavita and Reena in the ratio 4 : 3. If

Reena‟s share was Rs. 2400, then the total amount is_____ .

(A) Rs. 5600 (B) Rs. 3200 (C) Rs. 9600 (D) None of these

27.The incomes of A and B are in the ratio 3 : 2 and their expenditures are in the ratio 5

: 3. If each saves Rs. 1000, then A‟s income is____. (A) Rs. 3000 (B) Rs.4000 (C) Rs. 6000 (D) Rs.9000

28. If a : b = c : d, then ma+nc/mb+nd is equal to_______.

(A) m : n (B) na : mb (C) a :b (D) md:nc

29. A‟s money is to B‟s money as 4 : 5 and B‟s money is to C‟s money as 2 : 3. If A has

Rs.800, C has

(A) Rs. 1000 (B) Rs. 1200 (C) Rs. 1500 (D) Rs. 2000

30. A sum of Rs. 1300 is divided among A, B, C and D such that

(A) Rs. 140 (B) Rs. 160 (C) Rs. 240 (D) Rs.320

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Ch – 12 Symmetry

1. A square has_________ of symmetry. (A) One line (B) Two lines (C) Three lines (D)Four lines

2. A circle has_________ of symmetry.

(A) One line (B)Two lines

(C) Three lines (D)Infinite lines

3. Which of the following is not symmetrical about its diagonals?

(A) Square (B) Rectangle

(C) Rhombus (D) None of these

4.An angle of 15° is drawn using a pair of compass and ruler by bisecting_______ .

(A) 60° (B) 60° and 120°

(C) 60° and then bisecting it again (D) 60° and 180°

5.An angle which can be constructed using a pair of compass and ruler is_______ .

(A) 20° (B) 80° (C) 60° (D) 110°

6. Bisecting means dividing into two_______ (A) Unequal (B) Equal (C) Triangular (D) None of these

7.To draw an angle of 150° using a pair of compass and ruler_________ .

(A) Bisect angle between 120° and 180° (B) Bisect angle between 60° and 120°

(C) Bisect angle between 0° and 160° (D) None of these

(A) 4.2 cm (B) 4 cm (C) 4.1 cm (D) 16.4 cm

(A) 37° (B) 37.5° (C) 47.5° (D) 47°

11.Which of the following alphabets has no line of symmetry ?

(A) O (B) B (C) Q (D) A

12.A line has____ end points. (A) No (B) 2 (C) 1 (D) 3

13. Which of the following alphabets has horizontal line of symmetry ? (A) H (B) B (C) E (D) All of these

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14. Two lines are said to be parallel when they______ at any point.

(A) Do not intersect (B) Intersect (C) Are perpendicular (D) None of these

15. Which of the following triangles has no lines of symmetry ?

(A) A scalene triangle (B) An isosceles triangle

(C) An equilateral triangle (D) All of these

16.The angles is to be bisected to obtain an angle of 90° is_______ . (A) 60° and 45° (B)60° and 120° (C) 120° and 180° (D) 30 and 60°

17. A line segment has end points.

(A) No (B)2 (C)1 (D)3

18.A rhombus is symmetrical about_____ . (A) The line joining the midpoints of its opposite sides

(B) Each of its diagonals

(C) Perpendicular bisector of each of its sides

(D) None of these

A) AD (B) BE (C) CF (D) None of these

20. ABCD is a kite in which AB = AD and BC = DC. The kite is symmetrical

about______ (A) diagonal AC (B) diagonal BD (C) Side AB (D) Side BC

21.How many minimum squares must be shaded to make the given figure symmetric?

(A) 1 (B) 2

(C) 3 (D) 4

22.Which of the following figures does not have a line of symmetry?

23.Which of the following figures has more than one line of symmetry?

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24.What is the smallest number of squares that must be added so that the line AB

becomes the line of symmetry? (A) 1 (B) 2 (C) )3 (D) 4

25.Which of the following pairs of lines are the lines of symmetry of the figure?

(A) AB and CD . (B) EF and GH (C) AB and EF (D) CD and GH

26.Which square must be shaded so that the figure has a line of symmetry ?

(A) A (B) B (C) C (D) D

27.Which of the following figures has a line of symmetry?

28. Which of the following figures has a line of symmetry?

29. What is the smallest number of squares that must be shaded so that the line AB

becomes the line of symmetry?

(A) 4

(B) 3

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(C)

(D) 7

30.Which square must be shaded so that the figure has a line of symmetry? (A) P (B) Q (C) R (D) S