Maths Quiz for class 6 to 10.

1. WELCOME TO
MATHS QUIZ

2. 1.WARM UP
ROUND

3. BHAGAT SINGH
HOUSE

4. 1. FIND THE AREA OF RHOMBUS IF
DIAGONALS ARE
30CM AND 20CM.

5. • 300 SQUARE CM

6. 2. WHAT IS SUM OF
INTERIOR ANGLES
OF
OCTAGOAN?

7. 1080

8. CHANKAYA HOUSE

9. 1. HOW MANY DIAGONAL DRAW IN
OCTAGOAN ?

11. • 2. FIND VALUE OF ?
FACES VERTEX EDGE
20 12 ?

13. RANI LAXMI BAI HOUSE

14. 1. HOW MANY SKEW LINES CAN DRAW
FROM RECTANGLE ?

15. 0

16. 2. IF 3 INTERIOR ANGLES SUM OF A
QUADRILATERAL IS 120 DEGREE.
THEN WHICH TYPE OF SUCH
QUADRILATERAL. NAME IT?

17. CONCAVE
QUADRILATERAL

18. 2.MCQ ROUND

19. •BHAGAT SINGH
HOUSE

20. A solid metallic spherical ball of diameter 6cm is melted and recast into
a cone with diameter of the base as 12cm. The height of cone is
a) 2cm
b) 3cm
c) 4cm
d) 6cm

21. 3cm

22. 10x = 64, what is the value of 10x/2 + 1 ?
(a) 18 (b) 42 (c) 80 (d) 81

23. Ans:- C

24. CHANKYA HOUSE

25. IF A1/3 + B1/3 + C1/3 = 0 then
(a) A +B+C =0
(b) ( A+B+C )3 = 27ABC
(c) A+B+C = 3ABC
(d) A3+B3+C3 = 0

26. Ans :- B

27. If the sum of first n even natural numbers is
equal to k times the sum of first n odd natural
numbers, then k =
a) 1/n b) n-1 c) n+1 d) n+1
n 2n n

28. ans:- d

29. RANI LAXMIBAI HOUSE

30. If S1 is the sum of an A.P of ‘n’ odd number of
terms and S2 the sum of the terms of the
Series in odd places, then
𝑆1
𝑆2
=
(a)2n (b) n (c) n+1 (d) n+1
n+1 n+1 2n n

31. Ans:- A

32. If A1 , A2 and A3 denote the areas of 3 adjacent
faces of a cuboid, then its volume is________
(a) A1A2A3 (b) 2A1A2A3 (c) A1A2A3
(d) 2A1A2A3

33. Ans :- C

34. 3.) PEN PAPER
ROUND

35. BHAGAT SINGH
HOUSE

36. ABC IS A TRIANGLE IN WHICH LB = 2LC. D IS
A POINT ON SIDE BC SUCH THAT AD
BISECTS LBAC AND AB=CD. BE IS THE
BISECTOR OF LB.
FIND LBAC?

37. 72

38. IF SIN A +SIN2 A +SIN3 A =1
FIND VALUE OF
COS6 A – 4COS4 A+ 8COS2 A

39. 4

40. CHANKYA HOUSE

41. A CONICAL VESSEL OF RADIUS 6 CM
AND HEIGHT 8 CM IS COMPLETELY FILLED
WITH WATER. A SPHERE IS JUST IMMERSED
INTO WATER TOUCHES SIDES. FIND THE
RADIUS OF SPHERE?

42. 3 CM

43. SIN(A+B-C) = 1/2
COS(B+C-A) = 1/2 AND
TAN(C+A-B) = 1
FIND VALUE OF A, B AND C.

44. A = 37.5
B = 45
C = 52.5

45. RANI LAXMI BAI
HOUSE

46. IF SINα + COSα = X
FIND Sin 6α + COS 6α

47. 4 – 3(X2 – 1)2
________________
4

48. FACTORIZE:
X3 + 3X2 +3X -7

49. (X-1)(X2 + 4X +7)

50. 4. MENTAL ROUND

51. BHAGAT SINGH HOUSE

52. IF A:B=7:15, B:C=7:16
FIND A:B:C

53. 49:105:240

54. A MAN DRIVES TO HIS OFFICE AT
60 KM/H AND RETURN HOME
ALONG THE SAME ROUTE AT 30
KM/H. FIND AVERAGE SPEED?

55. 40 KM/H

56. A DISHONEST DEALER PROFESSES TO
SELL HIS GOODS AT COST PRICE, BUT
HE USES A WEIGHT OF 960gm FOR
THE Kg WEIGHT. FIND HIS GAIN %.

57. 25/6%

58. A is twice as good a workman as
B. Together, they finish the work
in 14 days.
In how many days can it be done
by each separately?

59. A-21
B-42

60. CHANKYA HOUSE

61. If A:B=3:4,
B:C = 8:10 And
C:D =15:17 Then
Find A:B:C:D

62. 3*8*15 : 4*8*15 :
4*10*15 : 4*10*17
OR 9:12:15:17

63. A positive number is divided by
5 instead of being multiplied
by 5. What % is the result of
the required correct value?

64. 4%

65. The difference between
the S.I and C.I on a
certain sum of money for
2 years at 4% per annum
is Rs. 5. Find the sum.

66. 3125

67. Each of the radius and the
height of a right circular
cylinder is both increased by
10%. Find the % by which
the volume increased.

68. 33.1%

69. RANI LAXMI BAI HOUSE

70. Find mean
proportional between
3 and 75.

71. 15

72. A shopkeeper marks the price
of his goods 12% higher than
its original price. After that, he
allows a discount of 12%. What
is % profit or loss?

73. Loss 1.44%

74. A batman in his 17th innings
make a score of 85, and
thereby increases his
average by 3. What is his
average after 17 inning?

75. 37

76. A, B and C can do a work in 8, 16
and 24 days respectively. They all
begin together. A continues to
work till it is finished, C leaving off
2 days and B one day before its
completion. In what time is the
work finished?

77. 5 days

78. BUZZER ROUND

79. 1.) IF THE ORTHOCENTRE AND THE CENTROID OF A
TRIANGLE ARE THE SAME, THEN THE TRIANGLE IS:-
......

80. ANSWER: EQUILATERAL

81. Q2.
THE LENGTH OF THE COMMON CHORD OF TWO
CIRCLES OF RADII 30 CM AND 40 CM WHOSE
CENTRES ARE 50 CM APART, IS:
A) 12 CM
B) 24 CM
C) 36 CM
D) 48 CM

82. ANSWER: 48 CM

83. Q3.
THE RATIO OF THE AREA OF A SQUARE TO THAT
OF A SQUARE DRAWN ON ITS DIAGONAL IS:
A) 1:1
B) 1:2
C) 2:1
D) 1:4

84. ANSWER: 1:2

85. Q4.
THE SELLING PRICE OF 10 ORANGES IS THE COST
PRICE OF 13 ORANGES. THEN THE PROFIT % IS:
A) 30 %
B) 10 %
C) 13 %
D) 3 %

86. ANSWER: 30%

87. Q5.
THE SMALLEST NUMBER TO BE ADDED TO 1000,
SO THAT 45 DIVIDES THE SUM EXACTLY, IS:
A) 35
B) 80
C) 20
D) 10

88. ANSWER: 35

89. Q6.
HOW MANY NATURAL NUMBERS DIVISIBLE BY 7
ARE THERE BETWEEN 3 AND 200?
A) 27
B) 28
C) 29
D) 36

90. ANSWER: 28

91. Q7.
WHAT IS THE TWO- THIRD OF THE HALF OF 370?
A) 123.5
B) 123.33
C) 124.33
D) 124.5

92. ANSWER: 123.33

93. Q9.
HALF OF 1 PER CENT WRITTEN AS A DECIMAL IS:
A) 0.2
B) 0.02
C) 0.05
D) 0.005

94. ANSWER: 0.005

95. Q8.
THE SUM OF ALL THE 2- DIGIT NUMBERS IS:
A) 4995
B) 4950
C) 4945
D) 4905

96. ANSWER: 4905

97. Q9.
THE SUM OF ALL THOSE PRIME NUMBERS WHICH
ARE NOT GREATER THAN 17:
A) 59
B) 58
C) 41
D) 42

98. ANSWER: 58

99. Q10.
HOW MANY NUMBERS LESS THAN 1000 ARE
MULTIPLES OF BOTH 10 AND 13?
A) 9
B) 8
C) 7
D) 6

100. ANSWER: 7

101. Q11.
THE AVERAGE OF THE FIRST NINE INTERGAL
MULTIPLE OF 3 IS:
A) 21
B) 15
C) 12
D) 18

102. ANSWER: 15

103. Q12.
IF X =
1
3
Y AND Y =
1
2
Z, THEN X: Y: Z IS EQUAL TO:
A) 3:2:1
B) 1:2:6
C) 1:3:6
D) 2:4:6

104. ANSWER: 1:3:6

105. Q13.
IF A:B = B:C, THEN 𝐴4:𝐵4 IS EQUAL TO:
A) AC:𝐵2
B) 𝐴2
: 𝐶2
C) 𝐴2: 𝐵2
D) 𝐵2: AC

106. ANSWER: 𝑎2
: C

107. Q14.
A AND B HAVE MONEY IN RATIO 2:1. IF A GIVES
Rs. 2 TO B, THE MONEY WILL BE IN RATIO 1:1.
WHAT WERE THE INITIAL AMOUNTS THEY HAD?
A) Rs. 12 AND Rs. 6
B) Rs. 16 AND Rs. 8
C) Rs. 8 AND Rs. 4
D) Rs. 6 AND Rs. 3

108. ANSWER: Rs. 8 AND Rs. 4

109. Q15.
TWO NUMBERS ARE IN THE RATIO 4:5 AND
THEIR L.C.M. IS 180. THE SMALLER NUMBER IS:
A) 9
B) 15
C) 36
D) 45

110. ANSWER: 36

111. Q16.
WHAT NUMBER SHOULD BE SUBTRACTED FROM
BOTH THE TERMS OF THE 11:15 SO AS TO MAKE
IT AS 2:3?
A) 2
B) 3
C) 4
D) 5

112. ANSWER: 3

113. Q17.
TWO NUMBERS ARE IN RATIO 4:7. IF EACH IS
INCREASED BY 4, THE RATIO BECOMES 3:5. THE
LARGER NUMBER IS:
A) 36
B) 48
C) 56
D) 64

114. ANSWER: 56

115. Q18.
IF 80% OF A = 50% OF B AND B = X% OF A,
THEN THE VALUE OF X IS:
A) 400
B) 300
C) 160
D) 150

116. ANSWER: 160

117. Q19.
IF P% OF P IS 36, THEN P IS EQUAL TO:
A) 3600
B) 600
C) 60
D) 15

118. ANSWER: 60

119. Q20.
2 IS WHAT % OF 50?
A) 2
B) 2.5
C) 4
D) 5

120. ANSWER: 4

121. Q21.
65g IS WHAT % OF 2 Kg?
A)
13
4
B)
65
2
C)
15
8
D)
13
8

122. ANSWER:
13
4

123. Q22.
2
3
IS WHAT % OF
1
3
?
A) 50%
B) 150%
C) 200%
D) 33
1
3
%

124. ANSWER: 200%

125. Q23.
IF 120% OF A IS EQUAL TO 80% B, THEN
𝐵+𝐴
𝐵−𝐴
IS
EQUAL TO:
A) 5
B) 7
C) 6
D) 8

126. ANSWER: 5

127. Q24.
0.01 IS WHAT % OF 0.1?
A) 10
B) 0.1
C) 100
D) 0.01

128. ANSWER: 10

129. Q25.
A NUMBER WHEN REDUCED BY 10% GIVES 30.
THE NUMBER IS:
A) 40
B) 35
C) 33
1
2
D) 33
1
3

130. ANSWER: 33
1
3

131. Q26.
IF X IS LESS THAN Y BY 25% THEN Y EXCEED X
BY:
A) 33
1
3
%
B) 25 %
C) 75 %
D) 66
2
3
%

132. ANSWER: 33
1
3
%

133. Q27.
IF COST PRICE OF AN ARTICLE IS 80% OF ITS
SELLING PRICE, THE PROFIT % IS:
A) 20%
B) 24%
C) 25%
D) 30%

134. ANSWER: 25%

135. Q28.
A SUM OF Rs. 1600 GIVES A SIMLE INTEREST OF
Rs. 252 IN 2 YEARS AND 3 MONTHS. THE RATE
OF INTEREST IS:
A) 5.4%
B) 8%
C) 7%
D) 6%

136. ANSWER: 7%

137. Q29.
WHAT SUM OF MONEY WILL AMOUNT TO Rs.
520 IN 5 YEARS AND TO Rs. 568 IN 7 YEARS AT
SIMPLE INTEREST ?
A) Rs. 400
B) Rs. 120
C) Rs. 510
D) Rs. 220

138. ANSWER: Rs. 400

139. Q30.
THE COST PRICE OF 8 ARTICLES IS EQUAL TO
THE SELLING PRICE OF 9 ARTICLES. THE PROFIT OR LOSS
% IS:
A) 122
1
% 𝐿𝑂𝑆𝑆
B) 122
1
% PROFIT
C) 119
1
% 𝐿𝑂𝑆𝑆
D) 119
1
% 𝑃𝑅𝑂𝐹𝐼𝑇

140. ANSWER: 119
1
% 𝐿𝑂𝑆𝑆

141. Q31.
A FAN IS LISTED AS Rs. 150 AND A DISCOUNT OF
20% IS GIVEN. THEN THE SELLING PRICE IS:
A) 180
B) 150
C) 110
D) NONE OF THESE

142. ANSWER: NONE OF THESE

143. Q32.
A CAN DO A WORK IN 6 DAYS AND B CAN DO WORK IN
9 DAYS. HOW MANY DAYS WILL BOTH TOGETHER TAKE
TO COMPLETE THE WORK?
A) 7.5
B) 5.4
C) 3.6
D) 3

144. ANSWER: 3.6 DAYS

145. Q33.
A CAN DO A WORK IN 15 DAYS AND B CAN DO
20 DAYS. IF THEY WORK TOGETHER ON IT FOR 4
DAYS, THEN THE FRACTION OF THE WORK THAT
IS LEFT:
A)
8
15
B)
7
15
C)
1
4
D)
1
10

146. ANSWER:
8
15

147. Q34.
TWO PIPES A AND B CAN FILL A TANK IN 20
MINUTES AND 30 MINUTES. IF BOTH PIPES ARE
OPENED TOGETHER, THE TIME TAKEN TO FILL
THE BANK IS:
A) 50 MIN
B) 12 MIN
C) 25 MIN
D) 15 MIN

148. ANSWER: 12 MIN

149. Q35.
A TRAIN PASSES TWO BRIDGES OF LENGHTS 800M
AND 400M IN 100 SECONDS AND 60 SECOND. THE
LENGTH OF THE TRAIN IS:
A) 80M
B) 90 M
C) 200 M
D) 150 M

150. ANSWER: 200 M

151. Q36.
A MAN ROWS A BOAT 18 Km IN 4 HOURS
DOWNSTREAM AND RETURN IN 12 HOURS. THE
SPEED OF STREAM ( Km PER HOUR) IS:
A) 1
B) 1.5
C) 2
D) 1.75

152. ANSWER: 1.5

153. Q37.
A TRAIN PASSES A 50M LONG PLATEFORM IN 14
SECONDS AND A STANDING MAN IN 10
SECONDS. THE SPEED OF THE TRAIN IS:
A) 24 KM/HOUR
B) 36 KM/HOUR
C) 40 KM/HOUR
D) 45 KM/HOUR

154. ANSWER: 45 KM/HOUR

155. Q38.
TWO TRAIN OF EQUAL LENGTH, RUNNING IN
OPPOSITE DIRECTIONS, PASS A POLE IN 18
SECOND AND 12 SECOND. THE TRAIN WILL
CROSS EACH OTHER IN:
A) 14.4 SEC
B) 15.5 SEC
C) 18.8 SEC
D) 20.2 SEC

156. ANSWERA: 14.4 SEC

157. Q39.
A CERTAIN SUM OF MONEY YIELD Rs. 1261 AS A
COMPOUND INTEREST FOR 3 YEARS AT 5% PER
ANNUM. THE SUM IS:
A) 9000
B) 8400
C) 8000
D) 7500

158. ANSWER: Rs. 8000

159. Q40.
A AND B HAVE MONEY IN RATIO 2:1. IF A GIVES
Rs. 2 TO B, THE MONEY WILL BE IN RATIO 1:1.
WHAT WERE THE INITIAL AMOUNTS THEY HAD?
A) Rs. 12 AND Rs. 6
B) Rs. 16 AND Rs. 8
C) Rs. 8 AND Rs. 4
D) Rs. 6 AND Rs. 3

160. ANSWER: Rs. 8 AND Rs. 4

161. Q41.
TWO NUMBERS ARE IN THE RATIO 4:5 AND
THEIR L.C.M. IS 180. THE SMALLER NUMBER IS:
A) 9
B) 15
C) 36
D) 45

162. ANSWER: 36

163. Q42.
WHAT NUMBER SHOULD BE SUBTRACTED FROM
BOTH THE TERMS OF THE 11:15 SO AS TO MAKE
IT AS 2:3?
A) 2
B) 3
C) 4
D) 5

164. ANSWER: 3

165. Q43.
TWO NUMBERS ARE IN RATIO 4:7. IF EACH IS
INCREASED BY 4, THE RATIO BECOMES 3:5. THE
LARGER NUMBER IS:
A) 36
B) 48
C) 56
D) 64

166. ANSWER: 56

167. Thanks