AFAQ Leaders Club MCQ GUIDE: MATHEMATICS LEVEL
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Transcript of AFAQ Leaders Club MCQ GUIDE: MATHEMATICS LEVEL
AFAQ
MCQ Guide Mathematics
Elementary
1. Who presented the concept of set in 19th century?
George cantor
2. A collection of well -defined and distinct objects is called _______
Set
3. Sets are usually denoted by _______ letters
Capital
4. Each object or number in a set is known as
Element or member
5. All the elements of the sets are enclosed braces
{ }
6. The set having only one element is called a
Singleton set
7. If a={1,2,3,4,5}, d= {1,3,4,5,9} then which of the following statement is true
2∈ c
8. There are ____ types of subset
Two
9. Symbol = meanings
Is equal
10. Symbol ∈ meanings
Is an element of
11. Symbol ∈/ meanings
Is not an element of
12. if a ={1,2,3,4} is a set of
Natural numbers
13. B={0,1,2,3,4,5....} is a set of
Whole numbers
14. _____________ ias an infinite set
B ={1,3,5,7,.....}
15. If b={a,b,c,d,...p}then n(b) =...........
16
16. Number of subset of {0,1,2,3}is
16
17. In decimal system "0" Is used as a
Place holder
18. the whole numbers which are not divisible by 2 are known as
Odd numbers
19. the successors of 521,669 is
521670
20. The greatest 7 digit number is
9999999
21. The smallest 6 digit number is
100000
22. ........ Is the predecessor of 625980
625979
23. > is a sign of
Greater than
24. < is a sign of
Less than or equal to
25. 429+354 =
783
26. The symbol ∴ means
Therefore
27. If a and b are any two whole numbers we have
A+b= b+a
28. L.h.s stands for
Left hand side
29. The number zero is called
Additive identity
30. 102+304=....+102
304
31. 8- ....=8
0
32. Multiplication and division are the ........ Process of each other
Inverse
33. If a,b and c are three whole numbers ,then (axb)xc =ax(bxc) is a
Associative property of whole numbers under multiplication
34. Apply the distributive law to find the value of 6x(5+3)
B:48
35. Apply the distributive law find the value of (9x3)+(9x7)
90
36. The smallest 2-digit number is
B:11
37. 15x7+13x7 =
(15 +13)x7
38. Which of the statement is true
4+(5+2) =(4+5)+2
39. In the process of addition ,tens are added to
Tens
40. X(y+z)=xy +xz is called
Distributive law
41. Enven numbers > 30 but <32 are
31
42. 1,1,2,3,5,8, is known as a
Fiboncii sequence
43. What are some other words for addition? (select all that apply)
Plus
44. Each child has 20 peanuts. If there are 8 children, how many peanuts are there intotal?
160 peanuts
45. 453 x 31
14,043
46. Each day, joe woke up and ran 24 laps on the race track. How many laps would herun in a year?
8,760 laps
47. 111 x 11
1,221
48. 953 x 62
59,086
49. divide 88.8 ÷ 6
14.8
50. 935421×625=?
584638125
51. What is the largest 4 digit number exactly divisible by 88?
9944
52. All prime numbers are odd numbers
False
53. ? + 3699 + 1985 - 2047 = 31111
27474
54. (32323 + 7344 + 41330) - (317 × 91) = ?
52150
55. −88×39+312=?−88×39+312=?
-3120
56. The numbers which have the only two different factors 1 and the number itself iscalled .
Prime numbers
57. The numbers which have more than two factors are calles
Composite numbers
58. A number which is not divisible by 2 is called
An odd number
59. ..............means to express a composite number as the product of its prime factors
Prime factorization
60. Hcf stands for
Higher common factor
61. Lcm stand for
Least common multiple
62. Eratosthenes was a .... ..... Mathematician
Greek
63. Find the greatest number that exactly divides the numbers 60,72,and 96
12
64. Find the minimum length of a ribbon that can be cut exactly into pieces of length ,35cm 49 cm , and 63 cm
2205cm
65. A prime numbers when added to 101 gives an odd prime number .find it
2
66. Find pairs of twin primes between 40 and70
(41,43),(59,61)
67. 67:What is the least capacity of a container that can be filled by the containers ofcapacity 45 dl,18dl and 30 dl ?
60dl
68. The lcm of two numbers is 140 hcf is 5 and one of the number is 20 find the othernumber
35
69. Hcf x lcm=
Axb
70. Are 43416and417812 divisible by 12 ?
Yes
71. The greatest 3-digit number having two divisors 3and 9 is
999
72. What is the index notation of 2x2x2
23
73. The index natation of 7x7x7x7x7
75
74. The expanded form of m3
Mxmxm
75. The hcf of 735,1050,455
35
76. Find the greatest sum of money that is exactly contained in Rs 162,rs 252 and Rs 342
18
77. Find the least number that must be added to 155 so that sum is exactly divisible by12,15,18
25
78. Find the least number that must be subracted from 400 so that the difference exactlydivisible by 18,24,and 30
40
79. How many even numbers are there between 10 and 28
8
80. There are ....methods for finding hcf
3
81. Twin primes differ by
2
82. A number which divides a given number completely is called
Factor
83. Find the least length of a rope which can be cut into pieces of lengths 30m,36mand54m
540m
84. One of the numbers 2,3,4,5,6,8,9,11 does not divide 6480find it
11
85. Two numbers are said to be co prime if their hcf =
1
86. Two prime numbers are called twin primes if they differ by
2
87. Any number lying to the right of 0 is
+ve
88. Any number lying to the left of 0 is
-ve
89. A straight line on which each point represents o number is called
Number line
90. (+30)+(+88)
118
91. (-10)+(-7)+(+3)
-14
92. [(-3)+(-4)]+[(+7)+(-6)]
-6
93. Aman was born in the year 21bc and died in 42a.d find his age
63 years
94. (+70)x(+150)=
+10500
95. When a positive integer is divided by a positive integer the quotient is
Positive
96. When negative integer is divided by a negative integer ,the quotient is
Positive
97. Bodmas rule the o represents
Powers
98. Simplify using bodmas rule: 25 - 48 ÷ 6 + 12 × 2=
41
99. 7 × (15 + 5)=
140
100. 6 + 3 of 7 - 5
22
101. The uppr part in the fraction is called
Numerator
102. The lower part of the farction form is called
Denominator
103. I-5i ……..i3i
<
104. 1x 1 =
1
105. 0.7
7 /10
106. 0.27
27 /100
107. 0.2
1/ 5
108. Factor the following numbers to their prime factors. Is the number prime? 68 =2×2×17
(no)
109. Factor the following numbers to their prime factors. Is the number prime?
(yes)
110. Any number lying to the right of any other number on the number line is
Positive
111. Absoulte value of -7
7
112. absoulte value of a number is its distance from
0
113. positive integers are greater than negative integers and 0.also ,0is greaterthan_____ integer
negative
114. we cannot divide any number by
0
115. in the division process the sign of quotient changes in the same way as in the______of integer
product
116. 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (11 × 24 ÷ 8 × 3 – 69)2} = ?
3841
117. any expression inside the brackets must be done
first
118. the price of 88books is rs 4466.what is the price of one book ?
50.75
119. the average rainfall in acity is9.1cm per month find the total rain fall for 0.75?
81.9
120. ___is neither positive nor negative
0
121. a ratio is a comparison of two same quantities by
division
122. the ratio is written by separating the quantities by a
(:)
123. in the ratio x:y x and y are the ________ of ratio
both a and b
124. in the ratio the first element is called
antecedent
125. the second element of the ratio is called
consequent
126. divide Rs 450in the ratio 2:3
270
127. A student saves 1/4 of his pocket money .what is ratio of his pocket moneysavings?
1:4
128. a girl ‘s mother age is 1/5 of her mother .what is ratio between their ages?
1:5
129. 32:48=
2:3
130. 35:125=
7:25
131. 4:6=y:15
y=10
132. 3 1/5:4 4/5=
2:3
133. What is the ratio of number of triangles to the number of square?4:5
134. What is ratio of number of square to the number of triangle are there ratio equal?5:4
135. An insect travelled what must be added to the product of and make a total of?A B. C. D.
136. A student save of his pocket money what is ratio of his pocket money saving?1:4
137. 5. 0.01 : 0.001=?10:1
138. The LCM of two numbers 35 and 396 is 13860 find their HCF?1225
139. Denomination =?Total number of parts
140. Number = number of partsTaken
141. Amna prepared 3 liters of fruit punch she poured in into 12 glasses of same sizehow much fruit punch was poured in each glass?
A. B. C. D.142. 6 friends have to share 5 apples what is the share of each friend?
A. B. C. D.143. A sum of money is divided between A and B in the ratio 5:4 if A gets Rs 150 what
is the share of B?Rs 240
144. The numbers 6,10,18,30 are called terms ofProportion
145. A proportion is statement sharing that two ratios areEquivalent
146. A proportion 1:7 : : 7:49 7 is called meanExtreme
147. There are type of proportionTwo
148. Find the number n if each of the following ratio is equivalent to 3:5 then n:159
149. C:6=5:30C=1
150. 10:12 = n:6n=5
151. n:6 : : 12:36n=2
152. A worker earn Rs 560 in 4 days. How much will he earn in 14 days?1960
153. A car travels 120 kilometers an hour find the distance travelled by the car in 90minutes?
180 km154. 5 men can dig a well in 21 days how many men are needed to dig the same well in
4 days.15 men
155. which can cannot be term of a ratio?0
156. a:b is equivalent toab
157. Ratio between 12m and 16m is written as.3:4
158. A proportion is the statement such that two_________ are equivalentratio
159. A car is bought for Rs 350,000 if the ratio of cost price to the selling price 5:4what is the selling price?
28,0000160. A rule to simplify the problems is called _________ rule
BODMAS161. __________ Tell how many times a variable is multiplied
Cofficient162. The power of a number or variable is called
Equation163. In least common multiple the smallest number which is exactly divisible by given
Number164. A unit of volume equal to 1
dm3
165. % is a sign ofPercentage
166. “:” is a sign ofRatio
167. {(12.22) x 3.6} 3 =7.32
168. Percentage as a fraction with _______ as denorninater
100169. The word “percent” is derived from the _____ word Per Centum
Latin170. 39. 9% means
0.399171. 12.7 =____ %
1270%172. 0.005 = ___%
0.5%173. 10% of 60 =
6174. Ahmad’s salary is Rs 6,000 he pays 15% for utility bills what is the amount of
utility bills?900
175. 2% of x=402000
176. A shopkeeper offers a 35% discount on a suit if the price of the suit is Rs 2500what will be the discount?
875177. Abdul Rehman obtained 496 marks out of 800 find the percentage of his marks?
62%178. usman saves Rs 600 per month if it is 15% of jis salary find his salary?
4000179. In a school 85% of the students were promoted to the next classes. What is
fraction of the students were failed?15%
180. of the Rs 9600, 8% is spent find the saving?1920
181. 8.6 x 100=86%
182. 0.9 x 100 =90%
183. What percentage of Rs 50 is Rs 10?20%
184. What is 12% of Rs 108?12.96
185. In a basket out of 150 oranges 15 are eaten what % has been eaten?10%
186. In a class out of 60 students 10% students were failed how many students werepassed?
54187. A piece of eleastic 48cm long is stretched to 64cm what % of the original length is
increased?33.33%
188. A set of point with two ends is called?line
189. Two sets having same elementsequal set
190. To arrange given numbers from the highest value to lowest value is calledDescending Order
191. A set having 0 elementsNoll Set
192. The price at which an item is purchased is known asCost price
193. The price at which an item soldSale price
194. C.P stands for?Cost price
195. S.P Stands for?Selling price
196. If the selling price of an article is more than its cost price the manufacture willmake a?
Profit197. If the selling price of an article is less than its cost price the manufacture will
suffer a?Loss
198. Profit = ?S.P – C.P
199. Loss = ?C.P – S.P
200. Formulae of profit %?profit/c.p x 100
201. Loss %?loss/c.p x 100
202. S.P =?C.P + Profit
203. S.P =?C.P – Loss
204. M.P stand for?Marked price
205. The difference between marked price and selling price is called?Discount
206. Discount =?M.P – S.P
207. Discount =?discount/ price x 100
208. Aqeel bought a book for Rs 200 he sold it for Rs 215 find his profit?Rs 15
209. Ahmed bought a book for Rs 200 he sold Rs 215 find the profit %?7.5%
210. Sana bought a tricyle for Rs 450 after some months she sold it for Rs 360 find herloss?
Rs 90211. Sana bought a tricyle for Rs 450 after some months she sold it for Rs 360 find her
loss %?20%
212. Ahmed lost Rs 25 by selling a wrist watch at Rs 150 find its cost price?Rs 175
213. 10 x 100 =?10%
214. C.P = 120 S.P = 132 Profit =?Rs 12
215. C.P = Rs 50, S.P = 45, Loss =?Rs 5
216. C.P = 50, Profit = 3, Then profit %?6%
217. How many three makes 27?9
218. how many wheels an 18 cars?72
219. There are 46 children in the school bus 15 are girls how many are boys?31
220. There are 226 shops in a market 14 do not use plastic bags how may shops useplastic bags?
12221. Fraction with the same denominator are called?
like fraction222. 3674 + 2186 =?
5860223. 1000m =?
11km224. 3800 19 =?
200225. if one crore equal _______ million ten crores equal ______ millions?
10, 100226. Which bracket solved first?
{ }227. 28 + { 3.61 – (1.12 + 2.34)}
2.95228. Area of rectangle =?
L x B229. The area of right- angle triangle =?
(LxB) unit2
230. The area of any triangle?(LxB) 2
231. We can write one cubic centimeter =?km3
232. Volume =?
(LxB) x H233. 1 liter =
1000 ml234. 1 cm3 =?
1 ml235. 981 6 =?
153236. There are _______ degrees in a complete turn?
360o
237. 236. Circle =?270o
A238. X .R
B CPoint R is in the.Interior
239. 0.64 / 0.41.6
240. 0.72 / 0.61.2
241. Dividing by is the same as multiplying by2
242. If the product of two numbers is 756 and their HCF is 6 their 1 cm will be?126
243. 4000 – 1828 =?2177
244. What is the Roman number for 18?XVIII
245. There are 6 spider webs 7 insects are trapped in each web how many insects aretrapped altogether?
42246. There are 168 hours in a weak how many hours are there in 25 weaks?
8736
247. , The 7 is called?Quotient
248. , 42 is called?Dividend
249. , 5 is Called?Divisor
250. 524 /4 =?131
251. a.m stand for?Ante Meridiem
252. p.m stand for?
Post Meridiem253. Five hourse before noon?
7 am254. Half an houre before noon?
11:30 am255. There are ____hours in each day?
24256. The short hand on a clock measures the?
Hours257. The short hand on a clock is also called?
Hour hand258. 5 minutes + 25 minutes =?
30mints259. 12 days = ______ hours?
288260. Rs 2 and 5 paise =?
Rs 2.05261. Rs 2 and 50 paise =?
2.50262. 14.00 x 2 =?
28.00263. Position of 4 in the number 324901 is?
Thousand264. a set of natural numbers with 0 added to becomes set of whole numbers?
true265. position of 8 in the number 859,637 is
lakh266. 1 million is equal to how many lakh?
1 million = 10 lakh267. The positive factors of 12 are?
1,2,4,6,12268. Evaluate 2 + 7 x 9
65269. Which of the following numbers 3294 divisible by?
all the above270. GCD stands for?
greatest common divisor271. The HCF is also called?
GCF272. HCF of 2000 and 3000 is?
1000273. what is the smallest number which must be added to 1000 to make is divisible by
300?200
274. out of the LCM and HCF of any pair of number which of the followingstatement is true
HCF < LCM, HCF = LCM and LCM > HCF
275. The smallest number divisible by 2,3 and 5 is?30
276. 30% of 200600
277. 20/100=1/5 as a percentage =?20%
278. 50/100=1/2 as a percentage =?50%
279. 0.35 as a percentage =?35%
280. profit and loss can also be calculated as a % ofCost price
281. a man bought a transistor for 720 and sold it for Rs 810 find his profit?Rs 90
282. Nadra bought a doll house for Rs 572 and sold if for Rs 520 express it as a %?9.90%
283. Sale = 8400, expense= 3350, profit =?1450
284. the principal is the _______ saved in a book?Money
285. __________ is the money earned on the principal?Simple interest
286. S.I stand for?Simple interest
287. The formula of S.I?P + S.I
288. if 100% = 120 then?70% = Rs 84
289. if 75% of pupils in a class of 40 passed in a science test how many of them failed?10
290. pizza palace sold Rs 24000 worth of pizzas in two days the cost of those pizzaswas 20,000 the profit % was?
5:6291. David pays back his loan of Rs 1000 borrowed at 10% per anum simple intrest he
will pay back Rs 1100 at the end of how many years?1 year
292. loans can be given for less than 1 year or more than 1 year?True
293. A sentence is a set of ___________ or symbols that conveys some meaningWords
294. A sentence that is either true or false is known as a?Statements
295. The book is too long! Such sentence is called?Open statements
296. a variable is a symbol that represent a quantity the value of which is not?
Known297. a trem that has a fixed value and appears separately from a variable is called?
constant298. the number or letters separated by operators in an algebraic expression called?
terms299. the symbol or number oppearing before the varaible used in algebra trem is
called its?cofficient
300. in algebra _______ terms can be added together to give a single term but_________ terms can be added?
A. like , unlikeB. like > unlike C. like, number D. +, -301. 2a - b from 3a + 2b =?
a + 3b302. add 2a + 2b – 5c , a – b + c =?
3a + 2b – 4c303. add 4x2 – 3xy + 2y2 , x2 + 2xy – y2 , -3x2 – xy + 2y2 =?
2x2 – 2xy + 3y2
304. subtract 2a + 3b + c from 3a + 5b + 7c?a+ 2b +6c
305. the process of substituting numbers for variables in an algebraic obtain the answeris called?
evolution306. x + 2 = 5 is a ?
linear algebraic equation307. when 4 is subtracted from a number the result is half the number find number?
8308. 4a + 8 = 24 then the value of x is?
4309. 5x + 7 = 2 (x+2)
x = -1310. sana is senior to mona by 18 years after 6 years sana will be twice as old as
mona find mona’s %12
311. the sum of three consecultive even integers is 36 find the smallest of them?10
312. a surface is a flat and goes on to infinity in alldirections
313. a _________ has no, length, breath or heightpoint
314. an unlimited number of line can be drawn through a _________point
315. three or more points lying on the same straight line are known as __________point
collinear316. the point not lying on the same straight line are known as ________ point
non- collinear
317. the line which do not pass through the same point are called _____ pointsnon-conurrent
318. a plane is a ____________ dimensional surface that has length and breadth2
319. a solid cube has _____ dimensions3
320. many circles drawn arounf the same center are called concentric circleTrue
321. parallel linesnever meet
322. a solid cube has3 dimensions
323. a line and a line segment refer to the same straight linefalse
324. a line segment be longer than a linenever
325. which of the given angles cannot be drawn by a pair of set square15o
326. a protractor is used to measureangles
327. which of the following is not an acute angle90o
328. which of the following is an obtuse angle130o
329. a shirt with a marked price of Rs 450 was sold 375 .find the discount which isallowed on the shirt
R75, 16.7%
330. Two right angles from a straight angle
false
331. a triangle has ______ components
6
332. a scalene triangle has all three sides
unequal
333. the angle which is opposite the base is called
vertical angles
334. a triangle that has one angle equal to 90 is known as a
right angled triangle
335. a scalnene triangle can also be an equilateral triangle
flase
336. A right isoscales triangle has one right angle and two angles 45o each
true
337. an exterior angle of a triangle is bigger than the sun of the oppsite interior angle
flase
338. if the area of a rectangle is 91cm2 ehat are measurments of its length and breadth
l=13cm ,b= w=7cm
339. the perimeter and area of a square will always have the numerical value
true if each side of a square is 4 u units
340. the length of a swimming pool twice its width if width is 8m
total edge around the pool = 2x16 =128m2
341. if the length and breadth of a rectanle are doubled are the rectangle becomes 4times as large
true for some rectangle
342. if the length of a small box is12cm its breadth is 5cm and its height is 6 cm whatis its volume
360cm
343. The amount of space of 3d object occupies is the same as its capacity
true
344. if a cuboid has a volume of 40 cubic units thenthe value ohf the sides a,b,and c are
all above
345. if the dimensions of cuboid are 1cm ,2cm and 3cm respectively and dimensionsare increased three times eachj what will be the volume?
27times the original
346. find the volume l=12cm,b=10cm ,h=8cm
960cubic cm
347. which number gives -2/7 when added to 4/7?
-34 / 35
348. which of these is not a subset of rational numbers
Irrational numbers
349. which property is represented by the following a-b "≠" b-a?
cumulative property of subtraction
350. which of the following fractions is greater than 5/7?
8/9
351. what is 35.6 round off to the nearest whole number?
36
352. which of these gives a terminating decimals
5/10
353. which of these recurring decimals
2.474747…
354. 71.9856 round off of the decimals places is
71.986
355. decimals are fraction with denominators as
power of 10
356. 15 /8 is same as
1.875
357. 0.8 written as a regular fraction
8/10
358. what must be added to sum of4.15 and 66.009 to get 100
29.84
359. Find the product of 2.33and 5.66 correct decimals place
13.188
360. what is the square root of 144
12
361. which of these is not a perfect square
14
362. f a square board contains 49 squares how many squares contained in a
7
363. what will be the unit digit digit of the square root of a perfect square ending
2 or 8
364. what is square root of 1024?
32
365. the square root of 2.25 is
0.015
366. the square of 1.7x34x0.8 is
6.8
367. what is the product of x2and x5
x7
368. what is the value of(1212x1210)/128
1214
369. which of the following is equal to 1?
132o
370. the value of (22)2 is
16
371. evaulate -2x 0+(-2x)0
-1
372. x+(a+b)x+ab=
(x+a)(x+b)
373. a2+2ab+b2=
(a+b)2
374. a2-2ab+b2=
(a-b)2
375. a2-b2=
(a+b)(a-b)
376. 52 men have provisions that last for 3 days how many days will provisions last for39 men
4
377. a car can travel 120km in 1 1/2 hours, how far will it be traveling in 5 hours
400km
378. if two men can complete a job in 6 hours, how long will it take three men tocomplete is
4 hours
379. what type of tax zakat is
wealth
380. what interest on 20000 if the interest rate is 15%
3000
381. what is markt price of an item that has a selling price of 800 after discount of 12%
909
382. if jamil borrows Rs 500 at 5% interset to paid in 2 years how much will be have topay
550
383. Which of these taxes is applied only on Muslims
ushr
384. A man buys a tv at Rs 15000 and sells it at a profit of 10% its selling price is
16500
385. manju bought a piece of cloth at Rs 40 per meter she sold 10 meters for Rs 360 .Calculate her gain or loss
10%gain
386. A man gets an interest of 370 on Rs.2300 for 2years his rate of interest is
8.04%p.a
387. how much time will it take for a sum of Rs400 to yield Rs 80 as interest at 4%
5 years
388. expand and simplify (x+3y)2+(3x-y)2
10(x2+y2)
389. find the value of the expression x+y/4 -9/2zwhen x=2,y=4,z=-3
0
390. simplify (p+q)(p2+q2)(p4+q4)(p-q)
(p8-q8)
391. factorize 2x-4
(x-2)
392. factors of x+xy+2y+2y2
(1+y)(x+2y)
393. 9a2-4 after factorization gives
(3a+2)(3a-2)
394. the sum of three consecutive multiples of 9 is 81 the lowest of them is
18
395. if 6x=(141)2-(109)2then the value of x is
500
396. Rehana has some money after she spend Rs15 she has three quarters of the initialamount left the left is
Rs.45
397. the value of x3+x2-x=10 if x=
x=2
398. what type of angle id formed by two perpendicular lines
900
399. what is size of the angle between two parallel lines
00
400. which of these angles are always equal?
supplementary angles
401. which of the given statement is true for parallel lines
the distance between them the same
402. identify the pair of angles which are supplementary and vertically opposite
900,900
403. which of the following angles is an obtuse angle?
5/6 of 1800
404. the angles x and 900 -x are
Complementary Angles
405. which of the following properties of congruent triangles is incorrect?
angle-angle-angle
406. the sum of the angles in a quadrilateral is
3600
407. A quadrilateral is parallelogram if two pairs of opposite sides are parallel and
Equal
408. which of these is a quadrilateral
square
409. which of these is not a parallelogram
trapezoid
410. what is the sum of the angles in a rhombus?
3600
411. which of these is obtained when a parallelogram is divided by a diagonal?
two congruent triangles
412. which of these fiures has four equal sises
Rhombs
413. 461.
In the given shape the sum of interior angles is
7200
414. in the parallelogram ABCD m<D=400 the value of the other
m<B=400 ,m<c=1400 ,m<d=1400
415. ∏=
22/7
416. ∏=
3 .142
417. if the base of triangle is 5cm and its height is 7cm what is its area?
35cm2
418. if the diagonals of a rhombus measure 8cm and its height is9cm what is its area?
36cm2
419. What is the area of a rectangle with length 30cm and with breadth 5 more thanhalf of its length?
600cm2
420. if each side of an equilateral triangle is 3.5cm what is its perimeter
10.5cm2
421. the diameter of a circle is 4cm its radius is
7cm
422. the circumference of a circle is given by the formula
2∏r
423. If the circumference of a circle is 154cm2and its radius is
7cm
424. which is these is not part of a bar graph?
sector
425. how many degrees are there ina pie chart
3600
426. √4 =
(4)1/2
427. 24)2
576
428. √48=
4√3
429. 3√0.008
0.2
430. Square root of 1038361 contains _____ digits
4
431. square root of a number which is non-perfect square is
non-termination and non-recurring
432. 4096 is a perfect
square
433. in 3√27 27 is called the
radicand
434. 1+2+3+4+5+4+3+2+1=
52
435. √2 is
an irrational number
436. square root of 1.44is
1.2
437. square root of 20857489 contains ____ digits
4
438. cube root of 216 is
6
439. 1+2+3+2+1=
32
440. square root of 36/100 is
0.6
441. find the square root by factorization method of 625
25
442. area of recangle field is 2450m2 the length of the field is twice its width find theperimeter of the field
210m
443. In decimal system number of digit are
10
444. the number system with base 2 is known as the
Binary system
445. 27 is equal to
(10101)2
446. (101)2-(11)2 is equal to
(10)2
447. in octal number system the digit are
0,1,2,3,4,5,6,7
448. in the binary system digits are
0,1
449. (110101)2+(101011)2
(1100000)2
450. a___ is a place for keeping, lending and exchange money
bank
451. a credit card is need to operate an account form___
ATM
452. islamic banking prohibits the payment and collection of _____
interest
453. the tax imposed on income is called ___
Income tax
454. the concession on a written price is called
discount
455. if the US $rs0.34 THEN 15us$=
1551
456. IF the p=14500; r=6% to 4 years then I =
3480
457. IF ANNUAL TAX ABLE INCOME OF A PERSON IS 90000 then 6%theincome tax is
5400
458. cost price of a car is 500000 and sold at 10%profit the selling price of car is
550000
459. the rate of income tax is 0%where the taxable income does not exceed
400000
460. the polynomial whose degree is one is known as ______ polynomail
linear
461. a polynomial a4 -b4 is a ___ polynomial
Biquadratic
462. a polynomial with degree ____ is known as a cubic polynomial
three
463. the common difference ion sequence -3,0,3,6,9….
3
464. a polynomial is called linear if its degree is
1
465. the degree of polynomial x8+7 is
8
466. in a2+ab+b2 number of variable are
2
467. multiplication of (x-2) and (x+3)
X2+x-2
468. subration of x3+2x2+3 from x4+9 is
X4-X3-2X2+6
469. A2-49=
(A-7)(A+7)
470. 4X2-12+9
(2X-3)(2X-3)
471. IF X-1/3= 3 then the value of x 2+1/x2 is
13
472. (x+2)3is
X3+8+6x2+12x
473. the two linear equations in two unknown variables have
Only one solution
474. eliminate b from the equation a+b=9 and a-b =5
2a=17
475. eliminate a from equation 4a+2b=22 and 5a-b =10
14b =17
476. eliminate s from the equation 2s-3t =9 and s+2t =29
7t=49
477. A polygon with five side called
Pentagon
478. A polygon with six side called
Hexagon
479. a polygon with 7 side called
Heptagon
480. A polygon with 7 side called
Octagon
481. in a kite diagonal are
Unequal
482. in a hexagon each interior angle is
1200
483. in a right-angled triangle one of its angle must be
900
484. in a pentagon each interior angle is
1080
485. 382.in a square each interior angle is
900
486. the line which meets a circle at any one point is called
tangent
487. if a line passes through two or more given lines a different point called a
Transversal
488. Hero’s formula of area of triangle =
√s(s-a)(s-b)(s-c)
489. surface area of the sphere =
4πr3
490. ________is a solid region
Cone
491. total surface area of right circular cone
πr(l+r)
492. volume of a right circular cone=
1/3πr2h
493. frequency is denoted by
ƒ
494. arithemetic mean is=
sum of values/number of values
495. mode is denoted by
M
496. A table that contains values and their frequency is called____Frequency
497. the presentation of the frequency distribution in a vertical bar with no space iscalled
Histogram
498. in a right angled triangled ratio of sinɵ
1/cosecɵ
499. sin (900-ɵ)is equal to
cosɵ
500. 548.cosec 450
√2
501. sec 450
√2
502. the mean of the data 4,5,8,7,8,4is
B.6
503. the mode of the data 2,3,5,6,4,6,7,8,6 is
6
504. the upper-class boundary of 41--50 is
50.5
505. if two or more values occur with the same frequency then each is called a
Mode
506. In the data 4,7,12,15,22 the median is
20
507. in the class 50.55--55.5 the lower class boundary is
50.5
508. In addition and subtraction of two integers , sign of the answer depends upon
Greater numerical value
509. Sum of two negative number is always
Negative
510. Sum of two Positive number is always
Positive
511. Sum of – 36 and 29 is
-7
512. Sum of 19 and 21 is
40
513. Which of the following statement is false:
5 + 1 = 4
514. The pair of integers whose sum is 5
3 , 2
515. What integers or number should be added to 5 to get 4
9
516. What will be the additive inverse of 5
5
517. What will be the additive inverse of 7
7
518. Predecessor of 9 is
10
519. Successor of 1 is
0
520. The value of 6 ( 3 ) is
9
521. . The value of 26 30 is equal to
4
522. Which of the following statement is true
7 4 > 4 7
523. Choose appropriate number for blank: 7 ( __ ) = 2
9
524. Multiplication of 3 and 4
12
525. Multiplication of 2 , 7 and 10 gives
140
526. Multiplication of 2 , 5 and 0 gives
0
527. Identify the property used in the following:
2 13 + 8 13 = ( 2+8 ) 13
Distributive
528. Which number is multiplicative identity for the whole numbers
1
529. What will be multiplicative inverse of – 8
8
530. Which property is reflected in the following:
7 5 = 5 7
Commutative
531. 18 ÷2 gives
9
532. – 6 ÷( 3 ) gives
2
533. 15 divided by 3 is equal to
5
534. 0 ÷ 10 gives
0
535. Which of the following is not true
12 ÷ 0 = 12
536. Which of the following is true
0 ÷ 3 = 0 ÷ 5
537. Which of the following does not represent pair of integer (a, b) such that a ÷ b= 2
( 2 , 1)
538. On dividing a negative integer by another negative integer, the quotient will be
Always positive
539. Which of the following statement is true
0 ÷ 7 = 0
540. Product of two negative integers is always
Always positive
541. The integer whose product with 1 is 40 is
40
542. Absolute value of 11 is
11
543. 8 (10) 9 is equal to
720
544. 16 (10) + 2 is equal to
162
545. 16 ( 1) is equal to
16
546. 125 ÷ ( 25 ) is equal to
5
547. ( 50 ) ÷ ______ = 1 , number in the blank will be
50
548. The mean of the first five whole number is _______ .
5
549. A cricketer scores the following runs in eight innings :
58 , 76 , 40 , 35 , 46 , 45 , 0 , 100
What will be their mean score ?
200
550. What will be the range of following data ?
32 , 41 , 28 , 54 , 35 , 26 , 33 , 23 , 38 , 40
31
551. The tally mark shows frequency _______ .
5
552. Which observation in the following data has maximum frequency? 1 , 1 , 2 , 4 , 3 ,2 , 1 , 2 , 2 , 4
2
553. The tally mark shows frequency ________ .
none of these
554. The mode of the data 2 , 2 , 2 , 3 , 3 , 4 , 5 , 5 , 5, 6 , 6 , 8 is ___________ .
2 & 5 both
555. A data can have _________ mode.
more than one
556. Median of the data 13,16,12,14,19,12,14,13,14 is _____.
1 4
557. Mode and median of the data 13,16,12,14,19,12,14,13,14 are:14 & 14
558. Median of the data 9,8,1,2,3,6,7,5,4 is ----5
559. The perimeter of regular polygon isno. of sides lengths of one side
560. If the area of rectangle increases from 2 cm2 to 4 cm2 the perimeter willincrease
561. The area of a square whose perimeter is 4 m1 m2
562. Which figure encloses more area: a square of side 2 cm; a rectangle of side 3 cm& 2 cm; An equilateral triangle of side 4 cm
triangle563. The area of rectangle whose length is 15 cm & breadth is 6 m
90 cm2564. In the figure is isosceles AE = 6 cm, BC = 9 cm, the area of is
27 cm2565. The area of parallelogram is
base x height566. Which of the following has the formula = Base x Height
area of parallelogram567. The area of triangle is
½ x base x height568. If the area of the triangle is 36 cm2 and the height is 3 cm, the base of the triangle
will be24 cm
569. The distance around a circular region is known as itscircumference
570. The perimeter of square of side 2.5 m is10.2 m
571. The perimeter of rectangle of length 1.5 cm & breadth 2 cm is7 cm
572. The area of parallelogram whose base 6 cm & altitude 7 cm is18 cm
573. The height of parallelogram whose area is 35 cm2 and altitude 7 cm5 cm
574. In fig. the length of the altitude DF will be14 cm
575. Area of triangle whose base is 15 cm and corresponding altitude is 6 cm will be45 cm2
576. Q.624.Find the area of a right triangle whose base is 3 cm, perpendicular is 2 cmand hypotenuse are 5 cm.
7.5 cm2577. Q.625What will be the area of circular button of radius 7 cm
154 cm2578. The circumference of circle whose diameter is 14 cm will be
44 cm2579. The perimeter of circle is its
circumference580. Diameter is __________ .
twice radius581. ᴫ (pi) is
ratio of circumference to diameter582. If the radius of pipe is 1 cm , the circumference of pipe will be
6.28 cm583. The circumference of a circle is
ᴫ 2r584. The diameter of a circle is
2r585. Which of the following is an example of circle?
a bottle cap586. The area of a circle is
ᴫ r2
587. 1 m2 = __________ .10000 cm2
588. One hectare is equal to10,000 m2
589. The circumference of a circle with radius 7 cm is44 cm
590. The value of constant ᴫ is22/7
591. In fig. the area of larger rectangle is 1750 m2 and the area of smaller rectangleis 1350 m2
400 m2
592. In fig., the area of rectangular sheet is 50 cm2 and the area of circle inside thesheet is15 cm 2 cut from the sheet, then the area of remaining sheet will be
35 cm2
593. Write the expression for the statement: the sum of three times x and 113x+11
594. Write an expression: Raju s father s age is 5 years more than 3 times Raju s age. IfRaju’s age is x years, then father’s age is
3x+5595. Identify the coefficient of x in expression 8-x+y
-1596. The number of terms in 4p2q -3pq2+5 is
3
597. The expression for sum of numbers a and b subtracted from their product isab-(a+b)
598. The sum of mn+5-2 and mn+3 is2mn+6.
599. What is the statement for the expression 3mn+5number 5 added to 3 times the product of m and n.
600. The constant term in the expression 1+x2+x is1
601. The coefficient of y3 in the expression y – y3 + y2 is-1
602. The number of terms in the expression1.2ab – 2.4 b + 3.6a is
3603. What is the numerical coefficient of y2 in the expression 2x2y – 15xy2 +7y
-15604. The expression x +y – xy is
Trinomial605. The expression xyz is
Monomial606. From the following expressions 10pq, 7p, 8q, -p2q2, -7pq, -23, ab,3a,b.The like
terms are10 pq, -7pq
607. From the following expressing 3ab,a2,b2,a,5ab,-2ab,2a2 the three terms are3ab,a2,b2
608. Sum of 3m and 2n is3m+2n
609. Sum of xy, x+y and y+ xy is2xy +x+y
610. The value of 21b-32 + 7b – 20b is8b - 32
611. Subtract a –b from a+b the result is2b
612. Subtracting -5y2 from y2 ,the result is6y2
613. The value of expression 5n – 2, when n= -2 is-12
614. The value of expression 7a-4b for a=3,b=2 is13
615. When x-0,y= -1,then the value of expression 2x+2y is-2
616. Factors of the term 15x2 in the expression 15x2 -13x are15,x,x
617. Factors of the terms -4pq2 in the expression 9p2q2 -4 pq2 are-4,p,q,q
618. If the length of each side of the equilateral triangle is l, then the perimeter of theequilateral triangle is
3l619. Which of the following is monomial
2x620. Which of the following is trinomial
5a 7
621. Terms with factors y in the expression 8 + xy + xyz arexy, xyz
622. Identify the terms in the expression x+y+1 which are not constantx,y
623. The value of expression 4x 3 at x=2 is5
624. The value of expression 5n2 + 5n 2 for n= 2 is8
625. The value of expression 2a2+2b2 ab for a=2, b=1is8
626. The value of x+7+4(x 5) for x=2 3
627. The value of expression 2a 2b 4 5+a at a=1, b=-2-2
628. What must be subtracted from 2a+b to get 2a b2b
629. What must be added to 3x+y to get 2x+3y x+2y
630. Subtract a+2b from sum of a b and 2a+b2a 2b
631. On simplifying (a+b-3) – (b –a +3) + (a b+3) the result is3a b 3
632. What should be value of ‘a’ if y2+y – a equals to 3 for y=1 1
633. Simplify 22
4
634. The Exponent in the expression 37 is _______ .7
635. The value of 30 is ________ .1
636. Multiplicative inverse of 1 / 7 is _________ .7
637. Fill in the Blank am ÷ an = a........ Where m and n arenatural numbers:-
m - n
638. Express ( 2a )4 in exponential form.16a4
639. The value of 1/32 is equal to __________ .1/9
640. 15/8 is same as1.875
641. In simplified form ( 30 + 40 + 50 )0 is equals to1
642. Find the value of ( 2/3 )2
4/9
643. In standard form 52,00,00,000 is equal to5.2 x 108
644. Usual form of the expression 104 is given by10,000
645. 1 micron is equals to ______________ .1/1000000 m
646. The approximate distance of moon from the earth is 384,467,000 m and inexponential form this distance can be written as _______________ .
3.84,467 x 108m647. 7 x 10-5 m is the standard form of which of the following ________ .
0.00007 m
648. The standard form of 4050000 is given by4.05 x 106
649. Which one of the following is the value of 1151
650. Fill in the blank :( -1 ) even number = _____________ .1
651. Fill in the blank : (-1)odd number = .-1
652. Value of ( 30 + 20 ) x 50 is2
653. The value of 72 is ___________ .49
654. The Base in the expression 810 is .8
655. The value of 1000 is ________________ .1
656. Find the number from the following expanded form :180046+180046+180046+180046+180046900230
657. Value of (23 )2 is given by ______________ .64
658. In exponential form 140,000,000,000 Kg is given by1.4 x 1011 Kg
659. The expression , ( 52 + 72 + 32 )0 is equals to1
660. In standard form 56700000 is written as5.67 x 10⁷
661. Usual form of the expression 9 x 10-5 is given by
0.00009
662. The number 86,800,000,000,000,000,000,000,000 Kg is equal to_________________ .
8.68 x 1025 Kg
663. Charge of an electron is 0.000,000,000,000,000,000,16 coulomb and inexponential form it can be written as. _______________________
1.6 x 10-19 coulomb
664. 13 x10-7 Km is the standard form of which of the following___.0.0000013 Km
665. The standard form of 9,030,000,000 is given by9.03 x 109
666. Which one of the following is the value of 35243
667. Find the value of 50 70 301
668. 64 in exponential form is _____________ .26
669. The value of 20 30 40 is1
670. A line that intersects two or more lines at distinct points is calledtransversal
671. If two adjacent angles are supplementary, then they form ________.Corresponding angles
672. If two angles are supplementary then the sum of their measures is.360o
673. If two angles are complementary, then the sum of their measures is.90o
674. If two lines intersect at a point, then the vertically opposite angles are always________ .
equal
675. Two angles forming a linear pair are ________________.equal
676. How many medians a triangle can have?
3
677. A/an _____________ connect a vertex of a triangle to the mid point of theopposite side.
median
678. The sum of the lengths of any two sides of a triangle is ____________the thirdside of the triangle.
greater than
679. Which pair of following angles are complementary ?70 o, 20 o
680. Which pair of following angles are supplementary?50 o, 130 o
681. What is complement of 63 o?27 o
682. In the Pythagoras property, the triangle must beright angled
683. Laura has a board that measures 6 11/12 feet in length . She will cut the board intopieces that are each 11/12 foot long . How many full pieces can Laura cut from herboard, and how much of her board will be remaining?Laura can cut the board into 7 pieces with 1/2 foot remaining .
684. Joe has a picture that measures 8 centimeters by 12 centimeters . He creates fourenlargements of the picture . The table below shows the width and the length of eachenlargement .
Joe’s Picture EnlargementsWidth (cm) Length (cm)10 1512 1820 3025 37.5
What is the constant of proportionality between the width and the length of thepictures?1 .5
685. Look at the chart of car sales.
686. Which make of car was the most popular?Nissan
687. Which 2 makes of car sold over 150 each?Vauxhall and Peugeot
688. Which was the lowest selling make?Jaguar
689. We collected data about the color of shoes worn by 30 adults in a group. From thebar chart, find the second most popular color of shoes amongst men?
Red690. From the bar chart, find the second most popular color of shoes amongst women.
Brown
691. From the bar chart, how many adults wore white shoes?2
692. From the bar chart, find the total number of women who took part in the survey ofshoe colors.
13693. Triangle ABC is similar to triangle DEF. What is the length of DE, if AB = 4.5 cm,
BC = 6 cm and EF = 3 cm?
2.25 cm
694. The pyramid in the figure below has a base in the shape of a rectangle with thelength of 12cm and the width of 6.5cm. The height of the pyramid is 7cm. What is thearea of the geometric shape ABCD that results from the intersection of the pyramidwith a plane parallel to the base? The distance between the base of the pyramid andthe parallel plane is equal to half of the height of the pyramid.
19.5 square centimeters
695. Which of the following numbers is closer to the area of a circle with a radius of2.1?13.85
696. The ratio between the volume of a cube and the surface area of the same cube is:proportional to the length of its sides
697. The square S in the figure below has its sides measuring a inches. What is thewidth of the rectangle R if the length of R is 2a and the areas of the square S and therectangle R are equal?
a/2
698. What is the area of right trapezoid ABCD in the figure below, if the area of theright triangle ABD is 12 square centimeters, and triangle BCD is isosceles?
36 square centimeters