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All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 11 of 78

201. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.

  • A. 200 sq cm
  • B. 72 sq cm
  • C. 162 sq cm
  • D. Cannot be determined

Explanation: The rectangle's area is length x breadth = 480 sq.cm, but this does not determine its perimeter because many length and breadth pairs have…

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Correct answer: Cannot be determined

202. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.

  • A. 18 : 5
  • B. 7 : 16
  • C. 5 : 14
  • D. None of these

Explanation: The square's side is √4096 sq.cm = 64 cm. The rectangle's length is 2 x 64 cm = 128 cm and its breadth is 64 cm - 24 cm = 40 cm, so…

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Correct answer: None of these

203. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?

  • A. Rs. 3642.40
  • B. Rs. 3868.80
  • C. Rs. 4216.20
  • D. Rs. 4082.40

Explanation: The original length is 1.44 x 6 m = 8.64 m. The new dimensions are 8.64 x 1.40 = 12.096 m and 6 x 1.25 = 7.5 m, so the area is 12.096 x…

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Correct answer: Rs. 4082.40

204. The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?

  • A. 27 m
  • B. 24 m
  • C. 18 m
  • D. 21 m

Explanation: An increase of 200% means the length is 300% of the breadth, so length = 3 x breadth. The painted area is Rs. 324 ÷ Rs.

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Correct answer: 18 m

205. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?

  • A. 8.5 m
  • B. 17 m
  • C. 34 m
  • D. 51 m

Explanation: Let the breadth be b m, so the length is 3b m. Then 3b2 = 867 m2, giving b2 = 289 m2 and b = 17 m.

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Correct answer: 17 m

206. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

  • A. 8
  • B. 12
  • C. 6
  • D. 2

Explanation: If the sides are a and b units, the square on the diagonal has area a2 + b2, while the rectangle has area ab.

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Correct answer: 2

207. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

  • A. 1 : 96
  • B. 1 : 48
  • C. 1 : 84
  • D. 1 : 68

Explanation: Write the sides as 4x cm and 3x cm. Since 12x2 cm2 = 6912 cm2, x2 = 576 cm2 and x = 24 cm, so the breadth is 72 cm; therefore breadth:area…

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Correct answer: 1 : 96

208. Find the area of a parallelogram with base 24 cm and height 16 cm.

  • A. 262 cm2
  • B. 384 cm2
  • C. 192 cm2
  • D. 131 cm2Islamic Studies Quiz

Explanation: The area of a parallelogram is base x perpendicular height. Thus area = 24 cm x 16 cm = 384 cm2.

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Correct answer: 384 cm2

209. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

  • A. 225 cm2
  • B. 275 cm2
  • C. 285 cm2
  • D. 315 cm2

Explanation: The area of a trapezium is 1/2 x (sum of parallel sides) x height. Therefore area = 1/2 x (20 cm + 18 cm) x 15 cm = 285 cm2.

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Correct answer: 285 cm2

210. Twelve inches equal to how many centimeters?

  • A. 30.48
  • B. 29
  • C. 34.12
  • D. 24

Explanation: The exact conversion is 1 inch = 2.54 cm. Therefore, 12 inches = 12 inches x 2.54 cm per inch = 30.48 cm.

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Correct answer: 30.48

211. 1 inch is equal to__________?

  • A. 2.4 cm
  • B. 2.5 cm
  • C. 2.54 cm
  • D. None

Explanation: The standard exact conversion is 1 inch = 2.54 cm, so the correct value is 2.54 cm.

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Correct answer: 2.54 cm

212. What is the Arithmetic Mean of the following data 3,6,9,12,15.

  • A. 7
  • B. 9
  • C. 12
  • D. 8

Explanation: The arithmetic mean is found by adding the values and dividing by their count: (3 + 6 + 9 + 12 + 15) / 5 = 45 / 5 = 9.

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Correct answer: 9

213. Calculate the Average of 1,2,3,4,5.

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation: The average equals the total divided by the number of observations. Here, (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

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Correct answer: 3

214. In two successive years, 100 and 75 students of a school appeared at the final examination. Respectively 75 % and 60 % of them passed. The average rate of pass is:_________?

  • A. 68 4/7 %
  • B. 78 %
  • C. 80 %
  • D. 80 4/7 %

Explanation: The first year had 100 students × 75% = 75 passes, and the second had 75 students × 60% = 45 passes.

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Correct answer: 68 4/7 %

215. The temperature at noon in LHR ,Pakistan was 6 deg on Monday ,4deg on Tuesday,2deg below zero on Wednesday,3deg below zero on Thursday, 0 deg on Friday ,3 deg on Saturday ,and 6 deg on Sunday. What was the average temperature at noon for the week ?

  • A. 14 deg
  • B. -2 deg
  • C. 2 deg
  • D. 7 deg

Explanation: The weekly temperatures are 6, 4, -2, -3, 0, 3 and 6 degrees, whose sum is 14 degrees.

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Correct answer: 2 deg

216. A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

  • A. 47.5
  • B. 50
  • C. 45
  • D. 40

Explanation: For equal distances, average speed is total distance divided by total time, not the ordinary average of the speeds.

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Correct answer: 40

217. A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

  • A. 11.2 kmph
  • B. 10 kmph
  • C. 10.2 kmph
  • D. 10.8 kmph

Explanation: Total distance is 10 km + 12 km = 22 km, while total time is 10/12 h + 12/10 h = 61/30 h.

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Correct answer: 10.8 kmph

218. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?

  • A. 53.33
  • B. 54.68
  • C. 55
  • D. None of these

Explanation: Use total marks divided by total students: (55 x 50 + 60 x 55 + 45 x 60) marks = 8750 marks, and total students = 55 + 60 + 45 = 160.

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Correct answer: 54.68

219. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

  • A. 47.55 kg
  • B. 48 kg
  • C. 48.55 kg
  • D. 49.25 kg

Explanation: The total weight of the 16 boys is 16 x 50.25 kg = 804 kg, and that of the 8 remaining boys is 8 x 45.15 kg = 361.2 kg.

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Correct answer: 48.55 kg

220. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___________?

  • A. 17 kg
  • B. 20 kg
  • C. 26 kg
  • D. 31 kg

Explanation: The combined weight of A, B and C is 3 x 45 kg = 135 kg, while A + B = 2 x 40 kg = 80 kg and B + C = 2 x 43 kg = 86 kg.

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Correct answer: 31 kg
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