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 6 of 78
- A. 2.5m
- B. 3m
- C. 5.5m
- D. 4m
Explanation: The base area is 6500 cm2 = 0.65 m2, and the stated water volume is interpreted as 2.6 m3.
Correct answer: 4m- A. 14m
- B. 24m
- C. 28m
- D. 40m
Explanation: The wheel travels 88 km ÷ 1000 = 0.088 km = 88 m in one revolution, so its circumference is 88 m.
Correct answer: 28m- A. 484Sq.cm
- B. 538 2/7 Sq.cm
- C. 616 Sq.cm
- D. 644 Sq.cm
Explanation: A square with area 484 cm² has side √484 cm = 22 cm, so the wire length is 4 × 22 cm = 88 cm.
Correct answer: 616 Sq.cm- A. 15500Sq.m
- B. 15400Sq.m
- C. 15200Sq.m
- D. 15300Sq.m
Explanation: The square side is √12100 m² = 110 m, so its perimeter is 4 × 110 m = 440 m.
Correct answer: 15400Sq.m- A. 14m
- B. 21m
- C. 28m
- D. None of these
Explanation: A square of area 484 m² has side 22 m, so its perimeter is 88 m. The circle therefore has circumference 88 m, and its diameter is…
Correct answer: 28m- A. 49 Sq.cm
- B. 154 Sq.cm
- C. 378Sq.cm
- D. 1078 Sq.cm
Explanation: The largest circle inside a rectangle cannot have a diameter greater than the shorter side, 14 cm.
Correct answer: 154 Sq.cm- A. 6cm
- B. 3.2 cm
- C. 3 cm
- D. 3.5 cm
Explanation: The increase in area is pi[(r + 1 cm)² - r²] = pi(2r + 1 cm) = 22 cm². Using pi = 22/7 gives 2r + 1 cm = 7 cm, so 2r = 6 cm and r = 3 cm.
Correct answer: 3 cm- A. 14.64cm
- B. 16.36m
- C. 17.60m
- D. 18.40m
Explanation: For a circle, A = pi r², so r² = 24.64 m² ÷ (22/7) = 7.84 m² and r = 2.8 m. Therefore circumference = 2 × 22/7 × 2.8 m = 17.6 m.
Correct answer: 17.60m- A. 110m
- B. 112m
- C. 120cm
- D. 135m
Explanation: For a square, diagonal² = 2 × area, so diagonal² = 2 × 6050 m² = 12100 m². Taking the square root gives a diagonal of 110 m.
Correct answer: 110m- A. 25%
- B. 40.5%
- C. 55%
- D. 56.25%
Explanation: If the original side is s, the new side is 1.25s. Area changes by the square of this factor: (1.25)² = 1.5625, so the increase is 0.5625 ×…
Correct answer: 56.25%111. The area of a rhombus in 2016 Sq.cm and its side is 65cm. The length of its diagonals are________?
- A. 125cm, 35cm
- B. 126cm,32cm
- C. 132cm,26cm
- D. 135cm,25cm
Explanation: The area of a rhombus is half the product of its diagonals, so their product must be 2 × 2016 cm² = 4032 cm².
Correct answer: 126cm,32cm112. The area of largest triangle that can be inscribed in a semicircle of radius R cm is__________?
- A. 2R cm2
- B. R2 cm2
- C. 1/2 R2 cm2
- D. 2 R2 cm2
Explanation: The largest triangle uses the semicircle's diameter as its base, 2R cm, and reaches the arc at height R cm.
Correct answer: R2 cm2- A. No change
- B. 8%decrease
- C. 16% Decrease
- D. 16%increases
Explanation: Triangle area is 1/2 × base × height. The new area factor is 1.40 × 0.60 = 0.84, so the area becomes 84% of its original value and…
Correct answer: 16% Decrease- A. 88cm2
- B. 154cm2
- C. 616cm2
- D. 1250cm2
Explanation: The rectangle's perimeter is 2(18 cm + 26 cm) = 88 cm, so the circle's circumference is also 88 cm.
Correct answer: 616cm2- A. 5:4
- B. 9:4
- C. 4:5
- D. 4:9Fun & Trivia
Explanation: Increasing each side by 50% makes the new side 1.5 times the original side.
Correct answer: 9:4- A. 30m
- B. 40m
- C. 50m
- D. 60m
Explanation: The square has perimeter 160 m, so its side is 160 m ÷ 4 = 40 m and its area is 1600 square metres.
Correct answer: 50m- A. 8cm
- B. 8√2cm
- C. 16cm
- D. 4√2cm
Explanation: For a square, diagonal² = 2 x area. The first diagonal is 4√2 cm, so its area is (4√2 cm)² ÷ 2 = 16 square centimetres.
Correct answer: 8cm- A. 10m
- B. 14.14m
- C. 20m
- D. 25m
Explanation: A square with area 100 square metres has side √100 m = 10 m. The longest straight bamboo that fits inside it is its diagonal, which is…
Correct answer: 14.14m- A. 14m
- B. 18m
- C. 4m
- D. None of these
Explanation: Let the breadth be b metres and the length be 3b metres. Since 3b² = 12 square metres, b² = 4 square metres and b = 2 m, so the length is…
Correct answer: None of these120. The perimeter of a rectangle is 60m. If it's length is twice its breadth then its area is__________?
- A. 160m2
- B. 180m2
- C. 200m2
- D. 220m2
Explanation: Let the breadth be b metres and the length be 2b metres. From 2(l + b) = 60 m, we get 2(3b) = 60 m, so b = 10 m and l = 20 m.
Correct answer: 200m2