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Plane Mensuration practice questions — GCSE Maths

16 free multiple-choice problems on plane mensuration, ordered to match GCSE Maths difficulty, each with a full worked solution. No account needed — and there's a fresh problem set every day.

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Problem #0869 UK GCSE
Beginnereuclidean-geometry
A rectangle of area has a square of area cut out. The remaining area is:

Problems & worked solutions

Problem #0869 UK GCSE

Problem 1 Plane Mensuration

A rectangle of area 30 cm2 has a square of area 4 cm2 cut out. The remaining area is:

Show answer & worked solution
  1. A. 26 cm2✓ correct
  2. B. 34 cm2
  3. C. 120 cm2
  4. D. 30 cm2

304=26 cm2.

Problem #0870 UK GCSE

Problem 2 Plane Mensuration

An L-shape has outer edges of length 6,4,2,2,4,6 cm. Its perimeter is:

Show answer & worked solution
  1. A. 24 cm✓ correct
  2. B. 12 cm
  3. C. 48 cm
  4. D. 20 cm

6+4+2+2+4+6=24 cm.

Problem #0873 UK GCSE

Problem 3 Plane Mensuration

A rectangle is 5 cm by 3 cm. Its area is:

Show answer & worked solution
  1. A. 15 cm2✓ correct
  2. B. 16 cm2
  3. C. 8 cm2
  4. D. 30 cm2

A=5×3=15 cm2.

Problem #0872 UK GCSE

Problem 4 Plane Mensuration

A rectangle is 5 cm by 3 cm. Its perimeter is:

Show answer & worked solution
  1. A. 16 cm✓ correct
  2. B. 15 cm
  3. C. 8 cm
  4. D. 30 cm

P=2(5+3)=16 cm.

Problem #0871 UK GCSE

Problem 5 Plane Mensuration

A garden is a 10 m by 6 m rectangle with a 2 m by 2 m square pond. The grass area is:

Show answer & worked solution
  1. A. 56 m2✓ correct
  2. B. 60 m2
  3. C. 64 m2
  4. D. 52 m2

10×62×2=604=56 m2.

Problem #0866 UK GCSE

Problem 6 Plane Mensuration

A circle has radius 7 cm. Its circumference (in terms of π) is:

Show answer & worked solution
  1. A. 14π cm✓ correct
  2. B. 49π cm
  3. C. 7π cm
  4. D. 28π cm

C=2π×7=14π cm.

Problem #0863 UK GCSE

Problem 7 Plane Mensuration

A sector has a central angle of 90. What fraction of the whole circle is it?

Show answer & worked solution
  1. A. 14✓ correct
  2. B. 12
  3. C. 90100
  4. D. 190

90360=14.

Problem #0860 UK GCSE

Problem 8 Plane Mensuration

A semicircle is what fraction of a full circle?

Show answer & worked solution
  1. A. 12✓ correct
  2. B. 14
  3. C. 13
  4. D. 1360

A semicircle is half a circle, 12.

Problem #0862 UK GCSE

Problem 9 Plane Mensuration

A semicircle has radius 10 cm. Its arc length (in terms of π) is:

Show answer & worked solution
  1. A. 10π cm✓ correct
  2. B. 20π cm
  3. C. 5π cm
  4. D. 100π cm

12×2π×10=10π cm.

Problem #0868 UK GCSE

Problem 10 Plane Mensuration

An L-shape splits into two rectangles of area 12 cm2 and 8 cm2. Its total area is:

Show answer & worked solution
  1. A. 20 cm2✓ correct
  2. B. 4 cm2
  3. C. 96 cm2
  4. D. 40 cm2

12+8=20 cm2.

6 more Plane Mensuration questions in the app

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