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11+ · Mathematics

EP.M11B Perimeter, Area and Volume: Practice Set 2

GL ASSESSMENT GL · Calculators not allowed · about 56 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A rectangle has length 11 cm and width 6 cm. Calculate the perimeter of the rectangle.

(Total for Question 1 is 2 marks)

A rectangle has length 12 cm and width 5 cm. Calculate the area of the rectangle.

(Total for Question 2 is 2 marks)

A regular pentagon has sides of length 6 cm. Calculate the perimeter of the pentagon.

Diagram NOT accurately drawn

(Total for Question 3 is 2 marks)

A cube has edges of length 5 cm. Calculate the volume of the cube.

(Total for Question 4 is 2 marks)

A square has a perimeter of 44 cm. Calculate the area of the square.

(Total for Question 5 is 2 marks)

A triangle has a base of 14 cm and a perpendicular height of 9 cm. Calculate the area of the triangle.

(Total for Question 6 is 2 marks)

A parallelogram has a base of 13 cm and a perpendicular height of 8 cm. Calculate the area of the parallelogram.

(Total for Question 7 is 2 marks)

A trapezium has parallel sides of length 9 cm and 15 cm, and a perpendicular height of 6 cm. Calculate the area of the trapezium.

(Total for Question 8 is 3 marks)

A garden trophy plaque is made from a rectangle with a triangle on top, forming a simple shield-shaped outline. The rectangle is 13 cm wide and 5 cm tall. The triangle on top has a base of 13 cm and a perpendicular height of 6 cm. Calculate the total area of the shape.

Diagram NOT accurately drawn

(Total for Question 9 is 3 marks)

The diagram shows an L-shaped patio formed from a 14 cm by 9 cm rectangle with a 6 cm by 5 cm rectangle removed from the top right corner (dimensions shown are the outer rectangle sides and the notch removed; not drawn to scale).

Diagram NOT accurately drawn

(a)Calculate the perimeter of the L-shape.(3)

(b)Calculate the area of the L-shape.(3)

(Total for Question 10 is 6 marks)

A cuboid has length 9 cm, width 5 cm and height 4 cm. Calculate the volume of the cuboid.

(Total for Question 11 is 3 marks)

A cuboid has length 6 cm, width 4 cm and height 5 cm. Calculate the total surface area of the cuboid.

(Total for Question 12 is 3 marks)

A circle has a radius of 20 cm. Take π = 3.14.

Diagram NOT accurately drawn

(a)Calculate the circumference of the circle.(2)

(b)Calculate the area of the circle.(2)

(Total for Question 13 is 4 marks)

A rectangular noticeboard has a length of 3.2 m and a width of 65 cm. Calculate the perimeter of the noticeboard in metres.

(Total for Question 14 is 3 marks)

A rectangular allotment measures 16 m by 9 m. Fencing costs 5.50 pounds sterling per metre.

(a)Calculate the perimeter of the allotment.(2)

(b)Calculate the total cost of fencing the whole perimeter of the allotment.(2)

(Total for Question 15 is 4 marks)

A rectangular patio measures 7 m by 5 m. Artificial turf costs 9 pounds sterling per square metre.

(a)Calculate the area of the patio.(2)

(b)Calculate the total cost of covering the whole patio with artificial turf.(2)

(Total for Question 16 is 4 marks)

A solid cuboid measures 12 cm by 9 cm by 7 cm. A smaller cuboid measuring 5 cm by 3 cm by 7 cm is cut out of one vertical edge, running the full height of the solid. Calculate the volume of the remaining solid.

Diagram NOT accurately drawn

(Total for Question 17 is 4 marks)

A semicircular rug has a diameter of 21 cm. Take π = 22/7. Calculate the perimeter of the semicircle (the curved edge plus the straight edge).

Diagram NOT accurately drawn

(Total for Question 18 is 3 marks)

A rectangular flower bed measures 12 m by 7 m. A path of uniform width 1.5 m is built all the way around the outside of the flower bed. Calculate the area of the path only.

Diagram NOT accurately drawn

(Total for Question 19 is 4 marks)

A cuboid water tank has length 50 cm, width 30 cm and height 24 cm.

(a)Calculate the volume of the tank in cm^3.(2)

(b)Water is poured into the tank until it is 5/6 full. Calculate the volume of water in the tank.(2)

(c)Given that 1000 cm³ = 1 litre, calculate how many litres of water this is.(1)

(d)The tap is opened and water drains out of the tank at a constant rate of 2 litres per minute. Calculate how many minutes it takes to drain all of the water found in part (c).(2)

(Total for Question 20 is 7 marks)

Mark scheme · EP.M11B Perimeter, Area and Volume: Practice Set 2

Question 1

M1 correct method, e.g. 11 + 6 + 11 + 6 or 2 * (11 + 6)
A1 34 cm cao
Answer: 34 cm

Question 2

M1 12 * 5 seen
A1 60 cm² cao
Answer: 60 cm²

Question 3

M1 5 * 6 seen (or 6 added five times)
A1 30 cm cao
Answer: 30 cm

Question 4

M1 5 * 5 * 5 seen (or 5³)
A1 125 cm³ cao
Answer: 125 cm³

Question 5

M1 side length found: 44 / 4 = 11 cm
A1 121 cm² cao
Answer: 121 cm²

Question 6

M1 0.5 * 14 * 9 seen
A1 63 cm² cao
Answer: 63 cm²

Question 7

M1 13 * 8 seen
A1 104 cm² cao
Answer: 104 cm²

Question 8

M1 9 + 15 = 24 seen
M1 0.5 * 24 * 6 seen (oe)
A1 72 cm² cao
Answer: 72 cm²

Question 9

M1 rectangle area 13 * 5 = 65 cm²
M1 triangle area 0.5 * 13 * 6 = 39 cm²
A1 104 cm² cao (ft their two areas added)
Answer: 104 cm²

Question 10

(a) M1 missing lengths found: 9 - 5 = 4 cm and 14 - 6 = 8 cm
(a) M1 all six sides added: 14 + 4 + 6 + 5 + 8 + 9
(a) A1 46 cm cao
(a) Answer: 46 cm
(b) M1 large rectangle area 14 * 9 = 126 cm²
(b) M1 removed rectangle area 6 * 5 = 30 cm²
(b) A1 96 cm² cao (ft 126 - their removed area)
(b) Answer: 96 cm²

Question 11

M1 correct substitution into V = l * w * h
M1 9 * 5 = 45 (or equivalent correct intermediate step)
A1 180 cm³ cao
Answer: 180 cm³

Question 12

M1 three face areas found: 6*4 = 24, 6*5 = 30, 4*5 = 20
M1 24 + 30 + 20 = 74 doubled
A1 148 cm² cao
Answer: 148 cm²

Question 13

(a) M1 2 * 3.14 * 20 seen (or 3.14 * 40)
(a) A1 125.6 cm cao
(a) Answer: 125.6 cm
(b) M1 3.14 * 20 * 20 seen
(b) A1 1256 cm² cao
(b) Answer: 1256 cm²

Question 14

M1 65 cm converted to 0.65 m
M1 2 * (3.2 + 0.65) seen (oe)
A1 7.7 m cao
Answer: 7.7 m

Question 15

(a) M1 2 * (16 + 9) seen
(a) A1 50 m cao
(a) Answer: 50 m
(b) M1 their (a) * 5.50 (ft)
(b) A1 275 pounds cao
(b) Answer: 275 pounds sterling

Question 16

(a) M1 7 * 5 seen
(a) A1 35 m² cao
(a) Answer: 35 m²
(b) M1 their (a) * 9 (ft)
(b) A1 315 pounds cao
(b) Answer: 315 pounds sterling

Question 17

M1 large cuboid volume 12 * 9 * 7 = 756 cm³
M1 removed cuboid volume 5 * 3 * 7 = 105 cm³
M1 756 - 105 seen (ft)
A1 651 cm³ cao
Answer: 651 cm³

Question 18

M1 full circumference found: 22/7 * 21 = 66 cm
M1 half of 66 (= 33) added to the diameter 21 (oe)
A1 54 cm cao
Answer: 54 cm

Question 19

M1 outer dimensions found: 15 m by 10 m
M1 outer area 15 * 10 = 150 m²
M1 flower bed area 12 * 7 = 84 m²
A1 66 m² cao (ft 150 - their bed area)
Answer: 66 m²

Question 20

(a) M1 50 * 30 * 24 seen
(a) A1 36000 cm³ cao
(a) Answer: 36000 cm³
(b) M1 their (a) * 5/6 (ft)
(b) A1 30000 cm³ cao
(b) Answer: 30000 cm³
(c) A1 30 litres cao
(c) Answer: 30 litres
(d) M1 their (c) / 2 (ft)
(d) A1 15 minutes cao
(d) Answer: 15 minutes

Perimeter, Area and Volume: Practice Set 2 - Worksheets, Questions and Revision

EP.M11B Perimeter, Area and Volume: Practice Set 2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20