Area and Perimeter: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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GCSE · Area and Perimeter

2.11DB Area and Perimeter: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A rectangular allotment plot is 14 m long and 6 m wide. Work out the perimeter of the plot.

(Total for Question 1 is 1 mark)

A square patio has side length 6.5 m. Work out the perimeter of the patio.

(Total for Question 2 is 1 mark)

Calculate the area of a rectangular whiteboard measuring 160 cm by 90 cm.

(Total for Question 3 is 1 mark)

A triangular window pane has a base of 18 cm and a height of 11 cm. Work out the area of the window pane.

(Total for Question 4 is 1 mark)

A parallelogram-shaped ceramic tile has a base of 13 cm and a perpendicular height of 7 cm. Calculate the area of the tile.

(Total for Question 5 is 1 mark)

A trapezium-shaped garden bed has parallel sides of length 9 m and 5 m, and sloping sides of length 3 m and 4 m. Work out the perimeter of the garden bed.

(Total for Question 6 is 1 mark)

A rectangular field has an area of 108 m². The field is 12 m wide. Work out the length of the field.

(Total for Question 7 is 2 marks)

A parallelogram has an area of 108 cm² and a base of 9 cm. Work out the perpendicular height of the parallelogram.

(Total for Question 8 is 2 marks)

A trapezium-shaped tabletop has parallel sides of length 12 cm and 18 cm and a height of 9 cm. Calculate the area of the tabletop.

(Total for Question 9 is 2 marks)

A triangular flower bed has a right angle between two sides of length 9 m and 12 m. Edging for the flower bed costs 3 pounds per metre. Work out the total cost of edging the flower bed.

(Total for Question 10 is 3 marks)

A trapezium has an area of 84 cm², a height of 8 cm and one parallel side of length 11 cm. Work out the length of the other parallel side.

(Total for Question 11 is 2 marks)

The diagram shows the floor plan of an L-shaped room. The overall length of the room is 12 m and the overall width is 8 m. A rectangular corner measuring 5 m by 3 m has been cut away, with its edges parallel to the sides of the room. Work out the perimeter of the room.

Figure (to be drawn): An L-shaped hexagon formed from a 12 m by 8 m rectangle with a 5 m by 3 m rectangle removed from the top-right corner. Label the bottom edge 12 m and the left edge 8 m. On the notch, label the short horizontal edge 5 m and the short vertical edge 3 m. Leave the remaining top edge and remaining right-hand edge unlabelled, since the student must calculate them.

(Total for Question 12 is 3 marks)

The table shows the base and perpendicular height of three parallelograms.

Parallelogram	Base (cm)	Height (cm)
P	8	5
Q	12	7
R	15	4

Work out the area of each parallelogram.

(a)Area of parallelogram P.(1)

(b)Area of parallelogram Q.(1)

(c)Area of parallelogram R.(1)

(Total for Question 13 is 3 marks)

A student's working to find the area of a parallelogram with base 11 cm and perpendicular height 8 cm is shown below.
Area = 11 + 8 = 19 cm²

(a)Identify the error in the student's method.(1)

(b)Work out the correct area of the parallelogram.(2)

(Total for Question 14 is 3 marks)

A right-angled isosceles triangle has its two perpendicular sides each of length 8 cm. Find the exact perimeter of the triangle, giving your answer in the form (a + b √2) cm, where a and b are integers.

(Total for Question 15 is 2 marks)

A rectangle has length (x + 4) cm and width x cm. The area of the rectangle is 96 cm². Work out the value of x.

(Total for Question 16 is 3 marks)

Mark scheme · 2.11DB Area and Perimeter: Fluency and Exam Drill (Part 2)

Question 1

B1 Perimeter = 2(14 + 6) = 40 m cao
Answer: 40 m

Question 2

B1 Perimeter = 4 x 6.5 = 26 m cao
Answer: 26 m

Question 3

B1 Area = 160 x 90 = 14400 cm² cao
Answer: 14400 cm²

Question 4

B1 Area = 1/2 x 18 x 11 = 99 cm² cao
Answer: 99 cm²

Question 5

B1 Area = base x height = 13 x 7 = 91 cm² cao
Answer: 91 cm²

Question 6

B1 Perimeter = 9 + 5 + 3 + 4 = 21 m cao
Answer: 21 m

Question 7

M1 Use length = area / width = 108 / 12
A1 9 m cao
Answer: 9 m

Question 8

M1 Use height = area / base = 108 / 9
A1 12 cm cao
Answer: 12 cm

Question 9

M1 Use area = 1/2 x (sum of parallel sides) x height = 1/2 x (12 + 18) x 9
A1 135 cm² cao
Answer: 135 cm²

Question 10

M1 Use Pythagoras to find the third side: √9² + 12² = √225
M1 Perimeter = 9 + 12 + 15 (ft their third side)
A1 Total cost = 36 x 3 = 108 pounds cao
Answer: 108 pounds

Question 11

M1 Use 84 = 1/2 x (11 + b) x 8 to form an equation for the other parallel side, b
A1 10 cm cao
Answer: 10 cm

Question 12

M1 Missing horizontal edge = 12 - 5 = 7 m
M1 Missing vertical edge = 8 - 3 = 5 m
A1 Perimeter = 12 + 8 + 5 + 3 + 7 + 5 = 40 m cao
Answer: 40 m

Question 13

(a) B1 40 cm² cao
(a) Answer: 40 cm²
(b) B1 84 cm² cao
(b) Answer: 84 cm²
(c) B1 60 cm² cao
(c) Answer: 60 cm²

Question 14

(a) B1 States the student added the base and height instead of multiplying them (oe)
(a) Answer: The base and height were added instead of multiplied
(b) M1 Area = base x height = 11 x 8
(b) A1 88 cm² cao
(b) Answer: 88 cm²

Question 15

M1 Use Pythagoras to find the hypotenuse: √8² + 8² = √128 = 8sqrt(2)
A1 Perimeter = 8 + 8 + 8sqrt(2) = (16 + 8sqrt(2)) cm cao
Answer: (16 + 8sqrt(2)) cm

Question 16

M1 Forms the equation x(x + 4) = 96
M1 Rearranges and factorises: x² + 4x - 96 = 0 -> (x + 12)(x - 8) = 0
A1 x = 8 cao (x = -12 rejected since a length cannot be negative)
Answer: x = 8

Question 16

3 marks

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Area and Perimeter: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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2.11DB Area and Perimeter: Fluency and Exam Drill (Part 2)

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