Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic © CORBETTMATHS 2014
1.! The diagram shows a parallelogram on a centimetre gird. !!! ............................... ! Work out the area of the parallelogram. (3) ! State the units of your answer. 2.! Shown below is a parallelogram !! ............................... ! Work out the area of the parallelogram. (3) ! State the units of your answer. © CORBETTMATHS 2014
3.! !! ..........................cm² ! Calculate the area of this parallelogram. (2) 4. !!! ..........................cm² ! Work out the area of the parallelogram. (2) © CORBETTMATHS 2014
5.! This diagram shows a parallelogram. ! Calculate the area of this parallelogram. ..........................cm² 6.! This diagram shows a parallelogram. (2) !! ..........................cm ! The area of the parallelogram is 54cm². (2) ! Find the length of the base, y. © CORBETTMATHS 2014
7.! The diagram shows a parallelogram that has perimeter 30cm. ! ..........................cm² ! Calculate the area of the parallelogram. (4) 8.! !! ! The diagram shows a logo that is made up of 5 identical parallelograms. ! Find the area of one parallelogram. ..........................cm² (3) © CORBETTMATHS 2014
9.! A shape is made from 4 congruent parallelograms. ! ! The area of the shape is 308cm². ! ! Work out the length labelled y. ! ..........................cm (5) © CORBETTMATHS 2014
10.! Shown below is a parallelogram with length x + 3 cm and perpendicular height ! 4cm. !! ! The area of the parallelogram is 30cm² ! Find the size of x. ..........................cm (4) © CORBETTMATHS 2014
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic © CORBETTMATHS 2014
1.\" The diagram shows a rectangle. ......................... (3) \"\" \" Work out the area. .........................cm² \" Include units. (2) 2.\" Shown below is a rectangle. \"\" \" Work out the area. © CORBETTMATHS 2014
3.\" \" \" The rectangle has length 4.5cm and width 2.8cm. \" Work out the area. .........................cm² (2) 4.\" Shown below is a wooden picture frame. \"\" .........................cm² \" Work out the shaded area. (3) © CORBETTMATHS 2014
5.\" The rectangle below has an area of 65cm². \" .........................cm \" Work out the size of y. (2) 6.\" The rectangle below has an area of 36cm² \"\" \" The rectangle has length 9cm and width 4cm. \" Write down the length and width of two other rectangles with area 36cm². \" Rectangle 1:\" length .......................cm\" \" width .......................cm \" Rectangle 2:\" length .......................cm\" \" width .......................cm (2) © CORBETTMATHS 2014
7.\" Shown below is a square and a rectangle. \" \" The square and rectangle have the same area. \" Find the y. 8.\" Work out the area of the rectangle below. .........................cm \"\" (3) \" Include units. ............................ © CORBETTMATHS 2014 (3)
9.\" A rectangle is 3cm by 6cm. \"\" \" Six of the rectangles are used to make a larger rectangle. \" .........................cm² \" Work out the area of the larger rectangle. (2) 10.\" The diagram shows a rectangle. \"\" .........................cm² \" Work out the area. (3) \" Give your answer in centimetres squared. © CORBETTMATHS 2014
11.\" Here is a rectangle with perimeter 30cm. \"\" \" The length of the rectangle is 10cm. \" Work out the area of the rectangle. .........................cm² (3) © CORBETTMATHS 2014
12.\" \"\" \" Mrs Jenkins is a chicken farmer. \" Her chicken pen is 18m long and 8m wide. \" Each chicken requires at least 3m². \" What is the maximum number of chickens Mrs Jenkins can keep? ......................... (4) © CORBETTMATHS 2014
13.\" Shown below is a rectangle with length 20cm and width 10cm. \" \" The length of the rectangle is increased by 20%. \" The width of the rectangle is increased by 5%. \" Find the percentage increase in the area of the rectangle. .........................% (3) © CORBETTMATHS 2014
14.\" Rebecca draws a rectangle. \" Holly enlarges the rectangle by scale factor 2. \" Rebecca states “the area will be twice as larger as the original rectangle.” \" Show Rebecca is incorrect. (4) © CORBETTMATHS 2014
15.\" Mr Jones is tiling his kitchen floor. \" The kitchen floor measures 3m by 2m. \" Each tile is 30cm by 20cm. \" \" How many tiles does he need? ........................... (3) © CORBETTMATHS 2014
16.\" Jessica is tiling her bathroom wall. \" \" The wall is 240cm by 200cm. \" The tiles are squares with side length 20cm. \" Each box contains 15 tiles and costs £8.75. \" How much will it cost Jessica for the tiles? £........................... (5) © CORBETTMATHS 2014
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic
1. Below is a trapezium, ABCD. ! Work out the area of the trapezium. ....................cm² 2. (2) ! Calculate the area of the trapezium. ....................cm² (2)
3. ! Calculate the area of the trapezium. ....................cm² 4. ! (2) ! The area of the trapezium is 63cm². ! Work out the value of x. ....................cm (2)
5. The area of the trapezium is 34cm². ....................cm ! Work out the value of x. (2) 6.! A club logo is made from a square and a trapezium. ! Calculate the area of the logo ..............................cm² (4)
7.! Shown is a cardboard box. ! ! Calculate the surface area of the box. ..............................cm² (5)
8.! A design is shown below. ! Find the area of the design. ..............................cm² (5)
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic
1.! ! Calculate the area of the triangle. .........................cm² (2) 2.! A triangle has base length of 14cm. ! The perpendicular height is 9cm. .........................cm² ! Find the area of the triangle. (2) 3.! ! Work out the area of the right-angled triangle. .........................cm² (2)
4. On the grid below each square represents 1cm by 1cm. ! Draw a triangle with an area of 10cm². (2) 5.! Shown below is a right-angled triangle. ! The area of the triangle is 21cm² ! Calculate y, the length of the base. .........................cm (2)
6.! Below is a right-angled triangle and a rectangle. ! The area of the right-angled triangle is equal to the area of the rectangle. ! Calculate x .........................cm (4)
7.! ! (a) On the centimetre grid above, draw an isosceles triangle with area 15cm² (2) ! (b) On the centimetre grid above, draw a scalene triangle with area 10cm² (2)
8.! Below is a diagram of a right-angled triangle and a square. ! The area of the square is twice the area of the triangle. ! Calculate the length of each side of the square. .........................cm (4)
9.! Below is a sketch of a triangle, not drawn to scale. ! (a) Make an accurate drawing of the triangle below. (2) ! ! (b) Calculate the area of the triangle. ! .........................cm² (2)
10.! The diagram below shows a garden. ! The garden has a triangular vegetable patch and the rest of the garden is grass. ! Calculate the area of the garden that is grass. .........................m² (4)
11.! A logo consists of a rectangle and an isosceles triangle. ! Calculate the area of the logo. .........................cm² (4)
12.! The diagram below shows a farmerʼs field. ! The farmer wants to plant a new crop. ! Each sack of seed covers 30m². ! The cost of each sack is £6. ! Work out the cost to buy enough seed to cover the field. ! £......................... (6)
13.! ABCD and WXYZ are squares. ! ! Calculate the area of the shaded square WXYZ. .........................cm² (4)
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic © CORBETTMATHS 2014
1.! .........................cm² (3) !! ! Calculate the area of the shape. 2.! Shown is an L shape. !! .........................cm² ! Calculate the area of the shape. (3) © CORBETTMATHS 2014
3.! !! .........................cm² ! Calculate the area of the shape. (3) 4.! !! ! The area of the compound shape is 106cm². ! Work out the size of x. .........................cm (3) © CORBETTMATHS 2014
5.! Connor is painting the front of his house. ! The tin of paint he has can cover 16m². ! Will he have enough paint? ! You must show your workings. ! ................................................................................................................................ ! ................................................................................................................................ ! ................................................................................................................................ (4) © CORBETTMATHS 2014
6.! !! ! Calculate the area of the shape above. .........................cm² (3) © CORBETTMATHS 2014
7.! The shape below is made from five identical squares. ! ! The area of the shape is 180cm². ! Work out the length of side y. .........................cm (3) © CORBETTMATHS 2014
8.! !! ! The diagram represents the side view of a shed with a sloping roof. ! Calculate the area of the side view of the shed. ! Give your answer to an appropriate degree of accuracy. .........................m² (3) © CORBETTMATHS 2014
9.! Shown is the plan of a small field. !! ! Thomas is going to keep some chickens in the field. ! Each chicken needs 5m². ! Work out the greatest number of chickens Thomas can keep in the field. ......................... (5) © CORBETTMATHS 2014
10.! Bea makes a logo for a club in school. !! ! Work out the area of the logo. .........................cm² (4) © CORBETTMATHS 2014
11.! The diagram shows a rectangle with a circle cut out. ! ! The rectangle has length 20cm and width 11cm. ! The circle has diameter 8cm. ! Work out the shaded area. ! Give your answer correct to 2 decimal places. .........................cm² (4) © CORBETTMATHS 2014
12.! Shown is a cross-section of a river. ! Calculate an estimate of the area of the cross section by considering the ! trapezium, rectangle and triangle. .........................m² (6) © CORBETTMATHS 2014
13.! Shown is an L shape. !! ! All measurements are in centimetres. ! Find an expression for the area of the L shape. ! ! .........................cm² (3) © CORBETTMATHS 2014
Name: ___________________________ GCSE (1 – 9) Area and Perimeter Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Keep an eye on the time. • Try to answer every question. • Check your answers if you have time at the end mathsgenie.co.uk
1 The diagram shows two shapes on a centimetre grid. Q P (a) Find the area of shape P cm2 (b) Write down the mathematical name for shape Q. (c) Find the area of shape Q. cm2 (Total for question 1 is 3 marks)
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