a b c d e f Guided practice worksheet Questions are targeted at the grades indicated Areas and perimeters

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1 Areas and perimeters 1 Work out the area of the following shapes. 8 cm 7 cm 11 cm d e f 6 cm 6 cm 10 cm 9 cm Work out the area of the following shapes. a b c 3 mm 3 mm 10 cm 10 mm 6 mm 12 mm 11 cm 8 mm 15 mm Work out the area of the shaded section of these shapes. a b 2 m 1 m 6 m 10 cm 7 cm 7 m 9 cm A 1

2 Areas and perimeters 4 A farmer wants to plant a rectangular field with wheat. The field measures 150 m by 90 m. He needs to use 100 g of seed per 5 m². alculate the quantity of seed the farmer needs to buy. Give your answer in kg Karen is going to wallpaper a wall of her bedroom. The wall is 9 m long and 3 m high. Wallpaper comes in rolls 60 cm wide and 10 m long. alculate the number of rolls of wallpaper Karen needs to buy A rectangle has an area of 30 cm² and one side of 6 cm. a alculate the length of the other side of the rectangle. b alculate the height of a triangle drawn on the 6 cm side of the rectangle that has the same area as the rectangle B 2

3 rawing 3 shapes 1 Which of the following are nets of a cuboid? The following are nets of 3 shapes. Identify the shapes raw the nets of the following shapes. 8 cm 6 cm 8 cm A

4 rawing 3 shapes 4 The container for a tube of sweets is 1 long with a radius of 1.. a raw the net of the container. 175B

5 Elevations and plans 1 raw elevations and plans of the following shapes. a 1 cm b 1 cm 1 cm c d A

6 Elevations and plans 2 Sketch the shapes given by these plans and elevations. a Plan Front elevation Side elevation b Plan Elevation c Front elevation Side elevation Plan 177B

7 Volume of a cuboid and prism 1 Work out the volume of the following shapes. 8 mm 7 mm 7 cm 10 mm 1 cm 1 cm Work out the volume of these prisms. 6 cm 1 11 cm 9cm 2 14cm A cube has a volume of 27 cm 3. alculate the length of one side of the cube A prism has a cross-sectional area of 8 mm² and a volume of 224 mm 3. alculate the length of the prism

8 Surface area of a prism 1 alculate the surface area of the following prisms. a b How many faces does each prism have? 6 cm 10 cm 9 cm a raw the nets of the following prisms and label the sides. Then use this information to calculate their surface areas. Hint: This prism 11 cm has 10 faces. 8 cm... b 5mm 3mm 4mm 9mm

9 oordinates in three dimensions 1 The following points join up to form a cuboid. Plot the points and draw the cuboid. y To plot A(3, 0, 4), start at the origin 0, move 3 along the x-axis (right 3), then 0 parallel to the y-axis (don t move), then 4 parallel to the z-axis (4 along a diagonal line) z A x a B(3, 4, 0) b (0, 4, 4) c (0, 0, 4) d E(3, 4, 4) e F(0, 4, 0) f G(3, 0, 0) g H(0, 0, 0) 2 Plot the following points. y z 5 5 x a A(3, 1, 1) b B(2, 2, 0) c (0, 1, 3) d ( 1, 3, 2) e E( 1, 5, 0) f F( 2, 2, 1) d G(1, 3, 1) h H(0, 2, 4) i I(1, 1, 4) j J(0, 0, 3) k K( 1, 3, 3) 3 Find the midpoint of the straight line joining each pair of points. A(2, 6, 0) and B( 4, 2, 8) Midpoint is = (,, ) = ( 1, 4, 4) a P(3, 1, 6) and Q(1, 5, 0) b A( 2, 2, 8) and B(0, 2, 6) c M(0, 0, 6) and N(6, 0, 0) d (1, 0, 4) and (0, 4, 1) 183A

10 oordinates in three dimensions e V( 3, 3, 3) and W(3, 3, 3)... f T(0, 10, 0) and U( 10, 10, 10)... 4 Find the midpoints of these lines in the cuboid from Question 1. Mark them on your diagram. B a BG b AB c F d B 183B