ANSWER SHEET Mathematics Level 2 Shape and Space 2D and 3D shapes 1 If a floor tile is 27cm × 27cm, how many floor tiles would you need to cover the floor of a room that's 11.07m × 5.67m? 27cm Floor tile 5.67m Room 27cm Not to scale 11.07m Answer 861 tiles are needed to cover the floor of the room. First, convert the dimensions of the tiles to metres: 27cm = 0.27m. Calculate the number of tiles that will fit along the length of the room: 11.07 ÷ 0.27 = 41 Calculate the number of tiles that will fit along the width of the room: 5.67 ÷ 0.27 = 21 Multiply these answers to find how many tiles are needed in total: 41 × 21 = 861 1 of 5 learndirect Limited (February) 2013. All rights reserved. V2 ANSWER SHEET Mathematics Level 2 Shape and Space 2 If a lawn turf is 1.5m × 50cm, how many lawn turfs would you need to lay a new lawn in a garden that's 15m × 6m? 50cm Lawn turf 1.5m Garden 6m Not to scale 15m Answer 120 lawn turfs are needed to lay the new lawn. First, convert all the dimensions to metres: 50cm = 0.5m. Calculate the number of turfs that will fit along the length of the garden: 15 ÷ 1.5 = 10 Calculate the number of turfs that will fit along the width of the garden: 6 ÷ 0.5 = 12 Multiply these answers to find how many turfs are needed in total: 10 × 12 = 120 2 of 5 learndirect Limited (February) 2013. All rights reserved. V2 ANSWER SHEET Mathematics Level 2 Shape and Space 3 You need to post a few parcels through this letter box. 9cm LETTER BOX 20cm 17cm 9.5cm 25cm Parcel B 22cm Parcel A 8.5cm 9.1cm 8.9 cm 9.1cm 9.1cm Parcel C Not to scale Parcel D 19 cm 21 cm Which of the parcels above will fit through the letter box? Tick the boxes next to all of the following statements that are correct. Parcel A will fit through the letter box. Parcel B will fit through the letter box. Parcel C will fit through the letter box. Parcel D will fit through the letter box. 3 of 5 learndirect Limited (February) 2013. All rights reserved. V2 ANSWER SHEET Mathematics Level 2 Shape and Space 4 How many of these boxes can you fit sideways onto a shelf that's 2m long and 12cm wide? 7cm Answer 28 boxes will fit on the shelf. Convert the width of the shelf to centimetres: 2m = 200cm. 9.5cm The boxes are 7cm wide, so: 200 ÷ 7 = 28. 9.5cm 5 How many of these cylinders can you fit into a box 10cm x 2m x 20cm? Answer 20 cylinders will fit in the box. Convert the height of the box to centimetres: 2m = 200cm. 10cm 20cm The diameter of each cylinder is 10cm, so two cylinders can fit on the base of the box, which is 10cm long and 20cm wide. The box is 200cm tall so 10 rows of cylinders can fit in: 200 ÷ 20 = 10. Multiply the number of cylinders in each row by the number of rows: 2 × 10 = 20. 4 of 5 learndirect Limited (February) 2013. All rights reserved. V2 ANSWER SHEET Mathematics Level 2 Shape and Space 6 A plan of a room is drawn to a scale of 1:50. The drawing measures 12cm wide and 14cm long. What is the length of the room in metres? Answer The room is 7m long. Multiply each dimension by 50: 12cm × 50 = 600cm 14cm × 50 = 700cm Convert the dimensions to metres: 600cm = 6m 700cm = 7m The room is 7m long. 5 of 5 learndirect Limited (February) 2013. All rights reserved. V2
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