<p>Higher Still Unit 1 Chapter 3 Shawlands Int 1 Use Basic Geometric Properties Mathematics</p><p>11cm 11cm 1. A bathroom mat is shown:</p><p>The shape is a rectangle with a semi circle cut out 70cm </p><p>Calculate the area of the mat. 50cm </p><p>U1O2;C056_SQP104 P2, Q2</p><p>2. A milk carton is in the shape of a cuboid with a square base. The sides of the base are 8 centimetres long. The volume of the carton is 1280 cubic centimetres. What is the height of the carton? U1O2;C056_SQP104 P2, Q7</p><p>3. The diagram shows two candles. 10cm Each candle is in the shape of a cube. BA The length of time that each candle will 10cm B burn is proportional to its volume. 10cm 15cm Candle A has a volume of 1500cm3. 10cm It will burn for 30 hours. 10cm How long will candle B burn?</p><p>U1O2;CO56_SQP200 P1, Q9</p><p>4. This mirror is in the shape of a rectangle with a 40 cm semi-circular end. It has a wooden edge all the way round the outside. 30 cm Calculate the total length of the wooden edge. Give your answer to the nearest centimetre. U1O2;CO56_SQP200 P2, Q2</p><p>5. (a) Use the formula: 12 Volume of pyramid = 1/3 of (area of base x height) cm To work out the volume of the square-based pyramid. 5 cm 5 cm (b) This cuboid has the same volume as 4 cm the pyramid shown above. 2 cm Find the length of the cuboid. length U1O2;X056 102 P2, Q1</p><p>087e9da1e9b95a207c69adacd47eab11.doc 1 of 2 06/04/18 Higher Still Unit 1 Chapter 3 Shawlands Int 1 Use Basic Geometric Properties Mathematics</p><p>6. This sign is in the shape of a rectangle 64 cm and a semi-circle. 40 cm Calculate the area of the sign. Give your answer to the nearest square centimetre 90 cm U1O2;X056 102 P2, Q10</p><p>7. The edging for a garden path is made from metal wire. The wire is bent to form semi-circular loops as shown below:</p><p>26 cm Each loop is 26 centimetres wide. Find the number of loops needed for one side of a path 13 metres long. How many whole metres of wire are needed to make all the loops for one side of this path? U1O2;X101 102 P2, Q11</p><p>8. The diagram shows the net of a cylinder. 3.7cm</p><p>Calculate the surface area of the cylinder U1O2;X101 104 P2, Q11</p><p>9. RM Enterprises make guttering for draining liquid. Assuming that end </p><p> pieces are fitted, what 8cm volume of liquid will this 8cm section of guttering hold 8cm 300cm when completely full? U1O2;X101 102 P1, Q5</p><p>10.Find the volume of this Apple cuboid: Juice 15 cm U1O2;X101 104 P1, Q2 6cm</p><p>7 cm </p><p>7 cm </p><p>7 cm </p><p>087e9da1e9b95a207c69adacd47eab11.doc 2 of 2 06/04/18</p>