Higher Still Unit 1 Chapter 3 Shawlands

Higher Still Unit 1 Chapter 3 Shawlands Int 1 Use Basic Geometric Properties Mathematics

11cm 11cm 1. A bathroom mat is shown:

The shape is a rectangle with a semi circle cut out 70cm

Calculate the area of the mat. 50cm

U1O2;C056_SQP104 P2, Q2

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

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?

U1O2;CO56_SQP200 P1, Q9

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

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

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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

7. The edging for a garden path is made from metal wire. The wire is bent to form semi-circular loops as shown below:

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

8. The diagram shows the net of a cylinder. 3.7cm

Calculate the surface area of the cylinder U1O2;X101 104 P2, Q11

9. RM Enterprises make guttering for draining liquid. Assuming that end

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

10.Find the volume of this Apple cuboid: Juice 15 cm U1O2;X101 104 P1, Q2 6cm

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